C. is the answer.
The modulus or absolute value function of a real number x is the non-negative value of x without regard to its sign.
The only correct option is C. because 15 is indeed greater than 12.
Options A., B., D. and E. are wrong.
Answer:
The tax Jenna and Richie pay on the gifts is <u>$3.85</u>.
Step-by-step explanation:
Given:
Cost of scarf = $12.45.
Cost of necklace = $35.65.
State tax charges sale tax = 8%.
Now, to find the sales tax paid on the gifts.
So, adding the price of the gifts:
Thus, the total amount of the gifts = $48.10.
Now, getting the sales tax the state charges:
<em><u>The tax nearest to cent = $3.85</u></em>
Therefore, the tax Jenna and Richie pay on the gifts is $3.85.
Subs x = -5 into f(x) = 4
f(-5) = 4 (answer)
Answer: 30 degrees
This is the minimum amount of rotation.
Why this value? Well because 360/12 = 30
Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.
For a square, we can rotate it 90 degrees and we can say 360/4 = 90
So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).
So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.
