Answer:
20
Step-by-step explanation:
Since the line of length 16 is a tangent to the circle, then the angle between it and the radius is right.
? is the hypotenuse of the right triangle formed.
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
? = 
= 20
The equation used to find the missing lengths:
9 = __SR (5^2 + x^2)__
As long as it is a right triangle, this is called the Pythagorean Theorem
** FYI- if you wanted to SOLVE FOR THE MISSING SIDE X, then just switch around the original equation solving in terms of x:
SAS, SSS, SSA all prove the congruency of the two triangles.
Answer:
1/6
Step-by-step explanation:
The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.
2/3 x 6 = 4
So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.
The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.
(2/3)/(1/6) = 4
