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3 years ago

Find the measure of the indicated arc

Mathematics

1 answer:

Yanka [14]3 years ago

4 0

Answer:

m(arc WXY) = 224°

Step-by-step explanation:

By inscribed angle theorem,,

"Measure of intercepted arc is double of the inscribed angle"

m(arc WXY) = 2[m(∠YCW)]

Here, arc WXY is the intercepted arc and ∠YCW is the inscribed angle.

By substituting the value of inscribed angle,

m(arc WXY) = 2(112°)

= 224°

Therefore, measure of arc WXY is 224°.

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Read 2 more answers

The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.

Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

Let the length of the rectangle be L.
Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W ...... equation 1

Given the following data;

Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

Perimeter, P = 112 meters

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