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Find the length of LO if M is between L and O, LM = 7x - 9,
MO = 14 inches, and LO = 10x - 7.

User Sharat
by
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1 Answer

3 votes

Answer:

The length of LO is 33 inches.

Step-by-step explanation:

Given that M is between L and O, we have the following lengths:

LM = 7x - 9

MO = 14 inches

LO = 10x - 7

Since L-M-O forms a straight line, the sum of the lengths of LM and MO should be equal to the length of LO:

LM + MO = LO

Substitute the given values:

(7x - 9) + 14 = 10x - 7

Now, solve for x:

7x - 9 + 14 = 10x - 7

7x + 5 = 10x - 7

Subtract 7x from both sides:

5 = 3x - 7

Add 7 to both sides:

12 = 3x

Divide by 3:

x = 4

Now that we have the value of x, we can find the length of LO:

LO = 10x - 7

LO = 10(4) - 7

LO = 40 - 7

LO = 33 inches

The length of LO is 33 inches.

User Arcord
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8.8k points