All categories

2 years ago

An inscribed angle in a circle intercepts an arc whose measure is greater than 180

Mathematics

1 answer:

never [62]2 years ago

4 0

Answer:

The correct option is;

Never acute

Step-by-step explanation:

When an angle intercepts an ark, we have;

The legs of the angle meets with the endpoints of the arc

Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle

By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle

You might be interested in

What is an equivalent fraction for 3:11

Dmitry [639]

Answer:

$\frac{3}{11}$

Step-by-step explanation:

When you have something like that, just think that the first number goes on top and the second number goes on bottom.

8 0

2 years ago

Find all the real square roots of 0.0016.

Hatshy [7]

Hello: here is a solution

6 0

2 years ago

Which of these represents slope-intercept form?

Alexxandr [17]

Answer:

Y=mx+b

Step-by-step explanation:

mx = slope

b = intercept (the place where the line hits the y axis)

6 0

2 years ago

Read 2 more answers

(2p^3 · 2p)^2<br> HELLO I NEED HELP

kotykmax [81]

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2 We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

4 0

2 years ago

Discrete Math - Find X

Snezhnost [94]

Answer:

x = 70°

Step-by-step explanation:

Clockwise from top, call the three tangent points A, B, and C. Central angle AXC is the supplement of the marked external angle, so is 140°. Arc AB is bisected by the upper ray of angle x; and arc BC is bisected by the lower ray of angle x. That is to say x is half the measure of arc AC, so is 70°.

Attached is the output of a geometry program. The angle at lower left is 40° as in the given figure. The central angle α (70°) remains the same as tangent point C is moved around, which is to say that the measure of the angle α does not depend on the dimensions of the triangle containing α. It just depends on the fact that the triangle is tangent to the circle.

3 0

2 years ago