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3 years ago

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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

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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Answer:

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Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

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Step-by-step explanation:

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