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
Murljashka [212]
3 years ago
7

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options

Mathematics
2 answers:
Mashcka [7]3 years ago
8 0

Answer:

SAS , ASA, SSS

Step-by-step explanation:

SAS , side A= side A . Angle B= Angle C, side R= side R

ASA, Angle A= Angle A . Side B= side C, Angle R= Angle R

SSS

side A= side A . Side B= side c, side R= side R

Leokris [45]3 years ago
7 0

Answer:

<h2>They are congruent by SAS postulate.</h2>

Step-by-step explanation:

Choice for this question are

  • HL
  • SAS
  • SSS
  • ASA
  • AAS

In the image attached, you can observe the pairs of triangles we are talking about. Notice that they are right triangles, which means the congruence postulates we could use are Hypothenuse-Leg, Leg-Leg, Leg-Angle and Hypothenuse Angle, however, this choices are not useful.

We know by given that

AC \cong AB and RC \cong RB

We also know that \angle B \cong \angle C

So, we have two corresponding sides congruent, and the pair of corresponding angle formed by those sides are also congruent.

Therefore, by Side-Angle-Side

\triangle ABR \cong \triangle ACR

So, the right answer is SAS.

You might be interested in
Y = -3x - 2 and 5x + 2y = 15
denis-greek [22]

Answer:

(-19, 55)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -3x - 2

5x + 2y = 15

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     5x + 2(-3x - 2) = 15
  2. Distribute 2:                          5x - 6x - 4 = 15
  3. Combine like terms:            -x - 4 = 15
  4. Isolate <em>x</em> term:                      -x = 19
  5. Isolate <em>x</em>:                               x = -19

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = -3x - 2
  2. Substitute in <em>x</em>:                                     y = -3(-19) - 2
  3. Multiply:                                                y = 57 - 2
  4. Subtract:                                               y = 55
8 0
3 years ago
Given an integer, how do you find it's opposite?
Dimas [21]
Given an integer, how do u find its opposite....

change the sign

example :
2....its opposite is -2
-3...its opposite is 3
5....its opposite is -5
-4...its opposite is 4
6 0
3 years ago
Does the table below represent a function? <br> yes<br> no
Airida [17]
No the table doesn't
5 0
3 years ago
Read 2 more answers
the cost of a school banquet is $95 plus $15 for each person attending. write an equation that gives total cost as a function of
AleksandrR [38]

Im sorry if I misunderstood the problem but heres my take.

Answer:

1155 for the cost of the people and 1250 for the total including the $95

Step-by-step explanation:

Multiply it ( 77 x 15 )

then add the answer to the $95 ( 95 + N )

= $N

8 0
3 years ago
Find x correct to 2 decimal places
irina [24]

Answer:

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • What polyhedron can be formed from a net diagram that had 2 congruent hexagons and 6 congruent rectangles
    7·2 answers
  • What formula would be used to add two cells together after the equal sign?
    7·1 answer
  • Marissa owns 135 shares of stock. Her dividend is $0.50 per share. How many shares can she buy of a different stock selling for
    8·2 answers
  • Please help! Correct answer only please! I need to finish this assignment by today.
    6·2 answers
  • A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out w
    6·1 answer
  • Asif sees a pair of shoes in turkey the shoes cast.
    9·1 answer
  • help pls Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each t
    6·1 answer
  • Simplify the equation: <img src="https://tex.z-dn.net/?f=3%5Csqrt%5B3%5D%7B3%7D" id="TexFormula1" title="3\sqrt[3]{3}" alt="3\sq
    15·1 answer
  • Determine the value of x in the diagram?<br><br> A.32<br> B.10<br> C.20<br> D.16
    10·2 answers
  • Whats the answer can u help me please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!