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3 years ago

Name each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive. Then solve for x.

Mathematics

1 answer:

Studentka2010 [4]3 years ago

4 0

Answer:

x = -2

Step-by-step explanation:

These 2 angles are <u>alternate exterior</u> so they're equal to each other.

x + 127 = 125

x = 125 - 127

x = -2

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Answer:

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Step-by-step explanation:

In general, remember that the converse of $a => b$ is $\neg b => \neg a$ , therefore in this case $a = r \ \ , b = \neg q \ \lor p$

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Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,

alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

$\frac{sin(B)}{b} = \frac{sin(C)}{c}$

$\frac{sin(B)}{24} = \frac{sin(82)}{29}$

$sin(B)*29 = sin(82)*24$

$\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}$

$sin(B) = \frac{sin(82)*24}{29}$

$sin(B) = 0.8195$

$B = sin^{-1}(0.8195)$

$B = 55.0$

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

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Cross multiply

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