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N76 [4]
3 years ago
14

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 + 2 2x + 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:
Charra [1.4K]3 years ago
6 0

Answer:

B 6 centimeters

Step-by-step explanation:

y = x + 2

2x + 3y = 36

substitute y = x+2  into the second equation

2x + 3 (x+2) = 36

distribute

2x + 3x+ 3*2 = 36

combine like terms

5x+6 = 36

subtract 6 from each side

5x +6-6 = 36 -6

5x = 30

divide by 5

5x/5 = 30/5

x = 6

the short side is x =6

the longer side is

y= x+2

y = 6+2

y =8

12345 [234]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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Given:

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ElenaW [278]
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)

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=  </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>

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= (4 -3i)(2i + 2yi)

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</span>
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(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i                Note: i² = -1
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