Answer:
Option 1
Step-by-step explanation:
![\sqrt[4]{ {a}^{6} {b}^{4} {c}^{8} } \\ = {a}^{6 \div 4} {b}^{4 \div 4} {c}^{8 \div 4} \\ which \: gives \: option \: 1](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20%7Ba%7D%5E%7B6%7D%20%20%7Bb%7D%5E%7B4%7D%20%20%7Bc%7D%5E%7B8%7D%20%20%7D%20%5C%5C%20%20%20%3D%20%7Ba%7D%5E%7B6%20%20%5Cdiv%204%7D%20%20%7Bb%7D%5E%7B4%20%5Cdiv%204%7D%20%20%7Bc%7D%5E%7B8%20%5Cdiv%204%7D%20%5C%5C%20which%20%5C%3A%20gives%20%5C%3A%20option%20%5C%3A%201)
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.
Answer:
QR=RS
Step-by-step explanation:
She knows that PRQ=TRS because of vertical angles.
She needs to know the length of the lines QR and RS are equal, that is the line between the two angles.
Answer:
61.538
Step-by-step explanation:
Answer:
-7/2 or -3.5
Step-by-step explanation:
Make the equation first
7x-1 = 5x-8
7 = -2x
-7/2 = x
