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.
Anyone sees the problem? I can’t see it.
Answer:
21 pairs of socks
Step-by-step explanation:
We can find out how much money Chang has to spend on socks by subtracting the price of sneakers from his total money to spend by solving 160 - 95. From that, we get our answer of $65 that Chang has to spend on socks. We can divide 65 by 3 to see how many pairs of socks he can buy and we get our answer of 21 pairs of socks.
(sorry if it's confusing but I hope it helped anyway)
If I remember correctly perpendicular means right angle so I do not think it could be reversed.
