Answer:
1. y + 10 - 3/2y = -y/2 + 10
2. 2r+ 7r-r - 9 = 8r - 9
3. 7 + 4p-5+p+2q = 2 + 5p + 2q
Step-by-step explanation:
basically you can add terms that have the same variable
integers can be added together, Xs can be added, Zs, Ys, As, Bs, Cs, you get the point
1. y + 10 - 3/2y = -y/2 + 10
2. 2r+ 7r-r - 9 = 8r - 9
3. 7 + 4p-5+p+2q = 2 + 5p + 2q (do not add different variables p and q ) together
try 4-6 on your own to get this skill down, if you need help with those just let me know
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.
I think it’s A. i’m not very sure tho
Answer:
180 inches
Step-by-step explanation:
25 inches per minute
in 1 hour (60 minutes) :
25*60 = 1500
28 inches per minute
in 1 hour (60 minutes) :
28 * 60 = 1680
1680-1500 = 180
YZ = 16. The triangles are congruent. This would be AAS so YZ = 16 because of CPCTC.
