Answer:
x=6
Step-by-step explanation:
2(3x+4)=5x+3x-4
combine all like terms and distribute
6x+8=8x-4
-8 -8
6x= 8x-12
-8x -8x
-2x= -12
x= 6
<span>The volume of a rectangular prism = its base area * height
substitute:
</span>
x3 – 3x2 + 5x – 3 =<span> (x2 – 2) * h
h=</span> (x3 – 3x2 + 5x – 3)/<span>(x2 – 2)
so you can use the long division</span>
Answer:
c
Step-by-step explanation:
its c
<h3>
Answer: 28 degrees</h3>
========================================================
Explanation:
Angle DAB and angle ABC are congruent angles due to the parallel lines (note they are alternate interior angles).
So angle DAB = 47 since angle ABC = 47.
Let angle CAE be equal to x for now.
The three angles DAB, CAB, and CAE all add up and combine to form a straight angle which is 180 degrees.
We'll use this fact to find x
(angle DAB) + (angle CAB) + (angle CAE) = 180
(47) + (105) + (x) = 180
x + 152 = 180
x + 152-152 = 180-152 .... subtract 152 from both sides
x = 28
angle CAE = 28 degrees
Answer: 21 water stations
Step-by-step explanation:
From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.
To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:
= 26.2miles/1 1/4 miles
= 26.2 miles/1.25 miles
= 20.96
= 21 water stations
