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Aneli [31]
3 years ago
8

A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long co

ngruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side

The system of equations can be used to represent the situation.

y = x + 22
x + 3y = 36

What is the length of one of the shorter congruent sides?
A. 2 centimeters
B. 6 centimeters
C. 8 centimeters
D. 17 centimeters
Mathematics
2 answers:
statuscvo [17]3 years ago
7 0

The answer is B. 6 centimeters.

zvonat [6]3 years ago
6 0
The answer is c. ...
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Solve for x and y then find angle ABE
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Answer:  x  is 9° ,  y is 21°. The measure of angle ABE is 48°.

Step-by-step explanation:

First we will solve for x.  

The variable x appears in the angle 8x + 18   and that angle is a right angle.

Right angles have the measure of 90 degrees so we will set the angle equal 90  and solve for x.

8x + 18 = 90    Subtract 18 from both sides

      - 18   -18  

8x = 72     divide both sides by 8

x = 9  

y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.

Since we already know x is 9 we will input it into the left side for x and solve for y.

y + 3(9) + 2y = 90

3y + 27= 90

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3y = 63

 y = 21  

Now we need to find the measure of angle ABE.

ABE is represented by  y + 3x  so since we know the value of y and x we will input it into the expression and solve for the angle.

21 + 3(9) = m∠ABE

21 + 27= m∠ABE

48 = m∠ABE

This means the measure of angle ABE is 48°

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jolli1 [7]

Answer:

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Step-by-step explanation:

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goldenfox [79]

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I hope this helps you




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3 years ago
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