Since, PS and QR are parallel, we know that <QRP is equal to <RPS. Therefore, we can solve for y by setting the two equations equal to each other.
5y+14=8y-13
<em>*Subtract 5y from both sides to isolate the variable*</em>
14=3y-13
<em>*Add 13 to both sides*</em>
27=3y
<em>*Divide both sides by 3*</em>
9=y
Now, plug in 9 for y in the equation 8y-13 to find the measure of that angle.
8(9)-13
<RPS=59
Now, the sum of the angles in any triangle is equal to 180 degrees. We can use this knowledge to set up an equation to solve for x.
3x+2x+1+59=180
<em>*Combine like terms*</em>
5x+60=180
<em>*Subtract 60 from both sides*</em>
5x=120
<em>*Divide both sides by 5*</em>
x=24
Now, we can find <RSP by pluggin 24 in for x.
2(24)+1
48+1
<RSP=49 degrees
Hope this helps!!
Answer:
y = -2x - 3
Step-by-step explanation:
The y-intercept is b = -3.
We read the slope off the graph.
m = -2/1 = -2
y = mx + b
y = -2x - 3
Answer:
The maximum value of P is 34 and the minimum value of P is 0
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Solve the feasible region by graphing
Using a graphing tool
The vertices of the feasible region are
(0,0),(0,5.33),(2,4),(6,0)
see the attached figure
To find out the maximum and minimum value of the objective function P, substitute the value of x and the value of y for each of the vertices in the objective function P, and then compare the results
we have
For (0,0) ---->
For (0,5.33) ---->
For (2,4) ---->
For (6,0) ---->
therefore
The maximum value of P is 34 and the minimum value of P is 0
(86,400 cubic inches) x (1 cubic foot / 1,728 cubic inches) = 50 cubic feet