6 = 5r - 14
6 + 14 = 5r
20 = 5r
r = 4
Answer: mike traveled 34 miles
Example :
u have an endpoint at (6,5)......ad the midpoint is (4,2)....find the other endpoint.
midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
one endpoint (6,5)....x1 = 6 and y1 = 5
other endpoint (x,y)...x2 = x and y2 = y
sub into the formula
m = (6 + x) / 2, (5 + y) / 2
okay, so the midpoint is (4,2)....so ur x value will equal 4
(6 + x) / 2 = 4...multiply both sides by 2
6 + x = 4 * 2
6 + x = 8
x = 8 - 6
x = 2 <==
midpoint is (4,2)....so the y value will equal 2
(5 + y) / 2 = 2 ...multiply both sides by 2
5 + y = 2 * 2
5 + y = 4
y = 4 - 5
y = -1 <==
so ur other endpoints are (2,-1)
Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"
Since, 
6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
