Answer:
Their sum is 140. The measure of an exterior angle is supplementary to the respective interior angle.
Step-by-step explanation:
Since the angle are on a straight line, m2 and 140 sum to 180.
So m2=40. Because a triangle has 180 degrees, m1 and m3 must sum to 140.
The exterior angle is always on the same incline as the interior angle, so it is always supplementary to the interior angle.
Answer:
65 miles
Step-by-step explanation:
There are two simultaneous equations
. Remeber that v=d/t, 1hour = 60 minutes.
1. 40 = (d+15)/(t+0.5)
2. 50 = d/t
solving: d= 25 miles and t=0.5 hours.
The distance traveled is:
D=d+d+15
D=65 miles
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: 
Putting values and making equation:

So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
First no. = x
Second no. = y
Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)
x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
y = -2
x = 6 + 2
x = 8
Answer = 8 , -2