Question

Find LN if LM = 4x - 20,

MN = 19
LN = 6x - 35.
Options:
A) LN = 5x - 1
B) LN = 4x - 1
C) LN = 6x - 1
D) LN = 5x - 35

Answer 1

To find the length of LN, we must combine the given lengths of LM (4x - 20) and MN (19), leading to LN = 4x - 1. Hence, the correct option is B) LN = 4x - 1.

Step-by-step explanation:

The student is tasked with finding the length of segment LN given two expressions for the lengths of segments LM and MN. To find the length of LN, we need to add the expressions for LM and MN because in a line segment, the whole is equal to the sum of its parts.

We are given:

• LM = 4x - 20
• MN = 19

Since LN = LM + MN, let's calculate it:

LN = (4x - 20) + 19
Combine like terms.
LN = 4x - 1

Therefore, the correct option is B) LN = 4x - 1.