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Fed [463]
2 years ago
7

In the figure, BE||CD. Solve for x. Show your work.

Mathematics
1 answer:
marin [14]2 years ago
3 0

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>15</em>

<em>Answer</em><em> </em><em>is given below with explanations</em><em>. </em>

Step-by-step explanation:

in \: the \: figure \: BE ||  CD \\ by \: thales \: theorem \\  \frac{AE}{ED}  =  \frac{AB}{BC}  \\ on \: substituting \: the \: values \: from \: the \: figure \\  \frac{9}{6}  =  \frac{x}{10}  \\  \frac{3}{2}  =  \frac{x}{10}  \\ x =  \frac{3 \times 10}{2}  \\ x =  \frac{30}{2}  \\ x =15  \\

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

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Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.

<h3>What is the SSS Similarity Theorem?</h3>

The SSS similarity theorem states that two triangle area similar to each other if the ratio of the three corresponding sides of both triangles are equal.

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