Answer:
x = 6
Step-by-step explanation:
A = 1/2bh
36 = 1/2(12)(x)
x = 6
12 groups in a 1:1 ratio of boys:girls. there are only 12 girls so one in each group + 1 boy per group gives you 12 groups. with a remainder of 6 boys
Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
D the rest would be impossible to recreate
Hey there!
To find the greatest common factor you will need to find all the factors of 36 and 54. (A factor is a number that can be divided into another number).
54 - 1, 2, 3, 6, 9, 18, 27.
36 - 1, 2, 3, 4, 6, 9, 12, 18.
As you can see here, the factor that is the greatest is 18. Therefore, that is your answer.
Hope this helps! :)
