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
Iteru [2.4K]
3 years ago
6

Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

<h3>The SSS Similarity Theorem</h3>

Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.

If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.

Therefore, using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, the sides of each triangle is found.

Therefore, it shows that:

AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5

Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).

Learn more about the SSS similarity theorem on:

brainly.com/question/4163594

You might be interested in
Hank the handy man charges a flat fee of $75 per visit, plus $45 per hour or fracrion of an hour
Taya2010 [7]
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - </h3>

➷ Hank charges $75 for a visit plus $45 per hour.

Therefore, for an hour, Hank would charge $120 as 75 + 45 = 120

Mr Fixit:

As it is for one hour, we look at the first function because the time is 'less than or equal to an hour'.

Mr Fixit would charge $95 for an hour.

Therefore, Hank charges $25 more than Mr Fixit.

➶Hope This Helps You!

➶Good Luck :)

➶Have A Great Day ^-^

↬ Hannah ♡

4 0
3 years ago
Read 2 more answers
Find the equation of a line parallel to x = 7 and passing through the point (2, -5)
photoshop1234 [79]
The answer is:  " x = 2 " .
____________________________________
5 0
3 years ago
100 POINTS!!!! PLEASE HELP ASAP!!! EXPLANATION WOULD BE GREATLY APPRECIATED!
Dmitrij [34]

Answer:

1) B- Substitution

2) C- Elimination

3) A- Graphing

Step-by-step explanation:

1)

x+3y=7

5x+11y=3

x = 7 - 3y

Plug this x into the second equation and solve for y first

2)

5x-3y=3 --> (1)

2x+7y=6 --> (2)

Since making any variable the subject would involve fractions, it's better to go for elimination

7(1) + 3(2)

would eliminate y

3)

While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front

5 0
3 years ago
Which number line shows an integer and its opposite?
emmasim [6.3K]

Answer:

B

Step-by-step explanation:

An integer is a whole number (not including 0).  An integer's opposite can be found by adding a negative sign to the front of it.  A negative integer's opposite would be positive, while a positive integer's opposite would be negative.  

7 0
2 years ago
What is the value of y?<br><br>A. Cannot be determined<br>B. 65°<br>C. 60°<br>D. 120°​
vlabodo [156]

Answer:

C. 60°

Step-by-step explanation:

The angles in a triangle add up to 180°.

You are given 60° and 60°.

Add them

60 + 60 = 120

Subtract 120 from 180.

180 - 120 = 60°

8 0
3 years ago
Other questions:
  • Please explain how I find the "product" of 21.33 and 2.04?
    15·2 answers
  • Determine if each table shown below represents a function or not ?
    13·2 answers
  • What is the value of sinθ given that (5, −12) is a point on the terminal side of θ ?
    9·2 answers
  • A resturant sells 10 tacos for 8.49,or 6 of the same kind of taco for 5.40.Which is a better deal
    15·1 answer
  • What is the answer 12 x 12
    13·2 answers
  • Explain the steps to solve (3+15)+ 25-10X3.
    12·1 answer
  • Ms. Hannah goes bowing with her friends. The bowing shoe rental for the group costs $22. Each game the group bows costs $7 25.
    11·1 answer
  • So if a shark bites you do you bite it back. and what hit you in the face last night addicted ​
    5·2 answers
  • Andre wants to run ten miles in three days. He ran 2.5 miles on Monday and 4.4 miles on Tuesday. How many miles does Andre need
    6·1 answer
  • Find the values of P for which the quadratic equation 4x²+px+3=0?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!