Answer:
The length of rectangle is 
The width of rectangle is 
Step-by-step explanation:
Let
x-----> the length of rectangle
y----> the width of rectangle
we know that
The area of rectangle is equal to
so
-----> equation A
-----> equation B
substitute equation B in equation A and solve for y
using a graphing calculator
The solution is
Find the value of x
-----> 
Answer:
242/81 is the answer.
Step-by-step explanation:
Answer:
22.5 degrees
Step-by-step explanation:
90 = x + 3x
90 = 4x (divide by 4)
22.5 = x
22.5 + 67.5 = 90
Keep in mind that an inverse function is simply the reversal of the x and y coordinates of the parent function. For every (x,y) of the parent function, the inverse function has a point (y,x). With the conceptual part out of the way, finding the inverse function is relatively straight forward. If:
y=5x then the inverse function will be what you have when you solve for x and then reverse the variable labels...ie.
y=5x so
x=y/5 now reverse the variable labels...
y=x/5 this is the inverse function of y=5x or as your problem notation stated:
f^-1(x)=x/5
Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
