Answer:
The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73
Step-by-step explanation:
First problem:
It's asking for the distance he walks by walking around a rectangular box which is the perimeter.
Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.
Second problem:
Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90
-4x +45 + 7x + 24 = 90
3x + 69 = 90
3x = 21
x= 7.
Plug back x into both m<1 and m<2 to find the measure of the angles.
m<1 = -4(7) + 45 = 45-28 = 17
m<2 = 7(7) + 24 = 49 + 24 = 73
Answer:
7 isn't a composite number
Step-by-step explanation:
Well, if you disregard the signs for a second, you can work this like a normal equation:
-6 - 12v = 90
-12v = 96
v = 8
Now just reincorporate the less than sign:
v < 8
Answer:
The coordinates of endpoint B are (15, 5).
Step-by-step explanation:
This problem gives you the midpoint coordinates of line segment AB, and the coordinates of endpoint A. Given this, you can find the "distance" between the two points and thus the "distance" between the midpoint and point B.
Start by subtracting the the coordinates of point A from the coordinates of the midpoint.
X: 9-3=6
Y: 7-9=-2
X travels along the horizontal axis, while Y travels along the vertical axis. This means that a positive X goes right, a negative X goes left, a positive Y goes up, and a negative Y goes down.
Because you have a positive 6 for X, the line traveled 6 units right from point A to the midpoint. And because you have a negative 2 for Y, the line traveled 2 units down from point A to the midpoint.
Now, going from the midpoint to your unknown point B is simply shifting the discovered number of units right and down, or adding and subtracting from your midpoint accordingly.
M(9, 7)
B(9+6, 7-2)
B(15, 5)
