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Masja [62]
3 years ago
10

Jeff is building a bookcase for his room and wants to be sure the shelves are parallel. He measures the angles below and knows t

he shelves are parallel when he finds which two angles to be supplementary?

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

∠2 and ∠4 are the supplementary angle.

Step-by-step explanation:

Shelves of the bookcase are parallel and a transversal line is intersecting these points at two distinct points.

By the property,

Sum of two interior consecutive angles measure 180°.

From the figure attached,

∠2 and ∠4 are the interior consecutive angles.

Therefore, m∠2 + m∠4 = 180°

Which proves that shelves of the showcase are parallel.

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Finding the Midpoint of the Two Coordinates<br> 6.) A(-2, 3), B(5,-1)
RoseWind [281]

Answer:

The answer is

<h2>( \frac{3}{2}  \: , \: 1) \\</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

From the question the points are

A(-2, 3), B(5,-1)

The midpoint is

M = ( \frac{ - 2 + 5}{2} \:   , \:  \frac{3 - 1}{2} ) \\   = ( \frac{3}{2}  \: , \:  \frac{2}{2} )

We have the final answer as

( \frac{3}{2}  \: , \: 1) \\

Hope this helps you

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3 years ago
The distance between the points (2,-1,-8) and (6,-3,4)
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distance= \sqrt{(6-2)^2+(-3-(-1))^2+(4-(-8))^2}  \\ \\ =\sqrt{4^2+ (-2)^2+12^2}  \\ \\ = \sqrt{16+4+144}\\\\= \sqrt{164}  \\\\=2 \sqrt{41}


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4 years ago
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Answer:

<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

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<em>Thus, Solution ; Expected Payoff ⇒ $ 1.50</em>

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