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dimulka [17.4K]
3 years ago
5

Given:

Mathematics
2 answers:
valkas [14]3 years ago
5 0
The correct answer is ASA.

If you look at the steps given in the proof, you will see that are are given two different angles that are congruent. You also have a side that is in between the two angles. Therefore, we have ASA.
Natali5045456 [20]3 years ago
4 0

Answer:- "ASA congruence postulate" is the reason which completes the proof.


Explanation:-

Given:- AD | | BC  and AD = BC

To prove:- ΔADM ≅ΔBCM

Proof:-   Statement         Reason

1.             AD=BC                 [Given]

2.  ∠1=∠3 ; ∠2=∠4   [If lines parallel, then alternate interior angles are equal]

3.             ΔADM ≅ΔBCM   [ASA congruence postulate]

Thus, "ASA congruence postulate" is the reason which completes the proof.

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-6x-14y=-20<br> -3x-7y=-10
Alex Ar [27]
ANSWER:

x = 10 / 3

y = 0

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.

Equation No. 1 -

- 6x - 14y = - 20

Equation No. 2 -

- 3x - 7y = - 10

First, we will make ( x ) the subject in the first equation and simplify accordingly.

Equation No. 1 -

- 6x - 14y = - 20

- 6x = - 20 + 14y

x = ( - 20 + 14y ) / - 6

x = ( - 10 + 7y ) / - 3

From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.

Equation No. 2 -

- 3x - 7y = - 10

- 7y = - 10 + 3x

- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]

- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]

- 7y = - 10 + ( 10 - 7y )

- 7y = - 7y

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0y = 0

y = 0

Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.

x = ( - 10 + 7y ) / - 3

x = [ - 10 + 7 ( 0 ) ] / - 3

x = [ - 10 + 0 ] / - 3

x = - 10 / - 3

x = 10 / 3
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3 years ago
Match the sequence (term) with the correct type of sequence (definition).
lesya692 [45]

128, 32, 8, 2 is B

1, 3, 9, 27 is D

5, 10, 15, 20 is C

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3*3=9...

5+5=10

10+5=15...

20-3=17

17-3=14...

7 0
3 years ago
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