HELP LIKE WHAT ELSE DO I DO???? IT WONT LET ME PROOVE THAT LINES BA AND CD ARE PARALLEL

HELP LIKE WHAT ELSE DO I DO???? IT WONT LET ME PROOVE THAT LINES BA AND CD ARE PARALLEL

Answers

Answer 1

The triangles ABC and CDA are congruent by SAS criteria.

What are the criteria for congruent triangles?

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

Given that,

In quadrilateral ABCD, AD = BC and AD ║BC.

Now, the given relation ΔABC ≅ ΔCDA can be proved as follows,

In ΔABC and ΔCDA, it is found as,

AC = AC             (Common sides)

AD = BC              (Given data)

And, ∠ACB = ∠DAC (Interior angles between parallel lines AD and BC)

Thus, ΔABC ≅ ΔCDA by SAS congruence criteria.

Hence, the given relation ΔABC ≅ ΔCDA is proved by SAS criteria.

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Related Questions

A kite flys in the air has an 11-ft line attached to it. It line pulled cast a 10ft shadow. Find the height of the kite. If necessary

Answers

Answer:

Step-by-step explanation:

Due to the cast of the shadow regardless of that the line will still be 11 feet due to the lines length

Gage bought 5 pairs of running shoes for $49 each.
He raised the price and sold the shoes for $65 each.
How much total profit did he make by selling all
five pairs of running shoes?

Answers

Answer:

$80

Step-by-step explanation:

His buying cost for 1 pair of shoes: $49

His selling price for 1 pair of shoes: $65

His profit on selling 1 pair of shoes: $65 - $49 = $16

His profit on selling 5 pairs of shoes: 5 × $16 = $80

The graph below is a polynomial function in the form f(x)=(x-a)(x-b). What are a and b?

A=
B=

Answers

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

What is meant by polynomial function?

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. For instance, the polynomial 2x+5 has an exponent of 1. The zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most common types of polynomials in precalculus and algebra.

Given,

f(x)=(x-a)(x-b)

From the above graph, f(x) passes through points (2, 0), (-1, 0), (0, -2)

Let us take (2, 0)

(2-a)(2-b)=0

4-2b-2a+ab=0

(-1, 0)⇒(-1-a)(-1-b)=0

1+b+a+ab=0

(0, -2)⇒-2=(-a)(-b)

ab= -2

a= -2/b

4-2b-2a-2=0

-2a-2b+2=0

a+b-1=0

b²-2b+b-2=0

b(b-2)+1(b-2)=0

b= 2 or b= -1

a+2-1=0

a= -1

a-1-1=0

a=2

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

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The question is linked below, please respond asap its due really soon

Answers

The Domain and range tends to (-∞,∞) and for more clarity see the graph mentioned below.

Define Domain and Range

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.    Domain = the set of all x-coordinates    Range = the set of all y-coordinates The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. DomainFunctionRange.

Given expression is,

f(x) = -1/4x³ + 4x - 3

In this x ∈ R, so

Domain = (-∞,∞) , { x|x  ∈ R }

Range =   (-∞,∞) ,{ y|y ∈ R }

Hence, the Domain and range tends to (-∞,∞) and for more clarity see the graph mentioned below.

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A drone is flying over a
baseball field, directly between
first and second base. The angle
of elevation from first and second
base to the drone is 77° 9' and
65° 45' 18", respectively.
If the bases are 90 feet apart,
find the height of the drone.

Answers

The height of the drone would be about 132.92 feet.

What is a tangent ratio in trigonometry?

The tangent ratio is the ratio of the opposite side to the adjacent side of a right triangle. Same to the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right-angle triangles.

Given that the angle of elevation from the first and second base to the drone is 77° 9' and 65° 45' 18", respectively.

[tex]77^o9'=77\frac{9}{60}=77.15^o[/tex]

[tex]65^o 45' 18"=65+\frac{45}{60}+\frac{18}{3600}\\\\65^o 45' 18"=65.755^o[/tex]

tan 77°9 = h/AD        and        tan 65.75°=h/DB

AD + DB = 90

h/tan 77°9 + h/65.75° = 90

Solving this we get

h ≈ 132.92 feet.

Hence, the height of the drone would be about 132.92 feet.

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a chemical engineer wants to compare the hardness of four blends of paint. six samples of each paint blend were applied to a piece of metal. the pieces of metal were cured. then each sample was measured for hardness. in order to test for the equality of means and to assess the differences between pairs of means, the analyst uses a one-way anova with multiple comparisons, finding a resulting f test statistic of 6.02 with a p-value of .034. what is the appropriate statistical conclusion?

Answers

The appropriate statistical conclusion is that there is sufficient evidence to conclude that the means are different.

How to interpret the test results?

The null and the alternative hypothesis for this problem are given as follows:

Null hypothesis: means are equal.Alternative hypothesis: means are different.

The p-value and the significance level for this problem are given as follows:

p-value: 0.034.Significance level: 0.05. (this is the standard when the significance level is not stated).

As the p-value is less than the significance level, there is enough evidence to reject the null hypothesis, thus the appropriate statistical conclusion is that there is enough evidence to conclude that the means are different.

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HELP PLS
Graph -8x - y = 8.

Answers

Answer:

Step-by-step explanation:

The graph of y = 8 is a horizontal line through 8, on the y-axis

..........i need help past due

Answers

Answer: second and third from the top right

Step-by-step explanation: 1:2 and 1 to 2 are the same thing, and are ratios. The rest of the answers have nothing to do with ratios.

Find the slope of the line.​

Answers

Answer: -2

Step-by-step explanation:

Slope is rise/ run or y2 - y1 / x2 - x1

We see that y goes down by 6, and x go over by 3

So slope is -6/3 = -2

in a probability experiment, eric flipped a coin 36 times. the coin landed on heads 24 times. what is the ratio of heads to tails in this experiment?

Answers

The ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

What is the ratio?

A ratio is a relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other.

For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.

So, we know that the coin is flipped 36 times in the probability test:

Head = 24

Tails = 36 - 24 = 12

The ratio of heads to Tails:

Heads:Tails
24:12

24/12

2/1

2:1


Therefore, the ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

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Complete question:
In a probability, experiment Eric flip a coin 36 times. The coin landed on the head 24 times. What is the ratio of heads to tails in this experiment?

A.3/2

B.1/2

C.2/3

D.2/1

what is the hypotenuse???

Answers

To find the answer to this problem, you will need to use the Pythagorean Theorem.

What is the Pythagorean Theorem?

The Pythagorean Theorem is an equation that represents the summation of the sides of a right triangle.

a² + b² = c², where a is the shortest leg of the triangle, b is the longest leg and c is the hypothenuse.

You have been given a (12) and b (16)

First, plug your given information into the equation: 12² + 16² = c²

Next, simplify your equation by squaring both terms:

12² = 144

16² = 256

Then, add these two answers together: 144+ 256= 400

This leaves you with the equation: 400 = c²

To isolate the c as an individual term, take the square root of both sides:

          [tex]\sqrt{400} = \sqrt{c^{2} }[/tex]

The above equation leaves you with the answer 20 = c, which is the hypothenuse

log: (x) + log3(2x - 1) = log3 (6)

Answers

The solution of the logarithmic expression is 2x² - x - 6 = 0.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is log(x) + log3(2x - 1) = log3 (6). The expression will be solved as below,

log(x) + log3(2x - 1) = log3 (6)

log ( 3x (2x-1) = log18

3x ( 2x - 1 ) = 18

x ( 2x - 1 ) = 6

2x² - x = 6

2x² - x - 6 = 0

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Which table represents a function? Choose all that apply.

Hint: there are 3 correct answers

Answers

Answer:a,b,c

Step-by-step explanation:easy work just trust me

what is the equation of the line that passes through the point(-6,-7) and has a slope of 1/3

Answers

Answer:

The equation of the line that passes through the point (-6, -7) and has a slope of 1/3 is:

x - 3y + 15 = 0

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).

To find the equation of the line that passes through the point (-6, -7) and has a slope of 1/3, we can use the point-slope form of a line:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line and m is the slope of the line.

Plugging in the given values, we have:

y - (-7) = (1/3)(x - (-6))

Which simplifies to:

y + 7 = (1/3)x + 2

Multiplying both sides by 3, we have:

3y + 21 = x + 6

Subtracting 21 and 6 from both sides, we have:

3y - x - 15 = 0

Therefore, the equation of the line that passes through the point (-6, -7) and has a slope of 1/3 is:

x - 3y + 15 = 0

Write 3/4 in simplest form a decimal and percent

Answers

Answer:

1/ In decimal, 3/4 is 0.75

2/ In percent, 3/4 is 75%

Step-by-step explanation:

1/ take 3 divided by 4, and you will get 0.75 as an answer for decimal

2/ For percent, 3/4 is simple for of 75%/100%

Factor 2x^2 - 4x - 30 completely.

Answers

Answer: 2(x-5)(x+3)

Step-by-step explanation:

(x+3)(2x-10)

2(x-5)(x+3)

The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write the
formula for the
The
n’th term of that sequence.

8,16,32,…
4,11,17,….

Answers

Answer:

The sequences below is geometric sequences. 8,16,32

Step-by-step explanation:

It is geometric as far as it goes.

Notice that the ratio between each successive pair of terms is constant:

4/2=2

8/4=2

16/8=2

That these ratios are all the same is sufficient for the given terms to form a geometric sequence with general term:

an=[tex]2^{n}[/tex]

The sequence then continues:

2

,

4

,

8

,

16

,

32

,

64

,

128

,

256

,

512

,

1024

,

2048

,

...

The question is in the "...". Any finite number of terms does not determine an infinite sequence.

For example we can match the sequence  

2

,

4

,

8

,

16

 with a cubic polynomial:

[tex]a_{n}[/tex]=1/3([tex]n^{3}[/tex] -3[tex]n^{2}[/tex] +8n)

Then we would find that the next terms would be  

30

,

52

,

84

,

.

the second 4 11 ,17 is wrong

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The triangle has a perimeter of 65 feet. What are the lengths of sides l,m,
and n
The system of equations that represents this situation is 65= _________?

Answers

Answer:

65 = l + m + n

Step-by-step explanation:

The perimeter of a triangle is the sum of its 3 sides:

 65 = l + m + n

i pray for help i hope someone see this​

Answers

Answer:

Step-by-step explanation: Step one is distributive property because you distribute the numbers inside the parenthesis. Step 2 is communitive property because you switch the order. Step 3 is conbine-like terms. Step 4 is the addition property of equality. Step 5 is the division property of equality. Hope this helps!

help pls explain!!!!!!!!!!!!

Answers

The value of the given logarithmic expression is -142.20.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the logarithmic values as,

log₃ (t) = 5.44

log₃ (y) = 11.03

log₃ (z) = 7.74

Now, the value of the expression can be written as,

12 log₃ (z⁷ / y⁵t²)

= 12 { log₃ (z⁷) - [ log₃ (y⁵) + log₃ (t²) ] }

= 12 { 7log₃ (z) - [ 5log₃ (y) + 2log₃ (t) ] }

= 12 [7×7.74 - (5×11.03 + 2×5.44)]

= 12 [ 54.18 - (55.15 + 10.88)]

= 12(54.18-66.03)

= 12 × (-11.85)

= -142.20

Hence, the value of the given expression is -142.20.

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Question 5 of 6Maximize the objective function P = 5x + 3y for the given constraints.
x ≥ 0
y ≥ 0
3x + 6y ≤ 48
2x + 8y ≤ 56

Answers

On solving the provided question, we got that - The maximized value of the objective function is 38

what is function?

Relationships between a group of inputs and one output per input are referred to as functions. A function is, to put it simply, a connection between inputs that are all connected to the same output. There is a domain and a codomain, or scope, for every function.

Given is the objective function:

Max P = 5x + 3y

The following are the constraints:

3x + 6y ≤ 48

2x + 8y ≤ 56 \sx ≥ 0 y ≥ 0

We employ the graphical method to achieve this.

The graph of the constraints is included as an attachment.

The graph leads us to the following doable point:

[tex](x,y) = (4,6)[/tex]

[tex]Substitute 4 for x and 6 for y in the objective function.\\Max P=5x+3y[/tex]

so,

[tex]P = 5x4+x6\\P = 38[/tex]

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Lines c and d are parallel lines cut by transversal p.

Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.

Answers

∠2 is congruent to ∠6 based on corresponding angle theorem.

What is corresponding angle theorem?Corresponding angles are formed when two parallel lines are intersected by a transversal line.The corresponding angles theorem states that "when a line intersects two parallel lines, the corresponding angles in the two regions of intersection are congruent."Assume that A, B, and C are distinct lines. Then A and B are parallel if and only if the corresponding angles of intersection of A and C, as well as B and Care, are equal.

So here ,

Since in this question they are corresponding angles of parallel lines cut by a transversal, they are ∠2 ≅ ∠6 according to the Vertical Angles Theorem.

The complete question is : "Lines c and d are parallel lines cut by transversal p. Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8. Which must be true by the corresponding angles theorem?"

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Plot the point on this function with an x-value of 6.
What is the y-value of this point?

Answers

Answer:

7

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Go to 6 on the x value and then follow that line up until you reach the purple line. Then go to the left and see what the y vaule is(Height)

Which of the following is approximately equal to the sum of the addition problem below?
8/9 + 9/10

A.
8/10
B.
1
C.
2
D.
1/2

Answers

Answer: 2

Step-by-step explanation:

[tex]\frac{8}{9} \approx 1\\\\\frac{9}{10} \approx 1\\\\\therefore \frac{8}{9}+\frac{9}{10} \approx 1+1=2[/tex]

mrs. smith told her students that anyone who scores over 90% on the test will get an extra 30 minutes of recess. which group contingency is this?

Answers

Mrs. smith told her students that anyone who scores over 90% on the test will get an extra 30 minutes of recess: Among the group contingency this is an independent group,

What is group contingency?

A particular kind of contingency known as a group contingency (GC) takes use of peer influence by using group reinforcement.

The instructor may use a group contingency to praise an entire class or a smaller subset of pupils for finishing assignments, exhibiting good classroom behavior, or engaging in other desired behavior. Multiple kids' problematic behaviors can be addressed at once using group contingencies.

Dependent, independent, and interdependent group contingencies are the three different types.

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The complete question is as follows:

Mrs. Smith implemented a procedure where she exclaimed that if any student scored over 90% on the test, they would get an extra 30 minutes of recess. Which group contingency is this?

a. Token economy

b. Dependent group contingency

c. Interdependent group contingency

d. Independent group

pls help
law of sines and cosines

Answers

Answer:

1. 29 2. 35

Step-by-step explanation:

check the attached file

if F,B, and D are midpoints of EC, AC, and AR respectively, then …

Answers

The lengths of the parts of the median lines FA, BE, CD, that extends from the vertices of the triangle ΔACE to the midpoints of the sides EC, AE, and AC are;

A. G is called the centroid of the triangle ΔACE

B. G is also the center of gravity of a uniform density triangle. The correct option is True; T

C. GF = 5

D. DC = 18

E. GB = 7

What is a median of a triangle?

A median of a triangle is a line segment that extends from a vertex of a triangle to the midpoint of the side opposite the vertex

The midpoints of the sides of the triangle = F, B, and D

The midpoint of EC = F

The midpoint of AC = B

Midpoint of AE = D

A. The lines CD, BE, and FA are called median lines

The point of intersection of the three median lines of a triangle is the centroid of the triangle.

The point G is called the centroid of the triangle

B. The centroid of a triangle and center of gravity of the triangle are located at the same position in a uniformly dense triangle, therefore, G is the center of gravity, True, T

C. In the relationship of a median, we get;

AG = (2/3)·FA

GF =  (1/3)·FA

Therefore, AG = 2·(GF)

GF = 0.5 × AG

GF = 0.5 × 10 = 5

GF = 5

D. DG = (1/3) × DC

Therefore; DC = 3 × DG

DG = 6, therefore, DC = 3 × 6 = 18

DC = 18

E. EB = 21

GB = (1/3) × EB

Therefore; GB = (1/3) × 21 = 7

GB = 7

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You are designing a rectangular poster to contain 48 in^2 of printing with a 3​-in margin at the top and bottom and a 1​-in margin at each side. What overall dimensions will minimize the amount of paper​ used?

Answers

To minimize the amount of paper used to create a rectangular poster with a given amount of printing and specific margins, you can use the formula for the area of a rectangle to determine the dimensions that will minimize the area of the poster.

In this case, the area of the poster must be at least 48 square inches to contain the printing, and the margins at the top and bottom must be 3 inches each, for a total of 6 inches. The margins at the sides must be 1 inch each, for a total of 2 inches. Therefore, the minimum area of the poster is 48 + 6 + 2 = 56 square inches.

To minimize the amount of paper used, we want to find the dimensions of the poster that will have the smallest possible area while still satisfying the constraints on the margins and the amount of printing. We can do this by using the formula for the area of a rectangle:

A = lw

where A is the area of the rectangle, l is the length, and w is the width.

In this case, we want to find the length and width that will minimize the area of the rectangle while still satisfying the constraints on the margins and the amount of printing. We can do this by setting the area of the rectangle equal to the minimum area we calculated above (56 square inches) and then solving for the length and width:

A = lw = 56

lw = 56

We can then use the constraints

I will give this a try, and if anything, maybe my strategy will suggest this problem could use some clarification. I think the ambiguity of the problem is a challenge. Anyway, 48 sq in of printing space can be achieved via 1x48, 2x24, 3x16, 4x12, or 6x8 (using strictly whole number factors). The 3+3=6 inches of added height and 1+1=2 inches of added width can be added in turn to each of these possible length and width pairs.

There are technically ten configurations of poster measurements since the problem didn’t state if it was landscape or portrait in orientation. For example, l x w, using 6x8, changes to 8x14=112 sq in. since you added 2 in of length and 6 in of height; 8x6 changes to 10x12=120 sq in. The 4x12 and 12x4 variants yield 6x18 (108 sq in) and 14x10 (140 sq in). The 3x16 and 16x3 variants yield 5x22 (110) and 18x9 (162). Most likely the 2x24 and 1x48 print areas are not optimal, but yield 4x30=120, 26x8=208, 3x54=162, and 50x7=350, and make me wonder—what exactly is getting printed?! Context matters! At the end of all this, the 1x48 uses only 162 sq in of paper while maintaining the 48 sq in of printing space. That’s my answer. Go with the 1x48–>3x54=162 sq in. Good luck!

What is the difference between a formal and informal proof? (Please give explanations)

A) A formal proof uses a table or a list of steps, whereas an informal proof uses paragraphs.

B) A formal proof provides the reasons for steps, whereas an informal proof does not.

C) A formal proof is much shorter, whereas an informal proof is longer.

D) A formal proof uses equations, whereas an informal proof only uses text.

Answers

The difference between a formal and informal proof in arithmetics is that a formal proof uses equations, whereas an informal proof only uses text. That is option D.

What is formal and informal proof?

A formal proof is defined as the concept used in arithmetics to show that the final answer to an expression obeys a particular rule of an equation or formula.

An informal proof is defined as the concept that shows the answer to a mathematical expression without the use of formula or derived equation.

Therefore, the difference between the formal and informal proof is that a formal proof uses equations, whereas an informal proof only uses text.

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Clare vwas solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can't find it. Where is Clare's mistake and what is the solution to the equation? 12(5 + 2y) = 4y- (5-9y) 72 + 24y = 4y -5-9y 72 + 24y = -5y -5 24y = -5y - 77 29y = -77 -77 y29​

Answers

Clare's mistake is at the second step and the solution to the equation is -65/11.

What is the distributive property of multiplication?

In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Based on the information provided above, we can logically deduce that Clare's mistake is at the second step because the product of 12 and 5 is equal to 60, rather than 72. Additionally, Clare did not distribute the negative sign to all the terms of the equation.

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

12(5 + 2y) = 4y - (5 - 9y)

60 + 24y = 4y - 5 + 9y

60 + 24y = 13y - 5

24y - 13y = -5 - 60

11y = -65

y = -65/11

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While Japan has an excellent network of traditional road, rail, air, and sea travel, the country also boasts the exceptionally fast and safe Shinkansen system of bullet trains.Complex imagine that i was conducting a study right now that compared 15-year old students to a group of 65 year-old retirees, to see who scored better on a memory test. is this a within-subjects design or a between-subjects design? group of answer choices within-subjects between-subjects both within-subjects and between-subjects impossible to determine Can Cramer's rule be used to solve this system of equations?-211 - 12= 2- 3- 3x1 - 272YesNoIf Yes, write the determinants used to compute x.x2det(det(Compute12-2-3-2-3-1-2312-3 C2h4+3o2>2co2+2h2o enthalpy Tatiana has a hearing difference and has received a video from her friend through email. To understand what is said in the video, Tatiana can use:A) a large print keyboardB) a trackball C) closed captioning D) text to speechPLEASE HURRY RUNNING OUT OF TIME!! Name the slope and one point ory-1=2(x+3)Q(__)=_m= in order to achieve replacement level, most people in a society would have to have approximately how many children? 1.) Focus (0,4) and a directrix y = -42.) Focus of (3,0) and a directrix of x = -33.) A parabola has a focus of (-2,0) and a directrix at x = 2. ( Answer the following)- What is the vertex of the parabola?- Is the equation in the form y= ax^2 or x = ay^2?- What is the focal length? - What is the equation of the parabola? Thank you. What is an angle that is supplementary to BGD A person's inner experiences and behaviors are considered to reflect a psychological disorder if they cause the person considerable distress, or greatly impair his ability to function as a normal individual (often referred to as functional impairment, or occupational and social impairment). If sin (0) = -5.7, what is sin (2 - 0)?A. -7.5B.-5.7C. 5.7D. 7/5 calculate the angular velocity of a 30 cm radius car tire when the car travels at 30.0 m/s (about 54 km/h). Question 2 (1 point)Which was one of the reasons Martin Luther wrote his Ninety-five Theses?the Church's sale of indulgences to pardon sinsthe worship of graven images in churches and cathedralsthe methods used by the Inquisition to convert Jewsthe Bible being written in German so everyday people could read it A circle of radius 5 is centered at the origin. The line x + 2y = 5 intersects this circle at the points A and B. Determine the length of the major arc AB. Just like the background in art history needed by an archaeologist in order to evaluate finds of ancient art, the nautical archaeologist needs specialized knowledge of the history of ship design in order to understand shipwrecks.(A) Just like the background in art history needed by an archaeologist in order to evaluate finds of ancient art, the(B) Just as an archaeologist who needs a background in art history to evaluate finds of ancient art, a(C) Just as an archaeologist needs a background in art history to evaluate finds of ancient art, so a(D) Like the archaeologist who evaluates finds of ancient art and requires a background in art history, so the(E) As evaluating finds of ancient art requires an archaeologist who has the background in art history, so the Many nutrient cycles are coupled and changes in one cycle will affect another. This means that a change in the amount of carbon dioxide fixed is intimately affected by the amount of __________. What's one way in which Shang architecture reinforced the social distinctions of their society? Choose 1 answer: 5. An agonist is a chemical capable of binding to a receptor and initiating a reaction. Anantagonist is a chemical that binds to the receptor but does not cause a reaction, effectivelyblocking that receptor. Sketch a model (using the one you colored as a guide) to show how anantagonist works. What is the mass of an 8oz styrofoam cup? Why is it believed that Spitz and Buck must fight to the death? Explain why they are not broken up during their fight.