1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tresset_1 [31]
3 years ago
11

In the figure LMV is similar to UTK. what's the value of x the length of side LM?​

Mathematics
1 answer:
Kipish [7]3 years ago
7 0

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 might be interested in
For the given equation, find the values of a, b, and c, determine the direction in which
Shkiper50 [21]

Answer: Table D

Step-by-step explanation:

The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.

  • This eliminates tables A, B, and C.

Thus, table D is the answer.

7 0
2 years ago
Help me, cause I'm tuck
r-ruslan [8.4K]

Answer:

The answer would be 1.33 x 10^{4}

Step-by-step

1.28 x 10^{4} = 12800

5 x 10^{2} = 500

12800 + 500 = 13300

13300 = 1.33 x 10^{4} in scientific notation

Hope this helps:)

Sorry, I got the wrong answer earlier but I fixed it:)

8 0
3 years ago
Solve the inequality for w. w-7&lt;21
Radda [10]
Add 7 to each side of the inequality.

w < 28.
8 0
3 years ago
Figure A is a scale image of Figure B. What is the value of x?
kari74 [83]
The value of x is 72

Each side increased by 20%
8 0
2 years ago
6(2+y) = 3(3-y)<br><br><br> How do I solve this equation?
goldfiish [28.3K]

Step-by-step explanation:

6(2+y) = 3(3-y)

=>12+6y= 9-3y

=>6y+3y = 9-12

=>9y= -3

=> y = -1/3

8 0
3 years ago
Other questions:
  • What is the value of the geometric sequence for which a1=10 and r=0.5?
    14·1 answer
  • In the pattern below, what is the value of X? 800, 100, 25/2, 25/16, x, 25/1024 A: 25/32 B: 25/30 C: 25/504 D: 25/128
    9·1 answer
  • (3 points)
    7·1 answer
  • Which term best describes two events in which knowledge of one event has no effect on the probability of the other event?
    15·1 answer
  • Answer to -5 (×-6)+4 &lt;9
    10·1 answer
  • The prime factorization of 56
    5·1 answer
  • A team of seven workers started a job, which can be done in 11 days. On the morning of the fourth day, several people left the t
    10·1 answer
  • Find two integers whose sum is 10 and product is 9
    12·1 answer
  • Find the slope from the table.
    10·1 answer
  • George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!