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ira [324]
3 years ago
7

Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

LS = 63

Step-by-step explanation:

Given

LS = 14x - 21

LH = 15

HS = 8x

Required

Determine the length of LS

Since H is between L and S, then

LS = LH + HS

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

14x - 21 = 15 + 8x

Collect Like Terms

14x - 8x = 21 + 15

6x = 36

Divide both sides by 6

x = 6

Substitute 6 for x in LS = 14x - 21

LS = 14(6) - 21

LS = 84 - 21

LS = 63

<em>Hence, the length of LS is 63 units</em>

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