The largest common divisor (GCD) here is 24, indicating how many identical sets can be created. To find this using Euclid's algorithm, you start by dividing the larger number (72) by the smaller one (48) and check the remainder, which is 24. Since 24 evenly divides all the numbers (48, 72, 120), it serves as the GCD. Each of the 24 sets will include 2 blue crayons, 2 green crayons, 2 yellow crayons, 3 red crayons, and 5 colored pictures.
The result is 10/117. We have three distinct letters and four unique non-zero digits. For letters, we have 26 options from A to Z. For digits, there are 9 choices from 1 to 9. As all selections must be distinct, we find the total number of codes as 26 × 25 × 24 × 9 × 8 × 7 × 6. For the specified code, we focus on the combinations with 5 vowels and 4 even digits, leading to a calculation of 5 × 25 × 24 × 8 × 7 × 6 × 4. Probability can thus be expressed as the ratio of these outcomes, yielding: 5 × 25 × 24 × 8 × 7 × 6 × 4 divided by 26 × 25 × 24 × 9 × 8 × 7 × 6.
Answer:
y = 2.09x^2 + 0.33x + 3.06
Detailed explanation:
Answer:
Option C is the right choice.
Step-by-step explanation:
The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.
We know that rectangles possess four right angles.
To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.
In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem 
In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem
Thus, we find that
and option C is the correct choice.