Answer:
∠B = 17°
Step-by-step explanation:
Vertical angles are congruent, thus
5x + 7 = x + 15 ( subtract x from both sides )
4x + 7 = 15 ( subtract 7 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Hence
∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°
sixth person work per week=47 hours
Average:
The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set
Given :
the number of hours worked per week for five of her employees is
30, 30, 38, 35, and 30.
the average work of 6 employees is 35 hours per week
Solution :
Let, Total work per week= S
sixth person work per week=x
Total work per week= Number of people x average working hour
S= 35(6) = 210..(1)
S = 30+30+38+35+30+x
S= 163+x..(2)
By equation 1 and equation 2
210= 163+x
210-163=x
47=x
sixth person work per week=47 hours
More details:brainly.com/question/2906096
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A
(X-7)(x-4) -> x^2 -11x + 28
Multiply that by the 2 and you get the original equation!
The general formula for the lateral surface area of a right prism is
L = ph
where p represents the perimeter of the base and h represents the height of the prism.
In our case, the perimeter is the sum of the bases.
p = 5 + 5.6 + 2.5 = 13.1 cm
now, the height of the prism is 8 cm
then L = 13.1 cm x 8 cm = 104.8cm^2
