What is a theorem called before it is proven? postulate proposition contradiction tautology

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A similarity transformation maps polygon ABCD to polygon PQRS. If the length of AB(WITH THE LINE OVER THE TOP) is 6 and the length of the corresponding side,PQ ( with the line over top) , is 12, what is the scale factor of dilation? A. 2 B. 0.5 C. -6 D. 6

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Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º. Scarlett's height is 1.65 meters, so the height of the dam is

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Under a dilation, a figure is enlarged and its orientation is preserved. Choose the statement that best describes the dilation. A. The image is along the same ray as the preimage but is farther from the center of dilation. B. The image is along the opposite ray from the preimage but is farther from the center of dilation. C. The image is along the same ray as the preimage but is closer to the center of dilation. D. The image is along the opposite ray from the preimage but is closer to the center of dilation.

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The binomials shown below will be multiplied to produce a quadratic trinomial. (x + p)(x + q) Which part of the trinomial will equal the sum of p and q? A. The constant term B. The coefficient of the x-term C. The degree D. The coefficient of the x2-term

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You are buying potato chips at the grocery store. You have a manufacturers coupon for a $1.00 off and the store is offering 20% off if you buy 2 bags. You decide to buy 2 bags of potato chips. How do you compute your final cost? A. Subtract $1.00 off each bag and then multiply by .20 B. Multiply each bag by .20, subtract $1.00 off of each bag, and then add them together. C. Add the two bags together, multiply by .80, and then subtract $1.00. D. Subtract $1.00 from the first bag, then add them together, and then …

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4. Which of the following sets of numbers is a Pythagorean triple? A. 4, 5, 6 B. 8, 15, 17 C. 5, 12, 14 D. 8, 24, 25 Suppose a triangle has side lengths 6, 7, and 10. Which of the following best describes this triangle? A. obtuse B. acute C. right D. Cannot be determined.

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A quadratic equation is shown below: 9x2 - 36x + 36 = 0 Part A: Describe the solution(s) to the equation by just determining the discriminant. Show your work. (3 points) Part B: Solve 2x2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)

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Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h? h = (– b)÷ r h = – b ÷ r h = ÷ r – b h = ÷ r

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1. alicia and jamal completed the following " given : 3x+7=x-5 prove: x=-6 Alicia's workt. 3x+7=x-5 : given 2x+7=-5: subtraction property of equality 2x=-12: subtraction property of quality x=-6: division property of equality jamal's work 3x+7=x-5 : given 7=-2x-5 : subtraction property of equality 12=-2x: addition property of equality -6=x : division property of equality who completed the proof correctly? a) alicia only b) jamal only c) both alicia and jamal d) neither alicia nor jamal

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The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b? A. a + b ≥ 30 b ≥ a + 10 B.a + b ≥ 30 b ≤ a – 10 c. a + b ≤ 30 b ≥ a + 10 D. a + b ≤ 30 b ≤ a – 10