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dangina [55]
3 years ago
13

What are the values of a and b?

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

<h2>          A.   \bold{a=\dfrac92\ ,\quad b=\dfrac{15}2}</h2>

Step-by-step explanation:

The segment 6 is dividing the large triangle to similar triangles, so:

\dfrac a6=\dfrac b{10}=\dfrac68

Therefore:

\dfrac a6=\dfrac68\\\\8a=36\\\\a=\dfrac{36}8=\dfrac92            and            \dfrac b{10}=\dfrac68\\\\8b=60\\\\b=\dfrac{60}8=\dfrac{15}2

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