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2 years ago

HELP MEEEEE PLEASEEEEEE

Mathematics

1 answer:

Sindrei [870]2 years ago

6 0

Answer:

$x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5$

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

$\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}$

Then

$\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}$

From the similarity of triangles,

$\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}$

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Answer:

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Step-by-step explanation:

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Step-by-step answer:

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Nuetrik [128]

Answer:

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1) Multiply the equation by 2sin(θ) to get an equation that looks like ...

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