the first is no triangles, second Multiple Triangles, third Multiple Triangles
Step-by-step explanation:
Answer:
Minimum value of
is 80 at (1.5,2.5)
Step-by-step explanation:
We are given
The objective function is, Minimize 
With the constraints as,

So, upon plotting the constraints, we see that,
The boundary points of the solution region are,
(1,5), (1.5,2.5) and (4,2).
So, the minimum values at these points are,
Points
(1,5)
i.e. p = 140
(1.5,2.5)
i.e. p= 80
(4,2)
i.e. p = 92
Thus, the minimum value of
is 80 at (1.5,2.5).
Answer:
Step-by-step explanation:
There are two distinct statements but put together, it is:
- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.
For Susan Collins, she advocates gun control too.
So the symbolic or algebraic representation is:
(SC = DF): (MC ~ AE), (PM ~ WA)
OR
(GC = GC): (MC ~ AE), (PM ~ WA)
Where ":" represents "such that" or "given that"
" ~ " represents "support or promotion of"
It can now be read thus;
Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.
Answer:
x = 15
m∠1 = 45°
Step-by-step explanation:
2x + 15 + 135 = 180
2x = 180 - 15 - 135
2x = 30
x = 30/2
x = 15
180 - 135 = 45°