The explicit formula for the sequence is -5n + 12
Answer:
shown below
Step-by-step explanation:
1. The pair of angles shown in your diagram are vertical angles. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. The pairs of vertical angles have the exact same measurement. Therefore, 5x and 100 must have the same degree measurement, or 100 degrees. Thus, 5x must equal 100, so 5x = 100, and x would be 20 degrees.
2. The diagram shows a right angle (90 degrees) formed by 3x degrees and 39 degrees. 3x and 39 are complementary, which means they add up to 90, not 180 (that's supplementary). Thus, 3x + 39 = 90, 3x = 51, and x = 17 degrees.
3. The diagram shows a 180-degree angle formed by 6x degrees and 2x + 8 degrees. This means that 6x + (2x+8) equals 180. 6x + 2x + 8 = 180 and 8x + 8 = 180, 8x = 172, and x = 21.5 degrees.
4. A angle's supplement is basically 180 - (angle measure), because you are finding the angle that when formed with the original angle creates a 180 degree angle. Thus, the supplement angle would be 180 - 47 which is 133 degrees.
5. The angles 115 and (5x-10) create a 180 degree angle, which means that 115 + (5x-10) = 180. Thus, x = 15.
Answer:
C) (x-6)^2
Step-by-step explanation:
x2 - 12x+36
What two numbers multiply to 36 and add to -12
-6*-6 = 36
-6+-6 = -12
(x-6) (x-6)
(x-6)^2
Answer: Last Option (Red In Colour)
Reason: Since Point Slope Form is y -y1 = m(x-x1), We just plug in the numbers. Four will go into the x1 spot, and Zero will go into the y1 spot, and 1/2 in the m spot since it's the slope. So, after plugging everything in, the equation is y - 0 = 1/2 ( x- 4)
<em>I hope this helps, and Happy Holidays! :)</em>
