2|3x + 5| = -10 . Divide both sides by 2:
|3x + 5| = -5 ===>3x+5=-5 & -3x-5=-5 In both cases x=0
Answer:
The proof is below
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of a parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
Ok so we start with 80 books and remove 50% so 40
2/5 of 40 is 16
16 books
If 3 people take the day off, they will need (9 + 3/5) hours to mow the lawn. The correct option is B.
<h3>
How many hours will it take to mow the lawn?</h3>
Let's say that each person works at a rate R.
8 people can mow the lawn in 6 hours, then we can write:
(8*R)*6 hours = 1 lawn.
Solving for R:
R = (1/48 lawns per hour).
If 3 people take the day off, then the lawn is mowed by 5 people in a time T, then we need to solve:
(5*R)*T = 1 lawn.
Replacing the value of R:
(5/48 lawns per hour)*T = 1 lawn.
Then we have:
T = (48/5) hours.
We can rewrite that as:
T = (45/5 + 3/5) hours
T = 9 + 3/5 hours.
Then we conclude that the correct option is B.
If you want to learn more about rates:
brainly.com/question/8728504
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Answer:
C-about 84%
Step-by-step explanation:
We are given that,
Total number of population, n = 25
Number of people who prefer to read a digital copy = 4
Number of people who prefer to read a hard copy = 21
It is required to find out the percent of population who prefer to read hard copy.
So, we have,
Percent of population preferring hard copy = 
i.e. Percent of population preferring hard copy = 
i.e. Percent of population preferring hard copy = 0.84 × 100 = 84%
Thus, the percent of population who prefers to read a hard copy are about 84%.
