Answer:
The answer is m = 150
Step-by-step explanation:
A - 700 = 250 + 3m
B - m = 150 miles
C - m = 150
3(150) + 250 = 700
↓ ↓ ↓ ↓ ↓
450 + 250 = 700
∨ ↓ ↓
700 = 700 ✓
Answer:
x = 2
y = 5
1 = 80
2= 10
3 = 100
Step-by-step explanation:
Complementary angles add to 90.
So 5(x+14) + 2(10-y) = 90. Solve for x.
5x + 70 + 20 -2y = 90
5x - 2y = 0
Supplementary angles add to 180.
So 5(x+14) + 121-3x-3y = 180. Solve for x.
5x + 70 + 121 -3x -3y = 180
2x - 3y = -11
This creates a system of equations. Solve using elimination.
5x - 2y = 0 ------> 10x - 4y =0
2x - 3y = -11 ------> 10x -15y = -55
_____________
11y = 55
y = 5
Substitute y=5 into the equation to find x.
2x - 3(5) = -11
2x - 15 = -11
2x = 4
x=2
Find the measure of each angle by substituting x = 2 and y =5 into each angle.
Answer:
All integers are whole numbers
Step-by-step explanation:
Integers include all whole numbers and their negative counterpart (basically numbers that are NOT fractions or decimals).
Whole numbers don't include negative numbers (as negative numbers are rational numbers).
Answer:
12
Step-by-step explanation:
3+5=8
32÷8=4
3×4=12
Answer:
5.25 is the lenght of the arc AB.
Step-by-step explanation:
First, since we are told the answer should be expressed in radians, we need to convert the arc angle into radians, we do that by multiplying the angle by π and dividing by 180.
60° * π/180 = 1.05rad
Now, there is a simple formula to calculate the arc lenght, A = Ф*r, where:
A = arc lenght
Ф = arc angle (60°=1.05rad)
r = radius (5cm)
A = 1.05*5cm
A = 5.25cm
