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26 votes
26 votes
What is the value of x?

What is the value of x?-example-1
User MrJre
by
2.8k points

2 Answers

21 votes
21 votes

Answer:

x = 5

Explanation:

Set up proportion and cross multiply to solve:

9/2x-1 = 15/3x

x = 5

User Mohnish
by
2.4k points
15 votes
15 votes

Answer:

Explanation:

An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So

9/(2x - 1) = 15/3x Divide 3 into 15

9/(2x - 1) = 5/x Cross multiply

9x = 5(2x - 1) Remove the brackets

9x = 10x - 5 Switch sides.

10x - 5 = 9x Subtract 9x from both sides

10x - 9x - 5 = 0 Combine

x - 5 = 0 Add 5 to both sides.

x = 5

User Simon Chadwick
by
2.6k points