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# Mathematics

#### Complete the two-column proof. Given: <2 = <4, m<2 = 110 Proof: m<3 = 70 <2 = <4, m<2 = 110 Given m<2 = m<4 Definition of congruent angles m<4 = 110 b._______ <3 and <4 are a linear pair Definition of a linear pair(shown in diagram) <3 and <4 are supplementary Linear Pair postulate m<3 + m<4 = 180 c.________ m<3 = 70 d._______ Tara Andrews

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#### If a/4 = 9/a, then a²=36 4a = 9a a + 4 = 9 + a a - 4 = 9 - a Rodney Fox

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#### Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi. Kathy Robinson

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#### Find the value of x and the value of y for which (x, 14) and (18, y) are points on the graph. . y = 0.5x+12 . Victoria Fowler

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#### Whichequation has a graph perpendicular to the graph of 7x = 14y -8? 1- y= - 2x-7 2-m y= - 1./2x +4 3- y = 1/2x + 1 4- y = 2x + 9 Blair Lewis

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#### In the formula =int(average(a1:a100)), which would occur first? ____ a. the integer portion of the value is extracted. b. the average of the integer value is calculated. c. the average of the values in the range a1:a100 is calculated. d. the average of the values in the range a1:a100 is added to the integer. Chelsea Hayes

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#### The volume of a fish tank is 40 cubic feet. If the density is 0.4fish over feet cubed, how many fish are in the tank? 16 4 100 10 Ronald Miller

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#### Which statement best shows the difference between a line and a point? Which statement best shows the difference between a line and a point? Ashley Howard

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#### Choose one of the factors of 27x3 512y3. 3 3x − 8y 9x2 − 24xy 64y2(answer 9x2 24xy 64y2 Samantha Barber

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#### Identify the polynomial written in ascending order. 8x3+ 2x2− 6x − 11 2x2− 11 + 8x3− 6x −6x + 8x3− 11 + 2x2 −11 − 6x + 2x2+ 8x3 Dana Keller

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#### Which model shows the correct factorization of x2 + 2x – 8? Eric Morgan

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#### Which of the following represents a dilation? A. image in a lake B. rolling bicycle wheel C. rearranging furniture in a room D. model airplane Jeffrey Rodriguez

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#### Name the intersection of rs and st assume that rs and st are not collinear. a. rs. b.ts c. t d.s Kyle Mckinney

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#### Civil society organizations focus efforts on __________. A. stabilizing a nation's economy by reducing inflation B. finding long-term solutions to poverty and creating a greater quality of life for all people C. improving trade relations between nations D. providing loans to large businesses so they can hire more people Kyle Mckinney

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#### What is the range of the function f(x) = 3x2 + 6x – 8? Blair Lewis

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#### What is the true solution to the equation below? 2 ln e^(ln 2x)-ln e^(ln 10x)=ln 30 x=30 x=75 x150 x=300 Dana Keller

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#### Which is the approximate solution to the system y = 0.5x + 3.5 and y = −2/3x + 1/3 shown on the graph? Kristi Hammond

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#### What is the smallest angle of rotational symmetry for a square? Theresa Perry

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#### How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations? Heather Maxwell

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#### HELP!!!!!!!!!!! What are two possible measures of the angle below? -90° and 630° –45° and 630° –90° and 225° –45° and 225° Download png Rodney Fox

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#### The ages of two exercise groups at a local fitness center are listed below Group A: 37, ,32, 41, 42, 36, 44, 45 Group B: 26, 40, 38, 36, 42, 40, 40, 36 Which statement about the data is true A. The mean age is the same for both groups B. The range of ages is greater in group A than in group B C. The mode of the ages for both groups is 36 D. The median age is the same for both groups Whitney Matthews

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#### Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are both right triangles. No, the triangles share side XZ. No, there is only one set of congruent sides. Donald Ward

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#### Identify the variation as direct, inverse, joint or combined. y = 7x Jennifer Patterson

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#### Solve the equation: 12y = 132. A. y = 11 B. y = 11/12 C. y = 144 D. y = 1/11 C Bethany Evans

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#### Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show the inside of his model, so he sliced the figure as shown. Describe the cross section he created. a. a hexagon b. a pentagon c. a pyramid d. a rectangle Download jpg Kristi Hammond

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#### A chord contains at most how many radii? 0 1 2 3 Blair Lewis

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#### Which equation is equivalent to 3x-4y=8 Ross Pratt

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#### What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 Ronald Miller

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#### Use the table to find the residual points. Which residual plot is the correct one for the data? Download png Donald Ward

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#### Find the quotient of 5/31 divided by 15/23. Reduce your answer to the lowest fraction. A. 75/373 B. 93/23, or 41/23 C. 23/93 D. 115/465 Annie Barnes

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#### What is the maximum percentage of net spendable income that should be set aside for food? Heather Maxwell

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#### What is the shape of the cross section taken perpendicular to the base of a cylinder? Ross Pratt

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#### Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping? x2(x – 9) – 5(x – 9) x2(x + 9) – 5(x + 9) x(x2 + 5) – 9(x2 + 5) x(x2 – 5) – 9(x2 – 5) Whitney Matthews

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#### ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it. Angle A is labeled x plus 16. Angle B is labeled x degrees. Angle C is labeled 6x minus 4. Angle D is labeled 2x plus 16. What equation can be used to solve for angle B? (x + 16) − (6x − 4) = 180 (x + 16) + (x) = 90 (2x + 16) + (x) = 180 (x + 16) − (x) = 90 Download gif Heather Maxwell

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#### What number should be added to both sides of the equation to complete the square? x2 8x = 4 4 8 16 32 Roger Moore

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#### In parallelogram ABCD, what is DC? DC = in.Download png Ralph Lopez

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#### It costs \$350 to carpet an 8 ft by 10 ft room.At this rate, how many dollars would it cost to put the same carpeting in a 24 ft by 30 ft room? Melissa Norris

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#### Use the graph below to fill in the blank with the correct number: f(0) = _______ X, Y graph. X range is negative 6 to 6, and Y range is negative 4 to 4. Plotted points negative 3, 0; negative 2, 2; 0, 1; and 1, negative 2. Numerical Answers Expected! Karen Wright

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#### What is the distance from the origin of point A graphed on the complex plane below? mc021-1.jpg Timothy Norman

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#### 1.If x2 = 60, what is the value of x? A. plus or minus the square root of 30 B. plus or minus the square root of 60 C. plus or minus 30 D. plus or minus 120 2. A square piece of cheese covers eight square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) A. 2.81 inches B. 2.82 inches C. 2.83 inches D. 2.84 inches 3. Solve x2 = 121. A. 60.5 B. -11 C. 11 D. plus or minus 11 Donald Ward

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#### The box plots below show attendance at a local movie theater and high school basketball games: Which of the following best describes how to measure the spread of the data? A. The IQR is a better measure of spread for movies than it is for basketball games. B. The standard deviation is a better measure of spread for movies than it is for basketball games. C. The IQR is the best measurement of spread for games and movies. D. The standard deviation is the best measurement of spread for games and movie Download gif Annie Barnes

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#### Which function has an axis of symmetry of x = −2? f(x) = (x − 1)^2 + 2 f(x) = (x + 1)^2 − 2 f(x) = (x − 2)^2 − 1 f(x) = (x + 2)^2 − 1 Jessie Thompson

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#### Which best describes a compound such as magnesium oxideA. an impure substance that is made up of two elementsB. a mixture of two uncommon substancesC. a mixture of two common elementsD. a pure substance that is made up of different elements Kaitlin Dean

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#### Which is the only center point that lies on the edge of a triangle?the incenter of a right trianglethe incenter of an obtuse trianglethe circumcenter of a right trianglethe circumcenter of an obtuse triangle? Daniel King

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#### What are the next letters? CD HI MN RS Jeremy Wood

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#### Solve x2 – 4 = 5 by graphing the related function. Jodi Brooks

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#### A triangle has sides of lengths 6, 8, and 10. Is it a right triangle? Explain. Craig Stewart

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#### What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = -8/5 k= - 5/8 k= 5/8 k= 8/5 Daniel King

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#### Which theorems or postulates allow you to find the value of y? Megan Page

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