Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N.

Question

aev [14]

3 years ago

7

Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N.

Line segment K L is 9 x +5. Line segment K N is 14 x minus 3. What is the length of segment LM? units

Mathematics

2 answers:

Helen [10] · Answer 1 · 2022-02-23T13:18:53+03:00

Helen [10]3 years ago

8 0

The answer is 23 units. I got this answer right on this question, if this do help please tap the heart or comment that this helped you. : ) have a lovely day

ASHA 777 [7] · Answer 2 · 2022-02-23T11:56:01+03:00

Answer:

The value of segment LM is 9x + 5.

Step-by-step explanation:

Consider the image below.

A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.

So from the diagram below we know:

KL = LM

line <em>a</em> is ⊥ to KM

∠NLK = 90°

Since the angle measure of ∠NKL is not provided we cannot determine the value of <em>x</em>.

So, the value of segment LM is 9x + 5.