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2 years ago

<1 and <2 are supplementary angles m<1 = x-29 and m<2 = x+71 Find the measure of each angle

Mathematics

1 answer:

Mariulka [41]2 years ago

4 0

Answer:

<1 = 40 degrees

<2 = 140 degrees

Step-by-step explanation:

x - 29 + x + 71 = 180

2x + 42 = 180

2x = 180 - 42

x = 138/2

x = 69

<1 = 69 - 29 = 40 degrees

<2 = 180 - 40 = 140 degrees

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AURORKA [14]

Answer:

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Step-by-step explanation:

The Law of Cosines is $c^2=a^2+b^2-2ab cos(C)$ , where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

$m^2=21^2+12^2-2(21)(12) cos(62)$

Simplify:

$m^2=441+144-504 cos(62)$

$m^2=585-504 cos(62)$

$m=\sqrt{585-504cos(62)}$

m≈18.665...

When rounded to the nearest tenth, m=18.7

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vladimir2022 [97]

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Step-by-step explanation:

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What’s the answer to 4x(x+3) < -24

NARA [144]

The answer to the inequality is expressed as x< 1 and x< -4

<h3>What are inequalities?</h3>

Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.

Given the inequality;

4x (x+3) < -24

First, expand the bracket

4x² + 12x < - 24

Let's turn to quadratic inequality

4x² + 12x - 24 < 0

Factorize further

4 ( x² + 3x - 4) < 0

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expand the bracket

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Thus, the answer to the inequality is expressed as x< 1 and x< -4

Learn more about inequalities here:

brainly.com/question/25275758

#SPJ1

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