Answer:
Step-by-step explanation:
line 1 m=y2-y1 / x2-x1 [formula for slope ]
m= 0 - (-3) / 8-(-4)
m= 3 /12
m= 1/4 slope of line 1
line2
m = 2-6 / 0-(-1)
m = -4 / 1
m = -4 slope of line 2
line 3
m = -4 - (-7) / -3 - 6
m = 3 / -9
m = - 1/3 slope of line 3
lines 1 & 2 perpendicular b/c they are reciprocals with a sign change :)
lines 1 & 3 neither.. differet slopes and not reciprocals
lines 2 & 3 perpendicular b/c they are reciprocals with a sign change :)
A regular polygon is drawn in a circle so that each vertex is on the circle
Each of the central angles has a measure of 40
360 / 40 = 9
so the polygon has 9 sides
Answer is the second option
9
9514 1404 393
Answer:
- square: 12 ft sides
- octagon: 6 ft sides
Step-by-step explanation:
This problem can be worked in your head.
If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.
__
We can let s represent the side length of the octagon. Then we have ...
8s = perimeter of octagon
4(s +6) = perimeter of square
These are equal, so ...
4(s +6) = 8s
s +6 = 2s . . . . . . divide by 4
6 = s . . . . . . . . . . subtract s
The octagon has 6-ft sides; the square has 12-ft sides.
Answer:
The number of games must a store sell in order to be eligible for a reward is 135.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of video games sold in a month by the sores.
The random variable <em>X</em> has a mean of, <em>μ</em> = 132 and a standard deviation of, <em>σ</em> = 9.
It is provided that the company is looking to reward stores that are selling in the top 7%.
That is,
.
The <em>z</em>-score related to this probability is, <em>z</em> = 1.48.
Compute the number of games must a store sell in order to be eligible for a reward as follows:



Thus, the number of games must a store sell in order to be eligible for a reward is 135.