Hello, I don't know anything about cricket, so I'll be grateful if you help me with constructing a diagram for this problem. A cricket ball is rolled in a straight line down the pitch from immediately alongside one of the stumps at one end of the pitch. find within what angle its direction of motion lies if it does not miss the wickets at the other end. Take the diameter of the ball as 3 in. and the extreme width of the stumps as 8 in.

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles. i'm desperate.

1. are the triangles similar and if so why? what is the value of x? show your work.

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?