X = number of correct answers
Y = number of incorrect answers
School A has 174 points and school B has 102 points.
A = 174
B = 102
School A has the same number of correct and incorrect answers during the final round.
A = 174 + 10X - 6Y
School B gives no incorrect answers and the same number of correct answers as school A.
B = 102 + 10X
The contest ends with the two schools tied.
Score = 174 + 10X - 6Y = 102 + 10X
174 + 10X - 6Y = 102 + 10X
Answer:
D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.
Step-by-step explanation:
After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.
Answer:
choice C is correct
Step-by-step explanation:
The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.
Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are <em>not similar</em>. (The ratios of side lengths must be the same for the figures to be similar.)
___
Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.
Step-by-step explanation:
you must have made a typo here.
none of the answer options are correct for the given problem.
let me just show you what you told me, and how I can solve at least this :
2a/4 = b/4
this simply means (multiply both sides by 4) :
2a = b
so, 5b is then (multiplying both sides by 5) :
5×2a = 5b
10a = 5b
but again, "10a" is not among the offered answers.
so, I don't know if you made a mistake with the basic problem or with the answer options.
