Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years
Answer:
x + 10 + 3x + 28 = 90
4x = 52
x= 13
Step-by-step explanation:
Angle B = 67
Answer:
AC=32 units.
Step by step explanation:
Given information: B, D, and F are midpoints if the sides of ΔACE, EC = 38 and DF = 16.
Consider the below figure attached with this question.
According to the midpoint theorem, if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
Using midpoint theorem, the length of AC is twice of DF.

Substitute the given values in the above equation.


Therefore, the length of AC is 32 units.
We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
Answer:
half of 7.4 is 3.7 so the houses are 3.7 miles apart.