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3 years ago

12

Juanita has a strip of paper divided into 8 equal sections. She colored 3 of the sections yellow, 2 of the sections black, and t

he rest are green. What fraction of the sections are green?

1 answer:

Musya8 [376]3 years ago

5 0

I think its 2/8 but I'm not sure

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Which of the following statements are true of the graph of the function f(x)=(x+5)(x-3)?

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When i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?

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$41 \: \: \: years \: \: \: old$

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Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

value of x
value of y

<u>Let's gather some information</u>:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

<u>Answer:</u>

<u>x= 17.143</u>
<u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

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1 year ago