Answer:
x = 16
Step-by-step explanation:
Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
11x = 8(6 + x) ← distribute
11x = 48 + 8x ( subtract 8x from both sides )
3x = 48 ( divide both sides by 3 )
x = 16
3+5+7 = 15 total marbles
3 are red
so she has a 3/15 reduces to 1/5 probability of picking a red one
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
Answer:
C. 40π cm²
Explanation:
• The central angle of the sector = 225 degrees
,
• The radius of the sector = 8cm
For a sector of radius r and central angle θ, we calculate the area using the formula below:

Substituting the given values, we have:

The area of the sector is 40π cm².