Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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what is the volume of the pyramid? a 864 cm³ b 432 cm³ c 288 cm³ d 108 …
C. 288 cm³
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27. determine side a . 27. in an obtuse triangle the measurement of an …
\( \approx 34.68 \) inches
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in the circle below, f is the center, gi is a diameter, and m∠gfh = 80°…
s: (a) $\angle GIH$ (or other inscribed angle like $\angle HIG$) (b) $\overarc{GJI}$ (or $\overarc{GHI}$) (c) $\overarc{GIH}$ (or other major arc) (d) $180$ (e) $80$ (Note: For (a…
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questions 1.a cone has a radius of 3cm and slant height of 5cm, find th…
The total surface area of the cone is \( 24\pi\space cm^{2}\) (or approximately \( 75.36\space cm^{2}\)) ### Question 2
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in the circle below, suppose ( moverarc{kli} = 156^circ ) and ( mangle …
(a) \( \boldsymbol{78} \) (b) \( \boldsymbol{122} \)
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in the rectangle below, rv = 3x + 7, sv = 5x - 3, and m∠vst = 51°. find…
\( RT = 44 \) \( m\angle VTU = 39^\circ \)
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in the rectangle below, bd = 8x - 6, ae = 21, and m∠eba = 35°. find the…
\( x = 6 \), \( m\angle ECB = 55^\circ \)
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oking inward voyage across the ocean is very her, and the majority of m…
The narrator describes with great fondness the couple she met while on the ship. The narrator portrays the Governor’s mannerisms to explain why she distrusted him. The narrator us…
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11. measure the base and height of each triangle to the nearest tenth o…
To solve, first measure the base (\(b\)) and height (\(h\)) of the triangle (e.g., using a ruler) to the nearest tenth of a centimeter. Then use the formula \(A=\frac{1}{2}bh\) to…
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consider △pqr in the figure below. the perpendicular bisectors of its s…
\( PU = 64 \) \( PR = 124 \) \( QV = 80 \)
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consider △ghj in the figure below. the perpendicular bisectors of its s…
\( HN = 130 \), \( LJ = 104 \), \( GK = 47 \)
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(1) one voyage across the ocean is very m another, and the majority of …
The narrator describes with great fondness the couple she met while on the ship. The narrator portrays the Governor’s mannerisms to explain why she distrusted him. The narrator us…
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plot $2\\frac{1}{3}$ and $1\\frac{4}{9}$.
To plot $1\frac{4}{9}$: From 1, move 4 small ticks (each $\frac{1}{9}$) to the right. To plot $2\frac{1}{3}$ (which is $2\frac{3}{9}$): From 2, move 3 small ticks (each $\frac{1}{…
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measure the base and height of each triangle to the nearest tenth of a …
\( b = 24 \, \text{m} \) ### Question 15
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question solve the following system of inequalities graphically on the …
A point in the solution set is \((6,-17)\) (other valid points like \((4, - 14)\), \((8,-20)\) etc. are also correct)
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consider △def in the figure below. the perpendicular bisectors of its s…
\( EY = 60 \), \( DW = 68 \), \( DE = 128 \)
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g. ray makes the pattern below with tiles. each tile is 1 sq. unit. he …
No, Ray is not correct. The gray tiles cover 24 square units and the white tiles cover 8 square units, so their areas are not the same.
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(d) 134°, 112°, 42° triangle possible triangles with these measurements…
No triangle possible
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calculate the slant height of a cone whose radius is 3 cm and surface a…
The slant height of the cone is approximately \( \boldsymbol{7.82\space cm} \) (or \( \frac{86}{11}\space cm\approx7.82\space cm \))
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11 thomas has a sandbox in the shape of a rectangular prism. he wants t…
480
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(a) 50 cm, 40 cm, 80 cm triangle possible triangles with these measurem…
(a) Triangle possible (b) No triangle possible (c) No triangle possible
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find the area of the triangle below. be sure to include the correct uni…
\( 161.5\space ft^2 \)
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6 find the volume. (figure with dimensions 12 in, 9 in, 15 in, 16 in) 9…
The volume is \( 864 \) cubic inches.
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how many solutions exist for the system of equations in the graph? opti…
three (corresponding to the option "three")
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determine the curved surface area of a cone whose base radius is 7 cm a…
The curved surface area of the cone is \( 330\space cm^{2} \)
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determining similarity are the triangles similar? if so, state the simi…
Yes, the triangles are similar by the SAS (Side - Angle - Side) Similarity Theorem. $\triangle RPQ \sim \triangle FDE$ (or $\triangle PQR \sim \triangle DEF$ depending on correspo…
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find the area of the shaded shape. 1 unit 1 unit square units
20
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what is the surface area of the prism? a 156 sq in. b 936 sq in. c 1,87…
C. 1,872 sq in.
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find: \\cos a\ \ (right triangle with right angle at the bottom left, v…
$\frac{24}{26}$ (corresponding to the fourth option: $\frac{24}{26}$)
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a shed in the shape of a rectangular prism has a volume of 792 cubic fe…
11
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is the figure shown a prism or a pyramid? complete the explanation. the…
The figure shown is a prism. The figure has two congruent (parallel) triangular bases and rectangular lateral faces (or: two congruent parallel bases and rectangular side faces).
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ijklmnop is shown on the graph below. ijklmnop is dilated by a scale fa…
# Explanation: ## Step1: Find area of original figure First, we can divide the original figure IJKLMNOP into two rectangles. - Rectangle 1 (IJP O? Wait, let's look at coordinates.…
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what is the result after subtracting the 2ab from both sides? pythagore…
\( a^{2}+b^{2}=c^{2} \) (corresponding to the option "a² + b² = c²" among the given options)
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3. find the perimeter of a rectangle if the length is ( x^3 + 8x^2 - 2 …
The perimeter of the rectangle is \( 2r^3 + 22r^2 - 18r - 4 \)
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$\\overline{fg}$ is shown on the graph below. $\\overline{fg}$ is dilat…
50
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is the figure shown a prism or a pyramid? complete the explanation. the…
The figure shown is a prism. The figure has two congruent (triangular) bases and rectangular lateral faces. (For the dropdowns: first select "prism", then for the next two, likely…
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what operation is needed to eliminate the 2ab from both sides? pythagor…
subtract 2ab
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find the volume of a right circular cone that has a height of 9.1 cm an…
\( 42.8 \)
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select all of the statements/graphs that match the equation y = 5. the …
- "The graph has a slope of zero" (checked) - "The graph is horizontal" (checked) - The third graph (the one with the horizontal red line, likely at \( y = 5 \)) (checked)
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what is the equation of the graph shown here? options: y=4, x=4, y=-4, …
\( y = 4 \) (corresponding to the first option: \( y = 4 \))
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what is total area of triangles? combine the like terms. pythagorean th…
2ab
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volume of a cone level 1 score:8/15 penalty:1 off question find the vol…
\( 1006.3 \)
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select all of the statements/graphs that match the equation x = -1. 1 t…
The correct options are: - The graph has an undefined slope. - The graph is vertical. - The graph labeled 3 (assuming it's the vertical line \( x = -1 \)).
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what is area of one of the blue triangles, like a1? pythagorean theorem…
$\frac{1}{2}ab$ (corresponding to the option "1/2 ab")
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the equation x = 5 would form a -------- line. options: 1 diagonal, 2 v…
VERTICAL (the option labeled "VERTICAL" with the number 2)
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a storage chest has the shape of a rectangular prism with the dimension…
21
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question find the volume of a right circular cone that has a height of …
\( 1309.0 \)
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what is area of the yellow square, a5? pythagorean theorem a = a1 + a2 …
\(c^{2}\) (corresponding to the option with \(c^{2}\))
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volume of a cone level 1 score:9/15 penalty:1 off question find the vol…
\( 1309.0 \)
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question find the volume of a right circular cone that has a height of …
\( 135.8 \)
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question find the volume of a right circular cone that has a height of …
\( 183.8 \)
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what is area of the large square? pythagorean theorem a = a1 + a2 + a3 …
\((a + b)(a + b) = (a + b)^2\)
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question find the volume of a right circular cone that has a height of …
\( 183.7 \)
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what is length of one side of the large square? pythagorean theorem a =…
\( a + b \) (corresponding to the option with the expression \( a + b \))
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a block of marble is in the shape of a rectangular prism. the block is …
225
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volume of a cone level 1 score:6/15 penalty: 1 off question find the vo…
\( 879.2 \)
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volume of a cone level 1 score:5/15 penalty:1 off question find the vol…
\( 9.0 \)
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enter the formula you would use to find the volume of a rectangular pyr…
\( V = \frac{1}{3}Bh \)
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pythagorean proof what is true about the area of the large square a and…
\(A = A1+A2+A3+A4+A5\) (the second option among the given choices)
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what does the pythagorean theorem say about the side lengths of this tr…
\(a^{2}+b^{2}=c^{2}\) (the option with this formula)
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enter the formula you would use to find the volume of a rectangular pyr…
\(\frac{1}{3}Bh\)
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recall that two angles are complementary if the sum of their measures i…
The smaller angle measures \( \boldsymbol{15}^\circ \)
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volume of a cone level 1 question find the volume of a right circular c…
\( 8.6 \) (rounded to the nearest tenth)
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the rectangle shown has a perimeter of 84 cm and the given area. its le…
The length of the rectangle is \( \boldsymbol{33} \) cm and the width of the rectangle is \( \boldsymbol{9} \) cm.
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volume of a cone level 1 score:5/15 penalty:1 off question find the vol…
\( 146.5 \)
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the volume of a rectangular prism is 117.8 m³. the prism has a base tha…
10
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write an equation in slope-intercept form of the line shown. an equatio…
\( y=-2x - 6 \)
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volume of a cone level 1 score:5/15 penalty:1 off question find the vol…
146.7
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identify the three-dimensional shape that can be formed from the net. t…
pentagonal prism
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solve the following applications: 1. the perimeter of a rectangle is 86…
The width of the rectangle is 16 feet and the length is 27 feet. ### Problem 2:
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the figure below is a rhombus. find the value of x. 48° x = ?°
\(42\)
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write equations of the horizontal and vertical lines that pass through …
The equation for the horizontal line is \( y = 12 \). The equation for the vertical line is \( x = -3 \).
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volume of a cone level 1 score:6/15 penalty:1 off question find the vol…
\( 859.5 \)
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the figure below is a rhombus. find the value of x. 58° x = ?°
\(32\)
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altitude \\(\\overline{jm}\\) separates the hypotenuse of right triangl…
\( 62.06 \) (or approximately \( 62.05 \) depending on rounding, but likely \( 62.06 \))
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the figure below is a rhombus. find the value of x. 102° x° x = ?°
\(39\)
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do homework - homework 3 in week 1 - profile 1 - microsoft edge https:/…
(The labels are placed on the number line at the positions corresponding to each coordinate: \(0\) at origin, \(2\) at \(+2\), \(-2\) at \(-2\), \(-5.5\) at \(-2\frac{7}{2}\), \(-…
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solve the inequality. -9y < 24 solution: graph the solution.
The solution to the inequality is \(y > -\frac{8}{3}\) (or \(y > -2\frac{2}{3}\)). For the graph, use the open - circle (hollow dot) pointing to the right (the "o→" icon) placed a…
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15. 7x - 11 4x - 2 20 35
\(x = 3\)
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solve for b. 68.5° 49.5° b b = ?°
\(59\)
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which equation best matches the graph shown below? answer \\( y = -5(x …
\( y = -5(x - 6)^2 - 4 \)
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q1. area by two radii with general angles points a and b lie on the uni…
A. \(\frac{1}{2}\sin100^{\circ}\)
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13. 32 2x + 6 60 52.5
$x = 11$
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find the volume of the rectangular prism. the volume of the rectangular…
297
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solve the inequality. -9y < 24 solution: graph the solution.
The solution to the inequality \(-9y < 24\) is \(y > -\frac{8}{3}\) (or \(y > -2\frac{2}{3}\)). For the graph, use an open circle at \(-\frac{8}{3}\) (or approximately \(-2.67\)) …
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#2 solve the inequality. -9y < 24 solution: graph the solution.
The solution to the inequality \(-9y < 24\) is \(y > -\frac{8}{3}\) (or \(y > -2\frac{2}{3}\)). For the graph, use an open circle at \(-\frac{8}{3}\) (near \(-2.67\)) and an arrow…
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#2 listen solve the inequality. -9y < 24 solution: graph the solution. …
The solution to the inequality \(-9y < 24\) is \(y > -\frac{8}{3}\) (or \(y > -2\frac{2}{3}\)). For the graph, use the open - circle arrow pointing to the right (the \(\circ ighta…
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assuming all parabolas are of the form $y = ax^2 + bx + c$, drag and dr…
- \(a = 0.25\): The first graph (opening upward) - \(a=-4\): The second graph (narrower downward opening) - \(a = - 1\): The third graph (wider downward opening)
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solve for b. b = ?°
\(44\)
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question 1 the height of a cylinder is 9.5 centimeters. the diameter of…
B. \( 287\pi \text{ cm}^3 \)
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the center of a circle is at the origin on a coordinate grid. the verte…
The circle has a radius less than 9. (The option corresponding to this statement, assuming the options are labeled as: The option with "The circle has a radius less than 9" as its…
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what is the length of side a? triangle image with hypotenuse 15, base 9…
12
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a ski jump ramp has a base of 12 feet, and a height of 5 feet, as shown…
The length of the ramp is 13 feet.
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what is the length of side a? image of a right triangle with legs a and…
The length of side \(a\) is \(\sqrt{7}\) (or approximately \(2.65\)).
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if \\( \\overline{tu} \\cong \\overline{uv} \\) and \\( sv = 35 \\), wh…
\( 70 \)
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what is the length of side x? 13 5 x select the best answer
12
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what is the length of side x? image of a right triangle with one leg 3,…
The length of side \(x\) is \(5\).
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what is the area of this triangle? 10 8 ? 6
24
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ms. lopez draws two cylinders on the whiteboard. the first cylinder has…
7
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level 3/4 4. how much material is required to make a pipe that is 300 c…
The volume of material required is \( 2925\pi \, \text{cm}^3 \) (or approximately \( 9184.5 \, \text{cm}^3 \)).