What angle is created by a tangent line and the radius of a circle at the point of tangency

Right angles is created by tangent line and radius of circle.

Step-by-step explanation:

A line that cuts a circle at only one point is known as tangent and the point where it cuts the circle is known as point of tangency.

Point of tangency is on tangent and circle both.

So, line from center to point of tangency is radius which is smaller than all other lines from center to point on tangent.

⇒ tangent is always perpendicular to the radius drawn to the point of tangency.  

Therefore, Right angles is created by tangent line and radius of circle.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15