In parallelogram PQRS, PQ =4x+28, QR=x+31, RS = 10X+4. Which of the
following is the length of RS ? Hint: draw a picture.*
0 1
44
32
4

Answers

Answer 1

Answer:

44

Step-by-step explanation:

1) we know that opposite sides of a parallelogram are congruent so

4x+28=10x+4

2) subtract 4 on both sides

4x+24=10x

3)subtract 4x on both sides

24=6x

4)divide by 6 on both sides

4=x

5)substitute for x

length of RS =10(4)+4

length of RD=44

Answer 2

The length of the side RS of the parallelogram PQRS is 44.

Given,

Side PQSide QRSide RS

As we know in a parallelogram, the opposite sides are parallel and equal. So, in this case, side PQ is equal to side RS.

Computation:

[tex]\begin{aligned}\text{Side RS}&=\text{Side PQ}\\10\text{X}+4&=4\text{X}+28\\10\text{X}-4\text{X}&=28-4\\6\text{X}&=24\\\text{X}&=4\end{aligned}[/tex]

When the value of X is determined to be 4.

By using the substitution method the value of X will be used in the side RS to determine the length of RS.

[tex]\begin{aligned}\text{RS}&=10\text{X}+4\\&=(10\times4)+4\\&=40+4\\&=44\end{aligned}[/tex]

Therefore, the length of RS is 44.

To know more about parallelogram, refer to the link:

https://brainly.com/question/1563728


Related Questions

You roll a 6-sided die. What is the P(roll a 2)?

a
3/6
b
1/6
c
2/6
d
4/6

Answers

Answer:

b; 1/6

Step-by-step explanation:

Nathan is saving up to buy a new phone. He already has $90 and can save an additional $10 per week using money from his after school job. How much total money would Nathan have after 4 weeks of saving? Also, write an expression that represents the amount of money Nathan would have saved in w weeks.

Answers

Answer:

$130

Step-by-step explanation:

If Nathan already has $90 then you would add the amount of money collected after the 4 weeks. In each week he makes $10.

The equation would be $90+($10x4)= $X

14.6 is the geometric mean between a and 9. Find a to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

5 divided by what gets you 0.60

Answers

Answer:

Step-by-step explanation:

12

12, pls mark as brainliest!!!!

Can someone help please

Answers

Answer:

x ≈ 7.7

Step-by-step explanation:

Using Pythagoras' identity on the right triangle on the right side

let the third side be y , then

y² + 4² = 10²

y² + 16 = 100 ( subtract 16 from both sides )

y² = 84

Using Pythagoras' identity on the right triangle on the left side

x² + 5² = y²

x² + 25 = 84 ( subtract 25 from both sides )

x² = 59 ( take the square root of both sides )

x = [tex]\sqrt{59}[/tex] ≈ 7.7 ( to the nearest tenth )

find the mean of the data in the pictograph

Answers

Answer:

16 is the mean

Step-by-step explanation:

I gave you the answer, no problem..

8 times a certain number is added to 5 times a second number to give 184.the first number minus the second number is -3.find these number .​

Answers

Answer:

The numbers are 13 , 16

Step-by-step explanation:

First number be x

Second number be y

x - y = -3 --------------------(I)

x = -3 +y

8x + 5y = 184  ---------------(II)

substitute x = -3 + y in equation(I)

8*(-3 + y) + 5y = 184

-24 + 8y + 5y = 184

-24 + 13y = 184

         13y = 184 + 24

         13y = 208

            y = 208/13

y = 16

Plugin y = 16 in (I)

x - 16 = -3

      x = -3 +16

    x = 13

You feed your pet 1/4 cup of food each morning.
You do this for 5 days. How much total food have
you fed your pet after 5 days?

Answers

Answer:

1 1/4 cups

Step-by-step explanation:

you feed your dog 1/4 cups of food each day. You do this for five days. So we can set up an equation 5*1/4 = 1 1/4 cups.

1/5 = .25
.25*5= 1.25
1.25; 1 1/4

1 cup and 1/4ths of food

Anyone know the right answer?!

Answers

Answer:

420000 here is the answer

Step-by-step explanation:

28000 multipli 15

30pts! im currently in the middle of taking the test :(
Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses 6 plus 3 i . (6 points)

√-16

________

(1+i)+(6+3i)

Answers

Answer:

16 /65  +  28 i /65

Step-by-step explanation:

Answer:

16+28i over 65

Step-by-step explanation:

toot the test

Becca is painting a birdhouse (rectangular prism) that has a height of 13cm, a width of 5 cm, and a length of 8cm. How much paint will she need if she only uses 1 coat? 26 sq. cm 0418 sq. cm 0 208 sq. cm​

Answers

Answer:coo

Step-by-step explanation:Cooke.

The amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

What is surface area?

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The surface area of rectangular prism can be given as,

[tex]SA=2(wl+hl+hw)[/tex]

Here, (w) is the width, (h) is the height and (l) is the length of the prism.

Becca is painting a birdhouse. The shape of the birdhouse is similar to rectangular prism with dimensions as, height of 13cm, a width of 5 cm, and a length of 8cm.

Now Becca wants to paint this house using 1 coat. As this paint has to be cover each surface of the house. Thus the amount of total paint should be equal to the surface area of the house.

Here, the dimensions of house is as, height of 13cm, a width of 5 cm, and a length of 8cm. Therefore the surface area of it is,

[tex]SA=2(5\times8+13\times8+13\times5)\\SA=418\rm cm^2[/tex]

Hence, the amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Learn more about the surface area here:

https://brainly.com/question/20771646

find the value of x and please show how

Answers

Answer:

x = 12°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

So,

39° + 53° + 4° + 7x = 180°

Add all the numbers on the left up.

96° + 7x = 180°

Subtract 96 from both sides.

7x = 84°

x = 12°

Hope this helps!

Answer: x= 12

Step-by-step explanation:

Triangle angle sum theorem says that the interior angles of a triangle sum to 180 degrees. Set the sum of all of these angles equal to 180 to solve. 39+53+ (4+7x) = 180. Combine like terms. 96 +7x = 180. Subtract 96 from both sides. 7x = 84. Divide both sides by 7. X = 12

Find the slope plllls I need help

Answers

Answer: 5 over 5

Step-by-step explanation:

Answer:

the slope is 5/4

A muffin recipe requires 1 teaspoon of
lemon zest. Maylene is going to make 11
of the recipe. How many teaspoons of
lemon zest will Maylene need?

Answers

Answer:

11

Step-by-step explanation:

11x1=11

What is the image point of (1, 4) after a translation left 5 units and down 3 units?

Answers

Answer:

(-4,1)

Step-by-step explanation:

for x you do:

1 - 5 = -4

for y you do:

4 - 3 = 1

so it is (-4,1)

All the seats in the theater are divided into 6 groups. There are 35 seats in each group. Using the variable s, write and solve a division equation to find how many seats there are in the theater.

HELP!

Answers

The answers should be 210

A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?

Answers

Answer:A. h(t) = -16(t - 403)^2 + 3

B. h(t) = -16(t - 5)^2 + 3

C. h(t) = -16(t - 3)^2 + 403

D. h(t) = -16(t - 5)^2 + 403

Step-by-step explanation:

Taya is on the track team. For practice, she runs 2.5 miles each day. At the
end of 14 days, how many total miles will Taya run?

Answers

Answer:

35 miles

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

2.5 x 14

You see a silk shirt for $95 there is a 25% discount what is the discount

Answers

Answer:

71.25

Step-by-step explanation:

Answer:

I don't know sorry

maybe try looking it up

I really don't know I'm so sorry

Step-by-step explanation:

Find the value of 2.8 + 6.5

Answers

Answer:

Step-by-step explanation:

2.8 + 6.5 = 9.3

Answer:

9.3

Step-by-step explanation:

2.8+6.5=9.3

You'd use addition to solve this

PLEASE HELP! IM ALMOST DONE WITH THIS ASSIGNMENT PLSSS HELPP ILL GIVE BRAINLIEST SHOW UR WORK


question: solve the solution using substitution.

Answers

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

Answer:

(-3,-8)

Step-by-step explanation:

Get one of the variables by themself.

3x = y-1

y = 3x+1

Plug that equation into the other one

2(3x+1) = x-13

Distribute the 2 to 3x+1

6x+2 = x-13

Combine like terms

6x+2 = x-13

-x       -x

5x+2 = x-13

    -2        -2

5x = -15

Divide by 5 on both sides

5x = -15

÷5   ÷5

x = -3

Find y

3(-3) = y-1

-9 = y-1

+1       +1

y = -8

Please help it's due in 1 hr and I don't understand;-;

Answers

Answer:

1. x=6 y=7

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Answers

Answer:

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Step-by-step explanation:

In Game 2, your score started at 2 and doubled every time. Two expressions below represent your score after 12 hits.

Answers

Answer:

B and D on edg

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

This could be the wrong way of writing it but thats the pattern ❤

Answer:

Step-by-step explanation:

y = + 1x - 4y

1) Expand and simplify the following:
a)3(x squared plus 3x cubed - 2)​

Answers

Answer:

3x³ + x² - 2

Step-by-step explanation:

a) 3(x squared plus 3x cubed - 2)​

x squared = x²

3x cubed = 3x³

3(x squared plus 3x cubed - 2)​

= 3(x² + 3x³ - 2)

= 3x² + 9x³ - 6

Rearrange according to power

= 9x³ + 3x² - 6

When the expression is divided by 3, it is equivalent to

3x³ + x² - 2

y = 4x + 8; y = –x + 3

Answers

Answer:

y= -12

Step-by-step explanation:

4x+8 = -x+3 -> Find x by  using all information

5x=-5  -> Simplify

x=-1   -> Solve

y=-12  -> Plug in to find y

Mrs. Wu uses a 25% off coupon to buy 1 adult ticket and 1 child ticket to a movie. She pays a total amount of $9.00. A child ticket without the coupon costs $4.00. Write an equation that can be used to find the cost of an adult ticket, x, without the coupon.

Answers

(x/75x100)-4
12-4=8 (if the final answer was needed)

Not the answer:

I have no idea, also when I tried the first answer... it said it was wrong...

Program:

the program was hmh

5. The spinner is spun once, and the coin is flipped once. Which answer
choice has all the possible outcomes? Spinner (1, 2, 3, 4); Coin (H, T)*
A 1H, 1T, 2T, 3H, 3H, 4H, 4T
B 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T
C 1H, 1T, 2H, 2T, 4H, 4T, 5H,
D 1, 2, 3, 4, H, T

Answers

The answer to this question is B, do 4*2=8, only one answer has 8 outcomes

Answer:

The answer is B

Step-by-step explanation:

Hope it helps

Please give me the brainliest please!!! :[ I've never gotten one before.

write a numerical expression for the verbal expression
eighteen more than five

Answers

Answer:

5+8

Step-by-step explanation:

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