The small & large triangle are similar the we can write the following proportion/ratio:
8/(8+x) = 12/(12+18) ==> 12(8+x) =8(12+18) ==> 96+12x=240
12x =240-96 ==> 12x = 144 and x=12
Answer:
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
Step-by-step explanation:
We use the following relation to solve this question:
In which v is the velocity, d is the distance, and t is the time.
Finding the distance:
Charlotte walks home from school every day at a rate of 4 miles per hour. It takes her 30-minutes to reach home.
This means that . Time is 0.5 because as the velocity is in miles per hour, the time has to be in hours. We use this to find d.
The distance is of 2 miles.
Her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour.
We have to find t, in hours, for which . So
A third of an hour. In minutes, this is a third of 60, that is 60/3 = 20 minutes.
How many fewer minutes does it take Noah than Charlotte to reach home from school each day?
Noah: 20 minutes
Charlotte: 30 minutes
30 - 20 = 10
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
Y=1x -1
this is because you only change the z intercept when lines are parallel
Answer: m=-4
Step-by-step explanation:
-4(m+6)=-8
-4m-24=-8 (distribute)
-4m=16 (add 12 to both sides)
m=-4 (divide by -4 to both sides)