2/3 would be the correct answer.
PQS is congruent to RQS
124/2 = 62°
Answer:
Step-by-step explanation:
x = cheaper compact disc
y = more expensive compact disc
x + y = 375.....x = 375 - y
12.95x + 14.95y = 5306.25
12.95(375 - y) + 14.95y = 5306.25
4856.25 - 12.95y + 14.95y = 5306.25
4856.25 + 2y = 5306.25
2y = 5306.25 - 4856.25
2y = 450
y = 450/2
y = 225 <==== there were 225 of the more expensive compact discs sold
x + y = 375
x + 225 = 375
x = 375 - 225
x = 150 <==== there were 150 of the cheaper compact discs sold
check...
12.95x + 14.95y = 5306.25
12.95(150) + 14.95(225) = 5306.25
1942.50 + 3363.75 = 5306.25
5306.25 = 5306.25 (correct)
Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y
Y = -1.4
The simplest way to find the answer is to cancel out the x - values. Set both equations equal to zero.
10x + 8y + 24 = 0
5x - 6y - 2 = 0
Multiple the second equation by -2 so the x terms cancel out when you add them together.
10x + 8y + 24 = 0
-10x + 12y + 4 = 0
20y + 28 = 0
20y = -28
Y = -1.4
