Question

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)

Answer 1

`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