Answer:
A dilation with a scale factor less than 1 and then a reflection.
Step-by-step explanation:
A dilation with a scale factor less than 1 and then a reflection is the composition of similarity transformations maps polygon ABCD to polygon A'B'C'D.
Answer:
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<em>The team must win 2 games to have a win : loss ratio o 2.</em>
Step-by-step explanation:
- <u>Ratio win : loss, r</u>:
r = total wins / total losses
Call n the number of new wins:
Tw =number of wins until so far + number of new win = 6 + n
Tl = number of losses so far + number of new losses = 4 + 0 = 4
r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2
Solve for n:
- (6 + n ) = 4 × 2
- 6 + n = 8
- n = 8 - 6
- n = 2
Hence,<em> the team must win 6 more games.</em>
- <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.
Answer:
1.25% of all the 8,000 people who tried the shampoo had a mild allergic reaction
Step-by-step explanation:
Divide 8,000 by 64 to get the unsimplified percentage
Then put a dot between 1 and 2 to get the percentage to get the percentage, 1.25%
Answer:
They're both proportional because everything's moving at a constant rate. Think of it this way: If a car travels for 50 miles per hour and the speed never changes, it's proportional. If that car at hour 1 traveled at 50mph and then at hour 2 traveled at 60mph, it would be nonproportional since the speed is increasing and changing.
Given:
Markers are sold in packages of 12 and pens are sold in packages of 8.
To find:
Least amount of markers and pens Rick needs to buy to have an equal number of markers and pens
Solution:
To find the least amount of markers and pens, we need to find the LCM of 12 and 8.
Prime factors of 8 and 12 are
To find the LCM, multiply all factors but the common factors are included only once.
Therefore, the least amount of markers and pens Rick needs to buy to have an equal number of markers and pens is 24.
