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1) On sides AB and BC of square ABCD equilateral triangles ABE and BCF are constructed as shown. Prove that points D, E, and F are collinear.
2) In right triangle ABC with the right angle at C, CH is an altitude and AC = AM. Prove that ∠1 = ∠2.
3) In isosceles triangle ABC [AB = AC] P is an arbitrary point on base BC and E is on the extension of side AC so that CE = CP. Prove that ∠AFE = 3∠AEF.
4) The lengths of the sides of a triangle are 2x + 6, 4x, and 8x - 3. For what values of x is this triangle isosceles? Justify your answer.
Attachment:- geometry.pdf
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
Increasing and decreasing intervals.
It would normally follow on from work on sequences and fractions-Ruth was investigating fraction differences. She wrote down this sequence of fractions:
A restaurant manager has 2 liters of white wine that is 12% alcohol. How many liters of grape juice should he add to get a drink that is 10% alcohol?
If the number sold of franchise A is twice the number sold of franchise C, how many of each type did the company sell that year.
What is the probability that the mean interest rate in this sample is within .2 of the national average? Show all work clearly
There is a very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls, what is its name?
A projectile is launched from the ground. The height h in feet of the projectile , t seconds ater being launched, is given by the formula . After the projectile is launched, in how many seconds will it hit the ground?
In each case use the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book with α = .05, and explain your conclusion in simple terms. Also be sure to compute the p-value and interpret.
Tom, Bill, John, and Ed are running for school president. The person in second place automatically becomes vice-president. How many possible outcomes are there in the sample space?
For each of the following properties, find a binary relation R such that R has that property but R^2 (R squared) does not:
the time needed to roast a chicken on its weight. Allow at least 20 min/lb for a chicken weighing up to 6lbs.
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