Answer: 3
Step-by-step explanation:
Feom the question, we are informed that students are making ornaments and each takes 1/2 of a piece of Bristol board and that they go to the cupboard and find 1 1/2 pieces of Bristol board.
The number of ornaments that they can make will be calculated by dividing 1 1/2 by 1/2. This will be:
= 1 1/2 ÷ 1/2
= 3/2 ÷ 1/2
= 3/2 × 2/1
= 3
They can make 3 ornaments
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
- translation (aka shifting)
- rotation
- reflection
Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
Jesus ew math bruh. Anyway let’s sing the campfire
Song
We know that x = 30 + y, because the problem says that there are 30 more football players than basketball players.
Each group has 10 more members added: x + 10 and y + 10. We can write x + 10 as 30 + y + 10 or 40 + y.
The ratio (40 + y)/(y + 10) = 3/2. You can cross multiply to get:
80 + 2y = 3y + 30
Combine like terms to get:
y = 50 members on the basketball team. Since there are 30 more members on the football team, you just add 30 to 50 to get x = 80 members on the football team.
