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
Alex Ar [27]
3 years ago
5

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

Mathematics
2 answers:
sergejj [24]3 years ago
4 0

Answer:

1. HL

2. SAS

3. SSS

Step-by-step explanation:

Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).

Angles ABR and ACR are right angles.

Sides AB and AC are congruent.

Sides BR and CR are congruent.

1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.

2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.

3. You can use SSS theorem, because two triangles have two pairs of congruent legs and  congruent hypotenuses.

bixtya [17]3 years ago
3 0

Answer

1. HL

2. SAS

3. SSS

Step-by-step explanation:

just took the test aced it

You might be interested in
Follow the directions to solve the system of equations by elimination. 8x + 7y=39 4x – 14y = -68​
harina [27]

Step-by-step explanation:

Hey there!

Here;

The equations are;

8x + 7y = 39.......(i)

4x - 14y =  - 68..........(ii)

Multiplying equation (i) by 2.

16x + 14y = 78

<u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>1</u><u>4</u><u>y</u><u> </u><u> </u><u> </u><u>=</u><u> </u><u>-68</u>

20x = 10

x =  \frac{10}{20}

x = 1/2.

Putting value of 'x' in equation (i).

8 \times  \frac{1}{2}  + 7y =  39

4 + 7y = 39

7y = 3 9 - 4

y =  \frac{35}{7}

Therefore the value of y is 5.

<u>Check</u><u>:</u>

<u>Put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u><u> </u><u>in</u><u> </u><u>equation</u><u> </u><u>(</u><u>i</u><u>)</u><u>.</u>

8x + 7y = 39

8 \times  \frac{1}{2}  + 7 \times 5 = 39

4 + 35 = 39

39 = 39

(True).

<u>Therefore</u><u>, </u><u>the</u><u> </u><u>solution</u><u> </u><u>is</u><u> </u><u>;</u><u> </u><u>(</u><u>1</u><u>/</u><u>2</u><u>,</u><u>5</u><u>)</u><u>.</u>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
Alik [6]

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

6 0
2 years ago
Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?
Norma-Jean [14]

Answer:

5:36

Step-by-step explanation:

12 inches = 1 foot, so 6 feet = 72 inches

10:72, reduces to 5:36

4 0
2 years ago
ABC is dilated by a scale factor of 3 with the origin as the center of dilation, resulting in the image A'B'C'. If the slope of
uysha [10]

Answer:

The slope of A'B' = -1.2 ⇒ answer A

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the center of the dilation is the origin then multiply each coordinate

 by the scale factor

* In the problem

∵ Δ ABC is dilated by a scale factor of 3 with the origin as the center

  of dilation

- Let point A is (a , b) and point B is (c , d)

∵ The slope of the line which passes through points (x1 , y1) and (x2 , y2)

  is m = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (d - b)/(c - a) = -1.2

∵ Point A' is (3a , 3b) and point B' is (3c , 3d)

∴ The slope of A'B' = (3d - 3b)/(3c - 3a)

- Take 3 as a common factor from up and down

∴ The slope of A'B' = 3(d - b)/3(c - a) ⇒ cancel 3 up with 3 down

∴ The slope of A'B' = (d - b)/(c - a) = the slope of AB

∵ The slope of AB = -1.2

∴ The slope of A'B' = -1.2

* The slope of A'B' = -1.2

3 0
2 years ago
James Ran 1/4 of a mile in the morning and then ran 2/8 of a mile that evening what was the distance James ran
Setler79 [48]

Answer:

1/2

Step-by-step explanation:

1/4=2/8

2/8+2/8=4/8=1/2

4 0
3 years ago
Other questions:
  • A soccer goalie can block 3/5 of the opposing team's shots. Suppose there are 20 attempted blocks in a soccer game. Which can be
    10·1 answer
  • How many 1/5 cup serving are in 5 cups of pecans
    9·2 answers
  • The height of a box is 3 inches. The length is three inches more than the width. Find the width if the volume is 390. Select one
    7·1 answer
  • Solve the problem.
    12·1 answer
  • ∠ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28°, minor arc AB = 112°, and minor arc DE = 1
    8·1 answer
  • Thomas earns extra money babysitting. He charges 45.50 for 5 hours and 72.80 for 8 hours. How much will thomas charge for 3 hour
    10·1 answer
  • Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make
    13·2 answers
  • An art collage includes a red paper triangle with one side length of 3.4 inches and a second side length of 8.1 inches.
    15·1 answer
  • Slopes please help !!
    9·1 answer
  • Your friend has $100 when he goes to the fair.he spends $10 to enter the fair and $20 on food.rides at the fair cost $2 per ride
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!