Answer: Points P, M, F, and C are coplanar.
Step-by-step explanation:
15. true 16. false in my coculations.
Answer:
Step-by-step explanation:
All the angles in a triangle have to add up to 180 degrees.
#17.)
45+50=95
180-95=85
x=85
#18.)
This one is a little different. The furthest two angles are complimentary which means that they add up to 180 degrees (a straight line.) Once you find the missing angle to that one, you can do the same thing as you did in #17.
180-118=62.
25+62=87
180-87=93
x=93
#21.)
For this one a slightly larger equation is needed. Since we don't have a definite number for the bottom left angle, we have to use x+2 as our number. We first have to find the bottom right angle though.
180-108=72
x+x+2+72=180
2x+74=180
2x=106
x=53
The answer for the distibutive oneis 7(4+6)
Answer: she played 5 games and went on 8 rides
Step-by-step explanation:
Let x represent the number of games that Sydney played.
Let y represent the number of rides that Sydney went on.
Each game cost $1.25 and each ride cost $2.25. If Sydney spent $24.25 altogether at the carnival, then the expression is
1.25x + 2.25y = 24.25- - - - - - - - - - -1
If the number of rides that she went on is 3 more than the number of games that she played, the expression would be
y = x + 3
Substituting y = x + 3 into equation 1, it becomes
1.25x + 2.25(x + 3) = 24.25
1.25x + 2.25x + 6.75 = 24.25
3.5x = 24.25 - 6.75
3.5x = 17.5
x = 17.5/3.5
x = 5
y = x + 3 = 5 + 3
y = 8
