Answer:
A series of translations to map at least two angles of the image to two angles of the pre-image.
Step-by-step explanation:
we have 2 figures: △ABC and △A′B′C′
△A′B′C′ is the dialation of △ABC
we have to prove that the figures are similar using AA similarity
AA = (Angle-Angle)
Option D is correct.
Answer:
<h2>8x - 1</h2>
Step-by-step explanation:
Four x: 4x
Two x: 2x
Two times two x: 2(2x) = 4x
Four x plus two times two x minus one: 4x + 2(2x) - 1 = 4x + 4x - 1
<em>Combine like terms:</em> = (4x + 4x) - 1 = 8x - 1
The answer is A. This is because heat, pressure, or differences in density are some methods used to separate homogeneous mixtures.
Answer:
Step-by-step explanation:
- Considering for for stronger team, given that: P(winning) = 0.6
- This implies that Probability that the stronger team wins the first 4 games or Probability that the stronger team wins 3 games in the first 4 games and Probability that the stronger team wins the fifth game or Probability that the stronger team wins 3 of the first 5 games and Probability that the stronger team wins the 6th game or Probability that the stronger team wins 3 games in the first 6 games.
- This is the likely possibilities for the probability that the stronger team wins the series.
- Applying the concept of combinatorics and binomial probability(P(x) = r) ; nCr x P^r x q^n-r
- where q = probability of failure, probability of not winning = 1 - 0.4 = 0.6
- = 0.6^4 + 4C1 x 0.6^4 x 0.4 + 5C2 x 0.6^4 x 0.4^2 + 6C3 x 0.6^4 x 0.4^3 = 0.710208
- Therefore, probability that the stronger team wins the series = 0.710208
Answer: the original length was
3 1/2 cm longer than the length of the dragon
Step-by-step explanation:
The original length of the paper is
6 cm. Mia folds the 6 cm piece of into a dragon that is 2 1/2 cm long. Converting 2 1/2 cm to decimal, it be comes 2.5cm
To determine How much longer the original paper was than the dragon, we would determine difference in length between the original paper and the dragon. It would be
6 - 2.5 = 3.5 = 3 1/2 cm