14. -15 degrees celsius
15.
- Boys = 15 * 3 = 45
- Total = 15 + 45 = 60
16. 2(5)^2 + 5 = 2(25) + 5 = 50 + 5 = 55
You need to factor the numerator and denominator...
(2x^2+4x-2x-4)/(2x^2-2x-2x+2)
(2x(x+2)-2(x+2))/(2x(x-1)-2(x-1))
((2x-2)(x+2))/((2x-2)(x-1)) so the (2x-2)s cancel out leaving
(x+2)/(x-1)
Answer: 30 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees, so you can just write an equation to solve for the measure of angle F. Also, angle C is congruent to angle F because of CPCTC
124 + 26 + F = 180
150 + F = 180
F = 30
The measure of angle F is 30 degrees
If we identify the lines by ...
1. y = -0.5x -3
2. y = -3.5x -15
3. y = 5x +19
4. y = 1.25x +4
Then the matches are ...
BC - 2
DE - 1
FG - none
HI - 4
JK - none
LM - 3
_____
Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.
Depending on what classes, most likely one.