Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
<u />
(Angle Sum Property Of Triangles)
(Remove the brackets)
<u />
<u />
(Group Accordingly)
<u />
<u />
= 
=

= 
= 
= 
= 
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
Answer: #13: Domain = (-∞,∞) Range = (-∞,0]
#14: Domain = (-∞,∞), Range = (-∞,∞)
Step-by-step explanation: The domain is all possible x values for a graph and the range is all possible y values.
Answer:
10.5 hours.
Step-by-step explanation:
Please consider the complete question.
Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Let t represent time taken by newer pump in hours to drain the pool on its own.
So part of pool drained by newer pump in one hour would be
.
We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be
.
Part of pool drained by both pumps working together in one hour would be
.
Now, we will equate the sum of part of pool emptied by both pumps with
and solve for t as:








Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.
Answer: There are 13464 cubic feet in the lake.
Step-by-step explanation:
Since we have given that
Surface area of lake = 748 acres
Average depth of lake = 18 feet
So, Volume of lake would be
Surface area of lake × Average depth

Hence, there are 13464 cubic feet in the lake.
Answer:
-12a - 48
Step-by-step explanation:
you do -6 times 2a which is -12a then you do -6 times 8 which gives you -48 so you put -12a - 48
since the 48 is a negative we would just put a minus sign instead a plus. If it was a positive 48 we would put a plus sign buts its not so we put a negative.