The correct answer is 7/16
The correlation coefficient r of the data set is <em>-0.28</em>
<u>Given</u>:
The two angles A and B are vertical angles.
The measure of ∠A is x and the measure of ∠B is 5x - 20.
We need to determine the measure of ∠A.
<u>Value of x:</u>
Since, the angles A and B are vertical angles and the vertical angles are always congruent.
Thus, we have;
Substituting the values, we have;
Adding both sides of the equation by 80, we have;
Thus, the value of x is 20.
<u>Measure of ∠A:</u>
The measure of ∠A can be determined by substituting x = 20 in the measure of angle A.
Thus, we get;
Thus, the measure of ∠A is 20°
Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to .
In a 45-45-90 triangle, the hypotenuse is equal to this means in order to find missing side length a, we have to multiply this will give us 4
so the missing side lengths are, and
You must use the Lease Common Multiple technique.
We factor them first...
500 = 5 x 5 x 5 x 2 x 2
800 = 5 x 5 x 2 x 2 x 2 x 2 x 2
1,200 = 2 x 2 x 2 x 2 x 3x 5 x 5
Then we express them with exponents:
500 = 5³ x 2²
800 = 2⁵ x 5²
1,200 = 2⁴ x 5² x 3
Now we multiply the biggest exponents.
5³ x 2⁵ x 3 = 12,000
Answer: The 12,000th customer. Hoped this helped :)