Answer:
the smiths family has 2 choices to make , color and style, By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices .2 colors and 4 styles ,4 colors and 2 styles , or 8 colors and 1 style.
Step-by-step explanation:
I just answered the question
Answer:
This can be true if n=0
Step-by-step explanation:
9n = 0
Divide each side by 9
9n/9 = 0/9
n=0
This can be true if n=0
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>
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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:
It opens to the right and the vertex is at (0, -8).
The axis of symmetry is y = -8.
Step-by-step explanation:
The vertex is halfway between the directrix and the focus.
The focus is to the right of the directrix so the curve will open towards the right. The axis of symmetry is the line y = -8.
