Answer:
C
Step-by-step explanation:
For the lines to be parallel, then the 2 given angles are alternate and congruent, thus
15x - 46 = 9x + 8 ( subtract 9x from both sides )
6x - 46 = 8 ( add 46 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9 → C
9514 1404 393
Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
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In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
Answer:
Correct choice is D
Step-by-step explanation:
Given the system of two equations:
Fro mthe first equation
Substitute into the second equation instead of y:
Note that then the second equation will take look
First term: -9
Common difference: 7
a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }
Check: what is the first term? let n=1. Then a(1) = -9 + 7(1-1) = -9.
This is correct.