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Triangles MOP and MNQ are similar. Find x.

Triangles MOP and MNQ are similar. Find x.-example-1
User Optimae
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2 Answers

4 votes

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

User Bobby Battista
by
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5 votes

Answer:

The value of x is 4/3.

Explanation:

It is given that triangles MOP and MNQ are similar.

The corresponding sides of similar triangles are proportional.


(MQ)/(MP)=(MN)/(MO)


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

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


(4)/(4+x)=(6)/(6+2)


(4)/(4+x)=(6)/(8)


4* 8=6(4+x)


32=24+6x


32-24=6x


8=6x

Divide both sides by 6.


(8)/(6)=x


(4)/(3)=x

Therefore the value of x is 4/3.

User Abn
by
8.4k points

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