Question

1. Point K is between points Hand J, HK= 4x - 10, KJ= 5x + 9 and HJ=35. Find the valueof x.

Answer 1

x = 4

Explanation:

Point K is between points H and J:

This means that HJ can be written as the sum of HK and KJ. So

HJ = HK + KJ

We are given:

HK = 4x - 10

KJ = 5x + 9

HJ = 35

So

HJ = HK + KJ

35 = 4x - 10 + 5x + 9

9x - 1 = 35

9x = 36

x = 36/9

x = 4