Question

Identify the segment bisector of AB. Then find BM. 4x + 1 7x - 35 ​

Answer 1

Answer:

a. Bisector is at point M

b. $AB = 98$

Step-by-step explanation:

Question is not well formatted:

Given

$AM = 4x+1$

$MB = 7x-35$

Solving (a): The segment bisector

From the given parameters above

We have AM and MB

The common point in AM and MB is M;

This indicates that the bisector is at point M

Solving (b): The value of AB

First we need to determine the value of x

Because M is the point of bisector;

$AM = MB$

$4x + 1 = 7x - 35$

Collect Like Terms

$4x - 7x = -1 -35$

$-3x = -36$

Solve for x

$x = -36/-3$

$x =12$

Next is to determine the value of AB using

$AB = AM + MB$

$AB = 4x + 1 + 7x - 35$

Collect Like Terms

$AB = 4x + 7x + 1 - 35$

$AB = 11x - 34$

Substitute 12 for x

$AB = 11 * 12 - 34$

$AB = 132- 34$

$AB = 98$