Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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14. which statement correctly describes the graph of ( x geq 2 )? a. cl…
a. Closed circle at 2, shading to the right
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complete the proof that an exterior triangle angle measure equals the s…
- For \( m\angle1 \): \( 80^\circ \) - For \( m\angle2 \): \( 100^\circ \) - For the proof's scope: A. Every triangle
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11. how do you represent the solution ( x < 7 ) on a number line? a. op…
a. Open circle at 7 with shading to the left
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a library and a music store are located on the same straight road. thei…
B. The distance is 5 kilometers because -3-2=-5 and the absolute value of -5 is 5.
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circles a and b coincide. alex concluded: \circles a and b have no side…
A. The circles are mapped onto each other, so they are congruent.
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consider the two triangles shown below. note: the triangles are not dra…
A. Yes
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in rectangle efgh, it is known that the measure of \\( \\angle e \\) ..…
\( a = 21 \)
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point y is in the interior of ∠xwz. given that \\(\\overleftrightarrow{…
36
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what is the domain? -6 < x < 3 -6 ≤ x < 3 -6 ≤ x ≤ 3 -6 < x ≤ 3
$-6 \leq x < 3$
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prove that $\\triangle mnq \\cong \\triangle pnq$. (image of triangle w…
2. \( m\angle MQN = m\angle PQN=107^\circ \) (Pick angle: \( \angle PQN \)) 3. \( NQ = NQ \) (Pick statement: \( NQ = NQ \)) 4. Congruence criterion: ASA (Angle - Side - Angle)
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molly was curious if quadrilaterals abcd and efgh were congruent, so sh…
B. One more transformation – a reflection – would map ABCD onto EFGH. So the quadrilaterals are congruent.
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determine whether the polygons are similar. if they are, write a simila…
\(\frac{3}{2}\)
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what is the ordered pair for point a? ( ?, )
$(4, 2)$
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given: \\(\\overline{nh}\\) bisects \\(\\overline{pj}\\) and \\(s\\) is…
By showing $\triangle PSN\cong\triangle JSH$ (SAS: $PS = JS$, $\angle PSN=\angle JSH$, $NS = HS$) and using CPCTC, we prove $\overline{PN}\cong\overline{JH}$.
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list the pairs of congruent angles and the extended proportion that rel…
\( \angle U \cong \angle M \) \( \angle V \cong \angle N \) \( \angle W \cong \angle P \) \( \angle X \cong \angle Q \) (For the blanks in the original problem: \( \angle U \cong …
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a graph representing an inequality in one variable is shown on a line. …
number open
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fill in the blank. the ratio of corresponding linear measurements of tw…
scale factor
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two polygons are similar polygons if corresponding angles are congruent…
proportional
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fill in each blank. two polygons are similar polygons if corresponding …
congruent
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figures that have the same shape but not necessarily the same size are …
similar
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find ij. triangle image with right angle at j, angle at h is 54°, lengt…
\( 6.1 \)
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sketch the graph of the following circle. $(x - 4)^2 + (y - 5)^2 = 64$ …
8
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is the point of intersection of the two lines, which is \( (-6,-3) \)
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graph each equation. 9) $\\frac{x^2}{4} + \\frac{y^2}{9} = 1$
The graph is an ellipse centered at \((0,0)\) with vertices \((0,\pm3)\) and co - vertices \((\pm2,0)\) (plotted and connected on the given coordinate grid).
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visit www.bigideasmathvideos.com to watch the flipped video instruction…
Two angles are complementary if and only if the sum of the measures of the angles is $90^\circ$.
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find c. right triangle with angles 30°, 60°, 90°, hypotenuse? wait, no,…
\(14\)
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visit www.bigideasmathvideos.com to watch the flipped video instruction…
Two angles are complementary if and only if the sum of the measures of the angles is $90^\circ$.
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write the equation of the line in fully simplified slope - intercept fo…
$y=\frac{2}{5}x+6$
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select the correct answer from each drop - down menu. how are rays and …
First dropdown (for angle definition): rays that extend from a common point Second dropdown (angle measure relation): not
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) gra…
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0,-3)\) and co - vertices at \((2,0)\), \((-2,0)\) (the ellipse is drawn through these fou…
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find the sine, cosine, and tangent of ∠b. simplify your answers and wri…
\( \sin(B) = \frac{55}{73} \) \( \cos(B) = \frac{48}{73} \) \( \tan(B) = \frac{55}{48} \)
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look at this diagram: if \\( \\overleftrightarrow{ln} \\) and \\( \\ove…
$116^\circ$
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select the correct answer from each drop - down menu. how are rays and …
First dropdown (for angle definition): rays that extend from a common point Second dropdown (angle measure relation): not
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find the length of side $x$ to the nearest tenth. (there is a right tri…
1.7
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find the length of side $x$ to the nearest tenth. (there is a right tri…
1.7
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find the length of side x in simplest radical form with a rational deno…
\(x = 8\sqrt{2}\)
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find the length of side x in simplest radical form with a rational deno…
\(x = 8\sqrt{2}\)
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solve the inequality and graph the solution. $p + 7 \\leq -1$ to draw a…
The solution to the inequality is \( p \leq -8 \). For the graph, plot a closed circle at -8 and draw an arrow to the left.
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solve the inequality and graph the solution. $c + 7 < 10$ to draw a ray…
The solution to the inequality \( c + 7<10 \) is \( c < 3 \). The graph of the solution has an open circle at 3 and an arrow pointing to the left on the number line.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0,-3)\) and co - vertices at \((2,0)\), \((-2,0)\). To draw it, plot these four points and…
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in δmno, \\(\\overline{mn} \\parallel \\overline{pq}\\). given that \\(…
25
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a) create a segment addition equation to find the length of bc, then b)…
s: a) The Segment Addition equation is \( 22 + x = 61 \) (where \( x \) is the length of \( BC \)). b) The value of \( x \) is \( \boldsymbol{39} \).
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find the sine, cosine, and tangent of ∠x. simplify your answers and wri…
\( \sin(X)=\frac{72}{97} \) \( \cos(X)=\frac{65}{97} \) \( \tan(X)=\frac{72}{65} \)
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2, 0)\), \((-2, 0)\), and is sketched by connecting thes…
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4. draw the parabola for the set of analysis given below. 5 marks draw …
1. Axis of symmetry: Vertical line $x=3$ drawn through the vertex. 2. X-intercepts: Points $(2, 0)$ and $(4, 0)$ plotted. 3. Y-intercept: Point $(0, 8)$ plotted. 4. Direction of o…
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3. complete the analysis for the following parabola. (5 marks) draw the…
- Axis of symmetry: $x=2$ - Zeroes (x-intercepts): $(-1, 0)$ and $(5, 0)$ - y-intercept: $(0, 5)$ - Direction of opening: Downward - Vertex: $(2, 5)$
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halla el volumen de la esfera. introduce una respuesta exacta en términ…
267.95 unidades³
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in the following figure, all angles formed by adjacent sides are right …
\(18x^2 + 24x\) (the option corresponding to this expression, which is the last option: \(18x^2 + 24x\))
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in row 1 type the equation of the line shown
$y=0$
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in row 1 type the equation of the line shown
$y=0$
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what is the sequence of transformations that maps △ abc to △ abc? selec…
Step 1: Reflect $\triangle ABC$ over the y-axis Step 2: Translate the reflected triangle: - Point $A$: 4 units up - Point $B$: 3 units right and 2 units down - Point $C$: 5 units …
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consider parallelogram jklm below. use the information given in the fig…
$m\angle NJK = 44^\circ$ $m\angle NKJ = 62^\circ$ $x = 3$
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8. identify and circle all terms below that are like terms for 8s. 8s 8…
The like terms for $8s$ are $\boldsymbol{8s}$ and $\boldsymbol{s}$ (already circled in the provided image).
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in the circle below, a is the center, \\(\\overline{bd}\\) is a diamete…
$\angle BAC$ (or $\angle BAD$, $\angle DAE$, etc.) ### (b)
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graph the line with slope -6 and y-intercept 6.
The line can be graphed by plotting two points: (0,6) and (1,0), then drawing a straight line through them.
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in the circle below, a is the center, \\(\\overline{bd}\\) is a diamete…
$\angle BAC$ (or $\angle BAD$, $\angle DAE$, etc.) ### (b)
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question find the value of tan m rounded to the nearest hundredth, if n…
$0.21$
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7) right triangle with one leg (sqrt{26}) m, another leg 5 m, hypotenus…
7) $\boldsymbol{\sqrt{51}\ \text{m}}$ 8) $\boldsymbol{9\sqrt{2}\ \text{in}}$ 9) $\boldsymbol{\approx 7.25}$ 10) $\boldsymbol{\approx 10.32}$ 11) $\boldsymbol{\approx 9.26}$ 12) $\…
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express tan t as a fraction in simplest terms. triangle with right angl…
$\frac{6}{7}$
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4. find the value of x so that the line through the points (1, 12) and …
\(x = 11\)
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circle the value that makes $25k \\geq 875$ true. 20 32 25 35
35
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4-12 practice problems name: 1. \\(4(x - 3) + (2x + 10)\\) 2. \\((3x + …
$6x-2$ ---
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1 + 2v > 7 to draw a ray, plot an endpoint and select an arrow. select …
The solution to the inequality \( 1 + 2v > 7 \) is \( v > 3 \). On the number line, plot an open circle at 3 and draw an arrow to the right.
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solve for x in the figure below. (figure with triangle fgh and exterior…
For the left - hand figure, \(x = 8\); for the right - hand figure, \(x=-11\)
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19 what is the name of this 3d shape? (image of a 3d shape with edges l…
B. Cube
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find the missing angle. (left triangle: angle at d with exterior angle …
s: Left triangle missing angle (∠E): $35^\circ$ Right triangle missing angle: $55^\circ$
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18 how do you name a 3d shape? a by its face b by its base c by its sur…
B. By its base
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how many faces does the figure have? image of a pyramid-like figure 4
4
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how many faces does this rectangular prism answer: face
6
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step 4: lets check! \\(\\frac{x}{3} > 6\\) step 5: represent on the num…
The solution to the inequality is $x > 18$. On the number line, this is represented by an open circle at 18 and an arrow extending to the right.
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how many faces does the figure have? 4
4
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how many rectangles are used to make the s an octagonal solid? answer: …
8
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look at the shape below. how many of its fac squares? answer:
2
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solve for x in the figure below. (left triangle: right - angled, one an…
For the right triangle: $x = -12$ For the triangle with $130^\circ$ angle: $x = 9.6$ (or $\frac{48}{5}$)
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geometry - unit #8 © 2020 kuta software llc. all rights reserved. name …
1) $x \approx 24.820$ km 2) $x \approx 14.422$ mi 3) $x \approx 12.728$ m 4) $x = 8$ mi 5) $x \approx 12.369$ cm 6) $x \approx 17.493$ mi
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the total area of the figure to the right is 459 cm². use this fact to …
The equation is $20x + 200 = 459$ (or the expanded form $x(20+x) + x(10-x) + 10(20-x) = 459$), and $x = 12.95$ cm
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y = -\\frac{5}{3}x - 1\ click to select points on the graph.\ (graph wi…
# Explicación: ## Paso 1: Encontrar el intercepto y La ecuación es $y = -\frac{5}{3}x - 1$, en la forma $y=mx+b$, el intercepto y es $b=-1$. Así que el punto es $(0, -1)$. ## Paso…
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find the missing angle. ? 60° 80° find the missing angle. d? e 75° k c …
First triangle missing angle: $40^\circ$ Second triangle missing angle: $30^\circ$
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a right triangle with one leg labeled ( x ), the other leg labeled ( 6 …
\(\sqrt{13}\space cm\) (corresponding to the option with \(\sqrt{13}\space cm\))
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if $\\triangle xyz$ is dilated by a factor of 3, what would be the area…
1. Area of $\triangle X'Y'Z'$: 27 2. Scale factor from $\triangle TUV$ to $\triangle QRS$: 2
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in the diagram, chords de and ca intersect at point b in circle f. cons…
Interior Angle Theorem (specifically the Exterior Angle Theorem, which is a sub - case of interior - angle related theorems for triangles)
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use the given information to complete the proof of the following theore…
3. \( \boldsymbol{\overline{BD} \cong \overline{BD}} \); Reason: Reflexive Property of Congruence 4. \( \boldsymbol{\triangle ABD \cong \triangle CDB} \); Reason: SSS Congruence P…
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5. a television is identified by the diagonal measurement of the screen…
The length of the television screen is approximately 28.5 inches, or exactly $\sqrt{812}$ inches.
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find the measure of angle b. between angle y and angle c. w = y c + b =…
\( y + 90 = 180 \) (or using \( c + b = 90 \), \( y + c + b = 180 \))
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19. the top of a fire escape ladder must reach a window ledge 14 ft abo…
Approximately 14.28 feet
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19. the top of a fire escape ladder must reach a window ledge 14 ft abo…
Approximately 14.28 feet
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use the given information to complete the proof of the following theore…
The reasons are as follows: - For statement 3: Alternate Interior Angles Theorem. - For statement 4: \( \overline{XZ} \cong \overline{XZ} \) - For statement 5: SAS Congruence Post…
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wednesday draw △hij after a 90° rotation about the origin. graph with h…
## Wednesday (Rotated $\triangle HIJ$ vertices): $H'(-3,-3)$, $I'(-2,1)$, $J'(-1,-2)$ (connect these points to draw the triangle) ## Thursday (Scaled triangle vertices): $A'(0,0)$…
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you have information about 3 angle pairs. use this information to find …
\(149^\circ\)
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in row 1 type the equation of the line shown
$x = -2$
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use the given information to complete the proof of the following theore…
2. \( \overline{AB} \parallel \boldsymbol{\overline{CD}} \) 3. \( \overline{AD} \parallel \boldsymbol{\overline{BC}} \) 4. \( \angle 1 \cong \boldsymbol{\angle 3} \) (Alternate In…
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10. to find the width of a river, jordan surveys the area and finds the…
The width of the river is approximately \( 43.3 \) meters.
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monday reflect △uvw over the y - axis. tuesday point f(-17, 8) is rotat…
1. Monday (Reflected $\Delta U'V'W'$ coordinates): $U'(2, 1)$, $V'(1, 4)$, $W'(-1, 2)$ 2. Tuesday (Image of $F$): $F'(17, -8)$ 3. Wednesday: Incomplete, original triangle coordina…
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monday reflect △uvw over the y - axis. v(-1, 4) w(1, 2) u(-2, 1) tuesda…
Reflected triangle vertices: $U'(2,1)$, $V'(1,4)$, $W'(-1,2)$ Coordinates of $F'$: $(17,-8)$
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question 3 (1 point) what would you need to do to prove that this quadr…
a. Use the distance formula to show that all sides are congruent ### Question 4
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lope is this; negative; positive
positive
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a square pyramid and its net are shown below. what is the surface area …
The surface area of the square pyramid is $\boxed{736}$ square centimeters.
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this is a parallelogram. which shows the parallelogram cut and rearrang…
- The diagram that shows the parallelogram cut and rearranged into a rectangle is the lower one (with length 9 yd and width 5 yd). - The area of the parallelogram is 45 square yar…
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question 1 (1 point) suppose you want to create a rectangle using st as…
$\frac{13}{6}$ ### Question 2
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alicia has molds to make ice cubes in the shapes of two pyramids that h…
Alicia is not correct. The volume of the rectangular pyramid (Shape 1) is \( 20 \, \text{cm}^3 \) and the volume of the triangular pyramid (Shape 2) is \( 10 \, \text{cm}^3 \), so…