9514 1404 393
Answer:
m = 35
n = 110
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
n° = 180° -70°
n = 110
Opposite angles in a parallelogram are congruent.
2m° = 70°
m = 35 . . . . . . divide by 2°
Answer:
B. -0.5
Step-by-step explanation:
I calculated it logically
The left side can be written as a square. We can take the square root, then subtract 1.
... (x +1)² = 17
... x +1 = ±√17
... x = -1 ±√17
From the chord theorem we know that:
![\overline{TW}\cdot\overline{UW}=\overline{CW}\cdot\overline{VW}](https://tex.z-dn.net/?f=%20%5Coverline%7BTW%7D%5Ccdot%5Coverline%7BUW%7D%3D%5Coverline%7BCW%7D%5Ccdot%5Coverline%7BVW%7D%20)
so:
![\overline{TW}\cdot\overline{UW}=\overline{CW}\cdot\overline{VW}\\\\3\cdot\overline{UW}=x\cdot6\\\\3\cdot(\overline{TU}-\overline{TW})=x\cdot6\\\\ 3\cdot(x+7-3)=x\cdot6\\\\3\cdot(x+4)=x\cdot6\\\\3x+12=6x\\\\12=6x-3x\\\\3x=12\qquad|\div3\\\\\boxed{x=4}](https://tex.z-dn.net/?f=%20%5Coverline%7BTW%7D%5Ccdot%5Coverline%7BUW%7D%3D%5Coverline%7BCW%7D%5Ccdot%5Coverline%7BVW%7D%5C%5C%5C%5C3%5Ccdot%5Coverline%7BUW%7D%3Dx%5Ccdot6%5C%5C%5C%5C3%5Ccdot%28%5Coverline%7BTU%7D-%5Coverline%7BTW%7D%29%3Dx%5Ccdot6%5C%5C%5C%5C%0A3%5Ccdot%28x%2B7-3%29%3Dx%5Ccdot6%5C%5C%5C%5C3%5Ccdot%28x%2B4%29%3Dx%5Ccdot6%5C%5C%5C%5C3x%2B12%3D6x%5C%5C%5C%5C12%3D6x-3x%5C%5C%5C%5C3x%3D12%5Cqquad%7C%5Cdiv3%5C%5C%5C%5C%5Cboxed%7Bx%3D4%7D%20)
Answer C.