Solution is 1/y²z²
Step-by-step explanation:
Answer is shown in the attachment.
The probability that he will pull out a nickel, then a quarter, then a nickel is 
<u>Explanation:</u>
Given:
Number of dimes = 3
Number of Quarters = 2
Number of pennies = 2
Number of Nickles = 5
Total coins = 3 + 2 + 2 + 5
= 12
Probability that Armando will pull out Nickel first =
After taking out Nickel, the total number of coins in the pocket will be 11
So,
Probability that he will pull a quarter = 
Total coins remaining = 11 - 1 = 10
Total Nickel remaining = 5 - 1 = 4
Probability that he will take our Nickel = 
Total probability = 
= 
We know that the interior angles of a trapezoid add up to 360 degrees.
Write out an equation to represent this situation;
108+108+2x+2x=360
216+4x=360
4x=360-216
4x=144
x=144/4
x=36
Therefore, the measure of x is 36 degrees.
Hope I helped :)
Answer:
Step-by-step explanation:
Keep in mind that the tangent function is negative in Quadrants II and IV.
Of the three possible answers, the 2nd is invalid because the tangent is positive in Q III.
If the reference angle were in Quadrant II and had the value 30° (second possible answer), then the opposite side would be +1, the adjacent side -√3 and the hypotenuse 2. Based on this, the tangent of theta would be opp / adj, or +1 / (-√3) or -√3/3. This is correct.