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Dafna11 [192]
2 years ago
8

What is the reason for Statement 5 of the two-column proof?

Mathematics
2 answers:
zmey [24]2 years ago
8 0

Given: ∠JNL and ∠MNK are vertical angles and  m∠MNK=90°

Prove: ∠JNL is a right angle.

   Statements                                                     Reasons

1.  ∠JNL and ∠MNK are vertical angles.             Given

2. \angle JNL \cong \angle MNK        Vertical angle theorem

3. m \angle JNL = m \angle MNK        Angle congruence postulate

4.  m \angle MNK = 90^\circ                Given

5. m \angle JNL = 90^\circ                 <u> Substitution Property of Equality</u>

Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.

Therefore,  m \angle JNL = 90^\circ

6. ∠JNL is a right angle.                                     Definition of right angle

saveliy_v [14]2 years ago
6 0

Answer:D

Step-by-step explanation:

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Anna11 [10]

Answer:

A.  MN is located at M 0,0) and N (2, 0)  is half the length of M'N'.

Step-by-step explanation:

MN was dilated with a factor 2 is is half the length of M'N'.

7 0
3 years ago
Read 2 more answers
Can you help me plz
Alex73 [517]

9514 1404 393

Answer:

  y = x + 4

Step-by-step explanation:

To find the constant in the equation, look in the table for the value of y when x=0. That value is 4, so ...

  y = x + 4

6 0
2 years ago
Please help me, will mark brainliest for correct answers.....
Alexandra [31]

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

3.

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

6.

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

8.

5² + 12² = 13²

25 + 144 = 169

169 = 169

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After my salary was increased by $16\%,$ it was $\$52{,}200$. What was my salary before the increase?
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The salary before the increase was $48000.
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2 years ago
If Alejandro walks 3 miles in 43 minutes, then how far will Alejandro walk in 93 minutes?
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Answer:

he will walk about 8 miles

Step-by-step explanation:

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