3 years ago

I need help with this geometry

Mathematics

1 answer:

Naily [24]3 years ago

4 0

Answer:

ur choice answer is correct

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3 years ago

HELP MEEEEE PLEASEEEEEE

Sindrei [870]

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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What is the coefficient of y in the expression 1 · 2 + 6y ?

zloy xaker [14]

The coefficient of Y is 6

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Read 2 more answers