Answer:
I think that you need to add obvoiusly.
12351 Thats what I got. But Im not sure if its correct. I hope his helps
Step-by-step explanation:
Answer:
Your answer is 10
Step-by-step explanation:
160 devided by 16 = 10
Its D because vertical angles are right across from each other!
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
So, the two triangles are congruent. It follows that CF=FE, and in particular
![8x=3x+15 \iff 5x=15 \iff x=3](https://tex.z-dn.net/?f=8x%3D3x%2B15%20%5Ciff%205x%3D15%20%5Ciff%20x%3D3)
And since x=3, the length of EF is
![3x+15=3\cdot 3+15=24](https://tex.z-dn.net/?f=3x%2B15%3D3%5Ccdot%203%2B15%3D24)
A) angle 1 = angle 2 - Incorrect
These angles are only on one of the following lines, which means that they do not show that lines C and D are parallel. In addition, angles 1 and 2 are supplementary, so they could not be equal.
B) angle 1 + angle 2 = 180 - Incorrect
Though this is true, this does not prove that lines C and D are parallel because both of these angles are on the same line.
C) angle 2 = angle 3 - Correct
These angles are alternate interior angles and there are angles on both lines, which proves that lines C and D are parallel.
D) angle 2 + angle 3 = 180 - Incorrect
These angles are equivalent, so they cannot add up to 180 degrees unless the intersecting line was perpendicular to both lines C and D.
Hope this helps!! :)