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3 years ago

Given the following diagram, enter the required information.

Mathematics

1 answer:

viva [34]3 years ago

7 0

Answer:

39° 44' 52''

Step-by-step explanation:

<h3>Given</h3>

m∠DXB = 70° 15' 12''
m∠DXC = 30° 30' 20''

m∠CXB

<h3>Solution</h3>

<u>According to Angle Addition postulate:</u>

m∠DXB = m∠DXC + m∠CXB

<u>Therefore</u>

m∠CXB = m∠DXB - m∠DXC
m∠CXB = 70° 15' 12''- 30° 30' 20'' = 39° 44' 52''

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Which of the following is not a solution to the equation - 2x + 3y=9.

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4 years ago

Find the measure of each interior angle of the regular polygon

lukranit [14]

Answer:

140 deg

Step-by-step explanation:

The sum of the measures of the interior angles of an n-gon is

(n - 2)180

In a 9-gon, there are 9 sides, so n = 9.

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= (9 - 2)(180)

= 7(180)

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4 years ago

Lines p and q are parallel. what is the measure of angle 3 in degrees?

Dmitrij [34]

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3 years ago

Hi, does anyone know how to solve this. If so, please show the working out too. Thanks.

sergiy2304 [10]

See the explanation

<h2>Explanation:</h2><h2 />

I have corrected your diagram so ∅ is the angle at the top of the diagram. In order to solve this problem we have to use Pythagorean theorem and the law of sines. Moreover, I have named two sides as w and z so those variables will help us to solve this problem. So:

The triangle at the bottom is right, so by Pythagorean theorem is true that:

$w^2=4^2+(2\sqrt{2})^2 \\ \\ w^2=24 \\ \\ w=\sqrt{24} \\ \\ w=2\sqrt{6}$

By law of sines:

$\frac{z}{sin\theta}=\frac{w}{sin60^{\circ}} \\ \\ z=\frac{wsin\theta}{sin60^{\circ}} \\ \\ z=\frac{2\sqrt{6}sin\theta}{\sqrt{3}/2} \\ \\ z=4\sqrt{2}sin\theta$

By law of sines again:

$\frac{y}{sin45^{\circ}}=\frac{z}{sin\phi} \\ \\ y=\frac{zsin45^{\circ}}{sin\phi} \\ \\ y=\frac{4\sqrt{2}sin\theta \sqrt{2}/2}{sin\phi} \\ \\ \\ Finally: \\ \\ \boxed{y=\frac{4sin\theta}{sin\phi}}$

<h2>Learn more:</h2>

Classification of triangles: brainly.com/question/10379190

#LearnWithBrainly

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3 years ago

Giving brainliest! Which of the following integers are opposites? Select all that apply (Can be more than 1 answer)

emmasim [6.3K]

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3 years ago

Read 2 more answers