In this statement the only true statement is
alternate exterior angles are always congruent
corresponding angles and alternate exterior angles are also congruent
the other angles mentioned are supplementary NOT complementary
hope this helps
Answer:
The maximum value of C is 68
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Find out the area of the feasible region, using a graphing tool
The vertices of the feasible region are
(0,0),(5,19),(5,0)
see the attached figure
To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results
For (0,0) ----->
For (5,19) ----->
For (5,0) ----->
therefore
The maximum value of C is 68
It depends where you introduce constant
Exponential function: f(x) = e^x
y = e^x + c ----> shift function up c units
y = e^(x−c) ----> shift function right c units
y = e^(cx) ------> dilates function horizontally by factor of 1/c
y = c e^x -------> dilates function vertically by factor of c
Answer:
200.96 = area of Shaded portions.
Step-by-step explanation:
Area of the 2 stars.
I don't know if you can see this or not, but the 4 quarter circles surrounding the star is found by subtracting a full small square surrounding the star
Area of 1 star = 4 * (1/4) pi * r^2
Area of 1 star = 3.14 * 4^2
Area of 1 star = 50.24
Area of both stars = 100.48
Area of the 4 semicircles at each end
The 2 semicircles at one end figure = 1 circle
The two circles gives the total area of the 4 semicircles.
Area 1 circle = pr * r^2
Area 1 circle = 3.14 * (8/2)^2
Area 1 circle = 50.24
There are 2 such circles = 100.48
Total area of both results
Total Area = 100.48 + 100.48
Total Area = 200.96
It’s so that the number of the pieces that you add or subtract is all the same size