Mathematics, 25.07.2019 14:00 hjgjlgkjg
Consider the diagram and the paragraph proof below. given: right △abc as shown where cd is an altitude of the triangle prove: a2 + b2 = c2 because △abc and △cbd both have a right angle, and the same angle b is in both triangles, the triangles must be similar by aa. likewise, △abc and △acd both have a right angle, and the same angle a is in both triangles, so they also must be similar by aa. the proportions and are true because they are ratios of corresponding parts of similar triangles. the two proportions can be rewritten as a2 = cf and b2 = ce. adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. applying the converse of the distributive property results in the equation a2 + b2 = c(f + e). which is the last sentence of the proof? because f + e = 1, a2 + b2 = c2. because f + e = c, a2 + b2 = c2. because a2 + b2 = c2, f + e = c. because a2 + b2 = c2, f + e = 1.
Answers: 1
Mathematics, 21.06.2019 19:00
What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62
Answers: 2
Mathematics, 21.06.2019 19:30
Factor the following expression. 27y3 – 343 a. (3y + 7)(9y2 + 2ly + 49) b. (3y – 7)(9y2 + 2ly + 49) c. (3y – 7)(932 – 217 + 49) d. (3y + 7)(92 – 2ly + 49)
Answers: 1
Mathematics, 21.06.2019 19:30
Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?
Answers: 3
Consider the diagram and the paragraph proof below. given: right △abc as shown where cd is an altit...
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