Notice the point R
is a vertex between two "vertical angles"

those two folks are also the same
so now, we have the left triangle has angle P equals to angle T on the other triangle
we also have the side on the left triangle of PR equals the side of TR on the other triangle, and those two verticals angles are equal to each other
does ASA ring a bell?
47.5% in decimal form is 0.475.
Since the price was increased, we add 1 to 0.475 to get 1.475.
80 * 1.475 = 118
Another way to solve this is to multiply 80 by 0.475, which is 38, then add it to 80.
The retail price of the shoes is $118.
Answer:
The final volume is 320 mL at pressure of 100 kPa.
Step-by-step explanation:
Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

Let

We need to find
. Using above equation, we get :

So, the final volume is 320 mL at pressure of 100 kPa.
3-4x=-6x^2
+6x^2=+6x^2
_____________
6x^2+3-4x=0
6x^2-4x+3=0
(-4)^2-4(6)(3)
16-72
Final Answer: -56