Parallelogram FIRE

Given:
[tex]fi = (3x - 5) \: cm[/tex]
[tex]ir = (2y - 7) \: cm[/tex]
[tex]re = (x + 7) \: cm[/tex]
[tex]ef = (y + 3) \: cm[/tex]
a. What is the value of x?
b. How long is FI?
c. What is the value of y?
d. How long is EF?
e. From your answers in b and d, what is the perimeter of parallelogram FIRE?

Answers

Answer 1

Answer:

See the solutions below

Step-by-step explanation:

First note that the opposite side of a parallelogram are equal, hence;

For Parallelogram FIRE

fi = re

ef = ir

Given

fi = (3x-5)cm

ir = (2y -7)cm

re = (x+7)cm

ef = (y+3)cm\

a) If fi = re, then;

3x - 5 = x+7

3x - x = 7+5

2x = 12

x = 12/2

x = 6

b) Since FI = 3x - 5

FI = 3(6) - 5

FI = 18 - 5

FI = 13cm

c) Also ef = ir

y+3 = 2y - 7

y - 2y = -7-3

-y = -10

y = 10

d) EF = y+3

EF = 10 +3

EF =13cm

e) Perimeter of the parallelogram = FI + IR + RE + EF

Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm

Perimeter of the parallelogram = 52cm


Related Questions

A circular fountain has a drain in the center. The distance from the drain to the edge of the fountain is 3 feet. What is the circumference of the fountain? Round your answer to the nearest tenth of a foot.

Answers

Answer:

18.8 feet

Step-by-step explanation:

Since the drain is in the center, the distance between the drain and the edge is the radius of the circular fountain.

Use the circumference formula: C = 2[tex]\pi[/tex]r, and plug in 3 as r (the radius).

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](3)

Solve for C:

C = 6[tex]\pi[/tex]

C = 18.8

So, the circumference of the fountain is approximately 18.8 feet

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Answer:

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Answers

Answer:

False

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Answers

i think the answer could be -8

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Answers

Answer:

chord

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Solve the simultaneous equations

y – x = 3
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Answers

Answer:

x=1/2, y=3 1/2

Step-by-step explanation:

substitute y=7x into y-x=3

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help!!​

Answers

Let n = a number.

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This becomes n + 5.

The word "is" means equal in math.

Let's put it all together now.

n + 5 = 22

Done!

Answer:

Step-by-step explanation:

First, let's call "a number": n

Then, "five more than" means to add 5 to what follows or:

n+5=22

Which would be the next step?

Answers

Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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perimeter of semi circle = (25.12)(0.5) = 12.56

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Answer:

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Step-by-step explanation:

Because

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Answer:

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Step-by-step explanation:

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We divide 16 by 2 to get 8

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Answers

Answer:

Step-by-step explanation:

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-10 = - 5s

-10/-5 = s

2 = s

Answer:

2

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-2+2s-(-3s)=8

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

(-3, -17)

Step-by-step explanation:

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f(x) = 2(x^2 + 6x + 9 - 9) + 1, or

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Answers

Stop sending files/links. Help them

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Answers

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Answer:

Step-by-step explanation: number 1

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

you got them correct

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