Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x\leq - 2$ For the number - line: Draw a number - line. Mark a closed circle at - 2 (because the inequality is $\leq$, so - 2 is included in the solution set…
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question solve the inequality and graph the solution on the line provid…
<, $x < 8$ On the number - line, draw an open circle at 8 and shade the line to the left of 8.
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solve the inequality and graph the solution on the line provided. 9 + 4…
Inequality Notation: $x\geq7$ For the number - line: Plot a closed circle at 7 (because the inequality is $\geq$) and draw an arrow to the right.
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solve the inequality and graph the solution on the line provided. -5x -…
Inequality Notation: $x\geq - 7$ Number Line: Plot a closed - circle at - 7 (because the inequality is $\geq$) and draw a line to the right of - 7.
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mixed review 1. a square with an area of 1 square meter is decomposed i…
a. $\frac{1}{3}$ square meters b. 27 ### 2.
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9. if qs bisects ∠pqt, m∠sqt=(8x - 25)°, m∠pqt=(10x + 34)°, and m∠sqr =…
$x = 14$ $m\angle PQS=87^{\circ}$ $m\angle PQT=174^{\circ}$ $m\angle TQR=35^{\circ}$
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7. if m∠lmp is 13 degrees more than m∠nmp and m∠nml = 137°. find each m…
$m\angle LMP = 75^{\circ}$ $m\angle NMP=62^{\circ}$
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1. if $lm = 22$ and $mn = 15$, find $ln$. 2. if $ln = 54$ and $lm = 31$…
1. $LN = 37$ 2. $MN = 23$ 4. $EF = 58$ 6. $x = 7$
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solve the inequality and graph the solution on the line provided. 3x + …
Inequality Notation: $x\leq - 1$ Number - Line: On the number line, draw a closed circle at - 1 (because the inequality is $\leq$) and shade the line to the left of - 1.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x\leq - 4$ Number Line: Mark a closed - circle at - 4 (because the inequality is $\leq$) and draw an arrow to the left towards negative infinity.
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solve the inequality and graph the solution on the line provided. -11 +…
Inequality Notation: $x\geq3$ On the number - line, you would place a closed circle at 3 (because the inequality is $\geq$) and shade to the right of 3.
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solve the inequality and graph the solution on the line provided. 3 + 8…
> $x>7$ On the number - line, there would be an open circle at 7 and an arrow pointing to the right.
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perpendicular parking spaces require turning at a ______ - degree angle…
90
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many drivers dread the ____________ parking maneuver. regular parallel …
# Breve explicación: El estacionamiento paralelo es conocido por ser más difícil para muchos conductores debido a la precisión requerida para ajustarse al espacio disponible a lo …
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select the correct answer from each drop - down menu. the area of a squ…
1. For the first blank: $\sqrt{125}\approx11.18$ inches. 2. For the second blank: Let the side - length of the original square be $s = \sqrt{125}$ inches. The new side - length is…
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without using a calculator, evaluate or simplify the expression. csc⁻¹(…
A. $\csc^{-1}(1)=\frac{\pi}{2}$
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without using a calculator, evaluate, if possible, the following expres…
A. $\frac{2\pi}{3}$
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what is the image point of (-6,5) after a translation right 2 units and…
$(-4,1)$
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find the distance between the points (1, 0) and (-10, -1). write your a…
$\sqrt{122}$ units
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $- 2$. (Note: Since this is a text - based response, the drawing part of "Draw a line representing the 'rise' and a line representing the 'run'" cannot be…
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what is the volume of a rectangular prism with a height of 2 ft. and a …
L = (unknown) ft. W = (unknown) ft. H = 2 ft. Volume = 12 cubic feet
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find the distance between the points (9, -6) and (-2, -4). write your a…
$5\sqrt{5}$ units
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card set a: task cards a rectangular aquarium will hold 24 cubic feet o…
$L = 4$ ft, $W = 2$ ft, $H = 3$ ft, Volume = 24 cubic feet 2.
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find the distance between the points (7, -3) and (0, 2). write your ans…
$\sqrt{74}$ units
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find the distance between the points (1, 4) and (4, 0). write your answ…
5
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use the pythagorean theorem to find the length of the unknown side of a…
$48$
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find the distance between the points (10, 10) and (2, 4). write your an…
10
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the mid - point m of cd has coordinates (-35.5, 0). point d has coordin…
$(2,63)$
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statement a: area of a rectangle with measured length = 2.536 m and wid…
Statement A is less than Statement B.
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w has a mid - point at m(12.5, - 19). point w is at (69, 57). find the …
$(-44,-95)$
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the mid - point m of bc has coordinates (-46.5, -18). point b has coord…
$(0,-94)$
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select the correct answer from each drop - down menu. the slope of the …
The slope of the line in the graph is 3. The y - intercept is - 3. The equation of the line is $y = 3x-3$.
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vw has a midpoint at m(-13, -8). point v is at (-16, 2). find the coord…
$W=(-10,-18)$
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a puzzle piece in the shape of a triangle has perimeter 21 centimeters.…
3
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the midpoint m of vw has coordinates (11, 13). point w has coordinates …
$(17,13)$
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use the pythagorean theorem to find the length of the unknown side of a…
$\sqrt{74}$
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use the pythagorean theorem to find the length of the unknown side of a…
$\sqrt{74}$
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example 1 find each measure. assume that the figures are not drawn to s…
11. 1.1 cm 12. 5.3 in 13. 1.5 in 14. 2.1 mm 15. 16.8 cm 16. 8.8 mm
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time capsule graduating classes have buried time capsules on the campus…
7. $d_{AB}=2\sqrt{37}\approx 12.1655$ 8. $d_{AC}=\sqrt{106}\approx 10.2956$ 9. $d_{BC}=\sqrt{58}\approx 7.6158$ 10. Closest: B and C; Farthest: A and B
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solve the inequality and graph the solution on the line provided. -82 +…
Inequality Notation: $x < 7$ To graph on the number - line: Draw an open circle at 7 (since the inequality is strict, $x$ cannot equal 7) and shade the line to the left of 7.
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woman was introduced on 9 march 1959, by mattel. inc., a southern calif…
3.1.1: 65 years 3.1.2: 30.48 cm 3.2.1: 3 3.2.2: 19458 $cm^{2}$
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use the number line to find each measure. 5. xy 6. wz
5. \(8\) 6. \(9\)
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use the figure to the right. determine whether each statement is true o…
6. False 7. True 8. True 9. True 10. True 11. False 12. True 13. True 14. False (Intersect at line \(\overrightarrow{DH}\)) 15. False (Unclear "J" as plane)
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write the set {x | x < - 3} using interval notation, then graph the set…
Interval notation: \((-\infty,-3)\) Graph: Option B (an open - circle at \(-3\) and an arrow pointing to the left)
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directions: find the coordinates of the midpoint of the segment given i…
7. $(-3.5,8)$ 8. $(0,-6)$ 9. $(-3,-0.5)$
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directions: find the coordinates of the midpoint of the line - segment …
$(2,2)$
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a person 5 - ft tall casts a shadow 12 - ft long. at the same time, a n…
$10.8$
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31. modeling with mathematics you have to walk from room 103 to room 11…
a. 64 ft b. 0.24 min c. Obstacles, slower walking, stops.
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thematical literacy p2 grade 12 pre - preparatory 3.2.3 estimate the to…
If we assume \(l = 5m\), \(w = 4m\) and \(h = 3m\), the total surface area of the four walls (excluding the roof) is \(54m^{2}\) ### 3.2.4
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a person 5 - ft tall casts a shadow 12 - ft long. at the same time, a n…
$10.8$
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use the figure to the right. determine whether each statement is true o…
6. False, Points E, J, D are collinear. 7. False, Points F, B, D are collinear. 8. True 9. True 10. True 11. True 12. False, Plane ABC intersects plane AIJ in AC. 13. True 14. Tru…
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use the figure to the right. determine whether each statement is true o…
6. False. Points E, J, H not collinear. 7. False. Points F, D not collinear. 8. True. 9. True. 10. True. 11. True. 12. True. 13. True. 14. True. 15. True.
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read the given sat questions. match each question with the correct sect…
1. Critical Reading 2. Mathematics 3. Writing
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a rectangle has a width of 43 centimeters and a perimeter of 200 centim…
57
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(a) find the distance between p and q. (b) find the coordinates of the …
The distance between $P$ and $Q$ is $4\sqrt{10}$. The midpoint of the segment joining $P$ and $Q$ is $(-2,4)$.
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if (kl = 3x), (lm=x + 5), and (km = 9), what is (lm)? simplify your ans…
6
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(a) find the distance between p and q. (b) find the coordinates of the …
The distance between $P$ and $Q$ is $4\sqrt{10}$. The midpoint of the segment joining $P$ and $Q$ is $(-2,4)$.
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question 20 (5 points) listen how many triangles are there that satisfy…
1
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if de = 6, ef = 2x, and df = 3x, what is ef? simplify your answer and w…
$12$
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find the values of the six trigonometric functions of an angle in stand…
\(\sin\alpha=\frac{84}{85},\cos\alpha=\frac{13}{85},\tan\alpha=\frac{84}{13},\csc\alpha=\frac{85}{84},\sec\alpha=\frac{85}{13},\cot\alpha=\frac{13}{84}\) (corresponding to the thi…
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if rs = 2x, st = x + 6, and rt = 9, what is rs? simplify your answer an…
2
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question 16 (5 points) listen write 62° 21 47 as a decimal to the neare…
$62.363^{\circ}$
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use the unit circle to find the value of cot (-270°). cot (-270°)=1 cot…
$\cot(-270^{\circ}) = 0$
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(x - 3)^2+(y - 4)^2 = 4 which of the following is a graph of the given …
A.
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question 13 (5 points) determine whether △abc should be solved by using…
Law of Sines; $B\approx42.7^{\circ}$, $C\approx102.3^{\circ}$, $c\approx18.7$
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a circle in the xy - plane has a center at $\\left(\\frac{5}{8},-\\frac…
D. $(x - \frac{5}{8})^2+(y+\frac{6}{5})^2=\frac{49}{400}$
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if jk = 8, kl = 3x, and jl = 5x, what is jl? simplify your answer and w…
20
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(x + 55)^2+(y - 11.5)^2 = 121 a circle in the xy - plane has the equati…
22
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(x - 17)^2+(y - 19)^2 = 49 a circle in the xy - plane has the equation …
7
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if r = 24.9 and s = 18.9, find s. round to the nearest tenth s = 37.2° …
\(S = 37.2^{\circ}\)
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if ef = 6x, fg = 8, and eg = 10x, what is ef? simplify your answer and …
12
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which of the following degree measures is equal to 4π radians? (the num…
C. 720°
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unit circle trigonometry: foundations which of the following radian mea…
B. 6π radians
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which change occurred during the renaissance? ○ islamic mathematicians …
Scholars revived an interest in classical ideas.
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if ef = 13 and fg = 11, what is eg? write your answer as a decimal or i…
24
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find one positive and one negative angle coterminal with an angle of $\…
For the first question: $\frac{7\pi}{6},-\frac{11\pi}{6}$ For the second question: $2$
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if $x^{circ}$ is equal to $6pi$ radians, what is the value of $x$? (the…
$1080$
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which of the following radian measures is equal to 180°? (the number of…
D. $\pi$ radians
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for a circle of radius 3 feet, find the arc length s subtended by a cen…
First question: $s=\frac{7}{20}\pi$ feet Second question: $21^{\circ}$
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15. a(-2,4), b(-4,1), c(-1,1) 180 degrees counterclockwise a ( , ) b ( …
A' (2, -4) B' (4, -1) C' (1, -1)
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the circle has center o, and the measure of angle poq is 60°. the lengt…
B. $\frac{1}{6}$
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find the area of a sector with a central angle of 170° and a radius of …
$428.7$ $mm^{2}$
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the circle has center o, and the central angle of the shaded sector mea…
A. $\frac{5}{8}$
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complete the sentence. the intersection of a regular pentagon and a reg…
two points
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complete the sentence. a circle and a line can intersect in _. a line a…
a point
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complete the sentence. a square and a triangle can intersect in _______…
A. a point
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the circle has center (o), and the measure of angle (aoc) is (120^{circ…
$\frac{1}{3}$
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the circle has center o, and the central angle of the shaded sector mea…
There is no correct option among A. $\frac{1}{12}$, B. $\frac{1}{10}$, C. $\frac{1}{8}$, D. $1$. The correct answer should be $\frac{1}{6}$.
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21. the formula to find the area a of a rectangle is a = lw, where l is…
26 in²
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v = \\frac{4}{3}\\pi r^{3} the formula gives the volume v of a sphere w…
D. $\frac{32}{3}\pi$
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graph the figure with the given vertices. then graph the image of the f…
A'. (0, - 1) B'. (2, - 4) C'. (5, - 3)
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in the right triangle shown, the length of $overline{ac}=4$ and the len…
A. 5
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the figure shows a line intersecting two parallel lines. what is the va…
$116$
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v = \\frac{1}{3}\\pi r^{2}h the formula gives the volume v of a right c…
A. $96\pi$
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graph the figure with the given vertices. then graph the image of the f…
A'(0,0) B'(2,-4) C'(5,-3)
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triangle abc is shown. what is tan(∠abc)? choose 1 answer: a $\frac{5}{…
A. $\frac{5}{4}$
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a line segment has the endpoints u(4, 11) and v(9, 16). find the coordi…
$(6.5,13.5)$
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hector is building a metal sculpture in the shape of an equilateral tri…
The inequality that describes the problem is $x\leq9$. The perimeter of the triangular sculpture can be at most 9 feet. So the blank should be filled with 9.
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find the distance between the points (-5, -4) and (-1, 5). write your a…
$\sqrt{97}$
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q(15, 4) and r(8, 10) are the endpoints of a line segment. what is the …
$(11.5,7)$