Answer:
m∠P′Q′R′ = m∠PQR
Step-by-step explanation:
For this case we must find an expression equivalent to:

According to the unit circle,
is in the third quadrant and equals 210 degrees.
Then, we must find an expression equivalent to:

We have to:

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

Answer:
Option D
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of
.
In
we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let
be 'x' degrees .
So,
⇒ 
⇒ <em>Subtracting 83 from both sides.</em>
⇒ 
⇒ 
⇒
degrees
The measure of angle JKL in the triangle is of 97 degrees.
Answer:
Family will save 3600 gallons of water by replacing the shower-heads.
Step-by-step explanation:
Number of family members in a family = 5
Each member of the family averages shower per day = 8 minutes
Total time for shower = 5×8 = 40 minutes
With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons
Water consumption in 30 days = 200×30 = 6000 gallons per month
After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day
Water used in one month = 80×30 = 2400 gallons
Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons
Therefore, family will use 3600 gallons less water by replacing the water saving water heads.
The answer is 6.4
It is positive because the 11.4 is larger than the negatvie 5.
I hope this helps!