幾何
三角形、圓、解析幾何與證明題。
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find the perimeter of the polygon with the vertices q(-3, 2), r(1, 2), …
16
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the equation, with a restriction on x, is the terminal side of an angle…
\(\frac{\sqrt{5}}{2}\)
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the equation, with a restriction on x, is the terminal side of an angle…
\(\tan\theta=-2\) (So the correct choice is A with \(\tan\theta=-2\))
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find the distance between the two points rounding to the nearest tenth …
\( 2.8 \)
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find the distance between the two points rounding to the nearest tenth …
\(9.4\)
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the equation, with a restriction on x, is the terminal side of an angle…
\(-\frac{\sqrt{5}}{5}\)
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the equation, with a restriction on x, is the terminal side of an angle…
A. \(\sin\theta=\frac{2\sqrt{5}}{5}\)
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41. finding complements in the table, assume that ∠1 and ∠2 are complem…
The completed \(m\angle2\) values (from left to right) are: \(88^\circ\), \(80^\circ\), \(65^\circ\), \(57^\circ\), \(50^\circ\), \(41^\circ\), \(35^\circ\), \(28^\circ\), \(14^\c…
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find the distance between the two points rounding to the nearest tenth …
\( 10.8 \)
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more information (partial text from image; no explicit question text)
Domain: \(\boldsymbol{[1, 5]}\), Range: \(\boldsymbol{[-5, 2]}\)
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find the distance between the two points rounding to the nearest tenth …
\(8.5\)
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suppose that the point (x, y) is in the indicated quadrant. decide whet…
Negative
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suppose that the point (x, y) is in the indicated quadrant. decide whet…
Positive
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find the distance between the two points in simplest radical form.
\( 2\sqrt{5} \)
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find the distance between the two points in simplest radical form.
\( 3\sqrt{2} \)
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find the distance between the two points in simplest radical form.
\(2\sqrt{5}\)
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error analysis describe the error in finding the distance between a(6, …
Did not find differences of the \(x\)-values and of the \(y\)-values ### Part 2: Calculating the Actual Length
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error analysis describe the error in finding the distance between a(6, …
Did not find differences of the \(x\) - values and of the \(y\) - values.
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a regular octagon is shown below. suppose that the octagon is rotated c…
135
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sketch an angle θ in standard position such that θ has the least possib…
\(-\frac{5}{3}\)
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1 ft 14 in 18 in surface area = _____________ 10.3 ft 7.1 ft 8.5 ft sur…
First prism surface area: \( 1272 \) square inches Second prism surface area: \( 442.06 \) square feet
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22. the sum of the lengths of any two sides of a triangle must be great…
Anna's error is that she only considered the lower bound (\(x > 5\)) from the triangle inequality theorem but ignored the upper bound (\(x<17\)). The correct range for \(x\) is \(…
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6) diagram: circle with a triangle (base as diameter) and radius 4 ft. …
\( 16\pi - 16\approx34.24 \) square feet (or exact form \( 16(\pi - 1) \)) ### Problem 7:
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calculate the surface area of each prism. show all y nearest tenth.
The surface area of the triangular prism is \(\boxed{544}\) square inches.
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22. the sum of the lengths of any two sides of a triangle must be great…
Anna forgot to consider the upper bound from the triangle inequality \(6 + 11>x\) (i.e., \(x<17\)). So \(x\) must be greater than 5 AND less than 17, not just greater than 5. ### …
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a regular octagon is shown below. suppose that the octagon is rotated c…
\(135\)
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error analysis describe the error in finding the distance between a(6, …
Did not take the square root ### Part 2: Calculating the Actual Length
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assume that all intersecting sides meet at right angles. include the co…
10 yards
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find the distance between the points t(13, 1.6) and v(5.4, 3.7). answer…
\(\sqrt{62.17}\) (or \(\frac{\sqrt{6217}}{10}\))
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find the distance between the two points in simplest radical form.
\(4\sqrt{2}\)
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b = 4.7 in triangle: h = 7.2, b = 6.8 a = bh = (7.2)×(6.8) = 48.96 unit…
(Triangle Area): \( 24.48 \) (units, assuming the original units for \( b \) and \( h \) are consistent, like units²)
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find the distance between the two points in simplest radical form. (-9,…
\( 15 \)
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error analysis describe the error in finding the distance between a(6, …
Did not take the square root. ### Part 2: Calculating the Actual Length
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the distance between the points l(7, -1) and m(-2, 4). answer in simple…
\(\sqrt{106}\)
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find the distance between the points g(-5, 4) and h(2, 6). answer in si…
\(\sqrt{53}\)
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find the perimeter of the rectangle. include the unit. 14 cm 27 cm
\( 82 \, \text{centimeters} \) (or \( 82 \, \text{cm} \))
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use the diagram below to place each of the described points on the numb…
\(\frac{1}{3}\) of the distance from \(P\) to \(N\) is at \(16\); \(\frac{3}{4}\) of the distance from \(R\) to \(P\) is at \(-6\)
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find the distance between the points c(-6, 5) and d(-3, 1). the distanc…
5
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find the perimeter of the square. include the unit. 23 m
\( 92 \, \text{meters} \) (or \( 92 \, \text{m} \))
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find the perimeter of the rectangle. include the unit. 21 yd 27 yd
96 yd
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use the diagram shown to the right to find the unknown lengths of sides…
43
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please find the measure of the missing angles. draw a picture to help o…
\( m\angle B = 28^\circ \), \( m\angle C = 62^\circ \) ### Problem 17
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5. dilate hexagon qrstuv center of dilation: point v scale factor: 2 q:…
\(Q': \boldsymbol{(-2, 3)}\) \(R': \boldsymbol{(2, 5)}\) \(S': \boldsymbol{(6, 5)}\) \(T': \boldsymbol{(8, 3)}\) \(U': \boldsymbol{(6, -3)}\) \(V': \boldsymbol{(2, -3)}\)
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geometric figure with dimensions 10 ft, 18 ft, 8 ft (appears to be a co…
The area of the shaded region is 140 square feet.
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what combination of transformations is shown below? image of grid with …
D. translation, then rotation (assuming the last option is labeled D; if labels differ, match the option text "translation, then rotation")
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what combination of transformations is shown below? translation, then r…
reflection, then translation
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drake is going to lay grass in a backyard with an area of 440 ft². if t…
a. 17.6 ft
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6. dilate trapezoid wxyz center of dilation: point z scale factor: 1/2 …
\( W':(2,4) \) \( X':(3,4) \) \( Y':(5,2) \) \( Z':(1,2) \)
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what combination of transformations is shown below? reflection, then tr…
D. translation, then rotation (assuming the options are labeled A - D as per the order: reflection, then translation; reflection, then rotation; translation, then reflection; tran…
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a piece of land is to be fenced and subdivided as shown so that each re…
\( 20x + 28 \)
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all the points from the table to the coordinate grid. | point | coordin…
To solve the problem of graphing the points on the coordinate plane, we follow these steps: ### Step 1: Understand the Coordinate System A coordinate plane has an x - axis (horizo…
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prompt: you have just read \the white umbrella\ by gish jen. how does t…
**The narrator’s desire for belonging influences her behavior by driving her to conform and hide her true identity.** For example, she fixates on the white umbrella, longing to ha…
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identify the segment bisector of ( xy ). diagram: segment ( xy ) with m…
The segment bisector of \( XY \) is line \( n \), and the length of \( \overline{XY} \) is \( 6 \). (For the bisector part, the correct option is line \( n \); for the length, it'…
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a piece of land is to be fenced and subdivided as shown so that each re…
# Explanation: ## Step1: Analyze vertical fences There are 4 vertical fences, each with length \( x \). So total length for vertical fences: \( 4\times x = 4x \) ## Step2: Analyze…
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4 which ordered pair represents the result of reflecting point d over t…
B. \((6,6)\)
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6. plot all the points from the table in the coordinate plane | point |…
The points are plotted as follows: Point \( A(3,5) \), Point \( B(0,2) \), Point \( C(3,7) \), and Point \( D(6,0) \) on the coordinate plane. (The actual plotting is done by loca…
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identify the segment bisector of (overline{xy}). diagram: point x, m, y…
line \( n \)
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comparing geometric probabilities tara is playing a party game in which…
likely (the option labeled "x likely" which is intended to represent "likely")
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4. dilate triangle lmn center of dilation: (0, 0) scale factor: (\frac{…
\( L'(-9,0) \), \( M'(0, - 6) \), \( N'(-6, - 3) \)
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identify the segment bisector of (overline{xy}). diagram: x---(3x + 1)-…
The segment bisector of \( \overline{XY} \) is \( \overline{MN} \), and the length of \( \overline{XY} \) is \( 32 \).
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here are the endpoints of the segments \\(\\overline{jk}\\), \\(\\overl…
(Part a): \(JK = \boldsymbol{\sqrt{29}}\) \(MN = \boldsymbol{\sqrt{26}}\) \(PQ = \boldsymbol{\sqrt{37}}\)
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here are the endpoints of the segments jk, mn, and pq. j(-2, 1), k(3, 4…
### Part (a) To find the length of a segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), we use the distance formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) #### For s…
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identify the image of δxyz for a composition of two 45° rotations about…
B. La figura donde \( X = X' \) y los puntos \( Y \) y \( Z \) se han rotado \( 90^\circ \) alrededor de \( X \) (debido a la composición de dos rotaciones de \( 45^\circ \))
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calculate the distance between the points f = (1, -1) and b = (9, -9) i…
11.31
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comparing geometric probabilities tara is playing a party game in which…
To solve this, we need to calculate the area of the total region and the area of the square/rectangular (blue) regions, then find the probability for each. But first, let's assume…
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calculate the distance between the points l = (-7, 2) and e = (-3, 6) i…
\(4\sqrt{2}\)
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identify the image of δxyz for a composition of two 45° rotations about…
B. La figura donde \( X = X' \) y los puntos \( Y \) y \( Z \) se han rotado \( 90^\circ \) alrededor de \( X \) para formar \( Y' \) y \( Z' \)
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finding area draw the figure in a coordinate plane and find its area. 3…
The area of the square is \( 50 \) square units.
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calculate the distance between the points j = (-1, 4) and e = (2, -1) i…
\(\sqrt{34}\)
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identify the segment bisector of (overline{xy}). diagram: x---m---y, xm…
\(\overline{MN}\) (assuming the third option is \(\overline{MN}\); if options are as given, the correct one is the segment \( MN \) or ray \( MN \) passing through midpoint \( M \…
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which ordered pair... (options: a (-6, 1), b (0,4), c (0, -8), d (5,8))…
### For part 6 (Plotting Points): To plot a point \((x,y)\) on the coordinate plane: - **Step 1: Identify \(x\) and \(y\) for Point A \((3,5)\)** The \(x\)-coordinate is \(3\) (mo…
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1-84 find the perimeter and area of each figure below. be sure to show …
### Part b) - Perimeter # Explanation: ## Step1: Identify all sides The triangle has sides: 14 m, 7 m, 9 m, and 4 m? Wait, no, wait. Wait, the figure is a triangle? Wait, no, look…
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a circle representing a pool is graphed with a center at the origin. gr…
\(y = 4-\frac{x}{2}\) (the option \(y = 4-\frac{x}{2}\))
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find the image of b for a counterclockwise rotation of 240° about its c…
B. point C
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find the image of b for a counterclockwise rotation of 240° about its c…
C. point A
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find the image of b for a counterclockwise rotation of 180° about its c…
B. point D
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identify the segment bisector of (overline{jk}) . diagram: segment ( jk…
line \( l \) For the length of \( \overline{JM} \):
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b) 14 m 7 m 4 m 9 m perimeter:
# Explanation: ## Step1: Identify the sides of the triangle The triangle has sides of lengths 14 m, 9 m (we need to find the base? Wait, no, let's look again. Wait, the figure: th…
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what is the distance between the points shown on the coordinate plane b…
4.1
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8. (4x - 7)° (7x - 61)° l m
\( x = 18 \)
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1-84 find the perimeter and area of each figure below. be sure to show …
Perimeter: $34$ meters ### Area of b):
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for the triangle at right, determine the measures of ∠a and ∠b. once yo…
\( \angle A\approx21.0^{\circ} \), \( \angle B\approx69.0^{\circ} \); The angle sum property of triangles (sum of acute angles in right - triangle is \( 90^{\circ} \)) helps find …
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points j, k, and l are collinear. point k is between j and l, jk = 10z …
\( JK = 28 \), \( KL = 11 \), \( JL = 39 \)
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identify the segment bisector of $overline{rs}$ . diagram with points r…
line \( s \) For the length of \( \overline{RS} \):
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two vertical parallel lines (l and m) are cut by a transversal, forming…
\( x = 26 \)
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current skill $ w •———x •———y (wx labeled 5x + 5, xy labeled 1) a horiz…
20
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1-84 find the perimeter and area of each figure below. be sure to show …
Perimeter: $44.85$ meters Area: $117$ square meters
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1. a square garden has an area of 137 square feet. what is the approxim…
The approximate length of one side of the garden is about \( 11.7 \) feet (or we can also say approximately 12 feet as a rougher approximation, but \( 11.7 \) is more accurate). I…
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6. (12x - 8)° 104° l m
\(x = 7\)
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examples! name the type of angle relationship. if no relationship, writ…
To solve the angle relationship problems, we analyze each pair based on transversal and angle - pair definitions (corresponding, alternate interior/exterior, consecutive interior,…
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finding area draw the figure in a coordinate plane and find its area. 3…
The area of the square is \(\boxed{50}\)
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top front side orthographic problem set #2
The problem involves analyzing orthographic projections (top, front, side views) to understand a 3D geometric shape, falling under Geometry (Mathematics). The 3D shape likely cons…
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which angles are congruent to each other? diagram with angles labeled 6…
$\angle13$ and $\angle7$
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11. (\frac{8}{24}) (\bigcirc) (\frac{20}{60})
$\frac{8}{24}=\frac{20}{60}$ (The symbol in the circle is $=$)
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1-83 a rectangular park is 150 yards on one side and 125 yards on the o…
1100 yards
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if eh = gh = 59 and m∠efh = 60°, what is m∠gfh? diagram: triangle-like …
\( 60 \)
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c.6 angle bisectors what is ps? diagram: s, p, q, r with right angles a…
\( 62 \)
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3.2 slope of a line homework score: 25/27 answered: 25/27 question 26 d…
parallel
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incorrect your answer is incorrect. in the figure below, xy = 8 and wx …
\( 15 \)
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c.6 angle bisectors what is hk? diagram: points i, j, k, h with right a…
\( 12 \)