Then angle MQN is <span>≅ angle MQN</span>
Answer:
40
Step-by-step explanation:
Answer:
se necesitan aprox 50 galones para llenarlo por completo
Answer:
A line in geometry is a straight line that goes on infinitely in two directions. To draw a line, you would draw a straight line and add two small arrows on both ends to indicate that they stretch infinitely. To label a line, you would either label two points on the line, or you can assign a letter to the line. (Example: ↔AB or line A)
A line segment is similar to a line, but it doesn't go infinitely in either direction. To draw a line segment, you would draw two points and connect them. To label a line segment, you would label the two endpoints. (Example: ¯AB)
A ray is a line with one side that extends infinitely. To draw a ray, you would draw a point, draw a line from the point going in any direction, and add an arrow on the other end to indicate that it extends forever. To label a ray, you would label the endpoint and some other point on the ray. (Example: →AB)
An angle is the shape formed by two rays that have a common endpoint. To draw an angle, you would draw an endpoint and make two separate rays coming off of it. Then you would draw a short arc in the space between the rays to indicate that it is an angle. There are three ways to label an angle:
1. Label the vertex (∠A)
2. Label a point on one ray, the endpoint, then a point on the other ray (∠BAC)
3. Label the angle with a number or letter (∠1, ∠A)
If Q is tangent to circle P, that means that it is perpendicular to the radius at the point of tangency. This means that ΔPRQ would be a right triangle. We can use the Pythagorean theorem to solve this.
9² + 12² = (x+9)²
We use x+9 because the unknown segment x would combine with the radius, 9, to give that side of the triangle (the hypotenuse).
81 + 144 = (x+9)(x+9) ---- remember that squared means multiplied by itself
225 = (x+9)(x+9)
Multiply the right hand side:
225 = x² + 9x + 9x + 81
225 = x² + 18x + 81
Subtract 225 from both sides:
225 - 225 = x² + 18x + 81 - 225
0 = x² + 18x - 144
Use the Quadratic Formula to solve:

This gives us

Since -18 - 30 = -48, and a negative number doesn't make sense in this situation, we have
x = (-18+30)/2 = 12/2 = 6.