Answer:
S(6, 10)
Step-by-step explanation:
1. The Midpoint (in this case, M) will always be halfway between both R and S (or other characters in some cases).
2. As M is only one X value away from R, it is only 1 X value from S as well, but in the other direction.
3. (7, 10) - (1, 0) = (6, 10)
The (7, 10) is the Midpoint Coordinates.
The (1, 0) is the distance from M to R.
The (6, 10) is the coordinates of S.
Answer:
G. ABD = 74
H. DBC = 206
I. XYW = 33.75
J. WYZ = 46.25
Step-by-step explanation:
For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC). A straight line has an angle of 180 degrees. This means that the two angles from the straight line when combined will give you 180 degrees. Solve for x.
ABD + DBC = ABC
(1/2x + 20) + (2x - 10) = 180
1/2x + 20 + 2x - 10 = 180
5/2x + 10 = 180
5/2x = 170
x = 108
Now that you have x, you can solve for each angle.
ABD = 1/2x + 20
ABD = 1/2(108) + 20
ABD = 54 + 20
ABD = 74
DBC = 2x - 10
DBC = 2(108) - 10
DBC = 216 - 10
DBC = 206
For I and J: For these problems, you use the same concept as before. You have a right angle (XYZ) that has within it two other angles (XYW and WYZ). A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle. Solve for x.
XYW + WYZ = XYZ
(1 1/4x - 10) + (3/4x + 20) = 90
1 1/4x - 10 + 3/4x + 20 = 90
2x + 20 = 90
2x = 70
x = 35
Plug x into the angle values and solve.
XYW = 1 1/4x - 10
XYW = 1 1/4(35) - 10
XYW = 43.75 - 10
XYW = 33.75
WYZ = 3/4x + 20
WYZ = 3/4(35) + 20
WYZ = 26.25 + 20
WYZ = 46.25
Answer:
the plane would fall and crash at 150mph
Step-by-step explanation:
x = player1
y = player 2
z = player 3
y = 2x or 1/2 y =x
y = z-10 or z = y+10
x+y+z=70
substitute x= 1/2 y and z = y+10 into the above equation
1/2y + y + y+10 = 70
2.5 y + 10 = 70
subtract 10 from each side
2.5 y = 60
divide by 2.5 on each side
y = 60/2.5
y =24
x = 1/2 y
x = 1/2 *24 = 12
z = y+10 = 24+10 = 34
The three players scored 12, 24, 34
