7. Straight lines are also = to 180°
If you look at the diagram, when you add the two angles together, they form a straight line.
Since the angles add up to 180°, you can do:
(x + 25)° + (4x + 5)° = 180°
x + 25 + 4x + 5 = 180 Combine like terms
5x + 30 = 180 Subtract 30 on both sides
5x = 150 Divide 5 on both sides
x = 30
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
m=#miles
so 130= .5m+30
subtract 30 from each side
100$= .5m than divide .5 to isolate m
m= 200
Step-by-step explanation:
The picture in the attached figure
let
x--------> men voters
y-------> women voters
we know that
y=x+2800------> y-x=2800------> equation 1
step 1find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
%
women voters
%
remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%
if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters
the answer isabout 10,079 voters