439996
Pregunta 1
Pregunta
LEVEL 3: In the figure, RZ and WT are transversal of line s and t. If m∠ RVT = 5x + 6, m∠ VWY = 8x + 7, and m∠ WYZ = 16x - 8, find x.
Image:
tran.JPG (image/JPG)
Respuesta
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x=7
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x=14
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No Solution
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x=5.5
Pregunta 2
Pregunta
LEVEL 2: Make a conjecture for based on this information: For points P, Q, and R, PQ = 9, QR = 15, and PR = 12.
Respuesta
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Forms a (right) triangle with a perimeter of 47 units. (Pythagorean Triple)
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Forms a (right) triangle with a perimeter of 36 units. (Pythagorean Triple)
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Forms a line with a length of 36 units.
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Forms a line with a length of 47 units.
Pregunta 3
Pregunta
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic. a) It rains this Sunday, and we have a picnic.
Respuesta
- True
- False
Pregunta 4
Pregunta
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic. b) It rains on Sunday and we will not have a picnic.
Respuesta
- True
- False
Pregunta 5
Pregunta
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic. c) It doesn't rain this Sunday, and we have a picnic.
Respuesta
- True
- False
Pregunta 6
Pregunta
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic.d) It doesn't rain this Sunday, and we don't have a picnic.
Respuesta
- True
- False
Pregunta 7
Respuesta
-
T,T,T,T,T,T,T,T
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F,F,F,F,F,F,F,F
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T,F,T,F,T,F,T,F
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T,T,F,F,T,T,F,F
Pregunta 8
Pregunta
LEVEL 2: Decide what type of relationship the lines with the given equations have: \[y=\frac{1}{2}x+3\] \[y=\frac{1}{2}x-3\]
Respuesta
-
perpendicular
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parallel
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neither
Pregunta 9
Pregunta
LEVEL 2: \[GK bisects ∠FGH.\] If m∠FGH = 3v - 4 and m∠kgh = 2v+7, find v.
Image:
b.JPG (image/JPG)
Respuesta
-
33
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58
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29
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11
Pregunta 10
Pregunta
LEVEL 2: What are the steps for the following Triangle Proof? Given: WY ≅ XV, VW ┴ WX, YX ┴ WX ... Prove: ΔXWV ≅ ΔWXY
Image:
m.JPG (image/JPG)
Respuesta
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\[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.) Given \[2.) ∠VWX ≅ ∠YXZ\] 2.) Definition of Perpendicular Lines \[3.) ∠VWX and ∠YXZ = right angles\] 3.) Right Angle Congruency\[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) SAS congruency
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\[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.) Given \[2.) ∠VWX ≅ ∠YXZ\] 2.) Right Angle Congruency \[3.) ∠VWX and ∠YXZ = right angles\] 3.) Definition of Perpendicular Lines \[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) SAS congruency
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\[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.)Given \[2.) ∠VWX and ∠YXZ = right angles\] 2.) Definition of Perpendicular Lines \[3.) ∠VWX ≅ ∠YXZ\] 3.) Right Angle Congruency \[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) Hypotenuse Leg congruency
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\[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.)Given \[2.) ∠VWX and ∠YXZ\] are right angles 2.) Right Angle Congruency \[3.) ∠VWX ≅ ∠YXZ\] 3.) Definition of Perpendicular Lines \[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) AAS congruency
Pregunta 11
Respuesta
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\[ABC, CBG, ADI, FGH\]
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\[CBA, DAF, HGF\]
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\[BAD, GFI, CBG, GFA\]
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\[DAB, CBG, FAD\]
Pregunta 12
Respuesta
-
\[BC, AD, HI\]
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\[AB, CD\]
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\[AB, HI\]
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\[AB, CD, HI\]
Pregunta 13
Pregunta
LEVEL 2: Conjecture: Adjacent angles are supplementary. (show counterexample)
Respuesta
-
InvalidImage:false (image/jpg)
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ValidImage:supp (image/jpg)
Pregunta 14
Pregunta
LEVEL 2: If m∠4 = 78°, and m∠6 = 78°, state weather these two lines are parallel or not. Why or why not?
Respuesta
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parallel; (m∠2) 78°≅ (m∠6) 78°
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not parallel; (m∠2) 78° + (m∠6) 78° ≠ 180
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parallel; (m∠2) 78° + (m∠6) 78° = 156°
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not parallel; (m∠2) 78° + (m∠6) 78° ≠ 156°
Pregunta 15
Pregunta
LEVEL 1:What type of angle pair is ∠4 and ∠6?
Respuesta
-
alternate interior
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alternate exterior
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consecutive interior
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corresponding
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no angle pair
Pregunta 16
Pregunta
LEVEL 2:What are the 6th and 7th step of this Isosceles Triangle Proof? Given: X is the midpoint of VW and VW ┴ UX ... Prove:∠V≅∠W.
Image:
triangle.JPG (image/JPG)
Respuesta
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6.) = ASA congruency ... 7.) =CPCTC
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6.) = SSS congruency ... 7.) =CPCTC
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6.) = CPCTC ... 7.) =SAS congruency
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6.) = SAS congruency ... 7.) =CPCTC
Pregunta 17
Pregunta
LEVEL 2:What are the 3rd and 4th steps of this Isosceles Triangle Proof? Given: K is the midpoint of IJ, HJ ≅ HI
Image:
h.JPG (image/JPG)
Respuesta
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3rd = ΔHKI ≅ ΔHKJ (SSS concurrency), 4th = HI ≅ HJ (CPCTC)
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3rd = IK ≅ KJ (Definition of midpoint), 4th = HI ≅ HJ (CPCTC)
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3rd = HK ≅ HK (Reflexive Property), 4th = HI ≅ HJ (CPCTC)
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3rd = IK ≅ KJ (Definition of midpoint), 4th = HK ≅ HK (Reflexive Property)
Pregunta 18
Pregunta
LEVEL 2:In the figure, line AB || CD. Find x and y. (HINT: Quadrilaterals have a angle sum of 360°. )
Image:
TRII.JPG (image/JPG)
Respuesta
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x = 32, y = 140
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x = 140, y = 52
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x = 52, y = 140
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x = 38, y = 154
Pregunta 19
Pregunta
LEVEL 1:A line segment has the endpoints V(0, -5) and W(-2, 5). Find the coordinates of its midpoint.
Respuesta
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M = (1, 2.5)
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M = (2.5, 1)
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M = (0, -1)
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M = (-1, 0)
Pregunta 20
Pregunta
LEVEL 2:As shown in the figure below, ∆ABC is isosceles with the length of AB equal to the length of AC. The measure of ∠A is 40° and points B, C, and D are collinear. What is the measure of ∠ACD ?
Image:
Capture.JPG (image/JPG)
Respuesta
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70°
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80°
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110°
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140°
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160°
Pregunta 21
Respuesta
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5
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3√5
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3+√5
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3√3
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3√6
Pregunta 22
Pregunta
LEVEL 1: In the figure below, line m is parallel to line n, and line t is a transversal crossing both m and n. Which of the following lists has 3 angles that are all equal in measure?
Image:
para.JPG (image/JPG)
Respuesta
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∠a, ∠b, ∠d
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∠a, ∠c, ∠d
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∠a, ∠c, ∠e
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∠b, ∠c, ∠d
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∠b, ∠c, ∠e
Pregunta 23
Pregunta
LEVEL 3: Find the distance between these parallel lines. \[y=2x+7\] \[y=2x-3\]
Respuesta
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5√3 units
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5√2 units
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3√5 units
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2√5 units
Pregunta 24
Pregunta
LEVEL 1: Determine whether PQ and UV are parallel, perpendicular, and neither. *Find the slope and compare* ... P(0,3), Q(2,4), U(2,1), V(8,4)
Respuesta
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parallel
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perpendicular
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neither
Pregunta 25
Pregunta
LEVEL 1: Graph the line that satisfies the given condition: Slope = 2 and passes through (-1,3)
Respuesta
-
Image:123.JPG (image/JPG)
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Image:line.JPG (image/JPG)
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Image:line2.JPG (image/JPG)
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Image:line3.JPG (image/JPG)
Pregunta 26
Pregunta
LEVEL 2: What are the 4th and 5th steps in this proof? Given: HI ≅ TU, IJ ≅ UV .... Proove: HJ ≅ TV
Image:
segment.JPG (image/JPG)
Respuesta
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4.) = ST + LN = LN + NR (Segment Addition), 5.) = ST + LN [-LN] = LN [-LN] + NR (Subtraction)
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4.) = ST + TU = LN + NR (Segment Addition), 5.) = ST = LN (Substitution)
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4.) = ST + TU = LN + NR (Substitution), 5.) = ST + LN = LN + NR (Substitution)
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4.) = ST + TU = LN + NR (Substitution), 5.) ST + TU = SU, LN + NR = LR (Segment Addition)
Pregunta 27
Pregunta
LEVEL 3: Sara places a ladder on level ground against a vertical wall. When the base of the ladder is 20 feet from the wall, the ladder reaches a height of 15 feet along the wall. Sara then moves the base 7 feet closer to the wall. To the nearest foot, how high up the wall does the ladder reach now. (*HINT:* It would be best to draw a picture of this problem.)
Respuesta
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19 feet
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21 feet
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22 feet
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24 feet
Pregunta 28
Pregunta
LEVEL 2: Given: ΔABC ≅ ΔDBC ; 2m∠CBD = m∠ABD ... Which best describes Δ ABD?
Image:
tria.JPG (image/JPG)
Respuesta
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Isosceles
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Right
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Scalene
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Equilateral
Pregunta 29
Pregunta
LEVEL 1: Find the percision for this measurement ... 60.3 km
Respuesta
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60.8 km - 59.8 km
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60.25 km - 60.35 km
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60.4 km - 60.5 km
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61.3 km - 59.3 km
Pregunta 30
Pregunta
LEVEL 1: Find the percision for this measurement ... 76 ft
Respuesta
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75.5 ft - 75.6 ft
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75.5 ft - 76.5 ft
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75 ft - 77 ft
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75.95 ft - 76.05 ft
Pregunta 31
Pregunta
LEVEL 1: If Johnny plots 275 points on a grid, how many lines can he make out of these points?
Respuesta
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137 lines
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274 lines
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138 lines
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550 lines
Pregunta 32
Pregunta
LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _________ are always __________.
Respuesta
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Congruent Angles
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Supplementary Angles
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Complementary Angles
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Vertical Angles
Pregunta 33
Pregunta
LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _________ are always __________.
Respuesta
-
Congruent Angles
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Supplementary Angles
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Complementary Angles
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Vertical Angles
Pregunta 34
Pregunta
LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _________ are always __________.
Respuesta
-
Congruent Angles
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Supplementary Angles
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Complementary Angles
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Vertical Angles
Pregunta 35
Pregunta
LEVEL 1: Find the missing endpoint if R is the midpoint of QS ... \[R(2,0) ; S(5,2)\]
Respuesta
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Q = (1,3.5)
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Q = (3.5,1)
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Q = (3,2)
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Q = (2,3)
Pregunta 36
Pregunta
LEVEL 1: Find the missing endpoint if R is the midpoint of QS ... \[R(2,0) ; S(5,2)\]
Respuesta
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Q = (1,3.5)
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Q = (3.5,1)
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Q = (3,2)
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Q = (2,3)
Pregunta 37
Pregunta
LEVEL 1: Find the midpoint ... \[J(4,6) ; L(10,2)\]
Respuesta
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K = (7,4)
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K = (4,7)
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K = (5,6)
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K = (6,5)
Pregunta 38
Pregunta
LEVEL 2: Find the measure of each side of ΔABC with vertices \[A(1,5), B(6,1), and C(2,-6)\] Classify the triangle by it's sides.
Respuesta
-
Isosceles
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Equilateral
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Scalene
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Acute
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