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jek_recluse [69]
3 years ago
12

9. A retaining wall on the playground is

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0
Dghfjgjghcjjfjfjgjgjcjxjxjf
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Someone please help me with this question asap!
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Answer:

23.5 in

Step-by-step explanation:

To find the length of HJ in triangle GHJ, create <u>three equations</u> using the given information, then solve simultaneously.

<u>Equation 1</u>

HJ is two inches longer than GH:

⇒ HJ = GH + 2

<u>Equation 2</u>

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<u>Equation 3</u>

The perimeter of ΔGHJ is 73 inches:

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⇒ GJ = 2GH - 15

<u>Substitute</u> Equation 1 into <u>Equation 3</u> and isolate GJ:

⇒ GH + 2 + GH + GJ = 73

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⇒ GJ = 71 - 2GH

<u>Equate</u> the two equations where GJ is the subject and <u>solve for GH</u>:

⇒ 2GH - 15 = 71 - 2GH

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⇒ HJ = 21.5 + 2

⇒ HJ = 23.5

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