For 3 days....
option 1 : 25(3) + 0.10m = 75 + 0.10m
option 2 : 60(3) = 180
180 < 75 + 0.10m
180 - 75 < 0.10m
105 < 0.10m
105 / 0.10 < m
1050 < m.....this is minutes, we need hrs
1050/60 < m
17.5 < m.......the guest would have to spend more then 17.5 hrs
Answer:5x-20y=12
Step-by-step explanation:
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let 
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and 
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
Answer:
The measure of angle K is 118°
Step-by-step explanation:
The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:
K + L + M + J = 360°
Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.
From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:
K + 46° + 118° + 78° = 360°
K + 242° = 360°
K = 360° - 242°
K = 118°
So, the measure of angle K is 118°
Hope this helps :)
