Answer:
Step-by-step explanation:
To define the perpendicular line we need to first know the slope of the reference line graphed.
m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)
m=(1-5)/(2-0)
m=-4/2
m=-2
For lines to be perpendicular their slopes must satisfy
m1m2=-1, we have a line with a slope of -2 so
-2m=-1
m=1/2, so our perpendicular line is so far
y=x/2+b, it must have point (3,2) so we can solve for b
2=3/2+b
b=1/2, so the swimmer will travel along the line
y=x/2+1/2
Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
1 quarter note=2 eighth notes
1 eight note=2 sixteenth notes
so
1 quarter note=4 sixteenth note
so
times 3 both sides
3 quarter notes=12 sixteenth notes
Answer:We must get more than 7 digs in the remaining 5 games to break record of 26.
Step-by-step explanation:
Given situation:- Let x represents the number of digs which we must get in the remaining 5 games to break your record ,and we have 19 digs for our current volleyball season.
To break previous record of 26 digs in a season, we have to get more than 26 i.e. 19 digs added to x must be greater than 26
⇒x+19 ≥ 26
⇒x≥26-19⇒x≥7
Therefore,we must get more than 7 digs in the remaining 5 games to break record of 26.
Answer:
Step-by-step explanation:
6/6 = 1 gallon
12/6 = 2 gallons
12/6 - 7/6 = 5/6
5/6 should be the answer