3 years ago

AB is tangent to circle D. Find the value of x.

Mathematics

1 answer:

Svet_ta [14]3 years ago

6 0

Answer:

c 15

Step-by-step explanation:

Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.

We can use the Pythagoren theorem.

a^2 + b^2 = c^2

x^2 + 20^2 = (x + 10)^2

x^2 + 400 = (x + 10)(x + 10)

x^2 + 400 = x^2 + 10x + 10x + 100

400 = 20x + 100

20x = 300

x = 15

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In the point (3,-2), what is<br> the x-value? Which<br> quadrant is this point<br> located?

natali 33 [55]

Answer:

Step-by-step explanation:

The x-value is 3. Coordinate pairs are labeled as (x, y). In this case, the 3 is in the x position.

The point is located in the 4th quadrant. Quadrant labels move counter-clockwise, from 1 to 4 as shown below. In Quadrant 4, the x-value will always be positive, and the y-value will always be negative. This point has a positive x-value and negative y-value, so it is in this quadrant.