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3 years ago

What is the value of Enter your answer in the box.

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer:

x=40

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+102+38 = 180

Combine like terms

x + 140 = 180

Subtract 140 from each side

x+140-140 = 180-140

x = 40

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What is the solution to the equation? 1/2n + 3 = 6

yawa3891 [41]

Answer:

n = 6

Step-by-step explanation:

1/2n + 3 = 6

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2 years ago

2 b) the urcumference circle=2tr. What is the diametly = 20km? T = 3.14 (3)

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3 years ago

What is the length of BD?

I am Lyosha [343]

Answer:

$10\sqrt{3}$

Step-by-step explanation:

Trigonometric Ratios

This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.

Selecting the angle of 60° in triangle ABD:

Sine Ratio

$\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 60^\circ=\frac{BD}{20}$

Solving for BD:

$\displaystyle BD=20\sin 60^\circ$

Since

$\sin 60^\circ=\frac{\sqrt{3}}{2}$

$\displaystyle BD=20\frac{\sqrt{3}}{2}$

Simplifying:

$\boxed{\displaystyle BD=10\sqrt{3}}$

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2 years ago

To the nearest degree what is the measure of each exterior angle of a regular dodecagon

malfutka [58]

Answer:

$30^{\circ}$

Step-by-step explanation:

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that a regular dodecagon is a 12 sided regular polygon with each side equal.

We know that measure of each angle of n-sided regular polygon can be found using formula:

$\text{Each exterior angle}=\frac{360^{\circ}}{n}$

Upon substituting $n=12$ in above formula, we will get:

$\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}$

$\text{Each exterior angle of a regular dodecagon}=30^{\circ}$

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

3 0

3 years ago