Question

What is x? Round your answer to the nearest thousandth.

Answer 1

`x=10`

Explanation:

We can utilize the Triangle Propotionality Theoerm.

Therefore, we acquire that:

`\displaystyle (14)/(x-3)=(16)/(x-2)`

Solve for x. Cross-multiply:

`16(x-3)=14(x-2)`

We can first divide everything by 2:

`8(x-3)=7(x-2)`

Distribute:

`8x-24=7x-14`

Add 24 to both sides:

`8x=7x+10`

Subtract 7x from both sides. Therefore, the value of x is:

`x=10`