Answer:
The answer is (C)
Figure A was dilated by a scale factor of 2, with point N as a center of dilation, and then rotated about 90° counterclockwise about N to form figure B
Step-by-step explanation:
∵ Figure B larger than figure A
∴ The scale factor > 1
∵ Figure A is in the first quadrant and figure B is in the second
quadrant and the horizontal side in A become vertical side in B
∴ Figure A rotated 90° anticlockwise
∴ The answer is C
In the question, we are given two polygons, and we are told that they are similar. Well, first, we can set up a proportion using the given sides and the side that we need to find. A suitable proportion would be

. Now, in order to solve for

we cross multiply. This gives us

. Next, we add

to both sides. This gives us

, and when we divide both sides by

, we get that

. Hope this helped!
Current price is $14.98.
$14.98/.50 = $29.96. This was the price after the 20% mark down. Now calculate the original as follows:
$29.96/.80 = $37.45. This is the original price before all the discounts.
Answer:
21°
Step-by-step explanation:
Since the interior angles of a triangle always add up to 180°, and you already know that one angle is 100°, you know that the sum of the remaining two angles is 80°. Therefore, you can set up an equation:
x° - 4 + 3x° = 80
x° + 3x° = 84
4x° = 84
x° = 21°