Answers:
1) Given
2) angle 2 ** see note below
3) angle 3 ** see note below
4) converse of alternate exterior angle theorem
note: you can swap the answers for 2 and 3 and it doesn't matter
========================================================
Explanations:
1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.
2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)
4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).
The augmented matrix is,

We have given system of linear equation is,

<h3>What is the meaning of augmented matrix?</h3>
In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.
So, the first row is

the second row is

and the third row is

Therefore the augmented matrix for this linear system is,

To learn more about the augmented matrix visit:
brainly.com/question/14600951
Answer:
-7 meters
Step-by-step explanation:
-15 after diving down
-15+8 because 8 meters up
-15+8=7
The height of the triangle that forms the train track is 145,38 ft
<h3>How to calculate the height of the triangle?</h3>
To calculate the height of the triangle we must take into account the information provided by
- Base of the triangle = 1 mile = 5280 feet
- Railroad track expansion = 8 feet
According to the above, we must perform the following operations:
- 5280 ÷ 2 = 2640
- 8 ÷ 2 = 4
- 2640 + 4 = 2644
Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:
- Base: 2640ft
- Hypotenuse: 2644 ft
- 2644² = x² + 2640²
- x² = 2644² - 2640²
- x =
. - x =
![\sqrt[2]{21137}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B21137%7D)
- x = 145,38 ft
That makes x approximately 145,38 ft.
Learn more about triangles in: brainly.com/question/2269348