Question

Find the value of x.​

Answer 1

Answer:

Step-by-step 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