Given: ABCD is a parallelogram.

Prove: ∠A and ∠D are supplementary.

Parallelogram A B C D is shown.

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Answers

Answer 1

Answer:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are  

✔ same-side interior

angles.  Because AB and DC are  

✔ parallel

, the same-side interior angles must be  

✔ supplementary

by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Step-by-step explanation:

Answer 2

Answer:

The answer above is correct!

The correct options are:

First box: option D. same-side interior

Second box: option C. parallel

Third box: option D. supplementary

Step-by-step explanation:

Hope this helped - just got it right on edge!

Brainliest would be greatly appreciated :)


Related Questions

The width of a rectangle is (2x – 7)inches and its width is (x^2 – 5) inches. Find an expression for the perimeter of the rectangle.
a. 2x^3 + 35
b. x^2 - 2x + 2
c. x^2 + 2x – 12
d. 2x^2 + 4x – 24

Answers

Answer:

(2x²+4x-24) in.

Step-by-step explanation:

.

the answer is D you’re welcome

What term is used for a bell-shaped curve that is symmetrical regarding the average value of the population (the data being analyzed)?

Answers

Answer:

Normal distribution

Step-by-step explanation:

The answer is "normal distribution". This is because in a normal distribution, the mean, median and mode are equal. What this means is that the distribution will be symmetrical with a bell curve unlike in positive or negative skew where it is skewed to either the left or right.

Record the length of these
segments
PC =
PC' =
units
units

Answers

There's all the lengths so you don't have to search them all up

the ratio of 10:25 in its simplest form?

Answers

Answer:

2:5

Step-by-step explanation:

10:25 = 10/25 = 2/5 = 2:5

Answer:

2:5

Step-by-step explanation:

divide both of them by 5

10 divided by 5 is 2

25 divided by 5 is 5

Please help me with this problem

Answers

Answer:

6a = 6 * a

2a * b = 2ab

Step-by-step explanation:

2a * 2b = 4ab not 2ab

6 * a is the same as 6a

5a = 5 * a not 5 + a

3ab has different variables then 3c therefore the expression cannot be true

2ab is the same as 2a * b

Adrian is putting streamers across the ceiling of his dining room to decorate for his nephew’s birthday party. The ceiling is rectangular. Its area is 122.5 square feet, and its width is 7 feet. How long should Adrian cut a streamer that will run the length of the ceiling?

Answers

Answer: hello there here is your answer:

17.5 feet

Step-by-step explanation:

Area of rectangle = Length x Width  

Length = Area/Width = 122.5 / 7 = 17.5 feet

hope this helps

have a god day bye

A = w * L
L = A / W

L = 17.5

Determine the measure of ZA.

45.6°
57.7°
55.2°
32.3°

Answers

Step-by-step explanation:

Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)

= 200+625-1156 ÷ (2000)

= 1069 ÷2000

Cos A = 0.5345

A= cos inverse 0.5345

A = 57.7

Answer:

57.7

Step-by-step explanation:

took the test

Rewrite the following polynomial in standard form.

9x + 1 - x^2

Answers

Answer:

x²-9x-1

Step-by-step explanation:

move the -x² in front and get -x²+9x+1

then multiply the whole equation by -1 and get x²-9x-1

I THINK OKAY PLEASE DONE BE MAD

A mixture contains nothing biet water and are tone in a ratio of stof 1.2. After 2oom of water is added to the mixture, the ratio of water to acetone He is 2:3. The original volume of the mixture is​

Answers

Answer:

Step-by-step explanation:

What is the distance between
(

5
,

5
)
(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and
(

9
,

2
)
(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?

Answers

Answer:

do you have a pic of the problem

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the answer is the sqare rute of 25 which is 5

HI I really need help with this its in the picture

Answers

Answer:  24a^4 + 36a^3 + 12a^2

Explanation:

The blue rectangle has area of 4a^2*6a^2 = 24a^4

The red rectangle has area 4a^2*9a = 36a^3

The green rectangle has area 4a^2*3 = 12a^2

The total area is 24a^4 + 36a^3 + 12a^2

What is the nth term rule of the quadratic sequence below?
8,14,22,32 ,44, 58, 74...

Answers

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

You're working as a floor rep in the local home improvement store. The store wants to increase its inventory. Last year, 40 lawn mowers cost $4,776. At the same cost, how much will 120 lawn mowers cost this year?

Answers


To set up this problem first you'll need to find out the price of one lawn mower.
Divide the amount if lawn mowers bought last year with the cost to get the cost of one lawn mower
Take the number you get and multiply that bu the amount of lawn mowers this year (120)

answer: $14,328

If an object looks the same

Answers

Answer:

I don't understand your question.............!

Step-by-step explanation:

Write the equation of the line from the graph
(show your work pls)

Answers

it is just y=-4 since the line is horizontal

Please help with this!!! 8 points!!!

Answers

Answer:

d

Step-by-step explanation:

Someone please help?

Answers

A

Step-by-step explanation:

because it's the only possible one

Answer:

A.) 10

Step-by-step explanation:

So the relationship here seems to be going by two. Every time the x-value decreases from -2 to +7, the y-value is decreasing by 2. Since you're looking for when x=0, the only number that could possibly do that is when y=10. Before x=1, the y-value can increase by two so it would go from 8 to 10 since we know the relationship for the y-values is 2. Therefore your answer should be A.) 10

Hope this helps!

Create an entertaining presentation of your choice that will help students
remember how to add and subtract integers.

Answers

Answer:

maybe you can give them a simple example.

use what they are interested for.

for example if he or she love playing basketball.

you can draw three white ball, if other give you two ball, you can draw two balls. instead, if other want to borrow four balls from you, then you can draw four balls to black and count the left balls.

hope it can help you!!

Step-by-step explanation:

do linear relationships have a constant rate of change ​

Answers

Answer:

Yes my son they do so yeah

Step-by-step explanation:

Cuz I know

The number line shows the car's starting point and the ending point.
Find the distance between them.

Answers

Answer:

-12/7

Step-by-step explanation:

[tex] \frac{ - 5}{7} - \frac{7}{7} [/tex]

[tex] \frac{ - 5 - 7}{7} [/tex]

[tex] \frac{ - 12}{7} [/tex]

Third option is the answer.

álgebra 1 solve -2 + 11(17y + 15)

Answers

Answer:   187y + 163

Work Shown:

-2 + 11(17y + 15)

-2 + 11(17y) + 11(15) .... distributive property

-2 + 187y + 165

187y + (-2+165)

187y + 163

Write a compound interest function to model the following situation. Then, find the balance after the
given number of years.
$13,700 invested at a rate of 2% compounded quarterly; 6 years

Answers

Answer:

The balance after the 6 years of investment will be $ 15,442.08.

Step-by-step explanation:

Given that $ 13,700 was invested at a rate of 2% compounded quarterly during 6 years, to determine the final result of the investment, the following calculation must be performed:

13,700 x (1 + 0.02 / 4) ^ 4x6 = X

13,700 x (1 + 0.005) ^ 24 = X

13,700 x 1,005 ^ 24 = X

13,700 x 1.1271 = X

15,442.08 = X

Therefore, the balance after the 6 years of investment will be $ 15,442.08.

Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers !! PLEASE HELP ME

Answers

Answer:

Below.

Step-by-step explanation:

Ok so since 71 +25 = 96. A line segment is 180 so 180-96= 84. Hope this is right little hard to see.

A rectangular prism and a pyramid have congruent bases and equal altitudes.Wha is the retio between the volume of the pyramid to the volume of the rectangular prism.What is the answer

Answers

Answer:

The required ratio is 1 : 3.

Step-by-step explanation:

Let the length is L, width is W and the height is H.

Volume of the prism is

V = LW H

Volume of the pyramid

V' = 1/3 L W H

Ratio of volume of pyramid to the prism is

[tex]\frac{V'}{V} = \frac{1}{3}[/tex]

Someone please help me with this math problem?

Answers

9514 1404 393

Answer:

distributive propertycombine like termssubtraction (or addition) property of equalityaddition property of equalitydivision property of equality

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units

Answers

Answer:

223.6 square units. or 223.569 square units

Answer:A

Step-by-step explanation:I took the test

find the missing information​

Answers

Answer:

?=83 degrees

Step-by-step explanation:

74+120=194

360-194=166

166÷2=83

You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.

Nas funções f(x) = -3x+9; f(x) = 2x-4 e f(x) = 5x-5, caso construamos seus respectivos gráficos, informe respectivamente os pares ordenados correspondentes aos zeros da função, ou seja, os pares ordenados que indicam onde os gráficos interceptam a abscissa (eixo "X") e a ordenada (eixo y ou f(x)) de cada uma das três funções.Leitura Avançada

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

{(3,0) e (0,9)}; {(2,0) e (0,4)}; {(1,0) e (0,5)}

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,5)}

{(3,0) e (0,-9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

Answers

1st option

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

see screenshot

sorry btw, no hablo espanol

A triangle is rotated 90 about the origin.Which rule describes the transformation?

Answers

Answer:

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. ... Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure.

Answer:

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise? Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure

Question 2 of 10
If f(x) x/2-3 and g(x) = 4x^2 + x - 4, find (f + g)(x).
A. 4x+3x-7
B. 4x2+x-1
C. 66²-7
D. 4x + x-

Answers

Answer:

B

Step-by-step explanation:

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