Answer:
x=57
Step-by-step explanation:
Answer:
a. 26 ft
Step-by-step explanation:
When triangles are similar their sides are proportional
4/8 = h/(44+8)
1/2(52) = h
h = 26
Eva because 3:2 = 9:6 because when they multiply by 3 on each ratio
Answer:
∠A = 45°
Step-by-step explanation:
The sum of angles in a triangle = 180°.
That means in the triangle ABC, ∠A + ∠B + ∠C = 180°.
Given ∠B = 90° and ∠C = 45°.
⇒ ∠A + 90° + 45° = 180°
⇒ ∠A = 180 - 90 - 45
⇒ ∠A = 45° is the required answer.
Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
