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jolli1 [7]
3 years ago
10

Given that p || q, what are the reasons that each statement is true?

Mathematics
1 answer:
suter [353]3 years ago
8 0

Answer:

See answers below

Step-by-step explanation:

1) This is the given premise "line p is parallel to line q"

2) Angles 1 and 2 are equal (congruent) because they are vertical opposite angles.

3) Angles 2 and 3 are equal (congruent) because they are alternate angles.

4) Angles 3 and 4 are equal (congruent) because they are vertical opposite angles.

5) Angles 1 and 4 are equal (congruent) because: a) angle 1 is equal to angle 2 being vertical opposite,  b) angle 2 is equal to angle 4 because they are corresponding angles, therefore c) due to transitive property, angle 1 will equal angle 4.

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Anyone know this please???
Kazeer [188]

Answer: Choice A

The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.

==============================================

Explanation:

Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.

It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.

Going back to the triangles, we know that the sides are congruent by the tickmarks

  • side MN = side RS (single tickmark)
  • side NP = side ST (double tickmarks)
  • side MP = side RT (triple tickmarks)

That takes care of the first part of choice A.

And similarly, the angle markers tell us which angles are congruent

  • angle M = angle R  (single arc)
  • angle N = angle S (90 degree angle marker)
  • angle P = angle T (double arc)

That concludes the second part of choice A.

6 0
3 years ago
Please help me, I don't understand this-
Andreas93 [3]

Answer:

i think its J 5,000 pounds

Step-by-step explanation:

5 0
3 years ago
Write the set of real numbers from - 10 through 10 in interval notation.
Klio2033 [76]

Answer:

1) (-10,10) - Greater than -10 and less than 10.

2) [-10, 10] - Greater than or equal to -10 and less than or equal to 10.

3) [-10, 10) - Greater than or equal to -10 and less than 10.

4) (-10, 10] Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) (-10,10) - Greater than -10 and less than 10.

2) [-10, 10] - Greater than or equal to -10 and less than or equal to 10.

3) [-10, 10) - Greater than or equal to -10 and less than 10.

4) (-10, 10] Greater than -10 and less than or equal to 10.

8 0
3 years ago
Helppppp !!!!!! <br><br>8^6 ÷ 8^7<br><br>A. 8^0<br>B. 8^1 <br>C. 8^5<br>D. 8^-1<br>E. 8^10​
MArishka [77]

8^6 ÷ 8^7 = 8^{6-7} = 8^{-1}

<h3>CMIIW</h3>
3 0
3 years ago
Read 2 more answers
(Branliest!) Edith uses the greatest common factor and the distributive property to rewrite this sum: 32 + 24 Which expression d
kotykmax [81]

Answer:

A. 2(16+12)

Step-by-step explanation:

1. 2x16=32

2. 2x12=24

3. 32+24=56

4 0
4 years ago
Read 2 more answers
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