Question

GEOMETRY PLEASE HELP

Answer 1

x = 6.25

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

`(MQ)/(MP)` =
`(MN)/(MO)`, that is

`(15)/(15+x)` =
`(12)/(12+5)`

`(15)/(15+x)` =
`(12)/(17)` ( cross- multiply )

12(15 + x) = 255 ← distribute left side

180 + 12x = 255 ( subtract 180 from both sides )

12x = 75 ( divide both sides by 12 )

x = 6.25

Answer 2

x=75/12=25/4=6.25

Explanation:

As ∆MOP and ∆MNQ are similar,

MQ/MP=MN/MO

or,MQ/(MQ+QP)=MN/(MN+NO)

Given,MQ=15,QP=x,MN=12,NO=5,

15/(15+x)=12/(12+5)

or,15/(15+x)=12/17

or,15*17=12(15+x)

or,255=180+12x

or,12x=75

or,x=75/12=25/4=6.25 [ANS]