From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.
Answer:
-2x+25 D
Step-by-step explanation:
To determine how far it will go in an unspecified number of hours, we can let t = time in hours. The letter t will be our variable. Assuming that the car travels at the same speed, we can state that the rate is 55, and that will be our constant. The expression would then be:
Distance of car traveled in t hours, which we can denote as D(t) = 55 x t = 55t
This means that D is a function of t, and D represents the total distance traveled in t hours.
