Answer:
(7x + 14)° = 84°
(15x - 4)° = 146°
Step-by-step explanation:
62° + (7x + 14)° = (15x - 4)°
62° +7x + 14 = 15x - 4
15x - 7x = 62 + 14 + 4
8x = 80
x = 10
Therefore, exterior angle (15x - 4)° = 146°
interior angle (7x + 14)° = 84°
Answer:
Step-by-step explanation:
1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula
and substitute the x and y values of those points into it, then simplify:
So, the slope is
.
2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.
3) Substitute values for
and
in the slope-intercept formula,
, to write the equation of the line. Since
represents the slope, substitute
for it. Since
represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

For this case, the first thing we must do is define variables.
We have then:
x: time in minutes
y: distance traveled.
We then have the following equations:
For Kathleen:

For Arnob:

By the time Arnob reaches Kathleen we have:

From here, we clear the value of x.
We have then:


Answer:
it takes Arnob to catch up to Kathleen 75 minutes:
d. 75