Answer:
42
Step-by-step explanation:
In short, the sum of the opposite areas are equal.
x + 30 = 24 + 48
x = 42
To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.
If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:
a + b = x
b + c = 24
c + d = 30
a + d = 48
Adding the first and third equations:
a + b + c + d = x + 30
Adding the second and fourth equations:
a + b + c + d = 24 + 48
Therefore:
x + 30 = 24 + 48
x = 42
A. Terms
b. 9
64 to 49 is -15, 49 to 36 is -13, 36 to 25 is -11, 25 to 16 is -9, so the next number is 16-7=9
Answer:
b. interest rate per period
Step-by-step explanation:
We know that
Annual interest rate is APR or (r)
Po is initial amount
n is number of periods
t is time in years
A is the amount after t years
so,
i is the interest rate per period
Hence ,
answer is
i is the interest rate per period
Answer:
C. 24 and 96
Step-by-step explanation:
He starts with 3 and follows the rules. multiply by 2
which numbers could be in devons pattern?
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
24 × 2 = 48
48 × 2 = 96
96 × 2 = 192
The numbers that could be in Devon's pattern includes: 6, 12, 24, 48, 96, 192 etc
Therefore, the answer is C. 24 and 96
