S and N are the variables
To find FDH and FDE you first need to solve GDH.
Here’s how to set up GDH.
8x-1=6x+15
Subtract 6x from both sides so that it cancels out.
2x-1=15
Add 1 to both sides so that it cancels out.
2x=16
Divide by 2z
x=8
Plug in.
GDH: 8(8)-1+6(8)+15=78
FDH: 122+78= 200
FDE: 122+15=137
Answer:
m∠WXY+m∠ZXY=m∠WXZ
Step-by-step explanation:
You don't know the angles to be congruent (equal measures), complementary (measures add to 90 deg), or supplementary (measures add to 180 deg); all you know is that they are adjacent, so the sum of the measures of the two smaller angles equals the measure of the larger outer angle.
Answer: m∠WXY+m∠ZXY=m∠WXZ
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
