Answer:
x=12 and y=31
Step-by-step explanation:
First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:
5x - 7 = 3x + 17
Add 7 to each side:
5x = 3x + 24
Subtract 3x from both sides:
2x = 24
Divide each side by 2:
x = 12
Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:
5x - 7 + 4y + 3 = 180
Substitute 12 in for x to solve for y:
5 ( 12 ) - 7 + 4y + 3 = 180
60 - 7 + 4y + 3 = 180
combine like terms:
( 60 + ( -7 ) + 3 ) + 4y = 180
56 + 4y = 180
Subtract 56 from each side:
4y = 124
Divide each side by 4:
y = 31
Part A:
f(x)=30(1.2)^x
f(x)=45+3x
Part B: Neighborhood A is 74.6496, so that rounds to 75 homes, and Neighborhood C is exactly 60 homes
Part C:
i would graph them in a graphing calculator, and use the functions to see where the 2 lines intersect.
The x value for when they intersect (# of years) is 3.3207883, so approx. 3.3 years for them to be equal
Answer:
you divide
Step-by-step explanation:
4x=20
= 5
Answer:
Step-by-step explanation:
E.
Because
30+20=50
and
30-20 = 10
