Answer:
<h2>5 cm</h2>
Step-by-step explanation:
step one:
Given that the scale of the map is
2cm to represent 30 miles
That is every 1 cm is 15 miles in reality
step one:
what we are solving for is the distance in cm on the map so,
1cm rep 15miles
xcm rep 75miles
cross multiply
Xcm= 75/15
X= 5 cm
hence on the map 75miles distance between the two towns is seen as 5 cm
First of all, a positive average rate of change means that the function is increasing, so the answer can only be A->B or B->C.
The average rate of change is defined as

i.e. as the ratio between the vertical and horizontal gain.
In order to go from point A to point B, you gain 1 unit horizontally and 5 units vertically. So, the average rate of change is 5/1=5.
In order to go from point B to point C, you gain 1 unit horizontally and 3 units vertically. So, the average rate of change is 3/1=3.
Answer: x=6, y=20
Step-by-step explanation:
Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.
y=2y-20 [subtract both sides by 2y]
-y=-20 [divide both sides by -1]
y=20
--------------------------------------------------------------------------------------
3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]
36=6x [divide both sides by 6]
x=6
Write an expression using multiplication and addition with a sum of 16:
2 x 6 +4