Answer:
125° and 55°
Step-by-step explanation:
∠ BCE and ∠ ECF are adjacent angles and are supplementary, thus
10x + 15 + 5x = 180, that is
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
Thus
∠ BCE = 10x + 15 = 10(11) + 15 = 110 + 15 = 125°
∠ ECF = 5x = 5(11) = 55°
Answer:
40
Step-by-step explanation:
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .
Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:
n α t
=> n = kt
where k = constant of proportionality
She can make 4 baskets in every 1/2 hour.
This means that:
4 = k * 1/2
=> k = 4 * 2 = 8 baskets per hour
The time is now 5 hours (t = 5). Therefore:
n = 8 * 5 = 40 baskets
She can make 40 baskets in 5 hours.
Answer:
<u>2x⁵ + x⁴ - x³ + 6x² + 3x - 3</u>
Step-by-step explanation:
Given :
- f(x) = x³ + 3
- g(x) = 2x² + x - 1
Finding (f × g)(x) :
- f(x) × g(x)
- (x³ + 3)(2x² + x - 1)
- 2x⁵ + 6x² + x⁴ + 3x - x³ - 3
- <u>2x⁵ + x⁴ - x³ + 6x² + 3x - 3</u>
Answer:
15
Step-by-step explanation: Because the absoulute value of 8 is 8 then the absoultue value of 7 is 7. Then add them together it equals 15 :)