Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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the diagram shows a regular polygon. what is the value of x? write your…
\( 67.5 \)
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the diagram shows a convex polygon. what is the value of x? x = \\squar…
$31$
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what is the sum of the exterior angle measures, one at each vertex, of …
$360$
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: (3, 7) Point in final figure: (3, 2)
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find the cosine of $\\angle c$. write your answer in simplified, ration…
$\frac{\sqrt{205}}{41}$
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use a trigonometric ratio to solve for a. round to two decimal places i…
$101.01$
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write the equation of the line in fully simplified slope - intercept fo…
$y = -2x - 6$
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find the tangent of $\\angle b$. simplify your answer and write it as a…
$\frac{15}{8}$
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in the diagram below, \\(\\overline{de} \\cong \\overline{ae}\\), \\(\\…
$121.5^\circ$
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type the correct answer in the box. use numbers instead of words. the r…
72
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find the distance between the two points in simplest radical form. (-8,…
The distance between the two points is \(\boxed{10}\).
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many hindu gods are mentioned in scriptures, or religious texts, called…
Describe beliefs (select the circle under "Describe beliefs" for this description) ### For "passages that people regularly chant, or read out loud":
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find the distance between the points a and b given below. (that is, fin…
5.83
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solve this system of equations by graphing. first graph the equations, …
The solution to the system is $(-1, -4)$ (Graph points: For $y=3x-1$, plot $(\frac{1}{3}, 0)$ and $(0, -1)$ and draw the line; for $y=-3x-7$, plot $(-\frac{7}{3}, 0)$ and $(0, -7)…
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is the following statement true or false? the intersection of a plane a…
true
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find the area of rectangle ijkl. round your answer to the nearest tenth…
The area of rectangle \( IJKL \) is \( 115.2 \) square inches.
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find the sine of $\\angle t$. simplify your answer and write it as a pr…
$\frac{77}{85}$
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find the sine, cosine, and tangent of $\\angle t$. simplify your answer…
$\sin(T) = \frac{45}{53}$ $\cos(T) = \frac{28}{53}$ $\tan(T) = \frac{45}{28}$
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the diagram shows a triangle. what is the value of c? c = \\(\\square\\…
\(10\)
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solve the following system of inequalities graphically on the set of ax…
A point in the solution set is \((0,0)\) (other valid points like \((-3,0)\), \((3,5)\) etc. also work. The intersection point of the two lines is \((-6,6)\), but since the second…
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what is the length of the hypotenuse? if necessary, round to the neares…
60 meters
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what is the length of the hypotenuse? if necessary, round to the neares…
39 millimeters
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what value is the arrow pointing to? enter your answer as a reduced one…
5/8
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find the sine of $\\angle v$. write your answer in simplified, rational…
$\frac{\sqrt{15}}{5}$
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reflect the figure over the line $y = -1$. plot all of the points of th…
The reflected points are \((1, -5)\), \((7, -9)\), and \((8, -2)\). You can plot these points on the graph.
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find ( mangle f ). write your answer as an integer or as a decimal roun…
$44.4$
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given ( m parallel n ), find the value of ( x ).
$94$
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solve for ( x ). round to the nearest tenth, if necessary.
\( 171.1 \)
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this image has rotational symmetry. what is the smallest number of degr…
\(45\)
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charlie is filling up a tank with water for some fish in a pet shop. he…
(a) $2 < x < 5$ (b) On the number line: Draw an open circle at 2, an open circle at 5, and shade the segment connecting these two points.
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bd bisects ∠abc reason: given ∠abd ≅ ∠cbd reason: an angle bisector div…
The reason for \( \triangle ABD \cong \triangle CBD \) is ASA (Angle - Side - Angle) congruence criterion, as we have two pairs of congruent angles (\( \angle ABD \cong \angle CBD…
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use tools jeeran is making a rectangular banner for school. the dimensi…
The area of the banner is $2\frac{5}{8}$ square yards. The equation modeling the problem is $1\frac{1}{2} \times 1\frac{3}{4} = 2\frac{5}{8}$. For the visual model (the given rect…
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find the slope of the line in the graph below and enter in the blue box.
\(\frac{1}{2}\)
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2. a parallelogram has one angle that measures 175°. what are the measu…
The other angles measure $5^\circ$, $175^\circ$, and $5^\circ$.
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math 10 unit 4 applications of expanding and simplifying polynomials gi…
To find the area of the shaded region in such problems, we typically use the **subtraction method**: find the area of the larger shape and subtract the area of the unshaded (inner…
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proving congruence (triangle congruence: sss and sas) homework for exer…
37. $\boldsymbol{\angle P}$ 38. $\boldsymbol{\overline{PF}}$ and $\boldsymbol{\overline{FK}}$ 39. $\boldsymbol{\angle K}$ 40. $\boldsymbol{\overline{XY} \cong \overline{RS}}$ 41. …
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an ellipse has the equation \\(\frac{(x - 3)^2}{3^2} + \frac{(y + 5)^2}…
$\boldsymbol{\frac{x^2}{3^2} + \frac{y^2}{5^2} = 1}$ (Option 1)
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question show examples given (overline{bd}) bisects (angle abc), comple…
- \( \angle ABD \cong \angle CBD \): Definition of Angle Bisector - \( \angle ADB \cong \angle CDB \): All Right Angles are Congruent (or Definition of Perpendicular Lines) - \( \…
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4. find the circumference. 20.5 ft
64.37 feet
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answer the questions below. (a) the perimeter of a rectangular field is…
Width of the field: 81 m Length of the painting: 64 cm
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(a) the area of a rectangular parking lot is 4628 m². if the width of t…
Length of the parking lot: $89$ m Width of the pool: $59$ m
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the area of the largest square in the figure is ((g + h)^2). use this f…
$g^2 + 2gh + h^2$
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figure stuv is the result of a transformation on figure opqr. which tra…
A. translation 4 units left and 1 unit down
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do you understand? 1. does it take more inches or feet to equal a given…
It takes more inches. Because 1 foot equals 12 inches, so a smaller unit (inch) will be needed in greater quantity to equal the same length as a larger unit (foot). ### Question 2:
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the arrowhead choir is practicing for a show. to feel prepared, they wi…
(a) $\boldsymbol{4 < x < 6}$ (b) On the number line: - Draw an open circle at 4 and an open circle at 6. - Shade the segment of the number line that lies between these two open ci…
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a triangle has side lengths of (5m - 2n) centimeters, (7m + 10p) centim…
\(18p + 12m - 11n\) (the first option among the given choices)
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the three vectors shown are dimensionless (their lengths are pure numbe…
$\approx 13.7$
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eric is planning to run a marathon. as part of his training this week, …
(a) $10 < x < 15$ (b) On the number line: draw an open circle at 10, an open circle at 15, and shade the segment between these two points.
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the width of a rectangle measures $(3b + 5)$ centimeters, and its lengt…
\( 22 + 22b \) (corresponding to the option "22 + 22b")
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find the missing angle: find the measure of ∠a: if two angles of one tr…
1. Missing angle: $100^\circ$ 2. Measure of angle 4A: $25^\circ$ 3. Blank: congruent 4. The triangles share a pair of congruent vertical angles at their intersection, and both hav…
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a triangle has side lengths of $(7r - 10)$ centimeters, $(5r + 5)$ cent…
\(3 + s + 12r\) (the first option)
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wednesday in what direction will this arrow point after it is rotated 2…
1. The arrow will point downward (south). 2. (Rotated net: a 5-square net where the top square is now to the left of the first square in the horizontal row, the bottom square is t…
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todor was trying to factor $10x^2 - 5x + 15$. he found that the greates…
$2x^2 - x + 3$
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monday when the point (-3,2) is reflected across the y - axis, what are…
1. $(3,2)$ 2. A (0,4) 3. Reflection and translation 4. $2$
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in the coordinate plane shown, point b was transformed using the coordi…
The completed coordinate plane will have: - Origin (0,0) labeled as P - Point M=(2,0) plotted on the x-axis - Point N=(6,0) plotted on the x-axis - Segment $PB'$ connecting (0,0) …
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4. find the volume v of the set of points (x, y, z) satisfying 2z + 3 ≤…
$\frac{224}{3}\pi$
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sean unfolded his table tent made of three rectangles and 2 equilateral…
B. 115.5 in²
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joel wants to fence off a triangular portion of his yard for his chicke…
7. No, because the side lengths do not satisfy the Pythagorean theorem: $8^2 + 15^2 eq 20^2$. 8. 40 feet 9. 21.5 minutes
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unit: pythagorean theorem homework 3 name date pd applying the pythagor…
1. 28 yards 2. 1260 calories 3. $\approx 282.8$ feet 4. $\approx 15.2$ feet 5. 21 inches 6. 400 units$^2$
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which equation represents the parabola shown on the graph?\\(\\bigcirc\…
\(x^{2}=6y\) (the fourth option: \(x^{2}=6y\))
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a parabola is represented by the equation $x^2 = 4y$. what are the coor…
\((0,1)\) (corresponding to the option: (0,1))
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solve the inequality $n - 2 \\leq -5$. $n \\leq -3$ graph the solution …
To graph \( n \leq -3 \): 1. Locate -3 on the number line. 2. Place a closed dot (filled circle) at -3 (since the inequality includes equality, \( n = -3 \) is a solution). 3. Dra…
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a parabola is represented by the equation ( y^2 = 5x ). which equation …
\( x = -\frac{5}{4} \) (corresponding to the option: \( x = -\frac{5}{4} \))
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a parabola, with its vertex at (0,0), has a focus on the negative part …
A. The directrix will cross through the positive part of the \(y\)-axis. E. The equation of the parabola could be \(x^{2}=-\frac{1}{2}y\).
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a parabola can be represented by the equation $x^{2} = -20y$. what are …
D. \((0, - 5)\) (assuming the options are labeled as A. \((-5,0)\), B. \((5,0)\), C. \((0,5)\), D. \((0,-5)\))
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14) \\(cos c\\) \\(c\\)---30---\\(a\\) \\(c\\)---24---\\(b\\) (right an…
$\frac{4}{5}$
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a parabola, with its vertex at the origin, has a directrix at y = 3. wh…
A. The focus is located at \((0, - 3)\) D. The parabola can be represented by the equation \(x^{2}=-12y\)
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a parabola has a vertex at (0,0). the focus of the parabola is located …
B. the negative part of the x - axis
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a parabola has a vertex at (0,0). the equation for the directrix of the…
C. right
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13) \\(\\tan c\\) \\(\\begin{tikzpicture}scale=0.5 \\coordinate (b) at …
$\frac{4}{3}$
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the focus of a parabola is located at (4,0), and the directrix is locat…
\(y^{2}=16x\) (corresponding to the option: \(y^{2}=16x\))
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a general formula for a parabola is $y^2 = 4px$. what is the value of $…
B. \( P = - 1 \)
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the focus of a parabola is located at (0,−2). the directrix of the para…
\(x^{2}=-8y\) (the option corresponding to \(x^{2}=-8y\))
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12) \\cos a
$\frac{4}{5}$
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a parabola has a vertex at the origin. the equation of the directrix of…
C. \((0,-3)\) (assuming the options are labeled as A: \((0,3)\), B: \((3,0)\), C: \((0,-3)\), D: \((-3,0)\))
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a parabola has a vertex at (0,0). the focus of the parabola is located …
A. \(x = - 4\)
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find the midpoint of points a(3,6) and b(7,-4) graphically. plot the li…
The midpoint of points \( A(3,6) \) and \( B(7,-4) \) is \( (5,1) \).
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a parabola and its focus are shown on the graph. the vertex of the para…
D. \(x = - 3\) (assuming the options are labeled as A. \(y = 3\), B. \(y=-3\), C. \(x = 3\), D. \(x=-3\))
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a parabola with a vertex at (0,0) has a directrix that crosses the nega…
\(\boldsymbol{x^2 = 4y}\) (Option: \(x^2 = 4y\))
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7 multiple answer 1 point which similarity rule, if any, can be used to…
SSS-
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a general formula for a parabola is $x^2 = 4py$. what is the value of $…
A. \(p = 3\)
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multiple choice 1 point the two triangles are similar. write a proporti…
2.042
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a parabola and its directrix are shown on the graph. what are the coord…
\((0,2)\)
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Question was provided via image upload.
To graph the solution set \(x < 4\): - Place an open circle at \(4\) on the number line. - Draw an arrow pointing to the left from the open circle to show all real numbers less th…
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mpm2d0 quadratic graphs name: salma bouaj multiple choice: circle the c…
- For 6a: The relationship is quadratic (because the second differences of the y - values are constant). - For 6b: The relationship is linear (because the first differences of the…
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the points (2, -1) and (r, 9) lie on a line with slope 2. find the miss…
$7$
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the points (-4, r) and (4, -4) lie on a line with slope -1. find the mi…
4
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rectangle wxyz was dilated using the rule $d_{k,p}$. what is $wx$? 14 u…
10 units
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which equation represents the parabola shown on the graph? - $y^2 = -2x…
\(y^{2}=-8x\) (the option is \(y^{2}=-8x\))
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a parabola has a vertex at the origin. the focus of the parabola is loc…
B. \(x = 2\)
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triangle tuv was dilated to create triangle tuv using point a as the ce…
\(\frac{2}{5}\) (corresponding to the option with \(\frac{2}{5}\))
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the area of a triangle can be represented by the expression (14x^{6}+63…
The expression for the height of the triangle is \( 4x^{4}+18 \)
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a parabola can be represented by the equation $x^2 = -20y$. what are th…
D. \((0, - 5)\)
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2. the surface $\ ho = 4\\cos \\phi$ describes a sphere. identify the c…
- Center of the sphere: $(0, 0, 2)$ - Radius of the sphere: $2$ - Cartesian coordinate equation: $x^2 + y^2 + (z - 2)^2 = 4$ - Cylindrical coordinate equation: $r^2 + z^2 = 4z$ (o…
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which equation represents the parabola shown on the graph? \\(\\bigcirc…
\(x^2 = 6y\) (the fourth option: \(x^2 = 6y\))
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a parabola has a vertex at (0,0). the focus of the parabola is located …
B. the negative part of the x - axis
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find the midpoint of points a(-6, 2) and b(2, 5) graphically. you may p…
The midpoint of points \( A(-6, 2) \) and \( B(2, 5) \) is \( (-2, 3.5) \)
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a parabola is represented by the equation $x^2 = 4y$. what are the coor…
(0,1)
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find the area of parallelogram efgh. round your answer to the nearest t…
The area of parallelogram \( EFGH \) is \( 20.7 \) square inches.