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.
The best answer to go with is b
ANSWER:
Let the smallest integer = x
x + x + 1 = 3 ( x + 2 ) - 17
2x + 1 = 3x + 6 - 17
2x - 3x = 6 - 17 - 1
- x = - 12
x = 12
FINAL ANSWER:
Therefore, the smallest integer is 12.
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Answer:
The point 9,50
Step-by-step explanation:
All the other ones are within a reasonable distance of each other.
Answer:
The values of 
and 
are 
and 
, respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
(1)
By definition of the perfect square trinomial:
And by direct comparison we have the following system:
(2)
(3)
By (3), we solve for :
The values of and are and , respectively.
