Find the value of the exterior or interior angle

Find The Value Of The Exterior Or Interior Angle

Answers

Answer 1

the values of both angles are

2x - 8 = 2*25 - 8

          = 42 degree

x -7 = 25 - 7

      = 18 degree

What is interior and exterior angles ?

Both internal and external angles make up a triangle. The angle that forms between two of a triangle's adjacent sides is known as the interior angle. The angle created between a triangle's side and its next-to-furthest side extending outward is known as the exterior angle. Triangle Angle sum feature of triangle states for ABC that 180 degrees is the sum of the triangle's internal angles.

Calculation

2x - 8 + x - 7 + 90 = 180

3x - 15 = 90

x = 25

therefore the values of both angles are

2x - 8 = 2*25 - 8

          = 42 degree

x -7 = 25 - 7

      = 18 degree

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Related Questions

Please Help I don’t want to fail this test my grade is low!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/3

Step-by-step explanation:

the is slope of this graph is 1_3

Answer:

1/3

Plssssss mark as brainliest

Step-by-step explanation:

To find the slope of a graph you need to look for 2 pairs of accurate xand y values

First value which is accurate is:

x = 1 and y= 4

Second pair which is accurate is :

x = 7 and y = 6

Gradient = rise/run = y2-y1/x2-x1

im taking y2 as 6, x2 as 7, y1 as 4 and x1 as1

6-4/7-1

=2/6

=1/3

For each sequence, decide whether it could be arithmetic or geometric or neither. 200, 40, 8

Answers

Answer:

geometric sequence

Step-by-step explanation:

an arithmetic sequence has a common difference d between consecutive terms.

40 - 200 = - 160

8 - 40 = - 32

no common difference thus not arithmetic

a geometric sequence has a common ratio r between consecutive terms

[tex]\frac{40}{200}[/tex] = [tex]\frac{4}{20}[/tex] = [tex]\frac{1}{5}[/tex]

[tex]\frac{8}{40}[/tex] = [tex]\frac{1}{5}[/tex]

thus there is a common ratio so sequence is geometric

30 POINTS!!!!
Please turn this into an EQUATION
One-half times the difference of twenty and a variable is two thirds
Here are the possible answers

Answers

The answer should be the first one .

approximate √86 as a decimal to the tenths place.

Answers

it would be 9.3 rounded

Write the vertex form of the following function. (fill in each blank with the correct numerical
value: include the sign where needed)
An absolute value function with a vertex of (-12,10) and passes through the points (4, 6) and
(-8, 9).

Answers

Answer:


-1/4 Abs(x+12) + 10

Step-by-step explanation:

The vertex form of an absolute function is of the form
y = a|x -h| + k   here |x-h| is the absolute value
where (h, k) are the coordinates (x, y) of the vertex

The vertex is given as (-12, 10)

So h = -12, k = 10

Plugging these in we get the vertex form as

y = a|x - (-12)| + 10

y = a|x + 12| + 10

All it remains is to find a

Given point (4, 6) as a point on the graph, plug these values
y = 6 = a|4 + 12| + 10

6 = a|16| + 10

6 = 16a + 10      since absolute value of a positive number is the number

Switch sides
16a + 10  = 6

Subtract 10 from both sides:
16a + 10 - 10 = 6 - 10
16a = -4
a = -1/4

So the equation of the function is
y = -1/4|x + 12| + 10

The second point is not needed to derive the function equation but let's use it to verify our calculated equation

Point (-8, 9)
Plug x = -8,  into y = -1/4|x + 12| + 10

=> y = -1/4|-8+12| + 10
=> y = -(1/4)·4 + 10

=> y = -1 + 10

= y = 9 which matches with the y -coordinate of the second point

So everything looks cool

Final Solution
-1/4 Abs(x+12) + 10

For  - 1/4 if it does not accept fractions, enter -0.25

I have also provided a screenshot which shows what should go into each box to help you out

Hope that helps and feel free to ask any clarifications



question in screenshot

Answers

The value of tan33° is 11/20.

What is a right triangle?

A triangle with an angle measure of 90° is called a right triangle.

Given that, tan(x) = (length of the opposite side)/ (length of an adjacent side)

Therefore, for the given triangle, it follows:

tan33° = 11/20

Hence, the value of tan33° is 11/20.

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Find the equation of the line.
a line that is perpendicular to the graph of y=-3x +2 and
contains the point (3,-3)

Answers

Answer: y = -3x + 6

Step-by-step explanation:

If it is perpendicular to the line -3x + 2, then it's slope should also be -3.

The standard form of a line is y = mx + b. As our slope is -3, we have that our line is y = -3x+b. Now, let's put the given point into the line. x = 3 and y = -3, so -3 = -3*3 + b. Hence, b = -3+9 = 6. The equation of the line is y = -3x + 6.


In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle.
a=229,b=244, and A = 37.8°

Answers

By the Law of Sines,

[tex]\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ =\frac{244\sin 37.8^{\circ}}{229} \\ \\ B \approx 37.42^{\circ}, 142.58^{\circ}[/tex]

Of these, only 37.42° is a possible value of B (sum of angles of a triangle is 180°).

So, we have that:

[tex] a=229, b=244, A=37.8^{\circ}, B=\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right)[/tex]

Angles of a triangle add to 180°, so:

[tex]C=180^{\circ}-A-B=142.2^{\circ}-\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right)

[/tex]

Using the Law of Sines again,

[tex]\frac{c}{\sin C}=\frac{a}{\sin A} \\ \\ c=\frac{a \sin C}{\sin A} \\ \\ =\frac{244\sin \left(142^{\circ}-\arcsin \left(\frac{244 \sin 37.8^{\circ}}{229} \right) \right)}{\sin 37.8^{\circ}}[/tex]

So, there is one possible triangle, where:

[tex]a=229 \\ \\ b=244 \\ \\ c=\frac{244\sin \left(142^{\circ}-\arcsin \left(\frac{244 \sin 37.8^{\circ}}{229} \right) \right)}{\sin 37.8^{\circ}} \\ \\ A=37.8^{\circ} \\ \\ B=\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right) \\ \\ C=142.2^{\circ}-\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right)[/tex]

A 3 lb (1.36 kg) bag of carrots cost $3.25, a 75 lb (ca. 34 kg) bag of carrots cost $4.75, which is the better deal?

Answers

Answer:

The second bag (4.75)

Step-by-step explanation:

-30 19/40 as a decimal

Answers

The conversion of the fraction -30 ¹⁹/₄₀ to decimal is expressed as; -30.475

How to convert fraction to Decimal?

Fractions usually have a numerator and denominator. Now, fractions can also be expressed as mixed fraction, improper fraction and proper fraction.

Now, we are given the fraction in mixed fraction. This is expressed as;

-30 ¹⁹/₄₀ = -30 - ¹⁹/₄₀

Now, the proper fraction part of the mixed fraction can be expressed as;

¹⁹/₄₀ = 0.475

Thus, our fraction is now;

-30 - 0.475 = -30.475

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Nara wants to determine how much ice it will take to fill her cooler . If the cooler has a length of 22 inches, a width of 12 inches, and a height of 1012 inches, how much ice will her cooler hold?

Answers

Answer:

267,168 inches

Step-by-step explanation:

If your box is a rectangular prism or a cube, the only information you need is the box's length, width, and height. You can then multiply them together to get volume. This formula is often abbreviated as V = l x w x h.

Volume = L × W × H

Where,

L means lengthW means widthH means height

Volume = 22 inches × 12 inches × 1012 inches

Volume = 267,168 inches

So, her cooler can hold 267,168 inches of ice

The temperature during a very cold day is recorded every 2 hours for 12 hours. The data are given in the table below. What type of polynomial would best model these data?

cubic
linear
quartic
quadratic

Answers

Answer: A. Cubic

Step-by-step explanation:

*PLEASE SOLVE!!!*
In late 1897, Amos Dolbear published an article called “The Cricket as a Thermometer." He had determined that the outside temperature (in Fahrenheit) shared a linear relationship with the number of times the snowy tree cricket would chirp per . If you count the number of cricket chirps per (while sitting inside your warm house), then you can find the temperature outside. In his research, Dolbear concluded that for every extra cricket chirp per second, the temperature was 1/4*F higher. Furthermore, he found that when the number of cricket chirps per minute was 120, the temperature outside was 70*F.

What are the quantities in this scenario?

What in the problem suggests or indicates that the relationship between the temperature and the number of chirps per minute should be linear?

If you graph the relationship, what will be the value of the slope of the graph?

What is the y-intercept?

Answers

Answer:

The equations is t = 1/4n + 40

The slope is 1/4 and the y-intercept is 40

t is the temperature.

n is the number of chirps per minute.

Step-by-step explanation:

Consider the function f(x) = 10(x2 â€"" 7x). what are the additive and multiplicative inverses? the additive inverse is g(x) = 10(x2 7x) and the multiplicative inverse is h(x) =startfraction 1 over 10 (x squared minus 7 x) endfraction. the additive inverse is g(x) = â€""10(x2 â€"" 7x) and the multiplicative inverse is h(x) =startfraction 1 over 10 (x squared minus 7 x) endfraction. the additive inverse is g(x) = 10(x2 7x) and the multiplicative inverse is h(x) =startfraction 1 over 10 endfraction (x squared minus 7 x) . the additive inverse is g(x) = â€""10(x2 â€"" 7x) and the multiplicative inverse is h(x) =startfraction 1 over 10 endfraction (x squared minus 7 x) .

Answers

The Additive inverse of f(x) is 70x – 10x² and the multiplicative inverse of f(x) is   [tex](x^{2} -7x)[/tex] x [tex](1/10)[/tex]

We have, f(x) = 10(x² – 7x).The additive inverse of a number is a value that on adding to the given number gives zero.The multiplicative inverse of a number is a number when multiplied by a given number gives 1.According to the question,We have,f(x) = 10( x² – 7x)Assume that the additive inverse of f(x) is g(x).Thereforef(x) + g(x) = 010x² - 70x + g(x) = 0g(x) = 70x - 10x²and,Let’s assume that the multiplicative inverse of f(x) is h(x).Thereforef(x) x h(x) = 110(x² – 7x) x h(x) = 1h(x) = [tex](x^{2} -7x)[/tex] x [tex](1/10)[/tex]Hence, the additive inverse of f(x) is g(x) = 70x - 10x² and the multiplicative inverse of f(x) is h(x) =  [tex](x^{2} -7x)[/tex] x [tex](1/10)[/tex]Solve more questions on Additive inverse and multiplicative inverse -https://brainly.com/question/17142610#SPJ4

A rectangular garden is 5 ft longer than it is wide. Its area is 300 ft2. What are its dimensions?​

Answers

Answer:

width=x

length=5x

area= 300ft2

area=lxb

300=5x(x)

300=5x^2

x^2=60

x=7.74

7.74(5)=38.7

dimensions are 38.7ft by 7.74 ft

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Step-by-step explanation:

the area of a rectangle is

length × width = 300 ft²

length = width + 5

(width + 5) × width = 300

width² + 5×width = 300

width² + 5×width - 300 = 0

the general solution to such a quadratic equation is

width = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 5

c = -300

width = (-5 ± sqrt(5² - 4×1×-300))/(2×1) =

= (-5 ± sqrt(25 + 1200))/2 =

= (-5 ± sqrt(1225))/2 = (-5 ± 35)/2

width1 = (-5 + 35)/2 = 30/2 = 15 ft

width2 = (-5 - 35)/2 = -40/2 = -20 ft

negative lengths for an actual object don't make sense, so width = 15 ft is our solution.

length = width + 5 = 15 + 5 = 20 ft

Write the equation of the line that passes through the points (-1,4)and (−1,0). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

well, the tell-tale part in the points will be the coordinates, hmmm now, the x-coordinate for both points is the same, well, that simply means is a vertical line.  Check the picture below.

Mr. Brown's class has 20 students. 6 of the students have blonde hair. What
percent of the students have blonde hair?

Answers

Answer:

30%

Step-by-step explanation:

6/20 = .3

.3 x 100 = 30

the answer is 30%
6/20=.3
.3x100=30

How do I do this question?
Round 673,432 to the place of the underlined digit , enter the rounded number in the box. The thousands place =3 is underlined.

Answers

Answer: 673, 43

Step-by-step explanation:

As the next digit coming after the underlined digit is 2, the rounded number becomes 673,43. If instead of 2 we had 5 or above, the number should have become 673,44.

Round 0.898 to the nearest hundred

Answers

Answer:

0.900.........

Step-by-step explanation:

thats it

0.898 rounded to nearest hundred will be 0.90 .

Given,

Number = 0.898

Here,

Now when we round numbers, anything greater than 5 gets rounded up, and anything less than 5 gets rounded down.

So 9 is greater than 5 thus the number will be rounded off to 0.90 .

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Question 1 of 10
The following graphs have no scales assigned to them. Which of them could
be density curves for a continuous random variable if they were provided with
the right scale?
Check all that apply.
B.
my
nh
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.

What is variable?

A symbol (often a letter) used in algebra to represent an unknowable numerical value in an equation. Variables can have a wide range of values, which is why they are called variables. Thus, a variable can be thought of as a quantity that can take on different values depending on the circumstances of a given issue. As the program executes, we may store, modify, and access this data thanks to variables. All types of information can be stored in variables.

Four graphs of different nature as options.

We are required to find a graph that is not a continuous variable.

What is continuity?

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Continuous lines are those lines that when decreased, decrease with continuity and when increased, increase with continuity.

Given that,

When we observe graph A, graph C. In these graphs, the value of the function keeps increasing and decreasing a lot and is not in continuity.

Hence, graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.

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0.01p + 0.05(22 – p) = 0.54
Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.

How many of each type of coin does Ari have?

pennies and
nickels

Answers

The number of pennies that Ari has is 14.

The number of nickels that Ari has is 8.

How many of each type of coin does Ari have?

The linear equations that represent this question are:

0.01p + 0.05n = $0.54 equation 1

p + n = 22 equation 2

Where:

p = number of pennies n = number of nickels

In order to determine the number of nickels, multiply equation 2 by 0.01

0.01p + 0.01n = 0.22 equation 3

Subtract equation 3 from equation 1:

0.04n = 0.32

Divide both sides by 0.04

n = 0.32 / 0.04

n = 8

Substitute for n in equation 2:

8 + p = 22

p = 22 - 8

p = 14

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Hi, can someone help me answer

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x)=log(x) to achieve the graph of g(x)=log(-3x+9)+4.

Answers

The transformation that takes place on the parent function ( f (x) = log (x) ) to achieve the graph of g(x)=log(-3x+9)+4  can be described as a reflection across the y-axis. Then you horizontally shrink a factor of three; shift three units to the right, and shift four units upwards.

The explanation is as follows:

Step 1: The parent graph is to be translated 3 units to the right side to achieve: y = log (x-3)

2. Shrink the graph by a factor of three by multiplying x by three:

⇒ y = log 3(x-3)

3. Reflect the function y = log 3(x-3) across line -3 = x to achieve:
y = -3(x-3)

4. Translate the function y = log 1-3(x-3) four units upwards to achieve

y = log (-3 + 9) +4

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Find the surface area of a cylinder with a height of 8 inches and base radius of 4 inches

Answers

The surface area of the cylinder is 118.76 square inches if the height is 8 inches and base radius is 4 inches.

What is a cylinder?

A cylinder is defined as a solid geometric figure with straight parallel sides and a circular or oval cross section.

What is Surface Area ?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Surface area  of the cylinder is calculated as  : - 2πr² + 2πrh

We have:

Height of the cylinder h = 8 inches

The radius r = 4 inches

π = 3.14

Surface Area  = 2(3.14)(4)² + 2(3.14)(4)(8)

surface Area = 2x 3.14 x 16 + 18.28

surface Area = 100.48 + 18.28

surface Area = 118.76 square inches

Therefore , the surface area of the cylinder is 118.76 square inches if the height is 8 inches and base radius is 4 inches.

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What number is composed of 6 ones,22 tenths,33 thousandths and 44 thousandths.

Answers

Answer:

8.277

Step-by-step explanation:

Pretty simple, just add up the values but convert the word form into decimals.

[tex]6+2.2+0.033+0.044=8.277[/tex]

Also, your question said 33 thousandths, so it is what I answered.

Answer:

8.277

Step-by-step explanation:

What is the measure of angle 1, angle 5, angle 2, angle 8, and angle 7? Angle 4 = 72 degrees.

Answers

The unknow angles are as follows:

m∠1 = 108 degreesm∠2 = 72 degreesm∠5 = 108 degrees.m∠7 = 108 degreesm∠8 = 72 degreesHow to find angles in parallel lines?

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.

Therefore,

m∠4 = 72 degrees

Hence,

m∠1 + m∠4 = 180 (angle on a straight line)

m∠1 = 180 - 72

m∠1 = 108 degrees

m∠2 = m∠4 (vertically opposite angles)

Vertical angles are the angles formed when two lines intersect each other. Vertical angles are congruent.

Therefore,

m∠2 = 72 degrees

m∠5 = m∠1 (corresponding angles)

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.

m∠5 = 108 degrees.

m∠7 = m∠5(vertically opposite angles)

m∠7 = 108 degrees

m∠8 = m∠2 (alternate exterior angles)

Alternate exterior angles are congruent.

m∠8 = 72 degrees

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Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the mean of the sample means?.

Answers

The mean of the sample means of the given data is 40

The provided sample size is 100, with a standard deviation 20and mean of the as 25.

Mean of the population, μ = 25

The standard deviation of the population, σ = 20.

Size of the sample, n = 100

Let X be the mean of the sample means,

The formula for the sample mean is

X = μ

where μ, as we know is the mean of the population

By substituting the value in the above equation, we get

X = 40

Therefore, we get the mean of the sample means is 40

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write 600 as the product of prime factors
Give your answer in index form

Answers

The value of 600 as the product of prime factors will be 2³ × 3 × 5².

What's prime number?

It should be noted that a prime number simply means the number that can be multiplied by itself and 1.

Therefore, it should be noted that 600 will be expressed thus:

600 = 2 × 2 × 2 × 3 × 5 × 5

600 = 2³ × 3 × 5².

Therefore, the value is 2³ × 3 × 5².

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Pls help asap for math

Answers

I believe it’s angle W

William works at a nearby electronics store. He makes a commission of 6\%6%6, percent on everything he sells. If he sells a computer for \$764.00$764.00dollar sign, 764, point, 00, how much money does William make in commission?
\$\

Answers

Based on the commission percentage that William makes when he sells goods at the electronics store, the amount that William made in commission from the computer is $ 45. 84.

How to find the money made from commission?

Commission made on goods and services are a percentage that is paid to sales people when they make a certain number of sales. The commission is based on the amount that the good or service in question is sold for.

The commission to William here can be found by the formula:

= Percentage made for commission on everything sold x Amount that the computer sold for

Solving for the commission to William gives:

= 6 % x 764

= 0. 06 x 764

= $ 45.84

In conclusion, the commission that William made from the sale of the computer which was valued at $ 764 is $ 45.84.

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Answer:

45. 84

Step-by-step explanation:

Based on the commission percentage that William makes when he sells goods at the electronics store, the amount that William made in commission from the computer is $ 45. 84.How to find the money made from commission?Commission made on goods and services are a percentage that is paid to sales people when they make a certain number of sales. The commission is based on the amount that the good or service in question is sold for. The commission to William here can be found by the formula:= Percentage made for commission on everything sold x Amount that the computer sold for Solving for the commission to William gives:= 6 % x 764 = 0. 06 x 764= $ 45.84

17% of 56
…………………………….

Answers

Answer: 9.52

Step-by-step explanation: I looked it up but you would do 17 divided by 56 and get a decimal and then move the decimal point over 2 spaces to the right and then you have your answer.

Hope it helped

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Try to represent this phenomenon as a chain of causes and effects in a labeled diagram inthe space below:1. Pressure sensors in your shoulder are deformed for an extended amount of time.2. These send signals to neurons that are attached under the skin.3. These neurons relay signals through axons to other neurons until the signal reachesyour brain.4. You decide you should rollover.5. Your brain sends a signal to motor neurons that relay it to other motor neuronsthrough axons until the signal reaches your leg muscles.6.The cells that make up the muscle tissue in your leg muscles contract in response tothe signal they receive.7. This leads to your legs moving, which is what pushes your body around so that youroll over.systemsed dots What is the equivalent fraction? Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5. A. 24 = 10.5 + 4.5m; m = 60.75 B. 24 = 10.5 + 4.5m; m = 3C. 24 equals 10.5 plus m over 4.5; m = 3D. 24 equals 10.5 plus m over 4.5; m = 60.75 The table of paired values represents a proportional relationship. x 1 3 6 7y 4 y 24 28What is the missing y-value in the table?Responses8812121616I don't know.I don't know. Find real x and y such that:(x+yi)^2=x-yiNEED HELP NOW PLEASE Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile. Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway? The school mary goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 7 senior citizen tickets and 6 students tickets of $69. The school took in $53 on the second day by selling 7 senior citizen tickets and 4 student tickets. find the price of one senior citizen ticket an the price of one child ticket describe Garfield 's body language what do we call the outer layer of the nucleus what is the definition of intelligence and how to measure it cost for babysitting services True or False: Newspaper articles always are primary sources.A. TrueB. False he profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the days supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?y=48x2y=48x+2y=2x48y=2x+48 AB is parallel to DE..COAlicia noticed that:ZwLxLy La.B.AwIFEDNote: Alicia used the following theorems:When a transversal crosses parallel lines, alternate interior angles are congruent.Vertical angles are congruentChoose 1 answer A.Angles that form a linear pair are complementaryB. when a transversal crosses parallel lines same side interior angles are congruentC. when a transversal crosses parallel lines alternate exterior angles are supplementaryD. when a transversal crosses parallel lines corresponding angles are congruent to. HelpSimplify the negative exponent. Please show your work.4 a roller coaster car rapidly picks up speed as it rolls down a slope. as it starts doown the slope. its speed is 4 m/s. but 3 secondes later ,at the bottom of the slope. its speed is 22 m/s what is the avrege acceleration? officials want to collect a dna sample from a suspect, and to this end gather blood, saliva, hair, and fingernail clippings (all from this individual). dna from which of these materials will demonstrate the same sequence of nucleotides? OF THE STUDENTS IN KAREN'S CLASS, 4/5 OF THEM OWN A BIRD. OF THE STUDENTS WHO OWN A BIRD, 1/2 ALSO OWN A HAMSTER. WHAT FRACTION OF THE STUDENTS IN KAREN'S CLASS OWN A BIRD AND A HAMSTER? All of us must make decisions based on opportunity costs every day. What are five decisions based on opportunity costs that you commonly make? Explain and discuss. Heights of 10-year old's, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches.(a). The height requirement for Batman the Ride is 54 inches. What percent of 10 year old's cannot go on this ride?(b). Suppose there are four ten year olds. What is the chance that at least two of them will be able to ride Batman the Ride?(c). Suppose you work at the park to help them better understand their customers demoghraphics, and you are counting people as they enter the park. What is the chance that the first 10 year old you see who can ride Batman the Ride is the 3rd 10 year old who enters the park?(d). What is the chance that the 5th 10 year old you see who can ride Batman the Ride is the 12th 10 year old who enters the park?