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Norma-Jean [14]
3 years ago
12

What is the value of a?

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

Answer:

\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}

Step-by-step explanation:

\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}

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