Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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what is the formula for the surface area of a right prism if p = x and …
D. \( SA = xt + 2B \) (assuming the fourth option is labeled D; if the options are labeled differently, adjust the identifier, but the formula is \( SA = xt + 2B \))
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review schwa, the sounds of y, and r-controlled vowels - remember, the …
### First Part (Circle the word with schwa): 1. seven 2. America 3. stumble 4. circus 5. sculptor 6. monkey ### Second Part (Rewrite with correct vowel): 1. impolite 2. liberty 3.…
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the surface area of a sphere with a radius of 3 units is 113.04 units s…
True
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complete the proof that ∠h ≅ ∠j. statement 1: overline{hi} ≅ overline{i…
For Statement 1: Reason is "Marked Congruent Segments (or Given)"; For Statement 2: Reason is "Marked Congruent Segments (or Given)"; For Statement 3: Reason is "Reflexive Propert…
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what is the formula for the volume of a cone given h = c? ○ $v = \\frac…
B. \( V = \frac{1}{3}\pi r^2 c \) (assuming the second option is labeled B, if we follow the order of options: first option A, second B, etc. The second option is \( V = \frac{1}{…
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what is the volume of a sphere with a diameter of 30 units? 14,130 unit…
14,130 units cubed (the first option)
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gh ≅ fi and fg ≅ hi. complete the proof that ∠g ≅ ∠i. image of triangle…
1. Reason: Given 2. Reason: Given 3. Reason: Reflexive Property of Congruence 4. Reason: SSS Congruence Postulate 5. Reason: CPCTC
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question 31 of 50 what is the lateral area of the solid? image of a 3d …
192 units squared
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find the measure of a single exterior angle of the regular polygon show…
\( 40^\circ \) (Wait, but wait, maybe the polygon has 8 sides? Wait, no, the figure: let's check again. Wait, the polygon has 9 sides? Wait, no, maybe 9. Wait, no, the user's imag…
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question 30 of 50 a pyramid and a cone have similar types of bases. ○ f…
True
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what is the sum of the measures of the exterior angles of the polygon s…
The sum of the measures of the exterior angles of the triangle (the given polygon) is \( 360^\circ \)
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question 29 of 50 if a cone and cylinder have the same height and their…
False
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how many sides does a polygon have if the sum of the interior angles is…
The polygon has 4 sides.
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question 28 of 50 the volume of a cone with a height of 4 units and a b…
A. False
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read the paragraph from carmen’s personal narrative, “at bat.” “carmen …
B. "I thought my knees would give out and I would collapse."
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question 27 of 50 what is the volume of a cylinder with a height of 12 …
942 units cubed
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what is the measure of each interior angle of the regular polygon pictu…
\(120^{\circ}\)
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question 26 of 50 area is the measure of the square units covered by th…
True (the option with "True" text)
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△tuv ≅ △tsw. complete the proof that ∠uwv ≅ ∠swv. | statement | reason …
The reason for step 10 (proving \( \angle UWW \cong \angle SWW \)) is **CPCTC** (Corresponding Parts of Congruent Triangles are Congruent). So the answer is to use CPCTC as the re…
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the surface area of a pyramid is the sum of the areas of the lateral fa…
True (the option with the blue dot, labeled "True")
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question 24 of 50 the volume of a pyramid with a height of 4 inches and…
False
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complete the proof that ∠fhg ≅ ∠fhi. image of a geometric figure with t…
1. Reason: Given 2. Reason: Given 3. Reason: Reflexive Property of Congruence 4. Reason: SSS Congruence Postulate 5. Reason: CPCTC (Corresponding Parts of Congruent Triangles are …
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question 22 of 50 a perpendicular segment may be drawn between the cent…
True (the option: True)
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prisms are three - dimensional objects formed from polygons. true false
True
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what is the formula for the volume of a cylinder with r = o? v = \\(\\f…
C. \( V = \pi o^2 h \) (Note: Assuming the third option is labeled as C; if original labels were A - E, adjust accordingly. Based on the options, the correct one is the third opti…
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finding volume example 3 find the volume of a rectangular prism with a …
The volume of the cube is 64 cubic inches. ### Problem 8: Sphere with radius 2 feet
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what is the formula for the volume of a prism given h = u? ○ v = bu ○ v…
A. \( V = Bu \)
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question 18 of 50 if a right rectangular prism is divided into smaller …
True
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$$overline{uv} cong overline{wx}, overline{yz} cong overline{vw}, \text…
The missing statement for step 8 (to complete the proof) is \( \triangle WXZ \cong \triangle UVZ \) (by SSS Congruence Postulate), and then \( \angle X \cong \angle U \) (by CPCTC…
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a square pyramid with a height of 9 inches has a volume of 300 cubic in…
The length of one of the sides of the base is 10 inches.
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find the volume of the sphere shown below. use 3.14 or the calculator v…
The volume of the sphere is \( 1766.25 \, \text{cubic centimeters} \) (or \( 1766.25 \, \text{cm}^3 \)).
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a map has a scale of 1 inch : 6 kilometers. rocki measured the distance…
14.4
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the scale of figure a to figure b is figure a 5 inches figure b 1/2 inc…
\(\frac{1}{10}\)
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find the volume of the figure shown below. 16 m 13 m 14.5 m provide an …
\( 1005.33 \, \text{cubic meters} \) (or \( 1005.33 \, \text{m}^3 \))
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if a sphere has volume \\(\\frac{4}{3}\\pi\\) cubic yards, what is its …
The radius of the sphere is \( 1 \) yard.
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use each scale factor to determine if the scale drawing was a reduction…
- \( \frac{2}{12} \): Reduction - \( 4 \): Enlargement - \( \frac{1}{5} \): Reduction - \( \frac{7}{2} \): Enlargement - \( 0.5 \): Reduction
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use each scale factor to determine if the scale drawing was a reduction…
- \( \frac{5}{12} \): Reduction - \( 4 \): Enlargement - \( \frac{1}{10} \): Reduction - \( 1\frac{1}{2} \): Enlargement - \( 0.5 \): Reduction
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14. $y < x$ graph r of points: s, and find the slope of the line:
The graph representing \( y < x \) has a dashed line \( y = x \) (slope 1, through (0,0)) and shading below the line. (If choosing the correct graph among the ones in the image, i…
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gh ≅ gj and hi ≅ ij. complete the proof that ∠h ≅ ∠j. statement | reaso…
To complete the proof: 1. Reason for \(\overline{GH} \cong \overline{GJ}\): Given 2. Reason for \(\overline{HI} \cong \overline{IJ}\): Given 3. Reason for \(\overline{GI} \cong \o…
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v. graph each of the inequalities: 13. $3x + 2y \\leq 4$
To graph \(3x + 2y\leq4\): 1. Rewrite as \(y\leq-\frac{3}{2}x + 2\). 2. Draw the solid line \(y =-\frac{3}{2}x + 2\) (slope \(-\frac{3}{2}\), \(y\) - intercept \(2\), \(x\) - inte…
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quiz 3: volumes of solids what is the volume of a regular pyramid havin…
48 in³ (the first option with the dotted circle)
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the volume of a prism which has an altitude of 10 units and has a right…
300 units³ (the option with 300 units³, which is the last option in the list: 300 units³)
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quiz 3: volumes of solids morgan is wrapping a present. the gift is a r…
\( 792 \text{ in}^2 \)
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quiz 3: volumes of solids angel visited the great pyramid of giza in eg…
\(9.0\times10^{7}\text{ ft}^3\) (the option with \(9.0\times10^{7}\text{ ft}^3\))
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v. graph each of the inequalities: 13. $3x + 2y \\leq 4$ 14. $y < x$ 15…
10
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quiz 3: volumes of solids jayden and dakota are on the decorating commi…
432 ft² (the first option, 432 ft²)
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which graph does not show a function?
The graph at the Top - Right (the second graph in the top row)
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2. surface areas of circular solids the lateral area of a right cylinde…
314 units² (the last option: 314 units²)
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read this excerpt from \the world on turtles back.\ the birds of the se…
B. felt compassion for the woman because she was scared
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quiz 2: surface areas of circula a right cone has an altitude of 4 unit…
47.1 units² (the option with 47.1 units²)
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quiz 2. surface areas of circular solids what is the surface area of a …
1,186.9 units²
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quiz 2: surface areas how is a cylinder different from a prism? it has …
The option "The bases of a cylinder are circles" (the third option in the list).
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which sentence from \the world on turtles back\ best illustrates why th…
C. The woman placed the dirt on Turtle's back and performed a ritual to create the earth
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quiz 1: surface areas of prisms and pyramids what is the surface area o…
\( 340 \, \text{cm}^2 \)
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quiz 1: surface areas of prisms and pyramids what is the lateral area o…
240 in²
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current skill which graph does not show a function? (four graphs with c…
The graph in the top - right (the one with the triangular - shaped pink graph) does not show a function.
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given ( overline{qv} cong overline{st} ), ( overline{rs} cong overline{…
The last statement (step 8) is \( \boldsymbol{\angle QRV\cong\angle SUT} \) with the reason "CPCTC (Corresponding Parts of Congruent Triangles are Congruent)".
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quiz 1: surface areas what is the surface area of the prism shown? 12 1…
828 units²
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complete the proof that $\\angle q \\cong \\angle s$. (image of a geome…
Statement 13: \( \triangle QWU \cong \triangle STV \) Reason: SSS (Side - Side - Side) Congruence Criterion (since \( QW\cong ST \), \( QU = SV \), \( UW = TV \)) Then, by CPCTC, …
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$$overline{tw} cong overline{uv}$$ and $$overline{tu} cong overline{vw}…
For Statement 1, Reason: Given; For Statement 2, Reason: Given; For Statement 3, Reason: Reflexive Property of Congruence; For Statement 4, Reason: SSS Congruence Criterion; For S…
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a student is to show that triangle adb is congruent to triangle adc. ad…
To prove \( \triangle ADB \cong \triangle ADC \): 1. **Given**: \( AD \perp BC \), so \( \angle ADB = \angle ADC = 90^\circ \) (right angles). 2. **Reflexive Property**: \( AD = A…
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complete the proof that ∠g ij ≅ ∠g ih. (image of triangle with markings…
1. Reason for \(\overline{GH} \cong \overline{GJ}\): Given (Diagram - congruent segments) 2. Reason for \(\overline{HI} \cong \overline{IJ}\): Given (Diagram - congruent segments)…
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complete the proof that \\( \\triangle gji \\cong \\triangle igh \\). (…
1. Reason: Given (or Opposite sides of a parallelogram are congruent) 2. Reason: Given (or Opposite sides of a parallelogram are congruent) 3. Reason: Reflexive Property of Congru…
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iv. graph each of the equations: 10. $2x + y = 6$ 11. $2y = x - 2$ 12. …
(Graphing Steps Summary): - For \( 2x + y = 6 \): Plot \( (3,0) \) and \( (0,6) \), draw line. - For \( 2y = x - 2 \): Plot \( (0,-1) \) and \( (2,0) \), draw line. - For \( y=-1 …
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complete the proof that \\( \\triangle g ij \\cong \\triangle igh \\). …
1. Reason for \( \overline{GH} \cong \overline{IJ} \): Congruent Segments (Diagram Markings) 2. Reason for \( \overline{HI} \cong \overline{GJ} \): Congruent Segments (Diagram Mar…
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choose all answers that describe the quadrilateral klmn if m∠k = m∠l = …
平行四边形、矩形、菱形、正方形（即选项：平行四边形，矩形，菱形，正方形）
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choose all answers that describe the quadrilateral below. answer attemp…
A. Parallelogram, B. Rectangle
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r is the midpoint of \\(\\overline{qs}\\), \\(\\overline{su} \\cong \\o…
- For Statement 4 ( \( \overline{QR} \cong \overline{RS} \) ), the reason is "Definition of Midpoint". - For Statement 5 ( \( \triangle RSU \cong \triangle QRT \) ), the reason is…
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fill in the sentence below with the description that most specifically …
矩形；它有四个直角，且对边分别相等（或它是四个角为直角的四边形，对边相等）
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u is the midpoint of \\(\\overline{st}\\). complete the proof that \\(\…
- For Statement 3 (\(\overline{SU} \cong \overline{TU}\)): Reason is "Definition of Midpoint" - For Statement 4 (\(\overline{RU} \cong \overline{RU}\)): Reason is "Reflexive Prope…
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h is the midpoint of \\(\\overline{gi}\\). complete the proof that \\(\…
SSS Congruence Postulate
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fill in the sentence below with the description that most specifically …
The quadrilateral is most specifically a rectangle, because it has four right angles and its opposite sides are equal (the left and right sides are equal, the top and bottom sides…
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what values of v and w make \\( \\triangle ijk \\cong \\triangle yzx \\…
\( v = 18 \), \( w = 17 \)
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what values of b and c make δrst ≅ δzyx? triangle rst with right angle …
\( b = 17 \), \( c = 3 \)
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what values of y and z make \\( \\triangle cde \\cong \\triangle kij \\…
\(y = 4\), \(z = 10\)
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10 given: y is the midpoint of \\(\\overline{xz}\\) prove: \\(xy = \\fr…
s: ### Problem 10 The proof is completed as shown in the two - column table above, and we have successfully proven that \( XY=\frac{1}{2}XZ \). ### Problem 11 The proof is complet…
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identifying necessary information in the side - splitter theorem based …
NK (the option corresponding to NK, which is one of the options: the option with "NK" as the text)
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10 which of the following describes a rigid motion transformation? a. s…
D. Hitting a tennis ball over a net
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9 how many degrees has △abc been rotated counterclockwise about the ori…
A. \( 270^\circ \)
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8 if the trapezoid below is reflected across the x-axis, what are the c…
D. \((4, -8)\)
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rotations drag the image coordinates at the right to match the correct …
- \(P'\): \((3,0)\) - \(Q'\): \((0,3)\) - \(R'\): \((0,0)\) (We match \(P\) (on \(y\) - axis) to \(P'=(3,0)\), \(Q\) (on \(x\)
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7 which of the following steps were applied to △abc obtain △abc ? a. sh…
A. Shifted 3 units right and 2 units up
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6 which of the following is not a rigid motion transformation? a. dilat…
A. Dilation
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5 which sequence of transformations will result in an image that maps o…
B. Reflect over the \( y \)-axis, and then reflect again over the \( y \)-axis.
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rotations drag the image coordinates at the right to match the correct …
\(A'\): \((5,-1)\) \(B'\): \((5,-5)\) \(C'\): \((2,-6)\)
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4 if △abc is reflected across the y - axis, what are the coordinates of…
B. \((4, 2)\)
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rotations drag the image coordinates at the right to match the correct …
- \(D'\): \((-2,-1)\) - \(E'\): \((-8,-3)\) - \(F'\): \((-3,-4)\) (assuming pre - image D: \((2,1)\), E: \((8,3)\), F: \((3,4)\) based on the rotation rule \((x,y)\to(-x,-y)\))
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3 abcd is rotated counterclockwise about the origin. by how many degree…
C. 270°
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sketch the graph of the hyperbola. determine the foci and the equations…
The foci are \((-2,3),(8,3)\). The asymptotes are \(y=\frac{3}{4}x+\frac{3}{4}\) and \(y =-\frac{3}{4}x+\frac{21}{4}\) (or simplified, \(y=\frac{3}{4}(x - 3)+3\) and \(y=-\frac{3}…
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find the measures of the numbered angles in the kite shown to the right.
\(\angle1 = 90^\circ\), \(\angle2 = 44^\circ\), \(\angle3 = 90^\circ\), \(\angle4 = 44^\circ\), \(\angle5 = 46^\circ\)
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rotations given the coordinates of the pre - image, drag the points to …
To graph the image after 90° counterclockwise rotation about the origin: - \(P(5, 0)\) rotates to \(P'(0, 5)\) - \(Q(2, -9)\) rotates to \(Q'(9, 2)\) - \(R(-3, -8)\) rotates to \(…
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what transformations were applied to abcd to obtain abcd? a. rotate 90 …
B. Rotate 90 degrees counterclockwise about the origin, then translate 3 units left.
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1 what degree of rotation about the origin will cause the triangle belo…
D. \(360^\circ\)
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find the measures of the numbered angles in the kite.
\(\angle 1 = 90^\circ\), \(\angle 2 = 35^\circ\), \(\angle 3 = 55^\circ\)
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plot and connect the points in the order listed below. when you are don…
32
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question 16 of 50 given og = 16 and pe = 9, what is the length of \\(\\…
26
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find the measures of the numbered angles in the isosceles trapezoid.
\(\angle1 = 33^\circ\), \(\angle2 = 147^\circ\), \(\angle3 = 147^\circ\)
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question 11 of 50 what is ( moverarc{bhd} )? diagram of a circle with c…
\( 240^\circ \)
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in ⊙o if \\(\\overline{gs} \\perp \\overline{xj}\\) and \\(\\overline{x…
\(\boldsymbol{\overline{GS}\parallel\overline{EA}}\) (the option " \(\overline{GS}\parallel\overline{EA}\)")
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what is the length of the the midsegment of a trapezoid with bases of l…
20