Answer:
1) Parallel lines are "ALWAYS"
coplanar.
2) Perpendicular lines ARE "ALWAYS"
coplanar.
3) Distance around an unmarked circle CAN "NEVER" be measured
Step-by-step explanation:
1) Coplanar means lines that lie in the same plane. Now, for a line to be parallel to another line, it must lie in the same plane as the other line otherwise it is no longer a parallel line. Thus, parallel lines are always Coplanar.
2) similar to point 1 above, perpendicular lines are Coplanar. This is because perpendicular lines intersect each other at right angles and it means they must exist in the same plane for that to happen. Thus, they are always Coplanar.
3) to have the distance, we need to have the circle marked out. Because it is from the marked out circle that we can measure radius, diameter and find other distances around the circle. Thus, distance around an unmarked circle can never be measured.
Answer:
x = 15
Step-by-step explanation:
We assume you want to find the value of x.
Know (or prove) that in this geometry, all of the right triangles are similar. That means the ratios of corresponding sides are proportional.
short side / hypotenuse = 9/x = x/25
x^2 = (9)(25) . . . . . . . . . . multiply by 25x ("cross multiply")
x = √((9)(25)) = (3)(5) . . . take the square root
x = 15
Answer:
Step-by-step explanation:
jnj
Answer:
The prices will match up at 3 snowboard rental trips. The cost is $25.
Step-by-step explanation:
First, I wrote out the two equations:
Cold Boarders: 5x + 10
Ice Riders: 4x + 13
Next, I kept trying numbers for x until I found one that worked. The two companies prices match up at 3 snowboard rental trips. The cost will be $25. Hope this helped!
Answer:
a.) f(x) = -⅙(x+3)²+6
Step-by-step explanation:
The maximum value, our vertex, is at point (-3,6).
We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

a equals -1/6... We can input this into the original equation we used...
f(x) = -1/6(x+3)^2+6
Good luck on the bellwork ;)