Answer:
x = 63
Step-by-step explanation:
This is a right angle, and we know that there are 90 total degrees in a right angle. Because of this information, we know that the degrees of both angles, added together, should come out to 90. This reasoning looks like this:
Now, it's much easier to solve for x. I'll start by removing the parentheses and combining like terms.
Now, let's remove 27 both sides to isolate x and figure out what it's equal to.
So, the measure of x is 63 degrees. We can make sure this is correct by using our equation:
Is ? Yes, because 63 + 2 is equal to 65, and 65 plus 25 is equal to 90. So our answer is correct.
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Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.