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Mashutka [201]
4 years ago
5

iddle" class="latex-formula">
Mathematics
1 answer:
gogolik [260]4 years ago
8 0
15+15+30=(15+15) +30=30+30=60
your number is 60
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PLEASE HELP!<br> solve for x and then find measure for angle b
Bezzdna [24]
<h3>Answers:</h3><h3>x = 12</h3><h3>Angle B = 45 degrees</h3>

===========================================================

Explanation:

Angles A and B are alternate exterior angles.

Due to the parallel lines, alternate exterior angles are congruent

A = B

5x-15 = 2x+21

5x-2x = 21+15

3x = 36

x = 36/3

x = 12

Use this x value to find the measure of angle B

angle B = 2x+21

angle B = 2*12+21

angle B = 24+21

angle B = 45 degrees

As a check,

angle A = 5x-15

angle A = 5*12+15

angle A = 60-15

angle A = 45 degrees

Since A and B are both 45 degrees, this confirms the correct x value

4 0
4 years ago
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Alexxandr [17]

Answer:

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Step-by-step explanation:


3 0
3 years ago
Factor completely.<br><br> 3x^2 −147=
erica [24]

Answer:

3(x - 7)(x+7)

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that 3x^2 and -147 both have. The terms only have 3 in common, which can be divided with

3x^2 - 147\\3(x^2 - 49)

However, we're still not done since 49 is a perfect square and (x^2 - 49) can be split into 2, like so:

3(x - 7)(x+7)

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

5 0
3 years ago
A cerise box has a height of 32 centimeters. It has a base with an area of 160 square centimeters. What is the volume, in cubic
Nonamiya [84]

Answer:

5,120 cm³

Step-by-step explanation:

Volume = Base area × height

Base area = 160 cm²

Height = 32 cm

Vol. = 160 × 32

= 5,120 cm³

7 0
3 years ago
The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm apart on the map, what is the distance between Maine a
Leviafan [203]
Essentially, you must multiply 22 by 400. You get 8800 km apart for your answer.

5 0
4 years ago
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