Answer:
Darren is correct. Sonya did not find the distance along a line. Sonya found the distance or length of a line segment, not a line that extends infinitely long. She also used a unit of measure that requires the concept of distance for its definition.
Step-by-step explanation:
so ya thats the sample answer
5(-3.4k - 7) + (3k + 21) = -17k - 35 + 3k + 21 = -14k - 14
Answer:
D
Step-by-step explanation:
i know im correct
The number 141,173 in the nearest ten thousand is 140,000
<h2><u>Correct option</u> :</h2>
![\color{plum}\tt \: \bold{(A) 12x - 4 = 10x + 10 ; x = 7}](https://tex.z-dn.net/?f=%5Ccolor%7Bplum%7D%5Ctt%20%5C%3A%20%5Cbold%7B%28A%29%2012x%20-%204%20%3D%2010x%20%2B%2010%20%3B%20x%20%3D%207%7D)
<h2><u>Steps to derive the correct option</u> :</h2><h3>Given :</h3>
- Lines u and v are parallel
- Measure of an angle = 12x - 4
- Measure of it's corresponding angle = 10x + 10
Since these angles are corresponding angles and lie on two parallel lines, their value will be equal.
Which means :
![= \tt12x - 4 = 10x + 10](https://tex.z-dn.net/?f=%20%3D%20%5Ctt12x%20-%204%20%3D%2010x%20%2B%2010)
![= \tt12x - 4 - 10x = 10](https://tex.z-dn.net/?f=%20%3D%20%5Ctt12x%20-%204%20-%2010x%20%3D%2010)
![= \tt12x - 10x = 10 + 4](https://tex.z-dn.net/?f=%20%3D%20%5Ctt12x%20-%2010x%20%3D%2010%20%2B%204)
![= \tt2x = 14](https://tex.z-dn.net/?f=%20%3D%20%5Ctt2x%20%3D%20%2014)
![=\tt x = \frac{14}{2}](https://tex.z-dn.net/?f=%20%3D%5Ctt%20x%20%3D%20%20%5Cfrac%7B14%7D%7B2%7D%20)
![=\color{plum}\tt x = 7](https://tex.z-dn.net/?f=%20%3D%5Ccolor%7Bplum%7D%5Ctt%20%20x%20%3D%207)
Thus, the value of x = 7.
Let's place 7 in the place of x and see if their value matches :
![= \tt12 \times 7 - 4](https://tex.z-dn.net/?f=%20%3D%20%5Ctt12%20%5Ctimes%207%20%20-%20%204)
![= \tt84 - 4](https://tex.z-dn.net/?f=%20%3D%20%5Ctt84%20%20-%20%204)
![= \tt80](https://tex.z-dn.net/?f=%20%3D%20%5Ctt80)
Thus, ∠12x - 4 = 80°
![=\tt 7 \times 10 + 7](https://tex.z-dn.net/?f=%20%3D%5Ctt%207%20%5Ctimes%2010%20%2B%207)
![= \tt70 + 10](https://tex.z-dn.net/?f=%20%3D%20%5Ctt70%20%2B%2010)
![= \tt80](https://tex.z-dn.net/?f=%20%3D%20%5Ctt80)
Thus, ∠10x + 10 = 80°
Since the value of these two angles are equal, we can conclude that we have found out the correct measure of each angle.
Therefore, the correct option is - <u>(A) 12x - 4 = 10x + 10; x = 7</u>