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._______
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 .
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
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.
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
Which statement best shows the difference between a line and a point? Which statement best shows the difference between a line and a point?
Identify the polynomial written in ascending order. 8x3+ 2x2− 6x − 11 2x2− 11 + 8x3− 6x −6x + 8x3− 11 + 2x2 −11 − 6x + 2x2+ 8x3
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
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
What is the true solution to the equation below? 2 ln e^(ln 2x)-ln e^(ln 10x)=ln 30
Which is the approximate solution to the system y = 0.5x + 3.5 and y = −2/3x + 1/3 shown on the graph?
HELP!!!!!!!!!!! What are two possible measures of the angle below? -90° and 630° –45° and 630° –90° and 225° –45° and 225° Download png
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
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
Use the table to find the residual points. Which residual plot is the correct one for the data? Download png
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
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)
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
What number should be added to both sides of the equation to complete the square? x2 8x = 4 4 8 16 32
It costs $350 to carpet an 8 ft by 10 ft room.At this rate, how many dollars would it cost to put the same carpeting in a 24 ft by 30 ft room?
1.If x2 = 60, what is the value of x? A. plus or minus the square root of 30 B. plus or minus the square root of 60 C. plus or minus 30 D. plus or minus 120 2. A square piece of cheese covers eight square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) A. 2.81 inches B. 2.82 inches C. 2.83 inches D. 2.84 inches 3. Solve x2 = 121. A. 60.5 B. -11 C. 11 D. plus or minus 11
The box plots below show attendance at a local movie theater and high school basketball games: Which of the following best describes how to measure the spread of the data? A. The IQR is a better measure of spread for movies than it is for basketball games. B. The standard deviation is a better measure of spread for movies than it is for basketball games. C. The IQR is the best measurement of spread for games and movies. D. The standard deviation is the best measurement of spread for games and movie Download gif
Which function has an axis of symmetry of x = −2? f(x) = (x − 1)^2 + 2 f(x) = (x + 1)^2 − 2 f(x) = (x − 2)^2 − 1 f(x) = (x + 2)^2 − 1
What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = -8/5 k= - 5/8 k= 5/8 k= 8/5
The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Also, explain what the rate of change means for this situation.People | Cost($)2 | 110 3 | 165 4 | 220 5 | 275 A: 1/55 B: 110/1 C: 1/275 D: 55/1