What is the inverse of the logarithmic function f(x)= log2x.

Answer: Choice B.

The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.

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Explanation:

Check out the diagram below. I have added x and y such that

x = base angle

y = vertex angle (located adjacent to center of polygon)

The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.

The two base angles x must add with the vertex angle y to get 180

(angle1)+(angle2)+(angle3) = 180

x+x+y = 180

2x+y = 180

2x+72 = 180

2x = 180-72

2x = 108

This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.

Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.

Answer:

$0.14 less to pay this week.

Step-by-step explanation:

Given:

Cans of black beans usually cost $1.34 each.

This week they are on sale for 5 cans for $6.00.

You bought one can last week and one can this week.

Now, to find the amount more or less to pay this week.

So, we use unitary method to get the price of can this week:

If, 5 cans cost this week = $6.00.

Then, 1 can cost this week =

Thus, the cans of black beans cost $1.20 this week.

And, last week the cans cost $1.34 each.

So, the cost of can this week is less than last week.

Now, we get the difference in the cost of can of this week than last week by subtracting the cost of can last week from cost of can last week:

Therefore, $0.14 less to pay this week.