Mathematics Homework Help

University of Nebraska Acute Scalene & Obtuse Isosceles Triangle Questions

 

Select the response that best completes the statement or answers the question.

1. Which ordered pair is not a solution of y = -9x + 1?

A. (1,-5) B. (2,1) C.(-1, 10) D. (-3, -1)

2. Which of the following ordered pairs is a solution to 3x – 4y = -1?

A. (3, 2) B.(4,3) C. (5, -4) D. (5, 4)

3. To the nearest degree, what is the measure of the central angle that

represents 32% in a circle graph?

A. 32°

B. 115° C. 328° D. 148°

4. Which two symbols cannot represent the same figure?

A. FD and DF B. XY and YX C. PQ and QP

D. RT and TR

5. AABC has vertices A(2, 3), B(6, 7), C(-3,3). AA’B’C’ is the image of AABC

after the translation (x, y)” (x + 5, y-1). What are the coordinates of B’?

A. (11,6) B.(-2, 4) C.(-1,3) D. (2,5)

6. What is the slope of the line that passes through points (-1, -14) and (5, 4)?

7. If each leg of a right triangle has a length of 6 inches, how many lines of

symmetry does the triangle have?

A. 1 line B. 2 lines C. 3 lines D. 6 lines

8. What is the slope of this line?

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9. What is the slope of the line that contains the points A(2, 4) and B(6, 1)?

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10. A truck tire travels about 11 feet in 1 full rotation. What is the diameter of the

wheel, to the nearest inch?

A. 3.5 in. B. 42 in. C. 94 in. D. 132 in.

11. What is the m26, given that lines A and B are parallel?

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B.60° C. 90°

D. 120°

12. If 41 and 42 are complementary angles, what could their measures be?

A. 36° and 24° B. 52° and 38° C. 61° and 61° D. 89° and 91°

13. The measure of two angles of a triangle are 589 and 28°. Classify the triangle

by its angles.

A. obtuse

B. acute

C. right D. equilateral

14. What type of triangle will have no congruent sides and one right angle?

A. obtuse isosceles triangle B. acute scalene triangle C. right equilateral triangle D. right scalene triangle

15. Which ordered pair is the solution of the linear system y= 2x + 16 and y = -x

+ 1?

A. (0, 16) B. (2, -1) C.(-5, 6) D.(-8,9)

16. Which of the following is never a quadrilateral with 4 right angles?

A. parallelogram B. rectangle C. square D. trapezoid

17. What is the slope of the line defined by 6x + y = 10?

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18. What is the domain of the relation {(8, 2), (6, 4), (4, 2), (2, 4)}?

A. 2,4 B. 2, 4, 6, 8 C.6,8 D. 2, 4, 8

19. If the measures of two angles of a triangle are 28° and 58°, what is the

measure of the third angle?

A. 28° B. 16° C. 94° D.58°

20. Which of the following is an angle vertical to LCAD in this diagram?

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A. ZGAF B. ZCAE C. ZGAC D. ZFAE

21. What is the approximate circumference of a circle with a radius of 5.7 ft?

A. 6 ft B. 12 ft C. 18 ft D. 36 ft

22. A Ferris wheel is 40 feet in diameter. Which is closest to the distance

traveled in three rotations by a point on the Ferris wheel? A. 125.6 ft

B. 251.2 ft

C. 376.8 ft

D. 753.6 ft

23. The ratio of the side lengths of a triangle is 4: 5: 6. Classify the triangle by its

side lengths. A. scalene B. equilateral C. isosceles D. acute

24. In AABC, MZA = 45°, and m2C = 115o. What type of triangle is SABC?

A. acute B. equilateral C. right D. obtuse

25. Find the perimeter of a square that has a side measure of 45 cm.

A. 90 cm

B. 135 cm C. 180 cm D. 225 cm

26. In the prism below, what is the relationship between CD and EF?

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A. parallel B. intersecting

C. skew

D. perpendicular

27. The graph of which of the following equations would have the greatest slope?

A. y = 2x B. y = x + 12 C. y = 15x – 1 D.y = -8x + 4

28. Which of the following relations is a function?

A. {(2, -3), (-3, 2), (2, 3), (-2,3)} B. {(5, -4), (-4, 5), (-5, 4), (4, -5)} C. {(8,-5), (-5, 8), (-5, -8), (-8,5)} D. {(-7, 6), (6, –7), (-7, 9), (10,3)}

29. Which ordered pair is a solution of the equation y=-3x + 4?

A. (3,-2) B.(-2, 10) C. (-4,-8) D. (8,9)

30

Which of the following ordered pairs is not a solution of 5x – 4y = 7?

A. (-9, -13) B.(-5, -9) C. (7,7) D. (11, 12)

31. What is the y-intercept of the graph of -x + 4y = -24?

A. -6

D. 24

32. The perimeter of a triangle is 36 feet. The length of a side is 10 feet. The

lengths of the other two sides are equal. How long is each of the other two sides?

A. 26 ft

B. 13 ft C. 23 ft

D. 10 ft

33. You weave wall hangings. You sell small ones for $30 and large ones for $50.

Your goal is to make $1,000. Let x represent the number of large wali hangings you sell, and let y represent the number of small wall hangings you sell. Which equation best models the situation? A. 50x + 30 = 1,000y B. 30x + 50y = 1,000 C. 1,000x – 30y = 50 D. 50x + 30y = 1,000

34. What is the y-intercept of the graph of 6x + 4y = 28?

35. Which ordered pair is a solution of the inequality 6x + 3y < 36?

A. (3, 8) B.(4,6) C. (6,4) D.(-2, 12)

36. If a regular octagon has a perimeter of 96 mm, what is the length of each

side?

A. 16 mm B. 24 mm C. 12 mm

D. 19.2 mm

37. Which ordered pair is the solution of the system of equations 2x + y = -10

and y = 2x + 2? A. (1, -8) B.(-1,0) C.(-3,-4) D.(3, 4)

38. When each member of a relation’s domain is paired with exactly one member

of the range, the relation is a

A. slope B. solution C. function

D. linear equation

39. Which of the following best identifies the triangle shown here?

Metro

A. obtuse B. acute scalene C. acute D. obtuse isosceles

40. What is the slope of the line through points (2, 3) and (4, 5)?

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41. What kinds of lines always intersect to form 90° angles?

A. intersecting B. parallel C. perpendicular

D. skew

42. Which point is a solution of the system? y = x + 2

y = 2x – 2

A. (6,4) B. (1,3) C. (4,6) D. no solution

43. What is the y-intercept of the line defined by y = 3x – 6?

A. -6

If 23 and 24 are supplementary angles, what could their measures be?

A 110° and 110° B. 97° and 83° C. 57o and 33° D. 82° and 41°

45. A circle has a radius of 3.6 cm. Find the circumference to the nearest tenth,

using 3.14 for it

A. 11.3 cm B. 22.6 cm C. 19.5 cm D. 29.5 cm

What is the slope of the line defined by -5x + y =

?

47. In the diagram, the m2 1 = 58°; what is the M22?

A. 32° B. 122° C. 107° D. 58°

48. Which of the following ordered pairs is a solution to x + y< 6; y = 7x – 3?

A. (1,4) B.(3,6) C. (2,5) D. (2, -1)

49. Which ordered pair is the solution of x – 2y = 3 and 3x + y = 2.

A. (1, -1) B. (-1,1) C. (3, 2)

D. (2. –

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