To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.
Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).
Corresponding pairs:
LM(x) : UT(39)
MV(30) : TK(65)
VL : KU
However, we need only be interested in the first two pairs. Here is the proportion with letters:
LM / UT = MV / TK
and as numbers:
x / 39 = 30 / 65
Solve for x:
x / 39 = 30 / 65
Cross multiply:
(x)(65) = (39)(30)
Simplify:
65x = 1170
Divide:
65x/65 = 1170 / 65
Simplify:
x = 18
<h2>Answer:</h2>
The length of side LM (x) in triangle LMV is 18 units.
you divide 72 by 2 to get r by itself and get 36
so r=36
Answer:
6 days
Step-by-step explanation:
1/9 of an order takes 2/3 days
1 order takes 2/3 * 9
= 18/3
= 6 days answer
Answer:
a) y = -500x + 130,000
b)67,500 gallons remaining
c) 260 hours
Step-by-step explanation:
Since water is being removed at a rate of 500 gallons per hour, the slope would be a negative.
a) y = -500x + 130,000
For<u> part b</u> input 125 for x:
y = -500(125) + 130,000
y = 67,500
There are 67,500 gallons remaining
For part c we are solving for the x intercept
0 = -500x + 130,000
Subtract 130,000 from both sides
-130,000 = -500x
x = 260
It will take 260 hours for the pool to completely drain
Find the distances of each plane for the 4 hours, then use the law of cosine.
See attached picture:
