MATH SOLVE

3 months ago

Q:
# If L is the midpoint of KM find the lengths of KL, LM, and KM

Accepted Solution

A:

A midpoint is half way, so it divides the segment KM into two equal halves. In this problem segment KL will be equal to segment LM.

2x+1=3x-4

Subtract 2x from both sides

1=x-4

Add 4 to both sides

5=x

KL (2x+1)

Substitute the answer for x in expression

=2(5)+1

=10+1

=11

LM (3x-4)

=3(5)-4

=15-4

=11

KM

=KL+LM

=11+11

=22

The answer is D) 11, 11, 22

Hope this helps! :)

2x+1=3x-4

Subtract 2x from both sides

1=x-4

Add 4 to both sides

5=x

KL (2x+1)

Substitute the answer for x in expression

=2(5)+1

=10+1

=11

LM (3x-4)

=3(5)-4

=15-4

=11

KM

=KL+LM

=11+11

=22

The answer is D) 11, 11, 22

Hope this helps! :)