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Jlenok [28]
2 years ago
12

Find the unknown angle measure by solving for the given variable

Mathematics
1 answer:
tiny-mole [99]2 years ago
3 0

A straight line is 180°. So you can do:

(15x - 4) + (5x - 8) = 180  Simplify

20x - 12 = 180

20x = 192    Find the value of x

x = 9.6

m∠ABD = 15x - 4      Plug in x = 9.6

m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

m∠DBC = 5x - 8   Plug in 9.6

m∠DBC = 5(9.6) - 8 = 48 - 8 = 40°

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Step-by-step explanation:

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Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60
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Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

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L=5W-60 (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

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800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0

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W^2-12W-160=0

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(W-20)(W+8)=0

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