NEED help asap!!help me

Answer:

the length of the

rectangle when the width is 4 feet is 8

The two column proof showing that AB ≅ CD and AD ≅ BC are congruent by CPCTC is as detailed below.

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

The two column proof that shows AB ≅ CD and AD ≅ BC is as follows;

Statement 1; Parallelogram ABCD with diagonal AC

Reason 1: Given

Statement 2; AB ║ CD and AD ║ BC

Reason 2; Definition of Parallelogram

Statement 3; ∠1 ≅ ∠2 and ∠3 ≅ ∠4

Reason 3; Definition of angle bisector

Statement 4; AC ≅ AC

Reason 4; Reflexive Property of congruence

Statement 5; ΔABC ≅ ΔCDA

Reason 5; ASA Congruency postulate

Statement 6; AB ≅ CD and AD ≅ BC

Reason 6; CPCTC

Read more about Two column proof at; https://brainly.com/question/1788884

#SPJ1

Answer:

50

Step-by-step explanation:

ezpz

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{55}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{55}-\stackrel{y1}{(-11)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-3)}}} \implies \cfrac{55 +11}{8 +3} \implies \cfrac{ 66 }{ 11 } \implies 6[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 6}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 6 ( x +3) \\\\\\ y+11=6x+18\implies {\Large \begin{array}{llll} y=6x+7 \end{array}}[/tex]

Answer:

see explanation

Step-by-step explanation:

vertical angles are congruent , then

2x - 3 = x + 16 ( subtract x from both sides )

x - 3 = 16 ( add 3 to both sides )

x = 19

Then

x + 16 = 19 + 16 = 35°

since the angles are congruent , then

the measure of each angle is 35°

The function's range is in the interval (1, ∞).

Members of a set can congregate in mathematics.

These sets' constituents are referred to as elements. The correspondence between the two groups is known as a relation when the elements of each group are paired up together.

So, between two sets, a relation is a collection of ordered pairs of elements.

The term "function" refers to a particular type of relation where each element in the first group, referred to as the domain, corresponds to exactly one element in the second group, referred to as the range.

The elements in the domain couple with exactly one element in the range, and this is how a function is a pairing between two sets.

According to our question-

[7, ] is the interval notation.

The function's range falls between the numbers (1, ).

provided function

Determine the function's domain:

You do not want to use a counterargument to the square root in this situation (you cannot find the solution of a negative square root, at least as a real number).

What you actually do is "impose" that the argument always ends in a yes or a no (you know the square root of a positive number or zero).

You then solve for x to determine the variable's ALLOWED values by setting the argument greater than or equal to zero:

Consequently, the function is in the domain.

Find the function's range:

The set of all y values in the function's range is when,

range of the function is in the interval  (1, ∞).

learn more about function's range click here:

https://brainly.com/question/28801359

#SPJ4

Answer: first 7,1 second 7, -1

Step-by-step explanation: edge 2023

Answer:

x=

[tex]3 \sqrt{3} [/tex]

Step-by-step explanation:

because tan30⁰=

[tex] \frac{ \sqrt{3} }{3 } \\ \[/tex]

3/x=root 3 over3

[tex]3 \sqrt{3} [/tex]

In the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."

A polygon is a closed polygonal chain made up of a finite number of straight-line segments and is a type of planar figure in geometry.

A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.

A polygonal circuit's segments are referred to as its edges or sides.

So, provided that polygons ABCD and KLMN are identical, the correct condition can be "while the lengths of the corresponding sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."

Therefore, in the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."

Know more about polygons here:

https://brainly.com/question/1592456

#SPJ4

Complete question:
Which of these conditions might be true if polygons ABCD and KLMN are similar?

A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN.

B. The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.

C. The lengths of the corresponding sides of ABCD and KLMN are equal, but the measures of corresponding angles of ABCD and KLMN are not equal.

D. The lengths of the corresponding sides of ABCD and KLMN are proportional, but the measures of corresponding angles of ABCD and KLMN are not equal.

E. The measures of corresponding angles of ABCD and KLMN are not proportional, but the lengths of corresponding sides of ABCD and KLMN are proportional.

Answer:

Each egg costs $0.60

Each piece of toast costs $0.30

Step-by-step explanation:

Let's assume that the cost of a single egg is E

And the price of a toast as T

Kendra charges $1.50 for one toast and two eggs

The equation above will be

2E + T = $1.50

And the other equation is

E + T = $0.90

For the second equation, we make E the subject of the formula

E = 0.90 - T

Now substitute for this in equation 1

2E + T = 1.50

It will now be 2(0.90 - T) + T = 1.50

1.80 - 2T + T = 1.50

T= $0.30

price of one toast is $0.30

And now, for the price of an egg, we substitute T = 0.30 in the equation

E= $0.60

We can add and subtract 4.5 in the left side to complete squares, then we can rewrite the quadratic equation as:

(x + 13)^2 = 4.5

Here we want to rewrite the quadratic equation:

x^2 + 26x + 164.5 = 0

To rewrite it in the desired way, we need to complete squares, remember that the perfect square trinomial is:

(a + b) = a^2 + 2ab + b^2

We can rewrite the given quadratic as:

x^2 + 26x + 164.5 = 0

x^2 + 2*13*x + 164.5 = 0

The missing term to complete squares is 13^2 = 169, so we can add and subtract 4.5 on the left side of that eqation to get:

x^2 + 2*13*x + 164.5 + 4.5 - 4.5 = 0

x^2 + 2*13*x + 169 - 4.5 = 0

(x + 13)^2 = 4.5

That is the equation we wanted to get.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The better option is to buy the Granola bar.

What is a unit value?

When the expenditures or value of production of an item is divided by the quantity, the result is known as a unit value. The unit value of a set of homogeneous products is the total value of the purchases/sales divided by the sum of the quantities.

To determine which is the better buy, you need to compare the price per granola bar for each option. To do this, you can divide the price of each pack by the number of granola bars it contains.

For the first pack of 100 granola bars, the price per granola bar is $8.67 / 100 granola bars = $0.09 per granola bar.

For the second pack of 50 granola bars, the price per granola bar is $5.48 / 50 granola bars = $0.11 per granola bar.

Since the price per granola bar is lower for the first pack, it is the better buy. You would save money by purchasing the first pack of 100 granola bars instead of the second pack of 50 granola bars.

Hence, the better option is to buy the Granola bar.

To learn more about unit values, visit:

https://brainly.com/question/9834948

#SPJ1

the equation of the function is y=-2x+10

In linear equation,3 whole pizzas should they order .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

total people = 4

Each person always eats 3/4 of a cheese pizza.

   3/4 + 3/4 + 3/4 + 3/4  

= 3 + 3 + 3 + 3 /4

= 12/4

= 3

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

If a rubber ball is dropped from a height of 10 feet, The height of the 5th bounce and the population in 12 years

Generally, For the first problem, the height of the 5th bounce can be calculated by plugging in 5 for x in the function

f(x) = 20 (0.6)^x:

f(5) = 20 (0.6)^5

= 20 (0.12)

= 2.4 feet

For the second problem, the population in 12 years can be calculated by plugging in 12 for x in the function f(x) = 1000 (1.04)^x:

f(12) = 1000 (1.04)^12

= 1000 (1.70)

= 1700 pigs

Read more about the population

https://brainly.com/question/27991860

#SPJ1

Using the interest rate formula, we know that the simple interest rate on the loan is 5.75%.

Simple interest is calculated by multiplying the principal by the time, interest rate, and time period.

"Simple Interest = Principal x Interest Rate x Time" is the written formula.

The simplest method for computing interest.

So, the interest rate on the loan is:

Formula to be used: I = p*r*t

Where I am the interest, p is the principal amount, r stand for rates and t stands for time.

I = p*r*t

3450 = 3000*2*r

3450/6000 = r

r = 0.575%

That is a 5.75% interest rate

Therefore, using the interest rate formula, we know that the simple interest rate on the loan is of 5.75%.

Know more about simple interest rates here:

https://brainly.com/question/25793394

#SPJ4

The equation is equivalent to the r = d/t.

There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

We have to find which equation is equivalent to the formula d = rt.

Formula given: d = rt

Divide both sides by t

d/t = rt / t

d/t = r

Thus, the equation is equivalent to the r = d/t.

To learn more about equations, visit brainly.com/question/29657992

#SPJ4

Answer:  -130.

Step-by-step explanation: To round −74.41 to the nearest whole number, we look at the tens place, which is the digit 4 in the number −74.41. Since 4 is less than 5, we round down to the previous whole number, which is −74.

To round 55.816 to the nearest whole number, we look at the tens place, which is the digit 8 in the number 55.816. Since 8 is greater than or equal to 5, we round up to the next whole number, which is 56.

Now that we have rounded both numbers to the nearest whole number, we can easily subtract them to get an approximate answer:

-74 - 56 = -130

Therefore, an approximate solution to −74.41- 55.816 is -130.

Answer:

The regualar hippo massed 4.45 times as much as the pygmy hippo. (Not sure what I should round to)

Step-by-step explanation:

First, convert each of the fractions to a whole number. To do this get the whole number to the left of the fraction multiply it by the denominator and add the numerator. Once you have found both masses. Get the mass of the regular hippo and divide by the pygmy hippos mass.

Reguar Hippo Mass Calcualtion:

24*2=48

48+1=49kg

Pygmy Hippo Mass Calcualtion:

5*2=10

10+1-11kg

Final Calcuation:

49/11=4.45kg

Answer: 4.45 times as much

Let me know if this helped!

Answer:

Designate the remaining pair of coordinates as "set 2." Using the previous coordinates (3, 4) and (1, 2), the coordinate pair (1, 2) becomes "set 2" and will be your x2 and y2 values in the formula. Therefore, x1 is 3, y1 is 4, x2 is 1 and y2 is 2. Now that you have your values, you can plug them into the formula.

Answer:

0.7

Step-by-step explanation:

Answer: i think the next number should be 26

Step-by-step explanation:

The new cost per pen based on the information is $6.650.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

In this case, the pens are sold in a pack of 10 for 95 krona and the price is reduced by 30%, the new price will be:

= 95 - (30% × 95).

= 95 - 28.5

= $66.50

The new cost for every pen will be:

= $66.50 / 10

= $6.650

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

A is the answer

Domain is all x-values and Range is y-values.

Hope this helps!!:)

The possible values of k are -0.56, -3.56, -2 and -1.

We have the equation of the parabola, y = 0.5 (x- 3 ) ( x+ k)

Substituting x=0, we get that i.e. y =0.5 * (-3) * k -1.5k

So, the y-intercept is (0,-1.5k).

Thus, the height of the triangle becomes |-1.5k| = 1.5k

Again, substituting y=0, 0 = 0.5 (x-3) (x+k) i.e. i.e. x0=(x-3) (x+k)=3 and x=-k

So, the x-intercepts are (3,0) and (-k,0).

Thus, the base of the triangle is 3+k if k>-3 or -3-k if k<-3.

As, area of a triangle = 1/2 * (base )* (height )

Substituting the values, we get,

1.5=1/2 *(3+k)*(1.5k)

i.e.3= 4.5 k + 1.5k ²

i.e. k = -0.56 and k = -3.56

or

1.5=1/2* (-3-k )*(1.5k)

i.e.

3 = -4.5 k - 1.5²

i.e. k = -2 and k = -1.

Thus, the possible values of k are -0.56, -3.56, -2 and -1.

To learn more about parabola refer

https://brainly.com/question/11968907

#SPJ1

Answer:

D. 50

Step-by-step explanation:

number to 49.13

Answer:

A

Step-by-step explanation:

The number of negative and positive factors needed to guarantee a negative product with four factors with factors is 10 and there is a pastern

You should understand that the factors of a number is a number which can divide a number without a reminder

The factors must have a constant difference

Taking 1 as a factor for instance

1+5=5

Taking the number 20 for instance

The factors of 20 are

20=1,2,4,5,10,20

-1*20=-20

.1*-20=-20

-2*10=-20 and 2*-10=20

-4*5=-20 and 4*-5=20

The order is that the subsequent terms must be gotten by a difference of 1 and a divisor of 5

Therefore the number of factors is gotten by allocating by after the other a negative sign to the numbers

Learn more about factors of numbers on https://brainly.com/question/29155845

#SPJ1

well, both telephones cost 48.67 * 2 = 97.34, now let's get the tax and add it to it

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.11\% of 97.34}}{\left( \cfrac{7.11}{100} \right)97.34} ~~ \approx ~~ 6.92~\hfill \underset{total~price}{\stackrel{97.34~~ + ~~6.92}{\approx \text{\LARGE 104.26}}}[/tex]

To answer this question, simply plug in the values that represent the variables into the respective equations.

If z=5 and y =3, then 12z - 3y can be written as:

(12 × 5) - (3 × 3)

(60) - (9)

= 51

If z = 5, then the expression 4z -z can be written as:

(4 × 5) - 5

20-5

= 15

51 and 15 are your answers

Answer:

132

Step-by-step explanation: Supplementary=180 So all you have to do is subtract 48 from 180 and should give you 132.

Hope that helps!

$22500 is interest rate of common tock for each year.

What is an explanation of the interest rate?

An interest rate informs you of how much borrowing will cost you and how much saving will pay off.

                      Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.

Amount distributed as dividends = $15000

                 Total Preferred dividend to be paid  = $37500

       But Total Preferred dividend paid/avaiable = $15000

                              dividend per share(P.S)   = $0.60    **(15000 / 25000shares)

    Since the preferred stock cumulative dividend to be paid in Next year due to less payment in current year would be = $22500  or $0.90 per share        

                                      Remaining dividend  = 0

                       Equity dividend per share  = 0

Learn more about interest rate.

brainly.com/question/13324776

#SPJ4