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2 years ago

Exterior angle theorem

Mathematics

1 answer:

mario62 [17]2 years ago

3 0

Answer: 141
Shape: Triangle
Degrees of a triangle: 180
Missing Angle: 180 - (32 + 109) = 39
——————————————————-
Supplementary Angles = 180
M = 180 - 39 = 141

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This week, Ariel ended up needing 12 gallons of gas. That is 20% more than she needed last

Jobisdone [24]

Answer:

10 gallons

Step-by-step explanation:

She used 12 gallons this week and used 20% more than last week. That means 12 gallons is 120% of last weeks gas. Since 12 times 10 equals 120, then to find 20% you do 20 divided 10 and subtract the answer from 12.

20% is 2 because 20 divided by 10 is 2. 12 minus 2 is 10

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2 years ago

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Answer the answer would be 6

Step-by-step explanation:

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You have two nickels three dimes and a quarter. Using at least one of each coin, how many different amounts of money can you mak

Slav-nsk [51]

2 nickels (5 cents each)
3 dimes (10 cents each)
1 quarter (25 cents)

1 nickel, 1 dime, 1 quarter
5 + 10 + 25 = 40

2 nickels, 1 dime, 1 quarter
5(2) + 10 + 25 = 45

1 nickel, 2 dimes, 1 quarter
5 + 10(2) + 25 = 50

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5 + 10(3) + 25 = 60

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2 years ago

a rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is t

frez [133]

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

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8x² + 2x - 21 = 0 (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0 (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

$x = -\frac{7}{4} = -1.75$ or $x =\frac{3}{2} = 1.5$

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

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2 years ago

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Sauron [17]

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