Question

Question 4 (20 points)

Point B is between A and C, AB=4x-10, BC=x+30 and AC-6x-10. Find the value of x and AC.
O a
Ob
Oc
Od
X=30 and AC=170
X=20 and AC=110
X=15 and AC=80
X=14 and AC=74

Answer 1

We know that B is between A and C, so the length of AB plus the length of BC should be equal to the length of AC. Using this fact, we can set up an equation:

AB + BC = AC

(4x - 10) + (x + 30) = 6x - 10

Simplifying and solving for x:

5x + 20 = 6x - 10

x = 30

So x is 30. Now we can find AC:

AC = 6x - 10

AC = 6(30) - 10

AC = 170

So AC is 170. Therefore, the answer is (A) X=30 and AC=170.