In the figure lmv is similar to utk. what's the value of x the length of side lm?

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

The length of side LM (x) in triangle LMV is 18 units.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

the answer is 1/4

step-by-step explanation: