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3 years ago

9

In triangle FGH, angle G is 30 degrees and angle H is 100 degrees. What is the measure of angle F? * 1 point 50 degrees 70 degre

es 130 degrees 30 degrees

1 answer:

serg [7]3 years ago

5 0

Mark brainlist please!

Answer is 50 degrees

Since,

measure of angle F + measure of angle G + measure of angle H = 180

30 + 100 + measure of angle F = 180

Measure of angle F = 180 - 130

Measure of angle F = 50 degrees

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Which statement about the figure MUST be true? Select all that apply.

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<h2>○=> <u>Correct options</u> :</h2><h2>□ $\color{plum}\tt\bold{(C) \: SR = 27}$ </h2><h2>□ $\color{plum}\tt\bold{(D) \: QR = 54 }$ </h2><h3><u>Steps to derive the correct options</u> :</h3>

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Which means :

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▪︎QR = 54

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▪︎(C) SR = 27

▪︎(D) QR = 54

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3 years ago

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3 years ago

Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

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Answer:

Step-by-step explanation:

Write an equation for each statement:

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"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

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"She has 10 more dimes than nickels"

d = n + 10

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"twice as many quarters as dimes."

q = 2d

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How many coins of each kind does she have?

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Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

:

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

:

.05(d-10) + .1d + .25(2d) = 15.75

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.05d - .5 + .1d + .5d = 15.75

:

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:

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Remember the statement "twice as many quarters as dimes."

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:

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

:

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0

2 years ago