Answer:
81
Step-by-step explanation:
6² + 3(3) x 5
using PEMDAS is
36 + (9 x 5)
36 + 45 = 81
To solve the question, first we will subtract 41 from 791, and we will get 750. Next, we can divide by 5 to figure out how many lots are for purchase, and we get 150! There are 150 five-acre lots available!
Answer:

Step-by-step explanation:
GIVEN : In ΔPQR
S is the mid point of QP
U is the mid point of PR
T is the mid point of QR
Solution :
i) is true i.e 
Refer the attached file
By mid segment theorem i.e. In a triangle, the line joining the midpoints of any two sides will be parallel to the third side and that same line joining the midpoints is also half of length of third side .
UT is the line joining the two mid points . So, by theorem given above UT is parallel to PQ and 1/2QP=UT.
So, (i) statement is true i.e. 
Answer:
The answer to 3.) is Graph B.
Step-by-step explanation:
I hope this helps!
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.