Answer:
B
Step-by-step explanation:
Cube root 1000x^6 = 10x^2
Cube root of - 27 = 3
So the first part of the factorization process is 10x^2 - 3. There is no help here because all of the answers give this binomial as the first factor.
The second factor is (10x^2)^2 + (3)*10x^2 + 3^2)
Expanding you get 100x^4 + 30x^2 + 9
Be very careful when looking at 100x^4 because that is where the answer is found.
It has to be B
Answer:
The value of ∠A is 62° ⇒ c
The value of ∠B is 54°⇒ d
Step-by-step explanation:
<em>In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.</em>
<em />
In Δ ABC
∵ The measure of the exterior angle at the vertex C = 116°
∵ The opposite interior angles to vertex C are ∠A and ∠B
∵ m∠A = (3x - 13)°
∵ m∠B = (2x + 4)°
→ By using the rule above
∴ (3x - 13) + (2x + 4) = 116
→ Add the like terms in the left side
∵ (3x + 2x) + (-13 + 4) = 116
∴ 5x + -9 = 116
∴ 5x - 9 = 116
→ Add 9 to both sides
∵ 5x - 9 + 9 = 116 + 9
∴ 5x = 125
→ Divide both sides by 5
∴ x = 25
→ To find the measures of angle A and B substitute x in their
measures by 25
∵ m∠A = 3(25) - 13 = 75 - 13
∴ m∠A = 62°
∴ The value of ∠A is 62°
∵ m∠B = 2(25) + 4 = 50 + 4
∴ m∠B = 54°
∴ The value of ∠B is 54°
$8.50 minus $14.00 would be -5.5 so the answer is -5.5$
the answer is B. hope this helps.
