几何
三角形、圆、解析几何与证明题。
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given m || n, find the value of x.
57
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what is the value of f? 30° f
150
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what is the volume of this sphere? round your answer to the nearest hun…
$1493.53$
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in the figure shown, the measures of all angles are equal, and ab = ef.…
A. 60, 60, 60
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which angles are complementary to each other? ∠2 and ∠6 ∠2 and ∠4 ∠5 an…
∠2 and ∠6
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which angle is supplementary to ∠3?
∠2
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what is an angle that is supplementary to ∠4?
∠1, ∠3
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which angle is complementary to ∠4?
$\angle3$
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which point has coordinates $(-3\\frac{1}{2},4\\frac{1}{2})$?
B
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the midpoint of $overline{gh}$ is $m(4.05, 0.45)$. one endpoint is $g(0…
$(7.8,-9.7)$
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find the perimeter of the figure below. notice that one side length is …
64 yd
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add or remove commas, if necessary, until the sentence has correct punc…
Stuart the Minion loves playing the triangle in our school's marching band.
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solve the inequality for x and identify the graph of its solution. |x +…
B. Solution: \(x>-3\) and \(x<1\) (Graph: A number line with open - circles at \(x=-3\) and \(x = 1\) and the line segment between them shaded)
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the point q is plotted on the coordinate grid below. plot the point q, …
Plot the point with coordinates $(x_0,-y_0)$ where $(x_0,y_0)$ are the coordinates of point $Q$.
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translate point b using (x - 6, y + 1). enter the new coordinates. b = …
$(-1,3)$
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given right triangle gyk, what is the value of tan(g)? o $\frac{1}{2}$ …
$\sqrt{3}$
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question 9 (multiple choice worth 1 points) (01.06r lc) what is a requi…
C. Adjacent angles must share a vertex.
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which number line represents the solution set for the inequality -4(x +…
The number line with a closed - circle at $-5$ and an arrow pointing to the right (the first option in the image where the blue line starts at $-5$ and goes to the right) represen…
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determining missing components of right triangles. use the information …
$m\angle G = 51^{\circ}$ $HI\approx18.9$ $GH\approx23.3$
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find the distance between the points (7, 5) and (7, - 3). distance:
8
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here is quadrilateral abcd. quadrilateral pqrs is a scaled copy of quad…
3 units
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name the figure below in two different ways.
\(\overline{KW}\), \(\overline{WK}\)
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for the figure shown, find m∠1 and m∠2. (the figure is not drawn to sca…
$m\angle1 = 113^{\circ}$
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question 5 of 10 based only on the information given in the diagram, it…
A. True
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question 1 of 10 what is the value of h in the figure below? in this di…
D. $\sqrt{80}$
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question 9 of 10 what is the value of x in the figure below? in this di…
E. $\sqrt{45}$
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question 3 of 10. based only on the given information, it is guaranteed…
A. True
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challenge: holly wants to make a frame for a painting. the painting is …
$81$
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which pairs of figures below are congruent? congruent? yes no yes no co…
Third - pair: Yes First - pair: No Second - pair: No Fourth - pair: No
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angle psr measures 99°. what is the measure of ∠psq in degrees? (3x + 1…
C. $45^{\circ}$
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in the figure below, points m, p, h, j, and k lie in plane z. points l …
(a) False (since $N$ is not in plane $Z$ and $M, P$ are in plane $Z$, they are not collinear) (b) $J$, $K$, $P$ (c) $\overleftrightarrow{ML}$ (d) $MHK$
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in the figure below, points m, p, h, j, and k lie in plane z. points l …
(a) \(N\), \(M\), \(P\) (b) \(H\), \(J\), \(K\) (c) \(\overrightarrow{HK}\) (d) \(MHK\)
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{3}{2}$
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the point q is plotted on the coordinate grid below. plot the point q, …
Plot a point with the same $x$-coordinate as $Q$ and the $y$-coordinate that is the negative of the $y$-coordinate of $Q$.
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question 4 (multiple choice worth 1 points) (03.05r mc) if △efg ~ △lmn …
$\frac{\overline{EF}}{\overline{LM}}=\frac{\overline{FG}}{\overline{MN}}$ (the option with $\frac{EF}{LM}=\frac{FG}{MN}$)
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triangle cde is similar to triangle fgh. find the measure of side fg. r…
For the first pair, the length of $FG$ is approximately $76.0$. For the second pair, the length of $PQ$ is $22$.
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write a two - column proof for the following. given: m∠2 = 30, m∠1 = 2m…
The proof is completed as shown above to prove \(m\angle3 + m\angle4 = 90\).
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a picture of a square floor tile is shown. the diagonal of the tile mea…
B. $72$ in$^{2}$
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what are the corresponding parts of the figures below? select all that …
$\overline{KM}\cong\overline{QO}$, $\angle N\cong\angle O$, $\angle L\cong\angle P$, $\overline{LK}\cong\overline{OP}$
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find the measure of the missing angle.
$39^{\circ}$
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in the figure below, b lies between a and c. find the location of b so …
\(-12\)
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given m||n, find the value of x. answer attempt 1 out of 2 x =
\(x = 26\)
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now write the slope of the line of reflection and any dotted line. slop…
Slope of one of the dotted lines: $\frac{1}{2}$ Slope of the line of reflection: $\frac{1}{2}$
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which angle number represents the linear pair of ∠psl? answer attempt 1…
5
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given m||n, find the value of x. answer attempt 1 out of 5 x =
\(170\)
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plot the ordered pair (1,2). state in which quadrant or on which axis t…
O I
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suppose that point p is on a circle with radius r, and ray op is rotati…
(a) $4\pi$ radians (b) $32\pi$ inches (c) $\frac{8\pi}{3}$ inches per minute
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which two triangles are congruent? complete the congruence statement.
$\triangle BCD\cong\triangle XYZ$
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which rule explains why these triangles are congruent? aas asa sss sas …
SAS
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look at this diagram: if $overleftrightarrow{jl}$ and $overleftrightarr…
$110^{\circ}$
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point c is located at (3, 2) on the coordinate plane. point c is reflec…
$(-3,-2)$
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which angle number represents an angle vertical to ∠fhc? answer attempt…
6
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name the plane that is highlighted in the diagram below. answer attempt…
Plane MNS (Other valid answers using three non - collinear points on the plane like Plane NOS, Plane QTS etc. are also acceptable)
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find the surface area and volume of the solid. round each measure to th…
Volume: $9.6$ $cm^{3}$ Surface - area: $34.9$ $cm^{2}$
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the formula $s = sqrt{\frac{sa}{6}}$ gives the length of the side, s, o…
B. \(2\sqrt{2}\) in.
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which angle number represents an angle adjacent to ∠mrj?
3
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these figures are congruent. what is ∠r?
$34^{\circ}$
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given (lparallel mparallel n), find the value of (x).
\(50\)
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the figure below has rotational symmetry. ° is the smallest possible ro…
72
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read this excerpt from the world on turtles back. the birds of the sea …
felt compassion for the woman because she was scared.
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graph the compound inequality. 1 < x ≤ 5 plot the endpoints. select an …
On the given number - line, place an open circle at $x = 1$ and a closed circle at $x = 5$, and draw a line segment between them.
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how does a bee get to school? circle the letter of each correct answer …
1. \(g(4)=-3\) 2. \(f(-4)=8\) 3. \(k(-12)=-2\) 4. \(r(-\frac{1}{6})=\frac{17}{4}\) 5. \(y(24)=-6\) 6. \(d(10)=-0.5\) 7. \(w(\frac{1}{2})=5\) 8. \(p(-8)=-21\) 9. \(x=-7\) 10. \(x=-…
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these figures are congruent. what is m∠x?
$61^{\circ}$
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2 what is the definition of congruence? a if two figures have the same …
C. If there is a sequence of rotations, reflections, and translations that take one figure to another, then they are congruent. For the second part about drawing \(D'\): 1. First,…
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here are 4 triangles that have each been transformed by a different tra…
D
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find the distance d(p1, p2) between the points p1 and p2. p1=(3, - 3); …
$\sqrt{37}$
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in the figure, point p moves at a constant rate along the unit circle. …
$2\pi$
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8. find the area of this shape. show your reasoning.
30
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drag and drop the terms to the correct places to complete the sentence.…
In geometry, a translation is a type of transformation that moves every point of a figure the same distance and in the same direction. When a figure undergoes a translation, it re…
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exercise #4: it is given that ∠a and ∠b are complementary. if the measu…
The measure of $\angle A$ is $25^{\circ}$ and the measure of $\angle B$ is $65^{\circ}$.
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question 14 of 23 what is the slope of the line shown below? (3, -2) (2…
A. 2
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directions: give each trig ratio as a fraction in simplest form. 1. dir…
\(\sin D=\frac{20}{29}\), \(\cos D=\frac{21}{29}\), \(\tan D=\frac{20}{21}\), \(\sin E=\frac{21}{29}\), \(\cos E=\frac{20}{29}\), \(\tan E=\frac{21}{20}\) \(x\approx47.0\) (for pr…
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value of x. 73° 128° x =
\(x = 55^{\circ}\)
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for each of the following quadrilaterals, select all the properties tha…
(a) All sides congruent, Two pairs of parallel sides (b) Two pairs of parallel sides (c) Four right angles, All sides congruent, Two pairs of parallel sides
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for problems 15 & 16, circle the graph that best represents the given f…
15. The graph of \(f(x)=x^{2}-2\) is a parabola opening upwards with vertex at \((0,-2)\), so it should match the graph that has a U - shape and crosses the y - axis at \(-2\). 16…
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for each of the following quadrilaterals, select all the properties tha…
(a) Two pairs of parallel sides (b) Only one pair of parallel sides (c) Two pairs of parallel sides, Four right angles
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give a pair of alternate exterior angles, a pair of alternate interior …
(a) Alternate exterior angles: $\angle2$ and $\angle7$ (b) Alternate interior angles: $\angle4$ and $\angle5$ (c) Corresponding angles: $\angle1$ and $\angle5$
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give a pair of alternate - exterior angles, a pair of corresponding ang…
(a) Alternate exterior angles: \(\angle1\) and \(\angle8\) (b) Corresponding angles: \(\angle1\) and \(\angle5\) (c) Alternate interior angles: \(\angle3\) and \(\angle6\)
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1. rectangle defg with vertices d(-2, 7), e(2, 3), f(0, 1), and g(-4, 5…
1. Rectangle \(DEFG\): - After translation: \(D'(4,-1)\), \(E'(8,-5)\), \(F'(6,-7)\), \(G'(2,-3)\) - After reflection in \(y\) - axis: \(D''(-4,-1)\), \(E''(-8,-5)\), \(F''(-6,-7)…
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a narrow rectangular mural is 2 feet wide. it is 7 times as long as it …
The perimeter of the mural is 32 feet. The area of the mural is 28 square feet.
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△abc is the image of △abc under a translation. determine the translatio…
A translation by 7 units to the left and 5 units up.
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find the value of x.
\(149\)
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are these triangles similar? yes no
no
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in the figure below, l || m. find x.
96
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question use the line tool to graph the line passing through (2, 2) who…
Graph a line passing through the points $(2,2)$ and $(6,-3)$ on the given coordinate grid.
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in the figure below, l || m. find x. 141° 93° x° x =
\(48\)
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express the perimeter of the rectangle as a single rational expression …
$\frac{4x^{2}+22x}{(x + 6)(x + 5)}$
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a narrow rectangular mural is 5 feet wide. it is 4 times as long as it …
The perimeter of the mural is 50 feet. The area of the mural is 100 square feet.
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which rule explains why these triangles are similar? sss sas aa none of…
C. AA $\triangle STR\sim\triangle KJI$
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try again one of the digits in your answer is wrong. check your work ca…
$x = 134$
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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1 select all the pairs of figures that are scaled copies of each other.…
A. The two trapezoids are scaled - copies of each other.
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find the value of x. 38° 96° x° x =
\(134\)
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are these triangles similar? yes no
yes
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find the length x.
7
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find the length x.
$7$
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6. en te servant de la carte ci - dessous, nomme deux pays deurope où s…
6. A. Allemagne, B. Suisse 7. Pour la légitimité divine, maintenir l'unité sociale - religieuse et utiliser ses ressources. 8. Le roi d'Angleterre 9. Pour obtenir un divorce et co…
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the vertices of δghj are g(-2, -3), h(-2,5), and j(4,5). if δklm≅δghj, …
First, find the lengths of the sides of \(\triangle GHJ\) using the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For \(GH\) with \(G(-2,-3)\) and \(H(-2,5)\): \[ \…
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in the figure below, f is between e and g, and g is between f and h. if…
$18$
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question graph the line passing through the point (-1, -3) whose slope …
The line is graphed by first using the point - slope form to get the slope - intercept form $y = 4x+1$, identifying the y - intercept $(0,1)$, using the slope to find additional p…