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AnnZ [28]
3 years ago
11

Angle A and B are supplementary angles. The measure of angle B is twice the measure of angle A minus 24. Find the measure of the

angle A and B.
Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

A = 58

B = 112

Step-by-step explanation:

A + B = 180                           Supplementary angles

B = 2A - 24                           Given

Substitute for B in the first equation

A + 2A - 24  = 180

3A - 24 = 180                         Add 24 to both sides

3A = 180 + 24                        Combine the right

3A = 204                               Divide both sides by 3

A = 204/3

A = 68

B = 2A - 24

B = 2*68 - 24

B = 136 - 24

B = 112

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If the ratio of red marbles to blue marbles in a jar is 3 to 8, the meaning is for every 3 red marbles there are 8 blue marbles.
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ratio=3/8

we have 40 blue marbles; we have to compute the number of red marbles.

1) Method 1; by the rule three.

3 red marbles-----------------8  blue marbles
x----------------------------------40 blue marbles

x=(3 red marbles * 40 blue marbles) / 8 blue marbles=15 red marbles.

answer: B. 15

Method 2: the ratio of red marbles to blue marbles is
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if we want to compute the number of red marbles we have to multiply the number of blue marbles by this  ratio.

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5 0
3 years ago
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The area of a right triangle is given by the expression:
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The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u><em>Recall</em></u>:

The area of a triangle = \frac{1}{2} bh

<em><u>Given</u></em>:

Area of triangle = \frac{1}{2} (6x^2 - 7x - 3)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

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To find the expression that models the other leg, divide 6x^2 - 7x - 3 by 3x + 1:

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\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3

Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u></u>

<u></u>

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brainly.com/question/20712284

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Then the value of α is ...
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