Assuming that CB is tangent, this is just a right triangle with a hypotenuse of 20 and a side of 12 so by the Pythagorean Theorem:
20^2=12^2+x^2
400=144+x^2
x^2=400-144
x^2=256
x=16
Answer:
Step-by-step explanation:
<u>The ratio of corresponding sides of similar figures is same:</u>
- 3x/20 = (4x + 2)/(20 + 8)
- 3x/20 = (2x + 1) / 14
- 3x(14) = (2x + 1)(20)
- 42x = 40x + 20
- 2x = 20
- x = 10
Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)