几何
三角形、圆、解析几何与证明题。
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given: ∠a = 6x + 2 <b = 4x - 2 and ∠a and ∠b are complementary find: th…
For the first pair of angles: \(\angle A = 56^{\circ}\), \(\angle B=34^{\circ}\) For the second pair of angles: \(\angle A = 44^{\circ}\), \(\angle B=44^{\circ}\) For the third pa…
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a 12 foot ladder that is leaning against a house and makes a 75.5° angl…
\(\sin75.5=\frac{y}{12}\) (the fourth option)
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determine whether the statement is true or false based on the diagram a…
8. B. False 9. B. False
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which equation would be used to solve for x? (see yellow hint below.) t…
\(\cos18=\frac{29}{x}\) (the third option)
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which angle number represents an angle adjacent to ∠mrj?
\(\angle3\)
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in triangle abc, the measure of angle a is x°, the measure of angle b i…
A. \(x = 70\)
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solve for x. round your answer to the nearest tenth. x = m (see yellow …
\(21.4\)
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question the diameter of a circle is 4 m. find its area to the nearest …
\(12.6\)
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22. how are the two angles related? a. adjacent b. complementary c. sup…
C. supplementary
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27. using the statement: \the grapes are purple\, write the negation of…
A. The grapes are not purple ### 28
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30. which statements (if any) are true about the diagram? select all th…
C. \(\angle PQT\) is a straight angle ### Question 31
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32. which of the combinations of sides and angles is sufficient to prov…
B. Two corresponding angles and the non - included side, C. Two corresponding sides and the included angle, D. Two corresponding angles and the included side ### Question 33 First…
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34. which congruence rule can be used to show that the two triangles ar…
B. SAS ### Question 35
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score: 0/3 penalty: 0.25 off question watch video the radius of a circl…
\(79\) square inches.
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4. you get this: fill in this: factored form of the equation standard f…
- Standard form: \(10y^{2}+20y + 9x-80 = 0\) - Factored form: \(x=\frac{-10(y - 2)(y + 4)}{9}\)
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26. if ∠goh = 24° and ∠foh = 50°, what is the measure of ∠fog? a. 31 b.…
D. 26
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given: a||b and <6 = 37° find: all remaining angles (4 pts). (provide a…
\(\angle 1 = 37^{\circ}\), \(\angle 2 = 143^{\circ}\), \(\angle 3 = 37^{\circ}\), \(\angle 4 = 143^{\circ}\), \(\angle 5 = 143^{\circ}\), \(\angle 7 = 37^{\circ}\), \(\angle 8 = 1…
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26. if \\( \\angle goh = 24 ^ { \\circ } \\) and \\( \\angle foh = 50 ^…
D. 26
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25. which best describes the relationship between line 1 and line 2? li…
B. parallel
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23. if ( ab = 14 ) and ( ac = 27 ), find the length of ( bc ). 24. if (…
23. C. 13 24. A. 16
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question find ( m angle v x w ). score 12/15 penalty none no additional…
\(m\angle VXW = 67.5^{\circ}\)
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if ( mangle chf = 103^{circ}), then what is ( mangle fhd)?
\(77\)
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22. given lines l and m are parallel, match the angle pair to the corre…
1. b. alternate interior angles 2. d. linear pair 3. a. alternate exterior angles 4. f. consecutive interior angles 5. c. vertical angles 6. e. corresponding angles
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21. given the isosceles triangle, what is the measure of one base angle…
A. 68
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20. given the isosceles triangle, find the value of y. a. 16 b. 82 c. 9…
B. 82
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19. given the isosceles triangle, find the value of x. a. 16 b. 82 c. 9…
A. 16
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18. in the diagram below, ( kf ) is the perpendicular bisector of ( gh …
C. \(\angle KHF\)
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17. find the value of y if cd is parallel to ef and the measure of ∠1 =…
D. 36
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question the radius of a circle is 6 cm. find its area in terms of $\\p…
\(36\pi\)
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16. name the congruence postulate that proves the triangles are congrue…
D. AAS
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15. name the congruence postulate that proves the triangles are congrue…
D. AAS
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14. if \\( \\angle a o c = 48 ^ { \\circ } \\) and \\( \\angle b o c = …
C. \(27^{\circ}\)
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question the diameter of a circle is 6 ft. find its area in terms of \\…
\(9\pi\)
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13. find the value of x: a. 88 b. 145 c. 35 d. 127
B. 145
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in the figure below, ( l parallel m ). find ( x ).
\(x = 135\)
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13. find the value of $x$:
# Explanation: ## Step1: Use the exterior - angle property of a triangle The exterior - angle property of a triangle states that an exterior angle of a triangle is equal to the su…
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12. find the measure of ∠1 if lines pq and rs are parallel: a. 121 b. 3…
C. 59
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11. find the value of x: a. 24 b. 30 c. 6 d. 3
A. 24
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a right triangle has the dimensions shown, in centimeters (cm). what is…
\(24\)
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(provide all theorems / reasoning and show all work**) given: ( aparall…
\(\angle A = 27^{\circ}\) \(\angle B = 66^{\circ}\) \(\angle C = 87^{\circ}\) \(\angle D = 87^{\circ}\) \(\angle E = 66^{\circ}\) \(\angle F = 27^{\circ}\)
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10 find the values of $x$, $y$, and $z$: 1. $y$ 2. $z$ 3. $x$ a. 70 b. …
1. \(y = 80\) (d) 2. \(z = 35\) (b) 3. \(x = 45\) (c)
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in the figure below, ( l parallel m ). find ( x ).
\(x = 65\)
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9 given that lines a, b, and c are parallel lines, find the value of x,…
1. \(x = 96\) (Option b) 2. \(x + y=180\) (Option c) 3. \(y = 84\) (Option a)
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8. find the value of x: (3x + 42)° (4x + 45)° a. 3 b. -3 c. 3/7 d. 1
B. \(-3\)
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6. which transformations preserve congruence and side lengths? a. trans…
- **For the first question**: D. Rotations, Translations, Reflections - **For the second question**: A. \(ZB\cong XA\); C. \(BW\cong AY\)
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the figures shown are a reflection. find the value of x
\(x = 41\)
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3. the two figure are similar. find the value of x. a. 36 b. 8 c. 15 d.…
A. 36
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3. the figures shown are a reflection. find the value of y. a. 6 b. 41 …
\(y = 6\), so the answer is A. 6
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2. the figures shown are a reflection. find the value of x. a. 6 b. 41 …
B. \(41\)
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1. what is the reflection image of point v over line b? a. x b. y c. w …
A. \(X\)
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use the proof information and image below to match each statement to th…
C. supplementary
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3. the two figure are similar. find the value of x. 15 12 5 x a. 36 b. …
C. \(135^{\circ}\)
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use the proof information and image below to match each statement to th…
C. linear
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use the proof information and image below to match each statement to th…
A. linear
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using trig functions and the given triangle, find the value of x and y …
\(x = 8.0\) m, \(y = 6.9\) m
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use the proof information and image below to match each statement to th…
B. \(\angle5\) and \(\angle7\)
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2. a garden is surrounded by a paved border of uniform width (see the d…
The area of the border is \(4x^{2}+48x\) \(m^{2}\)
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use the information shown here to complete the proof. given each statem…
A. Substitution Property of Equality
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use the information shown here to complete the proof. given each statem…
D. Angle Addition Postulate
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25 the coordinates of point b are (3,4). determine the coordinates of b…
\((-3,4)\) (the fourth option)
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use the information shown here to complete the proof. given each statem…
D. Angle Addition Postulate
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20. consider the given right triangle. find the missing side lengths. x…
\(x = 6\sqrt{3}\), \(y = 6\)
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use the information shown here to complete the proof. given each statem…
D. Angle Addition Postulate
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the coordinates of point c are (4, 2). suppose a second translation is …
\(\langle - 3,-5 angle\) (corresponds to the option \(\langle - 3,-5 angle\))
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iven each statement, 2. statement 1. $mangle 1=mangle 3$ a. substitutio…
B. Given
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the coordinates of point c are (4, 2). determine the coordinates of c a…
\((2,5)\)
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7. what is the value of c?
\(35.7\)
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the coordinates of point b are (3, 4). determine the coordinates of b a…
\((3,-2)\) (the second option)
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bugs bunny was 33 meters below ground, digging his way toward pismo bea…
$24.4$
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25 the coordinates of point b are (3, 4). determine the coordinates of …
\((-3,4)\) (the fourth option)
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24 the coordinates of point b are (3, 4). determine the coordinates of …
B. \((4,3)\)
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2. are the two figures similar? if not, why not? a. yes, similar. b. no…
2. B. No, corresponding angles are not congruent. 4. D. side = 10 6. B. Corresponding side lengths are proportional; C. Corresponding angles are congruent.
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23 triangle abc has vertices a (1, -3), b (3, -2) and c (0, -1). rotate…
A" \((3,-1)\), B" \((2,-3)\), C" \((1,0)\) (First option)
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6.) triangle abc is dilated to get triangle abc a.) which of these scal…
A. \(\frac{3}{5}\), B. \(\frac{13}{17}\)
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in the figure below, ( lr^{leftrightarrow} ), ( ms^{leftrightarrow} ), …
a. \(68^{\circ}\) b. \(70^{\circ}\) c. \(110^{\circ}\) d. \(70^{\circ}\) e. \(138^{\circ}\)
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5.) a polygon has a perimeter of 18 units. it is dilated with a scale f…
C. 27 units
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18. from the top of a cliff at the edge of a lake, the angle of depress…
\(51.95\) m
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answers to the nearest tenth if necessary. 6) 15.8 yd 6.9 yd x 73 made …
\(x\approx14.2\) yd
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7. what is the relationship between < 4 and < 8? a. corresponding b. co…
7. A. corresponding 8. D. Alternate exterior 9. C. alternate interior 10. D. Alternate exterior 11. B. consecutive interior 12. D. Alternate exterior 13. C. alternate interior 14.…
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which best describes the dimensions of a plane? a plane has zero dimens…
C. A plane has two dimensions because it is a flat surface that has length and width but no depth
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angles 1 and 2 are complementary and congruent what is the measure of a…
B. \(45^{\circ}\)
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19 quadrilateral abcd has coordinates a (6, -6), b (3, -8), c (2, -6) a…
A \((3,7)\), B \((5,4)\), C \((3,3)\) and D \((1,4)\)
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angle mon is a straight angle and op bisects ∠moq. what is the measure …
61°
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18 quadrilateral abcd has coordinates a (0, 2), b (3, 4), c (4, 2) and …
C. \(A(6, - 6),B(3, - 8),C(2, - 6)\) and \(D(3, - 4)\)
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the angle of depression from a bird sitting on top of a telephone pole …
\(9.2\) ft
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use the figure to the right to answer questions #1 - 6 1. what is the r…
1. d. No Relationship 2. c. \(5 = 8\) 3. b. \(3+5 = 180\) 4. c. \(3 = 6\) 5. c. \(6 = 8\) 6. c. \(1 = 5\)
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angle rsu is complementary to angle ust angle qsr is congruent to angle…
They are complementary
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9. draw a counterexample that proves the following statement wrong. \if…
Draw two parallel lines \(l_1\) and \(l_2\) and a transversal \(t\). Make the angle between the transversal and one of the parallel lines greater than \(90^{\circ}\). The correspo…
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hallar la distancia entre los siguientes puntos a y b. (es decir, halla…
\( 5.83 \)
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find the missing side of each triangle. ro 5) 6.7 km 9 km x © 2024 kuta…
\(x\approx11.2\) km
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15. find the value of the trigonometry ratio below. give the answer in …
Fraction form: $\frac{3}{4}$; Decimal form: $0.75$
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what is the format of this proof? given: \\( \\angle abc \\) is a right…
Two - column proof
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14 which set of points represents the image of \\( \\triangle qrs \\) a…
\(Q'(13,6),R'(10,1),S'(7,5)\) (the fourth option)
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in the diagram, \\( \\angle trv \\cong \\angle vrw \\) what is the meas…
\(60\)
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13 a triangle has vertices ( a(-1,2) ), ( b(2,5) ), and ( c(3,-4) ). if…
\((x, y)\to(y, -x)\)
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4. which equation would be used to solve for x? (see yellow hint below.…
\(\sin^{-1}x=\frac{13}{25}\) (the first option)
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triangle xyz with vertices x(0,0), y(0,-2), and z(-2,-2) is rotated to …
C. \(R_{0,270^{\circ}}\), D. \((x,y)\to(-y,x)\)
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7. calculate the distance between points d and f if d (-4, 9) and f (5,…
\(\sqrt{106}\)
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what is the location of the image of p(-4, 3) after a counterclockwise …
\((-3, - 4)\)
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which line segment is drawn in the figure?
WZ