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2 years ago

Interior and Exterior Triangle Angles please help asap !!!!

Mathematics

1 answer:

Fiesta28 [93]2 years ago

8 0

Answer:

∠ WUV = 36°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ VWX is an exterior angle of the triangle, thus

8x - 18 = 2x + 8 + 3x + 16

8x - 18 = 5x + 24 ( subtract 5x from both sides )

3x - 18 = 24 ( add 18 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Thus

∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°

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vlabodo [156]

Answer:

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2 years ago

I NEED HELP LOL<br><br> What is the value of g(-4)?

Elena L [17]

Answer:

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2 years ago

Someone please help.

umka21 [38]

Let's go:

$\frac{y}{3} = \frac{27}{y} \\\\ y^2 = 27.3 \\\ y^2 = 81 \\\ y = \sqrt{81} \\\ y = 9$

I hope I helped you.

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2 years ago

The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27

Naddik [55]

ANSWER
$3\pi sq.\: in.$

EXPLANATION

Let R be the radius of the bigger circle and r, be the radius of the smaller circle.

Then their ratio is given as,

$R:r=3:1$

We can rewrite it as fractions to get,

$\frac{R}{r} = \frac{3}{1}$

We make R the subject to get,

$R = 3r$

The area of the bigger circle can be found using the formula,

$Area=\pi {r}^{2}$

This implies that,

$Area=\pi ({3r})^{2}$

$Area=9\pi {r}^{2}$

But it was given in the question that, the area of the bigger circle is 27π.

$27\pi=9\pi {r}^{2}$

We divide through by 9π to get,

$3 = {r}^{2}$

This means that,
$r = \sqrt{3}$

The area of the smaller circle is therefore

$= \pi {( \sqrt{3}) }^{2}$

$= 3\pi$

8 0

3 years ago

Read 2 more answers

How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes

vaieri [72.5K]

36 ÷ 3 = 12
12 x 30 = 360 (mins)

The answer is that it would take you 360 minutes to ski a distance of 36 miles.
or you could say: t would take you 6 hours to ski a distance of 36 miles.

7 0

3 years ago