幾何
三角形、圓、解析幾何與證明題。
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find the following measure for this figure. (image of a pyramid with he…
B. 400 cubic units
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find the following measure for this figure. lateral area = 5√(47) π squ…
55 π square units
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the base of a solid oblique pyramid is an equilateral triangle with a b…
$9\sqrt{3}$ in.
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all parallelograms have 4 right angles. all rhombuses have 2 pairs of p…
The second option (All rhombuses have 2 pairs of parallel sides)
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find the following measure for this figure. lateral area = 6√(142) π sq…
B. $6\sqrt{157}\pi$ square units
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an oblique prism is created using rhombuses with edge lengths of 25 uni…
14,400 cubic units
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determine if the two figures below are congruent. use the drop-down men…
The two figures are congruent because only rigid motions are used to map Figure 1 onto Figure 2. Side corresponding to side $\overline{VU}$: $\overline{KH}$
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find the following measure for this figure. image of a rectangular pris…
A. 8 square units
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a right square prism has a volume of 360 cubic units. which could be th…
3 by 3 by 40, 2.5 by 12 by 12, 3.6 by 10 by 10
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click the buttons to match the english words with their spanish transla…
- "the helmet" → "el casco" (click the circle in the row of "the helmet" and column of "el casco") - "the glove" → "el guante" (click the circle in the row of "the glove" and colu…
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the right pentagonal prism has a height of of 14 units. the volume of t…
30 units
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the diagram shows a cube of side length 3 inches. the points p, q, and …
Pentagon
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the volume of the triangular prism is 54 cubic units. what is the value…
3
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in the diagram, the measure of ∠1 is 55°. if line y is rotated 5° clock…
\( 48^\circ \)
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an oblique cylinder has a radius of 9 centimeters and a volume of 486π …
B. 6 meters
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find the following measure for this figure. area of the base = 16 π squ…
16 π square units
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the oblique prism below has an isosceles right triangle base. what expr…
\(\frac{1}{2}x^{3}+\frac{3}{2}x^{2}\) (the second option)
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on a map, 0.25 inches represents 1 mile. what is the area of a rectangl…
A. 135 square miles
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two rigid transformations are used to map δhjk to δlmn. the first is a …
D. a rotation about point K
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a right prism with rhombus bases is shown. the side length of each rhom…
384 cubic units
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digging deeper 5. determine the height above the ground, ( h ), of juli…
\(7.9m\)
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a pyramid has a square base with sides 8\ and a slant height of 5\. tot…
B. 144 square units
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a right triangular prism is constructed so that its height is equal to …
\(\frac{1}{2}x^{3}\)
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triangles rqs and ntv have the following characteristics: • right angle…
C. No, it is necessary to know that another set of corresponding sides is congruent.
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the proof that δefg ≅ δjhg is shown. what is the missing statement in t…
A. $\angle FEG \cong \angle HJG$
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an oblique prism has a base area of 3x² square units. what expression r…
\(39x^{2}\) (the fourth option)
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a cylinder has a volume of 245π cubic units and a height of 5 units. th…
14 units
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what is the correct meaning of the word gradient? if the gradient of th…
slope
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find the following measure for this figure. (image of a cone with heigh…
91 2/3 π cubic units
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find the following measure for this figure. slant height = 2√(11) units…
13 units
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find the following measure for this figure. image of a rectangular pris…
A. 24 cubic units
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the team also wants to look at how much money they will make by selling…
### Part b: The first differences are all \( 10.00 \) dollars. The slope triangles on the graph will have a vertical length of \( 10 \) (the first difference) and a horizontal len…
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how can $\\triangle wxy$ be mapped to $\\triangle mnq$? translate verte…
B. $\overline{WY}$
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in the diagram, $overline{kl} cong overline{nr}$ and $overline{jl} cong…
$\angle L \cong \angle R$ (Option: $\angle L \cong \angle R$)
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question 2-16 a garden is composed of a rectangle and semicircles on ea…
s: 1. The garden has an area over 150 square feet: False 2. The homeowner will need to purchase 12 whole bags of mulch to cover the garden. 3. The homeowner can cover the garden i…
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independent practice: structure directions: complete the vocabulary act…
1. c. yearns, d. desires 2. b. similarities, c. likeness 3. b. encourages positive growth 4. c. drinking enough water 5. False
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which rigid transformation would map δaqr to δakp? ○ a rotation about p…
a rotation about point A
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an oblique candle with a volume of 270 cubic centimeters is 18 centimet…
5 cm by 6 cm by 18 cm
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a carpenter designs two cabinets: one in the shape of an oblique rectan…
- The cabinets have the same base area. - The cabinets may have the same base dimensions. - The cabinets may have different base dimensions.
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solving real - world volume problems a type of cracker, rectangular in …
\(\frac{1}{8}\text{ inch}\)
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problem 3 in the diagram shown, x represents the weight of each triangl…
\(2x + 12 = 4x + 6\)
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in the right triangular prism below, \\( \\overline{bg} \\perp \\overli…
\(12\)
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the magnitude and direction of two vectors are shown in the diagram. wh…
\(2\sqrt{5}\)
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find the area of the following shape. you must show all work to receive…
$12$
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find the value of x in this triangle. which of the following is the cor…
111
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a triangle has two angles that measure $37^{circ}$ and $25^{circ}$. lew…
Leah is correct. The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
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a point q on a segment with endpoints a (2, -1) and c (4, 2) partitions…
The coordinates of point \(Q\) are \((3.6,1.4)\)
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solve for x in the triangle. explain your reasoning. 27° x° x° which of…
The sum of the measures of the interior angles of a triangle is \(180^{\circ}\). This means that \(x^{\circ}+x^{\circ}+27^{\circ} = 180^{\circ}\)
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score: 2/3 penalty: none find coterminal, reference, and quadrant quest…
The coterminal angle is \(308^{\circ}\), which lies in Quadrant IV, with a reference angle of \(52^{\circ}\)
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find the area and perimeter of the rectangle with vertices (1, 7), (-3,…
Area: 36, Perimeter: 26
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question for the rotation $-918^{circ}$, find the coterminal angle from…
The coterminal angle is \(162^{\circ}\), which lies in Quadrant II, with a reference angle of \(18^{\circ}\).
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find the value of x. (an isosceles triangle with two equal sides marked…
\(26\)
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determining missing the figure below is an oblique triangular prism. th…
\(a = 1\), \(b = 4\), \(c = 3\)
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find the perimeter and area of the rectangle with vertices (-3, 0), (-3…
Perimeter: 18, Area: 20
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find the value of x. (there is a triangle with angles 52°, 73°, and x°)…
\(x = 55\)
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find the area and perimeter of the rectangle with vertices (5, -1), (5,…
Area: 32 square units Perimeter: 24 units
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find the value of x. (there is a triangle with an exterior angle of 145…
\(x = 115\)
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find an angle in each quadrant with a common reference angle with 18°, …
Quadrant I: \(18^{\circ}\) Quadrant II: \(162^{\circ}\) Quadrant III: \(198^{\circ}\) Quadrant IV: \(342^{\circ}\)
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find the value of x. enter the correct number in the box. show hints x …
\(55\)
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this model shows a unit square divided into smaller same - size tiles. …
Each small tile has side lengths \(\frac{1}{6}\) units and \(\frac{1}{5}\) units. The area of each small tile is \(\frac{1}{30}\) square units. The area of the shaded rectangle is…
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find the distance between the points (3, -7) and (6, -7). distance:
3
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find an angle in each quadrant with a common reference angle with 337°,…
Quadrant I: \(23^{\circ}\) Quadrant II: \(157^{\circ}\) Quadrant III: \(203^{\circ}\) Quadrant IV: \(337^{\circ}\)
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find the value of x. (there is a triangle with a 65° angle and two equa…
\(x = 57.5\)
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the base area of an oblique pentagonal prism is 15 sq. in. the prism me…
The volume of the prism is computed using the expression \((15)(3)\); The unit on the volume measure of the prism is cubic inches.
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question 1 (essay worth 10 points) (mc) triangle abc has vertices locat…
- Part A: \(AB=\sqrt{13}\), \(BC=\sqrt{13}\), \(AC=\sqrt{26}\) - Part B: Slope of \(AB=\frac{3}{2}\), slope of \(BC=-\frac{2}{3}\), slope of \(AC=-5\) - Part C: The triangle is an…
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find the distance between the points (-4, -5) and (3, -5). distance:
7
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in the oblique triangular prism below, ch = (x + 1) cm, eg = x cm, af =…
\(\overline{CH}\) is the height of the prism. The formula for finding the volume of the prism does not include \(AF\).
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36. performance task teo designed a skateboard ramp. ramp a has a right…
- Part A: \(NP<MP<MN\) - Part B: \(\angle R<\angle O<\angle QSR\) (because in right - triangle \(QSR\), using angle - sum property and trigonometric relations as shown above) - Pa…
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3. solve the following triangles. if needed, round your answers to one …
Angle \( B = 50^{\circ}\), \( c\approx32.6\) cm, \( b\approx21.0\) cm
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the number of diagonals in a polygon, d, in terms of the number of side…
D. \(n=\sqrt{2d+\frac{9}{4}}+\frac{3}{2}\)
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find the distance between point a and point b. try one last time distan…
4
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35. sat/act look at △rst. which statement is false? ⓐ ts = tr ⓑ m∠str <…
D. \(TS < SR\)
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find the distance between point g and point h.
6
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carla and jonah are working together to determine if quadrilateral cdef…
Jonah is on the right track because he is finding the slopes of the opposite sides to check for parallel sides.
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assessment practice 34. the lengths of two sides of a triangle are 13 a…
\(7\lt x\lt33\)
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question 2-9 which sequence of transformations maps δabc onto δdef? ima…
The correct option is: rotate 180° about the origin, then translate 2 units left (the fourth option in the list: "rotate 180° about the origin, then translate 2 units left")
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question 8 (multiple choice worth 4 points) (04 03r lc) what is the are…
4 square units
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find \\(\\cot\\theta\\), \\(\\cos\\theta\\), and \\(\\sec\\theta\\), wh…
\(\cot\theta = \frac{8}{15}\), \(\cos\theta = \frac{8}{17}\), \(\sec\theta = \frac{17}{8}\)
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33. analyze and persevere a dog running an agility course has difficult…
Corner \(A\) is most difficult for her to turn.
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find \\(\tan\\theta\\), \\(csc\\theta\\), and \\(cos\\theta\\), where \…
\(\tan\theta=\boldsymbol{\frac{5\sqrt{11}}{11}}\), \(\csc\theta=\boldsymbol{\frac{6}{5}}\), \(\cos\theta=\boldsymbol{\frac{\sqrt{11}}{6}}\)
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randolph is creating rectangle wxyz so that wx has an equation of $y = …
\(y - 6=-4(x-(-2))\) (the third option)
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a drone flying at a constant speed of 11 m/s is currently located direc…
\( 163.9 \) (rounded to nearest tenth)
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a plane is ascending at an angle of 9° from the horizontal. the plane’s…
10.9
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a cyclist is riding on a mountain trail. her current elevation is 1.6 k…
1.4
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32. use patterns and structure a stage manager must use tape to outline…
\( SR>QR>SQ \)
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find \\(\\tan\\theta\\), where \\(\\theta\\) is the angle shown. give a…
\(\frac{12}{5}\)
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question 1 (multiple choice worth 4 points) (04.03r mc) find the perime…
21.4
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find \\(\\sin\\theta\\), where \\(\\theta\\) is the angle shown. give a…
\( \frac{15}{17} \)
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in which circle does ( mangle b = 30^circ )? select all that apply.
The third circle (with \(\angle AOC = 60^\circ\)) and the fourth circle (with the \(60^\circ\) central angle) (assuming the third circle is the one in the middle - lower and the f…
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triangle fgh is similar to triangle klm. some of the side lengths of th…
14
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on a regional map, four cities and a library are shown with the roads t…
The distance from city \( C \) to city \( B \) is the same as the distance from city \( A \) to city \( D \) (the third option)
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8 solve the inequality and graph the solution. -6(1 + 4x) < -30
The solution to the inequality \(-6(1 + 4x)<-30\) is \(x>1\). For the graph, it would be an open circle at \(x = 1\) on the number line and an arrow pointing to the right (towards…
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31. apply math models a jewelry designer plans to make a triangular pen…
The possible range of costs for the wire is \(\$664.65\lt C\lt\$822.9\)
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7 solve the inequality and graph the solution. 10x - 15 > -5
The solution to the inequality \( 10x - 15 > -5 \) is \( x > 1 \). The graph has an open circle at \( 1 \) and shading to the right.
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triangle fgh is shown. what is the measure, in degrees, of angle gfh?
70
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a rectangular mat has a perimeter of 52 inches. drag numbers to the lin…
\(-1\), \(26\), \(0\)
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a rectangular mat has a perimeter of 52 inches. drag numbers to the lin…
\(-1\), \(26\), \(0\)
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in a circle, the length of an arc intercepted by a central angle is 12 …
\(1.5\)
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quadrilateral abcd is dilated to create quadrilateral abcd, as shown. w…
\( \frac{3}{4} \) (or 0.75)
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there is a clock face with numbers 1 - 12, a green hour hand, a red min…
3:45