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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)

User Leann
by
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1 Answer

1 vote

Answer:


LS = 63

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

Hence, the length of LS is 63 units

User Muhammad Nabeel
by
7.6k points
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