Let s equal the number of shirts she can buy
140 > $28.50 + $20.75s
111.50 > 20.75s
5.37 > s
so we round down. she can buy 5 shirts, plus the one dress and she would spend less than $140
a) ∠PQR=65° (alternate interior angles theorem)
∠PRQ = 60° (linear pair)
x = 55° (angles in a triangle add to 180°)
b) ∠APQ and ∠PQR are congruent alternate interior angles.
Answer:
540
Step-by-step explanation:
1. We assume, that the number 900 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 900 is 100%, so we can write it down as 900=100%.
4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.
5. Now we have two simple equations:
1) 900=100%
2) x=3.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
900/x=100%/3.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 3.5% of 900
900/x=100/3.5
(900/x)*x=(100/3.5)*x - we multiply both sides of the equation by x
900=28.571428571429*x - we divide both sides of the equation by (28.571428571429) to get x
900/28.571428571429=x
31.5=x
x=31.5
now we have:
3.5% of 900=31.5
The equation of the line is 
Explanation:
The equation of the line is perpendicular to 
The equation is of the form 
where m=-14
<u>Slope:</u>
The slope of the perpendicular line can be determined using the formula,
Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the slope and the point (2,-4), we get,
Simplifying, we get,
Thus, the equation of the line is
