2 important fact to know about vertical angles:
• they’re always opposite of each other
• they’re always congruent (equal to each other)

Your answer will be:
C - ∠BEA and ∠DEF

5 0

3 years ago

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The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t

Stolb23 [73]

Answer: The answer is 28%.

Step-by-step explanation: Given that the volume of construction work was increased by 60% and the productivity of labour increased by 25% only. We are to find the percentage by which the number of workers must increase to complete the in time.

Let 'V' be the volume of construction work, 'p' be the productivity of labour, 'n' be the number of workers, and 'x' be the percentage by which the number of workers must increase.

According to the question, we have

$V=r\times n,\\\\\dfrac{8}{5}V=\dfrac{5}{4}r\times n(1+x).$

Dividing the second equation by the first equation, we have

$\dfrac{\frac{8}{5}V}{V}=\dfrac{\frac{5}{4}nr(1+x)}{nr}\\\\\Rightarrow \dfrac{8}{5}=\dfrac{5}{4}(1+x)\\\\\Rightarrow 1+x=\dfrac{32}{25}\\\\\Rightarrow x=\dfrac{7}{25}=0.28.$ .

Thus, the required percentage of workers that must increase in order to complete the work in time as scheduled originally is 28%.

5 0

3 years ago

Reuben and Susan each opened a savings account today. Reuben opened his account with a starting amount of 320, and he is going t

navik [9.2K]

X represents the amount of money added in

320+85x=820+35x

3 0

2 years ago

An investmeant of $200 increases at a rate of 9.5% per year. what is the growth factor, b?

BlackZzzverrR [31]

9.5 percent but in the equation you would add 1

8 0

3 years ago

WILL GIVE BRAINLIEST!!!!!solve for y, y=3x-2​

WILL GIVE BRAINLIEST!!!!!solve for y, y=3x-2