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Lerok [7]
3 years ago
13

Suppose two angles of one triangle are congruent to two angles of another triangle. What can you conclude about the relationship

between the third angles in each triangle? What does this tell you about the two triangles? Justify your answer.
Mathematics
1 answer:
kaheart [24]3 years ago
7 0
That both 2 angles of the triangles are not equal to the third angle... the third angle is most likely bigger because it would not exactly be a triangle if it wasnt

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In the quadrant you start at (2,6) and move 5 units right what point will end up on?
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(7,6)

Step-by-step explanation:

Add 5 to the x-value of the point.

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What is the answer to 2 to the second power cubed
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constructing a border around a pool a circular pool measures 10 feet across. one cubic yard of concrete is to be used to create
Paha777 [63]

Answer:

We get w = 1.508 feet.

Step-by-step explanation:

Let w be the width of the border.

The diameter of the pool will be 10 feet.

The depth will be 3 inches. So, we will convert it to feet.

3 inches = \frac{3}{12}=0.25 feet

The circular area including pool and the border, radius =(w+5)

Border area = Total area - pool area

= \pi (w+5)^{2} -\pi (5)^{2}

Putting pi = 3.14 and solving the expression we get the following equation:

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As given one cubic yard of concrete is to be used, this is the volume to be used.

1 cubic yard = 27 cubic feet

Now using the volume given and thickness of this area that is 0.25 feet.

0.25(3.14w^{2}+31.4w-53.5) =27

=> 0.785w^{2}+7.85w-13.375-27= 0

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Solving this quadratic equation, we get w = 1.508 feet and w = -11.508 feet.

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3 0
3 years ago
9x - 5 = 1/4 (16x + 60)
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Answer:

x=4

Step-by-step explanation:

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Answer:

110 large bags and 170 small bags of popcorn were sold.

Step-by-step explanation:

Since yesterday a movie theater sold 280 bags of popcorn, and a large bag of popcorn costs $ 4 while a small bag of popcorn costs $ 1 and in all, the movie theater made $ 610 from popcorn sales, to find how many bags of each size of popcorn were sold, the following calculation must be performed:

280 x 4 + 0 x 1 = 1120

140 x 4 + 140 x 1 = 700

130 x 4 + 150 x 1 = 670

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Therefore, 110 large bags and 170 small bags of popcorn were sold.

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