Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Hello!

A triangle is 180 degrees, and you are given one of the angles, which is ∠P = 26 degrees.

Angle Q is a right angle, and this triangle is therefore a right triangle, so one angle has to be 90 degrees, and the other two angles are acute.

So we can create a simple equation:

m∠P + m∠Q + m∠x = 180 degrees

26 + 90 + m∠x = 180

116 + m∠x = 180

-116 - 116

m∠x = 64 degrees.

The measure of angle x is equal to 64 degrees, which is the fourth choice.

You might be interested in

I'm really not sure how to go about solving this algebraic equation, please help! .513 = (2x)^2 / (.05-x)

LiRa [457]

Let's set it up like this:
$0.513=\frac{\left(2x\right)^2}{\left(0.05-x\right)}$
Multiply both sides by $0.05-x$
$0.513\left(0.05-x\right)=\frac{\left(2x\right)^2}{0.05-x}\left(0.05-x\right)$
$0.513\left(0.05-x\right)=4x^2$
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
$x=-\frac{0.513+\sqrt{0.673569}}{8},\:x=\frac{\sqrt{0.673569}-0.513}{8}$
The variable $x$ can be both positive or negative.
We have found successfully our answer.

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />

4 0

2 years ago

What is the ratio of our solar system's radius to the Milky Way's radius given that the distance from Pluto to the sun is 5.9 *

kherson [118]

Answer:

Just divide the sun-pluto distance by the milky way radius and you get the following ratio:

6.6 x 10^7 : 1

7 0

2 years ago

Convert the improper fraction to a mixed number

alex41 [277]

1) 10 3/10
3) 2 1/2
4) 10 2/3
6) 6 1/2
7) 4 3/4
9) 1 8/9
10) 1 5/6