The longest side of the smaller triangle (24) is twice the length of its shortest side (12), so we expect the longest side of the larger triangle (x) to be twice the length of its shortest side (16)
... x = 2×16 = 32 . . . . corresponds to selection C.
Answer:
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
S = 12/(1 -3/5) = 12·5/2 = 30
The series is convergent and has a sum of 30.
For this case, we must find the inverse of the following function:
We follow the steps below:
We exchange the variables:
We put the variable y on the left side of the equation:
We apply logarithm properties:
So:
Answer:
Option B
Answer:
Your answer is 3x = 15
Step-by-step explanation:
3x = 15
Since 3 is being multiplied by x, we divide both sides by 3. 3x/3 cancels out, and you're left with x.
15/3 = 5
x = 5
This is my take using algebraic methods.
