Answer: parallel = - 1/4
Step-by-step explanation: perpendicular= 4
Answer:
∑ₙ₌₁⁸ (3n − 9)
Step-by-step explanation:
This is an arithmetic series where the first term is -6 and the common difference is 3. The nth term can be written as:
aₙ = a₁ + d (n − 1)
aₙ = -6 + 3 (n − 1)
There are 8 terms in this series, so the sum is:
∑ₙ₌₁⁸ [-6 + 3 (n − 1)]
Simplified:
∑ₙ₌₁⁸ (3n − 9)
You want to find the measure of angle x. Rearrange the given 8 cos x+3=0 as <span>8 cos x= -3, or cos x = -3 / 8, or cos x = -0.375.
Use the arccos function (inverse cosine) to find the value of x in radians and in degrees.
Since the cosine function is negative only in Quadrants II and III, focus on the following possible ranges: Quadrant II: 90 < x < 180 and
Quadrant III: 180 < x < 270.
Example: using my calculator to obtain the inverse cosine of -0.375, I got x = 1.96 radians. Convert this into degrees if desired. Draw a ray showing this angle. Reflect this ray across the horiz. axis to obtain the angle in Q III.</span>
Answer:
a. 156°
Step-by-step explanation:
The marked angle at P is the average of the arcs intercepted:
((13x)° + (5x+10)°)/2 = (10x -7)°
(18x +10)/2 = 10x -7 . . . . simplify a bit
9x +5 = 10x -7 . . . . . . . . simplify more
9x +12 = 10x . . . . . . . . . . add 7
12 = x . . . . . . . . . . . . . . . . subtract 9x
Now, use this value to find (13x)°.
13x° = 13(12)° = 156° . . . measure of arc DC
So the answer is D hope this would help you