Question

PLZ HELP!!!!!
Calculate x​

Answer 1

x = 31

Explanation:

The two triangles are similar, so
`\triangle{NPO} \sim \triangle{YZO}`.

Vertex N matches up with vertex Y.

Vertex P matches up with vertex Z.

Vertex
`(NO)/(YO)=(1)/(4)\\\\(x)/(124)=(1)/(4)\\\\4x=124\\\\x=31` O matches up with itself.

Corresponding sides are in proportion. To find the proportion between the two triangles, you use known sides from each.

`(NP)/(YZ)=(23)/(92)=(1)/(4)` meaning the small triangle is 1/4 the size of the large one.

To find x , notice that it is side NO which corresponds to side YO from the large triangle.