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

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 $LS = 14x - 21$

$LS = 14(6) - 21$

$LS = 84 - 21$

$LS = 63$

Hence, the length of LS is 63 units