幾何
三角形、円、座標幾何、証明問題。
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x < 8 \) For the number line: We draw an open circle at 8 (since the inequality is strict, \( x < 8 \) not \( x \leq 8 \)) and shade the region to the left…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x > 3 \) For the number line: We draw an open circle at 3 (since the inequality is strict, \( > \), not \( \geq \)) and shade the region to the right of 3 …
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which value of x would make \\(\\overline{fg} \\parallel \\overline{bc}…
9
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x \leq 8 \) For the number line: We would draw a closed circle at 8 (since the inequality is "less than or equal to") and shade to the left of 8 to represe…
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which transformations could have taken place to map $\\triangle abc$ to…
a rotation and a dilation
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after knitting a blanket, monisha washes and stretches it out to the co…
200 inches
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in the diagram, \\(\\frac{vz}{yz} = \\frac{wz}{xz}\\). to prove that \\…
\(\angle VZW\cong\angle YZX\) (the third option)
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solve the inequality and graph the solution on the line provided. -16 +…
Inequality Notation: \( x < -7 \) For the number line: We draw an open circle at -7 (because the inequality is strict, \( < \), not \( \leq \)) and shade the line to the left of -…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\leq - 3\) For the number line: We plot a closed circle at \(-3\) (because the inequality is "less than or equal to") and draw an arrow to the left of \(-3…
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jeffery is making a wall design with tape. how much tape does he need t…
Jeffery needs 492 inches of tape. The bottom figure is a square (congruent perpendicular diagonals) with side 40, perimeter \( 4 \times 40 = 160 \). The middle two figures are rho…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x > 3 \) For the number line: We draw an open circle at 3 (since the inequality is strict, \( x > 3 \) not \( x \geq 3 \)) and shade the region to the righ…
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which triangle is similar to △jkl? △jkm △kml △ljk △mkl
$\triangle MKL$ (the option labeled $\triangle MKL$)
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which triangle is similar to △jkl? △jkm △kml △ljk △mkl
# Explanation: ## Step1: Recall Similar Triangle Criteria Similar triangles have equal corresponding angles (AA, SAS, SSS similarity). In right triangles, if two right triangles s…
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two similar triangles are shown. △xyz was dilated, then _________, to c…
reflected (the third option, labeled as "reflected")
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rectangle abcd was dilated to create rectangle abcd using point r as th…
5 units
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the convex polygon below has 7 sides. find the value of x. 139° x° 106°…
\( x = 126 \)
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the measure of each interior angle of a regular polygon is 150°. find t…
12
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point p partitions the directed line segment from a to b into the ratio…
P will be closer to A because it will be \( \frac{3}{7} \) the distance from A to B. (The third option among the given choices)
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the measure of each interior angle of a regular polygon is 156°. find t…
15
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what is the location of point g, which partitions the directed line seg…
1
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the measure of each interior angle of a regular polygon is 108°. find t…
5
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ng a directed line segment in the coordinate plane what are the x- and …
\( y = 5.2 \)
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c) if the width or expression for the length of rectangle b? 5. a recta…
The radius of the window is \( x+\frac{1}{2} \) (or \( \frac{2x + 1}{2} \)).
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6 solve for x: quadrilateral wxyz with angles at x: 100°, y: 130°, z: 6…
\(64\)
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5 determine the number of sides for a polygon given the sum of its inte…
number of sides = \( 8 \) type of polygon: octagon
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determine a series of transformations that would map figure e onto figu…
One possible series of transformations is: Reflect Figure E over the y - axis (using the rule \((x,y)\to(-x,y)\)) and then translate the resulting figure 3 units to the right and …
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resuelve para y. dibujar (diagram of a triangle with right angles at r …
\( y = 8 \)
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in the coordinate plane, the directed line segment from k to n has endp…
C. \((5.7, 2.2)\)
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practice with directed line segments what is the location of point f, w…
\(\frac{1}{11}\)
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find eg. write your answer as an integer or as a decimal rounded to the…
\( 5.5 \)
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4. the area of rectangle b is three times the area of rectangle a. prov…
a) The expression for the area of Rectangle A is \(\boldsymbol{8x^{2}+28x}\) square centimeters. b) The expression for the area of Rectangle B is \(\boldsymbol{24x^{2}+84x}\) squa…
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4. the area of rectangle b is three times the area of rectangle a. prov…
s: a) The expression for the area of Rectangle A is \( \boldsymbol{8x^2 + 28x} \) square centimeters. b) The expression for the area of Rectangle B is \( \boldsymbol{24x^2 + 84x} …
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question 3 1 pts in considering musical displays of power, which of the…
B. the current national anthem of South Africa, which affirms the message of reconciliation and unity in the country following the end of official racial segregation there
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the rectangle to the right has width $2x^4$ feet and length $8x^5$ feet…
\( 16x^9 \)
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find the value of x and y in the parallelogram below. 2x+5 71 2y-3 31 a…
\(x = 13\), \(y = 37\)
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in the figure shown, what is the value of x? triangle abc with ab and a…
\(x = 1\)
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9. a(0, -2), b(0, 7), c(3, -5), d(6, -5) there is a table with columns …
For \( m(\overline{AB}) \): undefined (vertical line), \( m(\overline{CD}) \): 0 (horizontal line), Types of Lines: Perpendicular. So filling the table: \( m(\overline{AB}) \): Un…
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11. given a(-9, -12), b(-2, 2), c(x, 6), and d(-5, -2), find the value …
\(x = - 1\)
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which theorem is not a valid theorem to show that two triangles are con…
B. SSA Triangle Congruence Theorem
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what value of x will make the triangles congruent by sss? (x - 4) x = \…
23
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which theorem shows that $\\triangle abc \\cong \\triangle def$? a. the…
D. SSS Triangle Congruence Theorem
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in the figure shown, which composition of rigid transformations will ma…
D. a rotation followed by a translation
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d) identify the y-intercept. enter your answer as an ordered pair. e) g…
\((0, 0)\)
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find the solution or solutions that satisfy this system of equations. i…
\((3, - 1)\)
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write the coordinates of the vertices after a rotation 90° counterclock…
The coordinates after 90° counterclockwise rotation around the origin are: - \( K \): \( (0, 3) \) - \( J \): \( (-3, 3) \) - \( M \): \( (-3, 10) \) - \( L \): \( (0, 10) \) (Not…
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you can perform translations in the coordinate plane. translate △abc 4 …
Quadrant I
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question which transformation would take figure a to figure b? answer a…
A reflection over the x - axis
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write the equation of the line in fully simplified slope-intercept form.
\( y = -\frac{7}{5}x + 7 \)
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$x^{2}+y^{2}-6x + 8y + 9 = 0$ is the equation of a circle with center $…
\(h = 3\), \(k=-4\), \(r = 4\)
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write the equation of the line in fully simplified slope - intercept fo…
\(y = 2x - 2\)
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write the equation of the line in fully simplified slope-intercept form…
\( y = x - 6 \)
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graph this line using the slope and y-intercept: y = 9x + 1 click to se…
To graph $y = 9x+1$: 1. Plot the y - intercept at $(0,1)$ (where the line crosses the y - axis, since when $x = 0$, $y=1$). 2. Use the slope $m = 9=\frac{9}{1}$. From $(0,1)$, mov…
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write an equation of the line below.
\(y=-x - 1\)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\frac{1}{2}\)
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graph the line that passes through the points (0, -8) and (5, -5) and d…
The equation of the line is \( y=\frac{3}{5}x - 8 \)
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graph. x > -940 to draw a ray, plot an endpoint and select an arrow. se…
The graph correctly represents \( x > -940 \) with an open circle at -940 and an arrow pointing to the right.
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graph the line that passes through the points (-8, 6) and (-6, 3) and d…
The equation of the line is \( y =-\frac{3}{2}x-6 \) (To graph the line, plot the points \((-8,6)\) and \((-6,3)\) and draw a straight line passing through them using the slope to…
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the general form of a geometric sequence is written as $a_n = a \\cdot …
first
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graph the line that passes through the points (-9, 3) and (6, 8) and de…
The equation of the line is \( y=\frac{1}{3}x + 6 \), and the graph is a straight line passing through \((-9,3)\) and \((6,8)\) (with slope \(\frac{1}{3}\) and y - intercept 6).
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graph the line that passes through the points (-6, 2) and (6, 4) and de…
The equation of the line is \( y=\frac{1}{6}x + 3 \)
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graph the line that passes through the points (0, -6) and (-6, -1) and …
The equation of the line is \( y = -\frac{5}{6}x - 6 \) (To graph, plot the points \( (0, -6) \) and \( (-6, -1) \) and draw a straight line through them).
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graph the line that passes through the points (-1, 7) and (-1, -1) and …
The equation of the line is \(x=-1\), and the graph is a vertical line passing through \(x = - 1\) (passing through the points \((-1,7)\) and \((-1,-1)\)).
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error analysis a math test asks the students to solve the inequality x …
The solution to the inequality \( x - 2 < 16 \) is \( x < 18 \). Mason's error was subtracting 2 from 16 instead of adding 2. The correct graph is the one with an open circle at 1…
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graph the line that passes through the points (-8, -2) and (-8, 1) and …
The equation of the line is \(x=-8\) (and the graph is a vertical line passing through \(x = - 8\) on the coordinate plane).
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graph the line that passes through the points (-7, 7) and (-7, -4) and …
The equation of the line is \(x=-7\) (and the graph is a vertical line passing through \(x = - 7\) and passing through the points \((-7,7)\) and \((-7, - 4)\)).
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preston drew a blueprint of an additional room he is planning to add to…
A. 3 cm by 4 cm
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a contractor is designing a new tennis court and creates a blueprint of…
The scale factor is 7 feet per inch. ### Second Sub - Question (Similar Triangle)
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graph the line that passes through the points (-7, 7) and (-7, -4) and …
The equation of the line is \(x = - 7\). To graph it, draw a vertical line through \(x=-7\) (passing through \((-7,7)\) and \((-7,-4)\) and extending in both vertical directions).
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above are two different models of a microchip. if the model of the micr…
D. 8 cm
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graph the line that passes through the points (1,2) and (-1,2) and dete…
The equation of the line is \( y = 2\), and the graph is a horizontal line passing through points with \( y\) - coordinate 2 (e.g., \((1,2)\), \((-1,2)\), \((0,2)\) etc.).
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challenge you have a bag of x peanuts. you share these peanuts with 4 o…
The correct graph is the one representing \(x\geq175\) (e.g., the graph with a closed or appropriate marking at 175 and an arrow to the right, such as the relevant option among A …
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question a can of soda can be modeled as a right cylinder. suav measure…
\( 265.6 \)
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graph the line that passes through the points (3, 2) and (6, 7) and det…
The equation of the line is \( y=\frac{5}{3}x - 3 \)
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graph the line that passes through the points (-9,7) and (-3,3) and det…
The equation of the line is \( y = -\frac{2}{3}x+1 \)
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solve the inequality and then graph your solution. (chapter 2) $4x + 6y…
The correct graph is Graph C (assuming Graph C is the one with a solid line, negative slope, positive y - intercept, and shading not including the origin). If we consider the labe…
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triangle ghi is dilated to form new triangle jkl. if angle h is congrue…
Angle G is congruent to angle L (the first option among the given options for the congruent angle pair that satisfies AA similarity)
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use the diagram showing m || n, as well as the relationships between in…
The measure of angle ABC is $\boldsymbol{60^\circ}$. The measure of angle BAC is $\boldsymbol{70^\circ}$. The measure of angle ACB is $\boldsymbol{50^\circ}$.
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what are the coordinates of point g and point g? g ( ?, ? ) g ( ?, ? )
\( G(-1, -4) \), \( G'(3, -2) \)
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( (5,7) \)
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which statements are always true regarding the diagram? check all that …
- \( m\angle3 + m\angle4 = 180^\circ \) (True) - \( m\angle2 + m\angle4 + m\angle6 = 180^\circ \) (False) - \( m\angle2 + m\angle4 = m\angle5 \) (True) - \( m\angle1 + m\angle2 = …
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given: m || \\overline{cb} prove: m\\angle abc + m\\angle bac + m\\angl…
D. Alternate interior angles of parallel lines cut by a transversal are congruent.
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which represents an exterior angle of triangle xyz? ○ ∠lxz ○ ∠jxm ○ ∠jx…
# Explanation: ## Step1: Recall exterior angle definition An exterior angle of a triangle is formed by one side of the triangle and the extension of another side, and it is supple…
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what is the measure of ∠abd? ○ 27° ○ 54° ○ 114° ○ 124° (there is a diag…
\(114^{\circ}\)
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write the equation of the line in fully simplified slope - intercept fo…
\(y = - 7x-2\)
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what is the measure of ∠egf? 65° what is the measure of ∠cgf? ° 50 90 9…
\( 115^\circ \)
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what is the measure of ∠egf? ° what is the measure of ∠cgf? 40 ° 55 65 …
65
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what is the value of k? 115° at y, (4k + 5)° at z, (6k + 10)° at x, wit…
\(10\)
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practice relating and calculating the measures of interi and exterior a…
\(98\)
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write the equation of the line in fully simplified slope-intercept form.
\( y=-5x + 7 \)
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what is the slope of the line that passes through the points (-8,6) and…
undefined
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what is the slope of the line that passes through the points (-9, -5) a…
\( -\frac{1}{2} \)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\frac{1}{2}\)
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click twice to plot each segment. click a segment to delete it. answer …
2
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solve the inequality and graph the solution on the line provided. 5x - …
Inequality Notation: \( x < 5 \) Number Line: Open circle at 5, shade left of 5.
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analyze the diagram to complete the statements. the m∠mxn is the m∠yzx.…
1. The \( m\angle MXN \) is \(\boldsymbol{equal to}\) the \( m\angle YZX \). 2. The \( m\angle LZX \) is \(\boldsymbol{equal to}\) the \( m\angle ZYX + m\angle YXZ \). 3. The \( m…
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\boxed{2}\)
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x < 3 \) For the number line: We draw an open circle at 3 (since the inequality is strict, \( x \) is not equal to 3) and shade the region to the left of 3…
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what is the measure of ∠xbc? 1. ( mangle xbc = mangle bac + mangle bca …
\( 135 \)
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which statements regarding the diagram are true? check all that apply. …
- \(\boldsymbol{\angle EFG}\) is an interior angle of \(\triangle EFG\). - \(\boldsymbol{\angle FEZ}\) is an exterior angle of \(\triangle EFG\). - \(\boldsymbol{\angle EGF}\) and…
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what is the m∠acb? a right - angled triangle at a, angle at b is (4x)°,…
\(50^\circ\) (corresponding to the option "50°")