Question

Triangles MOP and MNQ are similar. Find x.

Answer 1

Answer:

The value of x is 4/3.

Step-by-step explanation:

It is given that triangles MOP and MNQ are similar.

The corresponding sides of similar triangles are proportional.

$\frac{MQ}{MP}=\frac{MN}{MO}$

$\frac{MQ}{MQ+QP}=\frac{MN}{MN+NO}$

It is given that MQ=4, QP=x, MN=6, NO=2. Put this value in the above equation.

$\frac{4}{4+x}=\frac{6}{6+2}$

$\frac{4}{4+x}=\frac{6}{8}$

$4\times 8=6(4+x)$

$32=24+6x$

$32-24=6x$

$8=6x$

Divide both sides by 6.

$\frac{8}{6}=x$

$\frac{4}{3}=x$

Therefore the value of x is 4/3.

Answer 2

Aight so if you add the angel mn and no you get eight so that must mean the opposite side must also equal eight, in that case 8-4 is 4, so Qp is 4

correct me if im wrong