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2 years ago

Find the measure of the indicated arc

Mathematics

1 answer:

natali 33 [55]2 years ago

7 0

Answer:

m $\widehat{WXY}$ is 224°

Step-by-step explanation:

From the figure, we have;

The angle subtended at the circumference, by the arc mWXY, C = 112°

The angle subtended at the center = m $\widehat{WXY}$

By circle theory, we have;

The angle subtended at the center = 2 × The angle subtended at the circumference

∴ m $\widehat{WXY}$ = 2 × 112° = 224°

m $\widehat{WXY}$ = 224°.

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Do the points A(1,3) B(4,2) C(-2,4) lie on the same line? Explain your answer. Show all work.

Jet001 [13]

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Further explanation:

There are two methods to find if the given points are on same line

The slope method: If the points are on same line the slopes of two pairs of points will be same
Area of triangle method

Given points are:

A(1,3) B(4,2) C(-2,4)

We will find the slope of AB, BC, and AC

So,

$m=\frac{y_2-y_1}{x_2-x_1}$

$Slope\ of\ AB=\frac{2-3}{4-1} \\=-\frac{1}{3}$

$Slope\ of\ BC=\frac{4-2}{-2-4}\\ =\frac{2}{-6}\\=-\frac{1}{3}$

$Slope\ of\ AC= \frac{4-3}{-2-1} \\=-\frac{1}{3}$

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Keywords: Slope, Co linear points

Learn more about slope at:

#LearnwithBrainly

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3 years ago

If you can buy 1/3 of a box of chocolates for 6 dollars how much can you purchase for 4 dollars?

sladkih [1.3K]

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2 years ago

The rectangle shown has a perimeter of 84 cm and the given area. Its length is 6 more than 5 times its width. Write and solve a

inysia [295]

The answer is that the Width is equal to 10 and the length is equal to 36

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2 years ago

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Crank

Answer:

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Step-by-step explanation:

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ch4aika [34]

Answer:

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Step-by-step explanation:

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2 years ago