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RoseWind [281]
2 years ago
14

Match the reasons with the statements in the proof.

Mathematics
2 answers:
Lady_Fox [76]2 years ago
6 0

Answer:

 

Step-by-step explanation:

Given: c is parallel to d and ∠4=∠5.

To prove: ∠7=∠8

Proof:

Statement                                                Reason

1. c║d, ∠4=∠5                                           Given

2.∠4=∠7                                    If lines ||, alternate interior angles are equal.

3.∠5=∠8                                             Vertical angles are equal

Since, ∠4=∠5, therefore ∠7=∠8

4.∠7=∠8                                               Substitution

notsponge [240]2 years ago
5 0
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
GIVEN
2. m∠4 = m∠7
If lines ||, alternate interior angles are equal.
3. m∠5 = m∠8
Vertical angles are equal.
4. m∠7 = m∠8
Substitution
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Answer:

Only choices C and D are solutions

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6x + 3y = -15

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Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.

We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9   False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

0 = -15     False

Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

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Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

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Solution

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