Answer:
(2,1)
Step-by-step explanation:
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Answer:
90 degrees
Step-by-step explanation:
360/4=90
Answer:
scale factor= 4.7
Step-by-step explanation:
47/10= 4.7
32.9/7= 4.7
28.2/6= 4.7
To figure out the scale factor for the smallest to the largest triangle, divide the larger number by the smaller number (of the same side).
If you wanted to get the scale factor of the largest to smallest triangle, you would just do the opposite.
ex. 10/47, 7/32.9...
