Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, we can conclude that r and s are parallel.</span>
Answer:
8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a
Step-by-step explanation:
It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.
8.5b - 3.4(13a - 3.2b) + a
= 8.5b - 3.4*13a -3.4*(-3.2b) + a
= 8.5b - 3.4*13a + 3.4*3.2b + a
= 8.5b - 44.2a + 10.88 b + a
Now, only like terms can be added to each other
= (8.5b + 10.9b) + (a - 44.2a)
= 19.4b + (-43.2a)
= 19.4b - 43.2a
3/5 of the pizza counting Alycia + her 4 friends.
Answer:
The Population growth function is given by:
where
is the initial population.
r is the growth rate (in decimal)
t is the time in year.
As per the statement:
The population of Augusta, WI, had a population of 1253 in 2000.
In 2000
⇒
It is also given that the population increased by 3% each year
⇒r = 3% = 0.03
then;
.....[1]
We have to find the population of Augusta in 2016.
⇒t = 16 years
Substitute the given values in [1] we have;
⇒
⇒
Simplify:
A(t) = 2,010.69717
Therefore, the population of Augusta in 2016 is, 2,010.7
A scatterplot is graphed on a Cartesian coordinate plane just like graphing functions. It displays two variables, one on the x axis and one on the y axis
