Since line c and d are parallel, line a can act as a transversal. Thus, x=124 degrees because of the alternate exterior angle relationship that can be seen.
Answer:
The equation of the line is 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Slope of - 1/3
This means that 
So
Through the point (-6, -6)
This means that when 
. So
The equation of the line is
Answer: 128 inches
Step-by-step explanation:
let's start with the perimeter: the perimeter is the total length to the sides/edges of a shape.
since we're dealing with a rectangle, there will be 4 sides
two lengths & two widths
so 48+48+16+16=128 inches
The speed of one car is 'S'. The speed of the other car is (S + 10).
In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.
Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.
500 = (5S) + 5(S + 10)
500 = 5S + 5S + 50
500 = 10S + 50
Subtract 50 from each side:
450 = 10S
Divide each side by 10
S = <u>45</u>
S + 10 = <u>55</u>
9514 1404 393
Answer:
- |w -30| > 1.6
- (-∞, 28.4) U (31.6, ∞)
Step-by-step explanation:
1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:
|w -30| > 1.6
__
2. This inequality resolves to two inequalities.
w -30 > 1.6
w > 31.6 . . . . . add 30
and
-(w -30) > 1.6
w -30 < -1.6 . . . multiply by -1
w < 28.4 . . . . . add 30
The solution in interval notation is the union of the two disjoint intervals:
(-∞, 28.4) U (31.6, ∞)
