Answer:
x = 5
Step-by-step explanation:
This equation can be rearranged in order to easily solve.
First, rearrange the equation by simply flipping it.
3x + 30 = 9x → 9x = 3x + 30
Then, you may solve for x.
9x = 3x + 30 subtract 3x from both sides of the equation
6x = 30 divide by 6 on both sides of the equation
x = 5
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
60 seconds per minute, 60 minutes per hour
60*60 = 3600 seconds per hour
5280 feet per mile
300/5280 = 0.0568 of a mile
2.92/3600 = 0.000811 of an hour
0.0568 / 0.000811 = 70.028 miles per hour
round to 70 miles per hour
Answer:
-16 sqrt(3) +16i
Step-by-step explanation:
z = 2 cis (pi/6)
z^5 = 2^5 cis (5*pi/6)
z^5 = 32 cis (5pi/6)
z^5 = 32 cos (5pi/6) + 32 i sin (5pi/6)
= 32 * (-sqrt(3)/2) + 32i (1/2)
= -16 sqrt(3) +16i
