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3 years ago

7

Curtis is packing to move. He finds 23 photo albums in the attic and 45 albums in a closet. If he divides them equally among 4 b

oxes, how many albums will he put in each box?

2 answers:

belka [17]3 years ago

7 0

He will put 17 albums in each box

nekit [7.7K]3 years ago

4 0

The correct answer is 17

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Solve for b, then solve for each angle in the triangle

lesya692 [45]

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

$b+2b+(b+16)=180$

then, solving for b, we get:

$\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}$

now that we have that b = 41, we can find the measure of each angle:

$\begin{gathered} b=41 \\ 2b=2(41)=82 \\ b+16=41+16=57 \end{gathered}$

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8 months ago

What is one of the solutions to the following equations? y2+x2=53<br> Y-x=5

Olenka [21]

(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5

subtitute (2) to (1)

(x + 5)² + x² = 53      |use (a + b)² = a² + 2ab + b²

x² + 2x·5 + 5² + x² = 53

2x² + 10x + 25 = 53     |subtract 53 from both sides

2x² + 10x - 28 =0     |divide both sides by 2

x² + 5x - 14 = 0

x² - 2x+ 7x - 14 = 0

x(x - 2) + 7(x - 2) = 0

(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7

subtitute the values of y to (2)

for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3

Answer: x = 2 and y = 7 or x = -7 and y = 3

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Right square pyramid V=189cm³

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