Step-by-step explanation:
Let set up the two column proof
Statements. Reasons
1. m 1+ m∠5 = 180° and m∠1 + m∠4=180° Given
2. 2. m∠1 + m∠5 = m∠1 + m∠4. Substitution
3.m∠5 = m∠4. Subtraction Property of Equal
4.is Parallel to Given. 4.If alternate interior angles equal, then lines are ||.
Answer:
c
Step-by-step explanation:
3/24 = 3/3*8 = 1/8
24/32 = 4*6/4*8 = 6/8
32/24 = 4*8/4*6 = 8/6
24/3 = 3*8/3 = 8/1 = 8
Using the properties of inequalities:
Subtract -2 from each side of the inequality -2 + x > 10
Remember -2 - -2 becomes -2 + 2 = 0 <u>- -2 + x > --2
</u>10 - -2 becomes 10 + 2 =12<u /> 0 + x > 12
So the final solution would be x > 12.
Therefore x would have to be all numbers greater than 12.
<u />
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
Answer: 84
Step by step:
6x2=12
96-12=84