With intersecting lines, the angles opposite the intersection (across the "X") are called vertical angles, and they are identical. Therefore JNK = MNL and KNL = JNM.
So set KNL = JNM:
3(x+14) = 5x+2
3x+42 = 5x+2
3x+42 -42 = 5x+2 -42
3x = 5x -40
3x -5x = 5x-5x -40
-2x = -40
-2x/-2 = -40/-2
x = 20
Now plug that into x for KNL:
KNL = 3(x+14) = 3(20+14) = 3(34) = 102°
We are not given a specific group that was surveyed, so all we would do is add all the students.
32 + 23 + 31 + 12 + 8 + 30 + 11 = 154
We end up with 154 students that were surveyed.
:)
Answer:
Step-by-step explanation:
First off, we are given a parabola by definition:
Since , our parabola has an upward opening.
Should we think about it graphically, it will be no wonder that we should pay our attention to the points of the parabola intersecting the abscissa axis. In other words, we need our vertex to intersect the x axis only once per se.
The vertex:
As a result, our is parametric. suits us because . If , we do not have any roots at all. We have two roots if .
Answer:
2)16.5
Step-by-step explanation:
step1:v/2.2 -0.1=7.4
add 0.1 on both sides
step2:v/2.2=7.5
multiply by 2.2 on both sides
step3:v=16.5
Answer:
They are parallel
Step-by-step explanation: