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
sergey [27]
3 years ago
12

Triangle ABC has been translated to create triangle A'B'C'. Angles C and C' are both 32 degrees, angles B and B' are both 72 deg

rees, and sides BC and B'C' are both 5 units long. Which postulate or theorem below would prove the two triangles are congruent?

Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0
Δ ABC and Δ A'B'C' are congruent.

Proof: BC = B'C' = 5 units (given)

Angle B = Angle B' = 72° (given)
Angle C = Angle C' = 32° (given)

The 2 tringles are ten equal ASA

Karo-lina-s [1.5K]3 years ago
6 0

Answer:

ΔABC ≅ ΔA'B'C' are congruent by ASA postulate

Step-by-step explanation:

Let's draw ΔABC and ΔA'B'C'

<u>Statement                                                 Reason</u>

i) ∠C = ∠C' = 32°                                            Given

ii) ∠B = ∠B' = 72°                                            Given

iii) BC = B'C' = 5                                              Given

IV) ΔABC ≅ ΔA'B'C'                                        If two angles and the included

                                                                        side of one triangle equal to the

                                                                        corresponding angles and

                                                                        included side of another triangle

                                                                        then the two triangles are

                                                                        congruent. By ASA postulate.

You might be interested in
there are 4 coins. you get a dollar for every head. all four coins are flipped. what is the outcome? what about if you can choos
weqwewe [10]

The outcome for the flip is 2.

Probability:

Probability refer the possibility of the event required.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given,

There are 4 coins.

You get a dollar for every head. all four coins are flipped.

To find the outcome of the flips.

The possible outcomes from the initial flip are:

"4 heads" x 1

"3 heads" x 4

"2 heads" x 6

"1 heads" x 4

"0 heads" x 1

This gives an expected return of

=> (4 + 12 + 12 + 4 + 0)/16 = 2

So, the outcome is 2.

Either if you keep it then you have 2 as outcome of the flips, otherwise if you reflip the coins then you will get the same probability for it also.

To know more about Probability here.

brainly.com/question/11234923

#SPJ4

3 0
1 year ago
Prove: cos(3x)=sin(2x)
Vesnalui [34]

Answer:

Step-by-step explanation:

Step-by-step explanation:

By taking ( x = 18°)

<u>L.H.S</u>

cos(3x)=sin(2x)

cos(3x) = cos( 3X18°)= cos (54°)

            = cos[ 90° - (2x18°)]           ∵[  90°- (2x18°) = 54°]

            = ∴ sin ( 2x18°)

      As (x = 18°)

            = sin (2x) = R.H.S

7 0
2 years ago
What is the domain of the relation {(0,1),(2,4),(3,7),(5,4)}​
Zina [86]

Answer:

(0 2,3,5)

Step-by-step explanation:

Domain is the x factor of every relation

7 0
3 years ago
8/2z=15/60 .solve proportion.
masya89 [10]
\frac{8}{2z}=\frac{15}{60}\ \ \ \ \ |cross\ multiply\\\\2z\cdot15=8\cdot60\\\\30z=480\ \ \ \ |divide\ both\ sides\ by\ 30\\\\\boxed{z=16}
8 0
3 years ago
Read 2 more answers
The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes. The hose at his next-door neighbor's house can fill a
mina [271]

Answer:

The time it would take them to fill 750 gallons

= 200 minutes or 3 hours 20 minutes

Step-by-step explanation:

Step 1 :

We calculate the rate at which the hoses fill for Andre and His neighbor

For Andre

The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.

The rate is calculated as:

5 gallon/2 minutes

= 2.5 gallons/minute

For His neighbor

The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8

minutes.

= 10 gallon/8 minutes

= 1.25 gallon/minute

Step 2

Hence:

If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =

2.5 + 1.25 = 3.75 gallons per minute.

Step 3

The time it would take them to fill 750 gallons =

750 gallons ÷ 3.75 gallons per minute

= 200 minutes

= 3 hours 20 minutes

6 0
2 years ago
Other questions:
  • Which expression is not equivalent to 8 times x times 2 times y
    6·2 answers
  • Yesterday, Chau had m baseball cards. Today, he gave 5 away. Using m , write an expression for the number of cards Chau has left
    7·1 answer
  • I need help on Number 14 in words phrase thank you very much
    10·1 answer
  • Please select the terms, variables, and coefficients.<br> 7h + 3 - t<br> Thank you!
    6·1 answer
  • Ms.Erma's oatmeal recipes calls for 2/5 of a cup of raisins.How many batches of cookies can she make if she has 4/5 cup of raisi
    13·1 answer
  • What is the measure of &lt;7?
    15·1 answer
  • Find m∠LOM for brainliest
    6·1 answer
  • Which are correct representations of the inequality -3(2x - 5) &lt;5(2 - x)? Select two options.
    7·1 answer
  • Someone help me with these ques please<br> -4(2x-6)<br> 7(9x+4)<br> 3(-5x-7<br> 1/2(8x+10)
    15·1 answer
  • Plzzz help<br> As soon as possible
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!