Question

Find the length of YZ

Answer 1

`YZ = 19cm`

Explanation:

To figure out what line YZ equals, we must first find x. And to do this, let's set up an equation.

Firstly, we know that XY is 8cm, and XZ is 4x+3. So, we know that XY + YZ will equal XZ. Let's set that up:

`8 + 2x+7=4x+3`

Combine like terms.

`2x+15=4x+3`

Subtract 2x from both sides.

`15=2x+3`

Subtract 3 from both sides.

`12=2x`

Divide both sides by 2.

`6=x`

Now, we just need to plug 6 into the equation of YZ.

`2(6)+7`

`12+7`

`YZ = 19`