Answer:
k < -5
Step-by-step explanation:
5(k+4)<–5
Divide each side by 5
5/5(k+4)<–5/5
k+4 < -1
Subtract 4 from each side
k+4-4 < -1-4
k < -5
Answer:
86 degrees
Step-by-step explanation:
For triangle the sum of angles is equal to 180 degrees
so,
x+(x-35)+43=180
2x -35+43=180
2x = 180-43+35
2x = 172
x = 86
Answer:
Step-by-step explanation:
- DC = AC = x is the radius
<u>Using the Pythagorean theorem, find x:</u>
- (x + 9)² - x² = 15²
- x² + 18x + 81 - x² = 225
- 18x = 225 - 81
- 18x = 144
- x = 144/18
- x = 8
Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.
For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.
For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.
This is the formula to solve for the vertex.
Example Question:
Find the vertex of y = -0.5x^2 + 100x
-b/2a = -100/2(-0.5) = -100/-1 = 100
The x coordinate of the vertex is 100.
Best of Luck!
P.S. this is 1000th question i've answered :)