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3 years ago

Below are two parallel lines with a third line intersecting them.

Mathematics

1 answer:

Scrat [10]3 years ago

3 0

Answer:

x = 53 degree

Step-by-step explanation:

53 degree angle = x angle( alternate exterior angle)

Therfore, x = 53 degree

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If the ordered pairs graphed are all equivalent ratios

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Use the Law of Sines to find the missing angle of the triangle.

Natasha2012 [34]

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

<u>Sine Rule for Angles</u>

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

a = 13
c = 19
A = 40°

Substituting the given values into the formula to find m∠C:

$\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}$

$\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}$

$\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)$

$\implies \sf m \angle C=69.96086904^{\circ}$

Interior angles of a triangle sum to 180°

$\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}$

$\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}$

$\implies \sf m \angle B=70.03913...^{\circ}$

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2 years ago

A school bus has 25 seats, with 5 rows of 5 szt. 15 students from the first grade and 5 students from the second grade travel in

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2 1 1 1

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If you can use 2 or 3 rows there are some more answers.

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3 years ago