Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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is $\\triangle mno$ similar to $\\triangle pqo$?
Yes
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find the cosine of ∠a. simplify your answer and write it as a proper fr…
$\frac{3}{5}$
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find the cosine of $\\angle u$. simplify your answer and write it as a …
$\frac{5}{13}$
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these triangles are similar. solve for x. 14, 21, 64°, 76° (on the firs…
12
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these triangles are similar. solve for x. 84° 8 61° 14 x = ? x 61° 84° 7
$x = 12.25$ or $x = \frac{49}{4}$
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current skill $\\$$ what is the value of x? do not round your answer. w…
$14\sqrt{3}$
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solve and graph the following linear inequalities for the unknown varia…
\( z \leq 32 \) (To graph, draw a number line, place a closed circle at 32, and shade to the left.) ### Part (b)
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combine like terms. write the answer in correct standard form. then lis…
Combined form: \(6xy^4 - 4xy^2 + 2xy\) Degree = \(5\) Classification: \(\boldsymbol{T}\) (circle T) ### Problem 2
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three vertices of a parallelogram are (-10, 2), (-1, 2), and (1, 4). gr…
The fourth vertex of the parallelogram is $(-8, 4)$. When plotted, the parallelogram has vertices at $(-10, 2)$, $(-1, 2)$, $(1, 4)$, and $(-8, 4)$, with opposite sides parallel a…
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incorrect 2 tries left. please try again. pied is building a rabbit pen…
24 feet
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paul is building a rabbit pen. the coordinates of the vertices of the r…
16 ft
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a polygon has vertices r(1,1), s(1,4), and t(5,1). what is the area of …
B) 6 square units
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the coordinates of a, b, and c in the diagram are a(p,4), b(6,1), and c…
C. $p+q=7$
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incorrect 2 tries left. please try again. find the perimeter and the ar…
Perimeter: $20$ units, Area: $18$ square units
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create a license plate that illustrates and describes 10 things about y…
### Sample License Plate Design: **Plate Layout (Text + Visuals):** Top section: `LILA M.` Main plate text (abbreviated facts, paired with visuals): `CAT VET | SUSHI | HikeNJ | BI…
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4 use the drawing tool(s) to form the correct answer on the provided gr…
The line with equation $y=-\frac{2}{3}x-\frac{5}{3}$, passing through $P(8, -7)$ and $(2, -3)$, is the perpendicular line to AB. To complete the task, draw this line on the provid…
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19. in the diagram, \\(\\overline{ab} \\cong \\overline{cd}\\). find th…
22
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drag the tiles to the correct boxes to complete the pairs. determine wh…
- Parallel $ ightarrow$ $y=2x+4$; $2y=4x-7$ - Perpendicular $ ightarrow$ $4y=2x-4$; $y=-2x+9$ - Neither $ ightarrow$ $2y=4x+4$; $y=-2x-2$
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quadrilateral tuvw has vertices at t(3, -5), u(5, 5), v(-5, 7), and w(-…
Yes, all sides are congruent, and $\overline{UV}$ and $\overline{VW}$ are perpendicular.
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manifest destiny primary source analysis directions: 1. circle each kin…
1. Circle the covered wagon, horse-drawn stagecoach, and horses used by settlers. 2. Draw a box around the group of figures with mining tools on the left hillside. 3. Draw an arro…
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6. a-z vocabulary circle the nickel. put a square around the half - dol…
90 ¢ *(Nota: Para cumplir las instrucciones de vocabulario: se debe dibujar un círculo alrededor de la moneda de 5¢ (la tercera de izquierda a derecha) y un cuadrado alrededor de …
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if point e lies between point g and point o and ge = 2x + 3, eo = 3x - …
\( x = 10 \)
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a road crosses over two train tracks, resulting in an intersection simi…
∠1 ### Question 2: Which angle corresponds to ∠8?
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for each pair of figures below, choose how they are related. the chart …
1. First pair: Translation 2. Second pair: Rotation 3. Third pair: Reflection 4. Fourth pair: Translation
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arc cd is \\(\\frac{1}{4}\\) of the circumference of a circle. what is …
\(\frac{\pi}{2}\) radians (corresponding to the option: \(\boldsymbol{\frac{\pi}{2}}\) radians)
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determine the range of the following graph:
$-4 \leq y < 1$
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solve the inequality and graph the solution.\\(9 + 2a < 1\\)\ plot the …
The solution to the inequality is \(a < -4\). For the graph, place an open circle at \(-4\) on the number line and draw a ray pointing to the left (towards more negative numbers) …
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determine if the two triangles are necessarily congruent. if so, fill i…
are
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given right triangle mno, which represents the value of cos(m)? $\\frac…
$\frac{MN}{MO}$ (the second option: $\boldsymbol{\frac{MN}{MO}}$)
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write the equation of the line in fully simplified slope - intercept fo…
$y = 2x-2$
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2 given: \\(\\overline{jl} \\cong \\overline{nm}\\), \\(k\\) is the mid…
| Statements | Reasons | |------------|---------| | 1. $\overline{JL} \cong \overline{NM}$ | 1. Given | | 2. $K$ is the midpoint of $\overline{JN}$ and $\overline{LM}$ | 2. Given …
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(5, 6)$ Point in final figure: $(-1, -2)$
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name the marked angle in 2 different ways.
$\angle M$ $\angle LMJ$
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solve the inequality and graph the solution. p > 3.2 to draw a ray, plo…
The simplified inequality is $p > 6$. To graph it: 1. Plot an open circle at $p=6$ on the number line. 2. Draw a ray starting at this open circle and extending to the right (towar…
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select all the trapezoids.
All four figures are trapezoids: 1. Top-left green quadrilateral 2. Top-right blue quadrilateral 3. Bottom-left orange parallelogram 4. Bottom-right orange quadrilateral
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
\( 70^{\circ} \)
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if $uv = 7p + 6$, $qt = 41p - 23$, and $rs = 23p$, what is the value of…
\(p = 1\)
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the figure below has a point marked with a large dot. first, rotate the…
Point in original figure: \((-4, 6)\) Point in final figure: \((6, 4)\)
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graph the line x = 7.
The line \( x = 7 \) is a vertical line parallel to the \( y \) - axis, passing through the point where \( x = 7 \) on the \( x \) - axis (e.g., points like \( (7,0) \), \( (7,2) …
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$\\angle vyx \\cong \\angle vwx$ and $\\angle wvy \\cong \\angle wxy$. …
Statement 6: \( \overline{WX} \parallel \overline{VY} \) Reason 6: Consecutive Interior Angles Theorem (If two consecutive interior angles are supplementary, then the lines are pa…
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$\\overline{tu} \\cong \\overline{qr}$, $\\angle rst \\cong \\angle qpu…
| Statement | Reason | |-----------|--------| | 1. $\overline{TU} \cong \overline{QR}$ | Given | | 2. $\angle RST \cong \angle QPU$ | Given | | 3. $\angle PUQ \cong \angle RTS$ | …
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use the drawing tool to form the correct answer on the provided graph. …
To draw the line: 1. Select the "Line" tool from the drawing tools. 2. Plot the point \((-1,0)\) (it is already marked on the graph). 3. Find another point on the line with slope …
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given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…
\( x = 17 \)
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the base of a solid oblique pyramid is an equilateral triangle with a b…
$9\sqrt{3}$ in. (Option B)
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the figure below has a point marked with a large dot. first, reflect th…
Point in original figure: $(5, -3)$ Point in final figure: $(5, 3)$
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fill in the blank and dropdown menus to form a true statement below. an…
The polygon above has 9 sides. It is an equilateral (but not equiangular) nonagon; from the given dropdown, note: the provided dropdown options do not include the correct 9-sided …
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1. a rectangular pool is x feet long and y feet wide. the new design of…
The perimeter of the redesigned pool (including pathway) is \( 2.3x + 2.22y+32 \) feet.
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is (x, y) a correct solution for the system of equations? directions: s…
1. Yes, (1, 3) is a correct solution to the system. 2. No, (4, 0) is not a correct solution to the system. 3. No, (2, 4) is not a correct solution to the system. 4. Yes, (-3, 8) i…
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explain how you could use the sas criterion to determine that the trian…
C. Determine the two side lengths on either side of the shared ordered pair at point \( A \) for both triangles and then compare for proportionality.
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(a) completar los enunciados de congruencia a continuación. \\(overline…
### Parte (a) y (b) Para las congruencias de lados y ángulos, se basa en la correspondencia de los vértices. Observando las figuras, se identifican las correspondencias: - $\overl…
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dilate the triangle using a magnitude of \\(\\frac{1}{2}\\) and a cente…
To solve the problem of dilating a triangle with a scale factor of \(\frac{1}{2}\) and center of dilation at \((2, 2)\), we need to know the original coordinates of the triangle \…
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the two polygons below are similar. complete the similarity statement. …
Similarity statement: $RSTU \sim FIHG$ Ratio of side lengths: $\frac{3}{5}$
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given ( mathbf{v} = 2mathbf{i} - mathbf{j} ) and ( mathbf{w} = 7mathbf{…
$62.0^\circ$
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(a) completar los enunciados de congruencia a continuación. $\\angle x\…
### (a) Para los ángulos congruentes, debemos identificar la correspondencia entre los triángulos. Suponiendo que el triángulo \( DEC \) (con vértices \( D, E, C \)) y el triángul…
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question 11 find the equation of a line containing the following points…
$x=-1$
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(a) completar los enunciados de congruencia a continuación. \\(overline…
### (a) Para completar las congruencias de lados, suponemos que los triángulos \( \triangle DEF \) y \( \triangle TSR \) (o la correspondencia correcta de vértices) son congruente…
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1. solve these equations. if there is more than one solution, separate …
1. a. $n=14$ b. $m=-66$ 2. $r=\sqrt{\frac{10}{\pi}}$ meters
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a is equidistant to b and c. find bd. bd = ? b 8x + 5 d 6x + 15 c
45
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apply: circle problem #2 point o is the centre of the circle. what is t…
\(44\)
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question 11 find the equation of a line containing the following points…
$x=-1$
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a is equidistant to b and c. find bd. bd = ? b 12x - 8 d 8x + 8 c
\( 40 \)
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question 11 find the equation of a line containing the following points…
$x=-1$
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question determine which translations would map figure y onto figure z.…
A translation $\boldsymbol{3}$ units up and $\boldsymbol{3}$ units right.
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la pirámide rectangular y el prisma rectangular que se muestran a conti…
\( 16 \, \text{cm}^3 \) ### (b) Cálculo del volumen del prisma
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a is equidistant to b and c. find bd. bd =? b 11x + 9 d 4x + 30 c
\( 42 \)
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a is equidistant to b and c. find bd. bd = ? b 3x + 5 d 7x - 3 c
11
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ad is a perpendicular bisector of bc. find ac. 11x - 2 5x + 10 ac = ? b…
\( 20 \)
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question what is the image point of $(-5, 0)$ after a translation left …
$(-7, -1)$
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question what is the image point of (-7,4) after a translation left 3 u…
$(-10, 9)$
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apply: circle problem #1 point o is the centre of the circle. what is t…
\(112\)
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explore: tangent and chord what do you notice? where is the vertex for …
The vertex of each angle (formed by a tangent and a chord) is at the point of tangency (on the circle). Also, the measure of the tangent - chord angle is half the measure of its i…
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explore: what do you notice? ac is the diameter of the circle. try movi…
As point B moves around the green semicircle, the angle ∠B remains a right angle (90°) at all times. This is due to Thales' theorem, which states that an angle inscribed in a semi…
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$\\overline{xy}$ is dilated with a scale factor of 2 and a center of di…
\(X'\) is at \((-6, 8)\) and \(Y'\) is at \((-14, 4)\) (the third option: \(X'\) is at \((-6,8)\) and \(Y'\) is at \((-14,4)\))
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question the width of a rectangle measures (5h + 2k) centimeters, and i…
\( 12h + 14k \) (corresponding to the option "12h + 14k" among the given choices)
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explore: what do you notice? drag inscribed angles $\\angle$l1 & $\\ang…
When dragging inscribed angles ∠1 and ∠2 (that subtend the same or congruent arcs), their measures remain equal (e.g., both are 30° here), showing that inscribed angles subtending…
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explore: what do you notice? drag points a and b. inscribed angles ∠a a…
Notice: Inscribed angles subtended by the same arc have equal measures (both \( 30^\circ \) here, and the central angle is twice that, \( 60^\circ \)). Question: How does the posi…
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do the dilations of \\(\\overline{ab}\\), \\(\\overline{bc}\\), and \\(…
The correct option is: $\boldsymbol{\overline{A'B'}}$ and $\overline{A'C'}$ pass through the center of dilation because they are on the same line as $\overline{AB}$ and $\overline…
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en la figura mostrada a continuación, ( l parallel m ). hallar ( x ). (…
\( x = 50 \)
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en la figura mostrada a continuación, ( l parallel m ). hallar ( x ).
\( 55 \)
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question 5 find the equation of a line with given slope and containing …
$y = \frac{3}{2}x - 1$
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graph the line with the equation $y = \\frac{1}{3}x + 4$.
The line passes through points $(0, 4)$ and $(3, 5)$ (and other points following the slope $\frac{1}{3}$), forming a straight line rising from left to right on the coordinate plan…
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question the width of a rectangle measures (6p + 9) centimeters, and it…
\( 18p + 30 \)
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question the width of a rectangle measures (8s + 8t) centimeters, and i…
24t + 28s (the first option among the choices)
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in a right triangle, one angle measures 25°, and the opposite side is 5…
Approximately 10.72 units
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explore: measurements of inscribed and central angles measure of \\(\\a…
The inscribed angles are half as large as the central angles (or the measure of an inscribed angle is $\frac{1}{2}$ the measure of its corresponding central angle, so the inscribe…
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explore: measurements of inscribed and central angles enter the measure…
For the first row: - Measure of \( \angle I \): \( 39.8^\circ \) - Measure of \( \angle C \): \( 79.6^\circ \) - \( \frac{\angle I}{\angle C} \): \( 0.5 \) (For the other rows, yo…
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a pole that is 3.5 m tall casts a shadow that is 1.31 m long. at the sa…
112 m
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pythagorean theorem at best buy television fun facts: - tvs come in a w…
The length of the 48 - inch television is approximately \(\boldsymbol{41.85}\) inches.
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explore: measurements of inscribed and central angles enter the measure…
39.8°
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determining interior and exterior angles in circles given: in circle i,…
\( 52.5 \)
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in the right triangle, one leg is 30, one acute angle is 20°, and we ne…
$W \approx 10.92$
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explore: what do you notice? move the three red points. what do you not…
The measure of the central angle (angle C) is approximately twice the measure of the inscribed angle (angle I) that subtends the same arc. As the red points are moved (changing th…
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find the value of x. round to the nearest enth. 18° 14 x
$45.3$
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in the triangle figure, side ab is 11, angle at b is 74 degrees, angle …
$x \approx 3.03$
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determining interior and exterior angles in circles given: - ( moverarc…
The reason for \( m\angle DLJ = 46.75^{\circ}\) (wait, the image says \( 56.75^{\circ}\), maybe my arc measures are wrong. Wait, maybe the correct formula application: Let's recal…
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explore: what do you notice? angle i is an inscribed angle. move the re…
An inscribed angle is an angle with its vertex on the circumference of a circle, and its two sides are chords of the circle (connecting the vertex to two other points on the circl…
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determining interior and exterior angles in circles given: in circle o,…
\( 56.75 \)
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example 3: draw ( overline{mn} ), the image of ( overline{mn} ) after a…
The image $\overline{M'N'}$ has endpoints $M'(-3,-1)$ and $N'(-5,-6)$ (plot and connect these points on the provided coordinate grid). --- ### Example 4
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engage: which one doesnt belong? choose one image that you think doesnt…
The bottom - right image (the fourth one in the grid) doesn't belong. For example, it is the only one with a right - angled triangle (indicated by the small square - shaped angle)…
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find the length of side x in the right triangle with hypotenuse 47 and …
# Explicación: ## Paso 1: Identificar relación trigonométrica El lado $x$ es adyacente al ángulo de $24^\circ$, y el lado de 47 es la hipotenusa. Usamos el coseno: $\cos(\theta) =…