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JulijaS [17]
3 years ago
9

Can I get all these questions answered?

Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

a. x is equal to 54.5

Step-by-step explanation:

The interior angles of a pentagon will add up to 540. Since it is a regular pentagon, each angle would be 108 degrees. So we can set the value of the angle to 108 and solve for x.

2x - 1 = 108

2x = 109

x = 54.5

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Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240
Alisiya [41]

Let's call the length of the rectangular fence l and the width of the rectangular fence w.


Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

A = lw

P = 2l + 2w


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240 = lw

68 = 2l + 2w


Now, let's solve the system using substitution.

240 = lw \Rightarrow \dfrac{240}{w} = l

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w - 10 = 0 \Rightarrow w = 10


We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

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w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24


Thus, our answer is Choice C, or 10 feet by 24 feet.

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