# 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

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

Rodney Fox

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

Kathy Robinson

#### 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

#### 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

#### 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

#### 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

#### 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

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

Samantha Barber

#### 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

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

Eric Morgan

#### 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

#### 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

#### 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

#### 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

#### 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

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

Theresa Perry

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

Heather Maxwell

#### 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

#### 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

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

Jennifer Patterson

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

Bethany Evans

#### 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

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

Ronald Miller

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

Donald Ward

#### 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

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

Heather Maxwell

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

Ross Pratt

#### 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

#### 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

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

Roger Moore

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

Ralph Lopez

#### 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

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

Timothy Norman

#### 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

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

Craig Stewart

#### 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

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

Megan Page

#### The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Also, explain what the rate of change means for this situation.People | Cost($)2 | 110 3 | 165 4 | 220 5 | 275 A: 1/55 B: 110/1 C: 1/275 D: 55/1

Ronald Miller

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