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°
Answer:
Given:
f(x) = 2x² + 3
g(x) = x² - 7
To Find:
(f - g)(x)
Step-by-step explanation:
(f -g)(x) = f(x) - g(x)
= (2x² + 3) - (x² - 7)
= 2x² + 3 - x² + 7
= 2x² - x² + 3 + 7
= x² + 3 + 7
= x² + 10
( 1000 )^1/3
= ( 10 ^3 )^ 1/3
= ( 10 ) ^ 3 × 1/3
= 10
I hope this will useful to you.
Given two numbers 0.67 and 0.6, the difference between the two is 0.07.
This implies that 0.67 > 0.6
