Question

Help i forgot how to do this

Answer 1

x = 8

Explanation:

The diagram shows two similar triangles. Similar triangles have all the same angles and the sides are proportional to one another. So, by setting up a proportion of the sides, you can solve for the missing variable:

`(bigger)/(smaller)=(156)/(72)=((14x+5))/(54)`

Cross-multiply: 72(14x + 5) = 156(54)

Distribute: 1008x + 360 = 8424

Subtract 360 from both sides: 1008x + 360 - 360 = 8424 - 360

Divide: 1008x/1008 = 8064/1008

Solve for x: x = 8