Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.
<u>Step-by-step explanation:</u>
As given by the statement in the problem,
Q may be the middle point, which cut the diagonal PA into 2 equal halves.
In rhombus, diagonals meet at right angles.
which means that PQ = QA
x+2 = 3x - 14
Grouping the terms, we will get,
3x -x = 14+ 2
2x = 16
dividing by 2 on both sides, we will get,
x = 16/2 = 8
8+2 = 3(8) - 14 = 10 = PQ or QA
ANSWER

EXPLANATION
The volume of a cylinder is given by the formula:

The given cylinder has diameter 6. This means that, the radius is


The is height is


We substitute the values into the formula to obtain;



The volume is

to the nearest hundredth
Answer:2x+8=2
2x=2-8
2x= -6 (devide both sides by 2 to get x)
2x/2 and -6/2
×=3
Step-by-step explanation:
In trigonometry, we start from the point (1,0), so this is the 0-degree point. Then, we start rotating counter clockwise along the unit circle.
Note that rotating 180 or -180 degrees is actually the same, because you travel half the circumference clockwise or counter clockwise. In both cases, you start from the rightmost point of the circle, (1,0), and arrive at the leftmost point, (-1,0).
Now, for every point (x,y) on the unit circle, given by a certain angle
, we have

So, in this case, the angle of -180 is associated with the point (-1,0), and thus we have

Answer:
5x/2
Step-by-step explanation:
Say the mystery number is "x"
5 times that = 5 * x = 5x
Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2