Question

Find the value of x.​

Answer 1

Explanation:

For #1, use the rule for chords in circles. 12x = 10(15) so 12x = 150 and x = 12.5

For #3, use
`6^2=5(5+x)` so 36 = 25 + 5x and 11 = 5x. That means that x = 11/5

For #5, use the fact that when an exterior line meets the radius of a circle at a point on the circle, a right angle is formed. The means that x is the base of the right triangle, 5 is the height of the triangle, and 13 is the length of the hypotenuse. To solve for x, use Pythagorean's theorem:

`13^2=5^2+x^2` and

`169=25+x^2` and

`144=x^2` so

x = 12