Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
5+x2
Step-by-step explanation:
If you graph the end points C and D then graph the 4 points at the end it is difficult to tell which points are on CD without a line.
Using the endpoints find the slope (change in y/ change in x) then substitute a point in to find the intercept.
Slope = (-6-4)/(6- -8) = -5/7
Intercept equation (-6) = -5/7 (6) + b
b = -1.71428571429
Graphing the line shows only 2 points on the line (–2.75, 0.25) and <span>(0.75, –2.25)
I am confused by the part, "</span><span>P is the length of the line segment from D". Were you given a length P to help you determine which point. Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given. The image shows the distances I calculated and the graphed points.
I hope this helps!</span>
Answer:
3 1/8 packages of beads
Step-by-step explanation:
We know that Darnell uses 1 1/4 packages of beads to make 10 bracelets. In order to find how many packages of beads he'll need for 25 bracelets, we set up a proportion:
, where x is the number of packages needed
Cross-multiply:
25 * 1 1/4 = 10x
1 1/4 is just 1.25 in decimal form, so:
25 * 1.25 = 10x
31.25 = 10x
x = 3.125 = 3 1/8
So, Darnell will use 3 1/8 packages of beads.
<em>~ an aesthetics lover</em>
Answer:

Step-by-step explanation:
Given that,
The height of a cylinder, h = 8 inches
The diameter of the cylinder, d = 14 inches
Radius, r = 7 inches
We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

So, the volume of the cylinder is equal to
.