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bagirrra123 [75]

2 years ago

5

When the American Idol competition was down to the final two contestants, the winner was ahead of the second place finisher by $

12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?

1 answer:

Ilya [14]2 years ago

8 0

Answer:

51 million

Step-by-step explanation:

a small loan of 51 mIlLiOn dOlLaRs

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The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq

horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

$h+p=305$ ----> equation A

$h+153=h+p$ ---> equation B

so

substitute equation A in equation B and solve for h

$h+153=305$

subtract 153 both sides

$h=305-153$

$h=152\ ft$

7 0

1 year ago

Parallel lines s and t are cut by a transversal r. Parallel lines s and t are cut by transversal r. Clockwise from top left, the

bearhunter [10]

Answer:

The corresponding angles are:

∠ 1 and ∠ 5

∠ 2 and ∠ 6

∠ 3 and ∠ 7

∠ 4 and ∠ 8

Step-by-step explanation:

When two parallel lines are crossed by another line, the angles in matching corners are called corresponding angles and they are equal in measures

∵ Lines s and t are parallel

∴ s // t

∵ Line r intersects lines s and t

∴ Line r is the transversal

∵ Corresponding angles are formed

- Look to the attached figure

∴ ∠ 1 ≅ ∠ 5 ⇒ corresponding angles

∴ ∠ 2 ≅ ∠ 6 ⇒ corresponding angles

∴ ∠ 3 ≅ ∠ 7 ⇒ corresponding angles

∴ ∠ 4 ≅ ∠ 8 ⇒ corresponding angles

The corresponding angles are:

∠ 1 and ∠ 5

∠ 2 and ∠ 6

∠ 3 and ∠ 7

∠ 4 and ∠ 8

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1 year ago

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Sharon is 54 inches tall. tree in her backyard is five times as tall as she is. the floor of her treehouse is at a height that i

mafiozo [28]

First to solve this problem you are going to figure out how tall the tree is. So if Sharon is 54 inches and the tree 5 times the height she is you would do 54*5= 270. Next you go to find out how tall the floor of her tree house is. It says the floor is twice the height of her so you would do 54*2=108. Then the problem asks the difference between the top of the tree and the floor of the tree house. So 270-108=162. I hope this helped. :) Brainliest answer?

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2 years ago

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Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.

masha68 [24]

By the binomial theorem,

$7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1$

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

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Each month for 5 months, sophie makes 2 quilts. how many more quilts does she need to make before she has made 16 quilts?

Zigmanuir [339]

6 quilts are needed

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2 years ago

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