Answer:
Nolan hitted 8 home runs
Step-by-step explanation:
Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.
So, we can write the following equations:
N = 2 * (D - 6)
N + D = 18
Now we can solve the system of equations, using the value of N from the first equation in the second one:
2 * (D - 6) + D = 18
2*D - 12 + D = 18
3*D = 30
D = 10
Now we find N:
N + D = 18
N + 10 = 18
N = 8
So we have that Nolan hitted 8 home runs.
We can express this number in the standard form, which is simply 15xyz+10xy+5x. Alternatively, we can factor a 5 or an x out, receiving 5(3xyz+2xy+x) or x(15yz+10y+5). However, the most effective factorization is to factor out 5x, for a result of 5x(3yz+2y+1).
Answer:
7 and 2
Step-by-step explanation:
7 plus 2 is 9. 7 times 2 is 14.
Answer
Perimeter of rectangle, P = 2L + 2W
P = 36ft
Width, W
Length, L = W + 2ft
Perimeter of rectangle, P = 2L + 2W
Given; P = 36ft
36ft = 2W + 2(W + 2ft)
36ft = 2W + 2W + 4ft
32ft = 4W
8ft = W
L = W + 2ft
L = 8ft + 2ft
L = 10ft
Answer:
Step-by-step explanation:
Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.
So that;
NR ≅ OP (property of a regular polygon)
PM ≅ RM (half of the distance across flats of a polygon)
NM ≅ OM (half of the distance across flats of a polygon)
<NMR ≅ <PMO (vertically opposite angles)
<NRM ≅ <OPM (alternate angle property)
<RNM ≅ <POM (alternate angle property)
This therefore proves that: ΔNRM = ΔOPM
