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Can someone help me on this?

Can someone help me on this?-example-1
User Veve
by
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1 Answer

3 votes

Given:


\Delta DE F\sim \Delta DST


DE=40, EF=4x-4,DS=10,ST=11

To find:

The value of x.

Solution:

We have,


\Delta DE F\sim \Delta DST

The corresponding sides of the similar triangles are proportional.


(DE)/(DS)=(EF)/(ST)

On substituting the given values, we get


(40)/(10)=(4x-4)/(11)


4=(4x-4)/(11)

Multiply both sides by 11.


4* 11=4x-4


44=4x-4

Add 4 on both sides.


44+4=4x


48=4x

Divide both sides by 4.


(48)/(4)=x


12=x

The value of x is 12. Therefore, the correct option is D.

User Jordan Matthiesen
by
8.6k points

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