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
Vlada [557]
3 years ago
12

Assume the following triangles are similar. Find the scale factor and the lengths of the missing sides.

Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Answer:

If two figures are similar, then the correspondent sides are related by a constant factor.

For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.

Let's start with the two left triangles.

In the smaller one the base is 5, and the base of the other triangle is 15.

Then we will have:

15 = k*5

15/5 = k = 3

The scale factor is 3.

Then we will have that:

a = scale factor times the correspondent side in the smaller triangle:

a = k*3 = 3*3 = 9

a = 9

For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.

Then we will have the relation:

12*k = 20

k = (20/12) = 10/6 = 5/3

The scale factor is 5/3

This means that the unknown side b is given by:

b*(5/3) = 15

b = (3/5)*15 = 3*3 = 9

b = 9.

You might be interested in
Ayyyy ayudaa <br> ~conversión de fracciones y decimales ~
Ira Lisetskai [31]

oh thats easy it is hi

7 0
2 years ago
Hi can someone please help me with this question
olga2289 [7]

Answer: B. 3x + 1/5

tom's pencil is longer than Ellen's pencil:

5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
HURRY PLSSSSSS HELPPP
Jlenok [28]

Answer: its A, B, and D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An example of dependent events is drawing a green marble out of one jar and then drawing a....?
gayaneshka [121]
Dependent events involve a first event that affects the outcome of a second event. This means that the probability for the second event has changed because of the occurrence of the first event. This is usually present in probabilities without replacement because each event has a different condition. The answer is <span>C)red marble out of the same jar,without replacing the first marble.</span>
4 0
3 years ago
Hi, want to be my friend?
vivado [14]

Answer:

yeah sure

Step-by-step explanation:

because I'm friendly

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of y.
    7·1 answer
  • What times what is 14
    11·2 answers
  • 9 gallons per second equals how many quarts per minute
    9·1 answer
  • Choose the correct absolute value inequality and graph for the solution -1.2≤x≤2
    14·1 answer
  • Y+4x=10x-6 solve for x
    7·2 answers
  • What is the area of this composite figure?
    5·2 answers
  • What are the sine, cosine, and tangent?
    12·1 answer
  • I NEED HELP! You throw a ball from an initial height of 6 feet and with an initial velocity of 46 feet per second. Write an equa
    15·1 answer
  • BRAINLIEST ON THE LINE INFO IN PHOTO BELOW
    11·1 answer
  • Simplify the expression: 4(-4+n) =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!