Which expressions are equivalent to
4(−5z+2)+(−6)4(-5z+2)+(-6)
4(−5z+2)+(−6)
4, left parenthesis, minus, 5, z, plus, 2, right parenthesis, plus, left parenthesis, minus, 6, right parenthesis
?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A

20z−220z-2
20z−2
20, z, minus, 2

(Choice B)
B

2(−10z+1)2(-10z+1)
2(−10z+1)
2, left parenthesis, minus, 10, z, plus, 1, right parenthesis

(Choice C)
C

None of the above

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: