Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which of the following transformations carry this regular polygon onto …
- rotation of \( 72^\circ \) counterclockwise - reflection across \( l \)
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which of the following transformations carry this regular polygon onto …
rotation of \( 90^\circ \) counterclockwise
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kiran is flying a kite. he gets tired, so he stakes the kite into the g…
9
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what is the equation of the line shown below? select the correct answer…
\( y = \frac{1}{3}x + 2 \) (the fourth option: \( y = \frac{1}{3}x + 2 \))
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select linear or nonlinear to correctly classify each function. functio…
- For \(y - 4=-8(x - 1)\): Linear (select the circle under Linear) - For \(y = x^4\): Nonlinear (select the circle under Nonlinear) - For \(y - x^2=4.5\): Nonlinear (select the ci…
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solve for x. x = \\square (simplify your answer. type an integer or an …
\(\frac{24}{5}\)
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a. find the angle. 90 - 48 = 42 c. in the picture below, $overline{bd}$…
- Part c: \( x = 8.5 \) - Part (d) a: \( \angle10 \) and \( \angle12 \) are alternate interior angles (equal if lines \( m\parallel n\)) - Part (d) b: \( \angle1 \) and \( \angle1…
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which characteristic is not true about the line graphed below? the grap…
The graph is falling from left to right.
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clb 2 reading worksheet – inviting neighbours competency area: comprehe…
1. B. A party where everyone brings food 2. A. Food you bring to share
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write the equation of a line parallel to $y = -\frac{3}{4}x$ and passes…
A. \( 3x + 4y = 8 \)
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which diagram shows quadrilateral vwxy rotated 90° counterclockwise abo…
The first diagram (the top - most diagram among the four options, with the blue quadrilateral and \( W \) as the center of rotation)
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match the characteristics of the equation to the graph using a slope of…
The graph of the line with equation $y=\frac{3}{2}x + 3$ (derived from the point - slope form using slope $\frac{3}{2}$ and point $(-2,0)$) will have a $y$ - intercept at $(0,3)$,…
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question given \\(\\overline{rst}\\), use the protractor to measure \\(…
The sum of \( \angle RSU \) and \( \angle TSU \) is \( 180^\circ \) (actual angle measures depend on protractor use, but their sum is \( 180^\circ \) as they form a linear pair).
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this diagram shows the design for a quilt. the quilt is made of 4 squar…
\( \sqrt{2} \) (or approximately 1.414, but in exact form \( \sqrt{2} \)) ### Part b
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look at this diagram: diagram of triangle hij which diagram shows δhij …
The diagram with the blue triangle (the first one shown with \( H' \), \( I \), \( J' \))
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look at this diagram: diagram of triangle ghi with point j on gh which …
The upper diagram (the first one with \( G', H', I' \) in purple) shows \( \Delta GHI \) rotated \( 90^\circ \) counterclockwise about \( J \).
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what multiplication is suggested by each of the models below? (a) image…
(a) $2\times5 = 10$ (or $5\times2 = 10$) (b) $3\times5 = 15$ (or $5\times3 = 15$)
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look at this diagram: diagram of quadrilateral fghi which diagram shows…
The first diagram (the one with the blue and red quadrilaterals, where \( I \) is fixed and the image is rotated \( 60^\circ \) counterclockwise around \( I \))
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look at this diagram: which diagram shows δxyz rotated 45° counterclock…
The Upper Diagram (with \( Z \) fixed and \( X' \), \( Y' \) rotated \( 45^\circ \) counterclockwise about \( Z \))
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7) <---(black line with filled dot at -10)----(open dot at -4)---(black…
To solve the inequality represented by the number line, we analyze each segment: ### Step 1: Analyze the left segment (closed dot at \(-10\)) The closed dot at \(-10\) and the arr…
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which diagram shows quadrilateral tuvw rotated 60° counterclockwise abo…
The top diagram (the first one shown)
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3. each diagram shows a dilation with center o. find each scale factor …
To solve for the scale factor of each dilation, we use the definition of a dilation: the scale factor \( k \) is the ratio of the distance from the center of dilation \( O \) to t…
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11) <----•0--------○4--------->
\( x > 4 \)
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given the following coordinates, which of the following equations will …
B. \( y - 8=\frac{21}{5}(x-(-12)) \)
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question what is an equation of the line that passes through the point …
The equation of the line is \(x + y = 2\) (or \(y=-x + 2\))
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given the slope of -7 and the point (2, 9), which equation is the incor…
D. $y = 7x-9$ (assuming the options are labeled A: $y=-7x + 23$, B: $7x + y=23$, C: $y - 9=-7(x - 2)$, D: $y = 7x-9$)
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find the perimeter of the triangle. (example an expression is 3x + 50)
\( 4x + 64 \)
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21/41 graph y = (x - 3)^2 - 4
To graph \( y=(x - 3)^2-4 \): 1. **Vertex**: \((3,-4)\) (from vertex form \( y=a(x - h)^2 + k \)). 2. **Direction**: Opens upward (\( a = 1>0 \)). 3. **Axis of Symmetry**: \( x = …
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find the perimeter of the triangle. (example an expression is 3x + 50)
\( 4x + 64 \)
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triangle abc, shown here, is equilateral. a. what is the value of x? ty…
(Parte a): \( x = 4\sqrt{3} \) (o aproximadamente \( 6.93 \)) units (pero la forma exacta es \( 4\sqrt{3} \) o si se simplifica, \( 4\sqrt{3} \approx 6.93 \), pero quizás el probl…
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priya says, \i know everything about a right triangle with a 30 degree …
Missing angles: \(90^\circ\) and \(60^\circ\) Missing side lengths: \(1\) cm and \(\approx 1.732\) (or \(\sqrt{3}\)) cm
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29. 30. 31. 32. 33. 34. 35. 36.
Please provide a specific question about these geometric figures (e.g., prove triangle congruence, identify the congruence criterion, etc.) to get a detailed solution.
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30. 32. 34. 36.
Please provide more details about what is required to be done with these geometric figures (e.g., prove congruence, find a missing angle, etc.) to get a proper solution.
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here is triangle abc. estimate the values to complete the table. round …
Para ángulo \( A \): - adjacent leg ÷ hypotenuse: \( 0.26 \) - opposite leg ÷ hypotenuse: \( 0.97 \) - opposite leg ÷ adjacent leg: \( \approx3.73 \) (o \( \frac{0.97}{0.26}\appro…
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29. 30. 31. 32. 33. 34. 35. 36.
(Assuming the question is about triangle congruence and taking problem 29 as an example) The two triangles in problem 29 are congruent by SSS (or SAS) congruence criterion due to …
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assume the following pattern with terms built of square tile figures co…
23 ### Part (b)
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check the box corresponding to each graph that represents a function.
The given graph represents a function (so we check the box corresponding to this graph as it passes the vertical line test).
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10.) rotate 180° cw 11.) rotate 90° cw 12.) rotate 90° ccw
s: - **Problem 10**: The figure after 180° CW rotation has vertices at \((1,-3)\), \((1,-1)\), \((4,-1)\), \((4,-3)\) (plotted in the fourth quadrant relative to the original). - …
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remember for problems 2–5, evaluate the expression for the given value.…
\( 8.2 \) ### Problem 3: Evaluate \( 1.2x - 4 \) when \( x = 4 \)
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1. graph $t < 6$ on the number line. 2. write the inequality that is re…
A. The graph with open circle at 4.4 and arrow left (4.0, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0 with open circle at 4.4 and left arrow)
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two battleships that each cover 3 coordinates are located somewhere on …
A possible coordinate to fire is (2,2) (or other valid coordinates like (1,1), (3,3) etc. depending on the battleship's position. Since the exact battleship positions aren't fully…
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question given ( m parallel n ), find the value of ( x ) and ( y ). (im…
\( x = 47^\circ \), \( y = 133^\circ \)
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question point p is located at (-1,5) on the coordinate plane. point p …
\((1,5)\)
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question point h is located at (1, -2) on the coordinate plane. point h…
\((1,2)\)
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question use the number line to determine which fraction is larger: \\(…
9
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question given m || n, find the value of x.
\( x = 64 \)
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question point b is located at (-2, -4) on the coordinate plane. point …
\((-2, 4)\)
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question the measures of the angles of a triangle are shown in the figu…
\(80^\circ\)
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question point r is located at (-6, -2) on the coordinate plane. point …
\((6, - 2)\)
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question find the length of the third side. if necessary, write in simp…
\(2\sqrt{21}\)
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question point q is located at (-6, -1) on the coordinate plane. point …
\((6,1)\)
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points reflected over an axis score 4/10 penalty: 1 off question show e…
\((-5,-3)\)
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question find the length of the third side. if necessary, write in simp…
\(3\)
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question point w is located at (-6, 4) on the coordinate plane. point w…
\((6, - 4)\)
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question point e is located at (3, -5) on the coordinate plane. point e…
\((-3,5)\)
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question point p is located at (4,2) on the coordinate plane. point p i…
\((4,-2)\)
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question point t is located at (-6, -2) on the coordinate plane. point …
\((6, - 2)\)
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test prep what is the area of the shaded part of the figure? 3 in. 4 in…
102
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test prep what is the area of the figure? 2 m 2 m 3 m 3 m 4 m 7 m 8 m e…
\( 44 \, \text{square meters} \) (o \( 44 \, \text{m}^2 \))
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mandy’s garden 1 ft 7 ft 1 ft 5 ft 3 ft 3 ft enter the correct answer i…
26
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solve for y if δabc ~ δdef. note: triangles are not drawn to scale. y =…
\(y = 19.6\)
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1.010) a. set of equations: b. classification: handwritten text coordin…
a. Set of equations: $y = x - 2$ and $y = -x$ (or other correct pair based on graph, but likely $y = x - 1$ and $y = -x - 1$; need to recheck). Wait, maybe the correct equations a…
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4 ft 4 ft 4 ft 4 ft 8 ft 1 ft 9 ft enter the correct answer in the box.…
\( 68 \)
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find the area of the shaded part of the figure. 8 mm 2 mm 6 mm 5 mm 4 m…
28
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question 5 using the following coordinates, write the equation of a lin…
D. $11x + y = 92$ (assuming the last option is D, if the options are labeled as A, B, C, D, E with the last one being E, then E. $11x + y = 92$)
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given the following coordinates, find the equation of a line in standar…
A. \( 2x - y=39 \)
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3) if m∠a = 93, what is the m∠b? 87 180 93 90
\(87^{\circ}\)
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1. graph $t < 6$ on the number line. (number line with marks at 0,1,2,3…
To graph \( t < 6 \) on the number line: 1. Place an open circle at 6 (because \( t = 6 \) is not a solution). 2. Draw a line segment (or an arrow) starting from the open circle a…
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5. choose the graph that shows the inequality z < 4.4. a: number line w…
A. The graph with a hollow circle at 4.4 and an arrow to the left (Graph A)
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functions and lines graphing a line given its slope and y-intercept gra…
The line is graphed by plotting \((0, -8)\) and using the slope to find another point (e.g., \((1, -5)\)) then drawing a line through them.
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functions and lines graphing a line given its slope and y-intercept gra…
To graph the line: 1. Plot the point \((0, - 1)\) (the \(y\)-intercept). 2. From \((0, - 1)\), move up 2 units and right 5 units to plot the point \((5,1)\) (using the slope \(\fr…
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which similarity theorems should you try: similar or not similar: δlmn …
The similarity theorem is SAS (Side - Angle - Side) similarity, and $\triangle LMN$ is similar to the other triangle (e.g., $\triangle LIK$) with the conclusion "Similar" based on…
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12. 3x + y = 4 x - 2y = 6
The solution to the system of equations is \(x = 2\), \(y = -2\) (the point of intersection is \((2, -2)\)).
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9. y = -\\frac{1}{4}x + 3 y = -2x - 4
The solution is \( x = -4 \), \( y = 4 \) (or the point \((-4, 4)\)).
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which equation can be used to find the value of x? $x = 60 - 40$ $x + 4…
\(x = 60 + 40\) (the fourth option in the given set of equations)
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you can use what you learned about exterior angles of triangles to find…
\(x = 50\)
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solving linear equations: slope intercept form skill: identify 4 types …
- A: Zero Slope (Horizontal Line) - B: Negative Slope - C: Positive Slope - D: Undefined Slope (Vertical Line)
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use efficient methods determine whether △def ≅ △pqr. d(-6, 1), e(1, 2),…
C) \( DE = 5\sqrt{2} \), \( PQ = 5\sqrt{2} \), \( EF = 2\sqrt{10} \), \( QR = 2\sqrt{10} \), \( DF = 5\sqrt{2} \), \( PR = 5\sqrt{2} \)
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solve for x if δijk ~ δlmn. note: triangles are not drawn to scale. x=2…
x = 36
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functions and lines finding the coordinates of a point on a graph given…
(2.5, 0)
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ally, write an equation that represents this line. you can think of the…
$e = 35000$
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lines m and l are parallel. what is the measure of ∠x? 80 100 110 70
70
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write the coordinates of the vertices after a dilation with a scale fac…
\( R'(-3, 2) \), \( U'(-1, 2) \), \( T'(-1, 5) \), \( S'(-3, 5) \)
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find the length of the third side. if necessary, round to the nearest t…
10
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a. what is the equation to use to find the height of the top part of th…
D. height of the top part \(=\sqrt{(12.5)^{2}-(9.2)^{2}}\) ### Part b
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question 25 of 25 which ordered pair describes the location of the poin…
C. (3, -5)
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write the coordinates of the vertices after a dilation with a scale fac…
- \( Q'(-8,4) \) - \( R'(-8,-4) \) - \( S'(0,-4) \) - \( T'(0,4) \) (assuming \( r \) is \( T \)) (If the original coordinates were misread, but the key is to multiply each coordi…
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question 23 of 25 which of the following is defined to be the point of …
B. The origin
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2. a circle is graphed on a coordinate grid with its center point at (5…
B. \((x,y)\to(x, - y)\)
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(a) the square pyramid and the cone below both have a height of 11 cm. …
The volume of the square pyramid is \(\frac{176\pi}{3}\) cubic centimeters (or approximately \(184.21\) cubic centimeters if \(\pi\approx3.14\)). If we assume that there is a misc…
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question 22 of 25 which expression gives the perimeter of the regular h…
B. \( 7x \)
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write the coordinates of the vertices after a dilation with a scale fac…
\( Q'(-8, 6) \), \( R'(-8, 2) \), \( S'(0, 10) \)
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emaan designs the birdhouse shown to the right. a. what is the total he…
\(17.7\)
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staar quiz 8.10(c) - r name date p 1 triangle abc was transformed to cr…
D. \((x, y) \to (x - 8, y - 2)\)
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the upper-left coordinates on a rectangle are (-8, 8), and the upper-ri…
To draw the rectangle: 1. Plot the upper - left point at \((-8,8)\) and upper - right point at \((-3,8)\). 2. Calculate the length of the horizontal side: \(|-3-(-8)| = 5\) units.…
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solve the following inequality and graph the solution set on a number l…
The solution to the inequality \(-7 < x + 1 < -2\) is \(-8 < x < -3\). The graph on the number line has open circles at \(-8\) and \(-3\) with a line segment connecting them.
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part 1 of 3 emaan designs the birdhouse shown to the right. a. what is …
The equation to find the height of the top part (roof) is \(h = \sqrt{12.5^{2}-9.2^{2}}\) (or in the form of the Pythagorean theorem: \(h^{2}+9.2^{2}=12.5^{2}\) where \(h\) is the…
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solve for x (2x+6)° 96° x=45 x=39 x=-6 x=96
\(x = 45\)
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8. the coordinate grid below shows rectangle wxyz. 8.10c rectangle wxyz…
D. \((x,y)\to(y, - x)\)
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solve the inequality and graph the solution set on a number line. 3x - …
The solution to the inequality \(3x - 3 > -x + 17\) is \(x > 5\). The graph has an open circle at 5 and an arrow pointing to the right.