Refer to the diagram shown below.
The exit for Freestone is built midway between Roseville and Edgewood,
therefore the distance from O to the new exit is
(1/2)*(33+55) = 44 mi.
Let x = distance from Midtown to the new exit.
Because the distance from O to the new exit is equal to (x + 17), therefore
x + 17 = 44
x = 44 - 17 = 27 mi.
Answer:
When the new exit is built, the distance from the exit for Midtown to the exit for Freestone will be 27 miles.
Answer:
Step-by-step explanation:
The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:
and cross multiply.
18w = 450 so
w = 25
Answer:
she has 40 times as many
Step-by-step explanation:
Answer:
A. y =
- 1
Step-by-step explanation:
Given parameters:
Equation of the line:
5x + 2y = 12
Coordinates = -2, 4
Unknown:
The equation of the line parallel to this line = ?
- To solve this problem, first, we need to find the slope of the given line.
Every linear equation have the formula: y = mx + c
m is the slope of the line, c is the y- intercept
5x + 2y = 12
Express this equation as y = mx + c
2y = -5x + 12
y =
+ 6
The slope of this line is 
- Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.
Slope of the line parallel is 
- Our new line will also take the form y=mx + c,
Coordinates = -2, 4, x = -2 and y = 4
m is 
Now let us solve for C, the y-intercept;
4 = - 2 x
+ C
4 = 5 + C
C = -1
The equation of the line is therefore;
y =
- 1