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02-03-2020
Mathematics

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Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Solve for the value of x in the diagram Show your work and explain the steps you used to solve class=

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02-03-2020

Since EB is parallel to CD, triangles ABE and ACD are similar. So, we can set up a proportion between correspondent sides:

[tex]AE\div AD = AB \div AC[/tex]

Substituting values, we have

[tex]16\div 40=35-x\div 35[/tex]

This implies

[tex]40(35-x)=560 \iff 1400-40x=560 \iff 40x=840 \iff x=21[/tex]

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