幾何
三角形、圓、解析幾何與證明題。
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26. the perimeter of a rectangle 28.8 centimeters. the length of the re…
The width of the rectangle is \( 4.8 \) cm and the length is \( 9.6 \) cm. ### Problem 27
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find the signs of the six trigonometric function values for the given a…
\(\sin 299^\circ\) is negative, \(\cos 299^\circ\) is positive, and \(\tan 299^\circ\) is negative.
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find the signs of the six trigonometric function values for the given a…
\(\csc 39^{\circ}\) is positive, \(\sec 39^{\circ}\) is positive, and \(\cot 39^{\circ}\) is positive.
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a chef pours 550 cubic centimeters of batter into a baking pan in the s…
4.9 cm
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find the signs of the six trigonometric function values for the given a…
\(\sin39^{\circ}\) is positive, \(\cos39^{\circ}\) is positive, and \(\tan39^{\circ}\) is positive.
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find the measure of the missing angles. 105° 32° answer attempt 1 out o…
\( d = 75^\circ \), \( e = 32^\circ \), \( f = 73^\circ \)
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what is the length of a rectangle with width 12 in. and area 90 in.²? t…
7.5
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for each statement in 6-10, write a counterexample that disproves the s…
Mary's clothes are wet because she spilled a drink on herself, and it is not raining outside.
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aidan and rick are drawing a map of the space used for a game of laser …
The missing vertex should be at \( (6,3) \) because moving 7 units east from \( A(-1,3) \) means adding 7 to the \( x \) - coordinate (\( - 1+7 = 6 \)) and keeping the \( y \) - c…
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find the measure of the missing angles. answer attempt 1 out of 2 x = s…
\( x = 32^\circ \), \( y = 90^\circ \)
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geometry unit 2 lesson 2 homework name_____________________ date_______…
Deductive Reasoning
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find the measure of the missing angles.
\( h = 67^\circ \), \( g = 113^\circ \), \( m = 55^\circ \), \( k = 125^\circ \)
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determine the validity of the conditional statement below and the valid…
s: Conditional statement is: True Converse of statement is: True Biconditional form: A polygon is a quadrilateral if and only if it has four sides.
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find the measure of the missing angles. diagram of intersecting lines w…
\( x = 31^\circ \), \( y = 59^\circ \)
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use the information about the figure to find the indicated measure. 23.…
The height \( h \) is \( 24\space\text{in} \). ### Problem 24:
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determine the validity of the conditional statement below and the valid…
Conditional statement: True Converse of statement: True Biconditional form: A circle has a radius of 3 meters if and only if it has a circumference of \( 6\pi \) meters.
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click the arrows to choose an answer from each menu. the fourth vertex …
- First "Choose": \( y\text{-coordinate} \) - Second "Choose": Add the horizontal change (or similar) - Third "Choose": (Depends on context, but the vertex is \( (1, 3) \)) - Four…
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nc.8.g.3 3. triangle abc has vertices a(4, 2), b (2,4), c (6, 6) a. dra…
\(A'(2,1)\), \(B'(1,2)\), \(C'(3,3)\) (Explanation: Multiply each original \(x,y\) by \(0.5\) for dilation about \((0,0)\).)
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find the measure of the missing angles. answer attempt 1 out of 2 x = \…
\( x = 59^\circ \), \( y = 31^\circ \)
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find the measure of the missing angles.
\( h = 71^\circ \), \( g = 109^\circ \), \( m = 96^\circ \), \( k = 84^\circ \)
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14. two angles supplementary to the same angle must be congruent. 15. a…
True
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what is the area of a rectangle with a base of 4 units and a height of …
40
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10. tamara either runs or walks the same route each day. last month, sh…
C
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quinn calculated the approximate volume of the cone shown using 3.14 fo…
In the calculation for volume, Quinn used \( \frac{1}{2} \) instead of \( \frac{1}{3} \) in the cone volume formula. The correct approximate volume of the cone is \( 1570 \) cubic…
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what is the area of a triangle with a base of 8 units and a height of 8…
32
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find the measure of the missing angles.
\( h = 49^\circ \), \( g = 131^\circ \), \( m = 126^\circ \), \( k = 54^\circ \)
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12. the area of a triangle is 48 square inches, and its height is 16 in…
The base of the triangle is 6 inches. ### Problem 13:
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organizing the real numbers directions: place the letter of each value …
To solve this problem of organizing real numbers into their respective sets (Natural, Whole, Integers, Rational, Irrational), we analyze each value: ### 1. Natural Numbers (counti…
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3. use the piecewise function below to determine the value of the funct…
Looking at the piecewise function's graph, at \( x = 4 \), we check the defined point (the filled circle). From the graph, the y - value at \( x = 4 \) (the filled dot) correspond…
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counterexample directions: determine whether the conjecture is true or …
The conjecture is true. ### Problem 8:
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2. use the piecewise function below to determine the value of the funct…
To determine the value of the piecewise function at \( x = -2 \), we analyze the graph: - The upper piece (the line with the open circle) and the lower piece (the parabola) are pa…
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in the figure below, points d, b, e, f, and g lie in plane x. points a …
### Part (a) # Explanation: ## Step1: Recall plane naming rule A plane can be named by three non - collinear points in it. Points \(D\), \(B\), \(E\) (or other combinations like \…
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unit 2 midunit test: scale factor & dilations name: ___________________…
After a dilation of 2.25, the side lengths of the rectangle will be 13.5 cm and 20.25 cm.
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the equation for the area of a circle, a, is ( a = pi r^2 ) where r is …
\( r = \sqrt{\frac{A}{\pi}} \) (corresponding to the option \( r=\sqrt{\frac{A}{\pi}} \))
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caroline uses a magnifying sheet to help her read. the magnifying sheet…
54
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4 from unit 1, lesson 2 this diagram was created by starting with point…
B. Construct a circle centered at \( C \), C. Construct a circle centered at \( D \), D. Label the intersection points of the circles \( A \) and \( B \), F. Draw a line through p…
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determine whether each congruence statement is always true, sometimes t…
- **Always True**: \( \overline{HP} \cong \overline{HL} \) - **Sometimes True**: \( \overline{LM} \cong \overline{MP} \), \( \overline{JP} \cong \overline{QP} \), \( \overline{MK}…
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27. which equation represents the nth term of the sequence {2, -1, -4, …
D. \(a_n=-3n + 5\)
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you want to install wall - to - wall carpeting in the family room. the …
\(732.33\)
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7. complete the statements. point h is ○ 1/4 ○ 1/5 of the distance from…
To solve for the ratios \( NR:NW \), \( RT:WH \), and \( RT:KX \), we analyze the grid and the dilation (scaling) relationship between the segments. Let's assume each grid square …
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what is the approximate volume of the cone? use 3.14 for π. image of a …
\( 157 \, \text{cm}^3 \) (corresponding to the option "157 \( \text{cm}^3 \)")
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6) use the following information to find x. write the value of the vari…
\( x = \frac{2}{3} \)
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place the letter of each value in its location in the real number syste…
Associative Property of Addition ### Problem 8: Identify the property for \( \frac{2}{5}\cdot\frac{5}{2}=1 \)
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find the perimeter of the figure. round to the nearest tenth of a unit.…
Let's solve problem 9 first. We need to find the perimeter of quadrilateral \(ABCD\) by calculating the lengths of its sides using the distance formula \(d = \sqrt{(x_2 - x_1)^2 +…
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start with a circle whose equation is ((x - a)^2 + (y - b)^2 = r^2). di…
D. All circles are similar to a circle with a radius of 1 unit.
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geometry unit 1 lesson 4 homework name __________________ date ________…
3
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5) what is the length of (overline{az})? use the following inform a is …
144
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which statement about the angles in the figure is true? m∠3 + m∠5 = 180…
\(m\angle8 + m\angle9 = 90^{\circ}\) (the option with this statement)
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children who have cerebral palsy often use therapy balls to help improv…
\( 4200 \, \text{in}^3 \) (corresponding to the option "4,200 in³")
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find the measure of the missing angles. answer attempt 2 out of 2 d = \…
\( d = 49^\circ \), \( e = 29^\circ \), \( f = 102^\circ \)
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geometry unit 1 lesson 4 homework points h, h, and h are shown. 1. dete…
3
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how long is an arc intercepted by the given central angle in a circle o…
16.81
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what is the approximate volume of the cylinder? use 3.14 for π. diagram…
\( 904.32\space\text{cm}^3 \)
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find the linear speed v for the following. a point on the equator movin…
\( \dfrac{72360\pi}{11} \)
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directions: reflect each point over the given line. type the answer to …
s: Question 1: \((1, -6)\) Question 9: \((1, -3)\)
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(-8, 1) over the y-axis (8,1); (-8,6) over the line y = -x; (8, -6) ove…
s: - Problem 6: \(\boldsymbol{(-6, 8)}\) - Problem 7: \(\boldsymbol{(-6, 8)}\) (Wait, no, wait for problem 7, \((8,-6)\) over \(y = x\) is \((-6,8)\)? Wait, no, \((x,y)=(8,-6)\), …
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6. christopher ran 16 miles at 50 degrees south of west. how far west d…
D. 10.3 miles west (Note: To find the westward component, we use the cosine of the angle. The distance west is \( 16 \cos(50^\circ) \approx 16 \times 0.6428 \approx 10.3 \) miles.…
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7. a triangle has a base of 6 miles and a height of 2 miles. sketch the…
The area of the triangle is 6 square miles. ### Problem 8:
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what is the approximate volume of the cylinder? use 3.14 for π. 452.16 …
\( 452.16 \space\text{cm}^3 \)
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(8,7) (-3,-2) (-6,1) (8,1) 10 (-1,-8) over the y-axis 11 (5,8) over the…
To solve the reflection problems, we use the following rules: ### Problem 10: Reflect \((-1, -8)\) over the \(y\)-axis ## Step 1: Recall the rule for reflection over the \(y\)-axi…
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picture jasmine enlarged the size of a picture to a height of 15 inches…
22.5
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question write the following statement as a conditional statement and d…
If two angles add up to equal 90 degrees, then the two angles are complementary. The statement is true.
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graph the inequality below on the number line. ( a geq 3 )
To graph \( a\geq3 \) on the number line: 1. Locate the number \( 3 \) on the number line. 2. Place a closed (filled) circle at \( 3 \) (because the inequality is "greater than or…
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20) rotation 90° counterclockwise about the origin
To solve a \( 90^\circ \) counterclockwise rotation about the origin, we use the transformation rule: for a point \( (x, y) \), the image after a \( 90^\circ \) counterclockwise r…
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determine whether the lines ( l_1 ) and ( l_2 ) passing through the pai…
perpendicular
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3 (3,7) over the line y = x 4 (-2, -8) over the x-axis 5 (-4, -5) over …
To solve the problem of reflecting points over different lines (or axes), we use the following reflection rules: ### Reflection over the line \( y = x \): The rule for reflecting …
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linear inequalities graphing a linear inequality on the number line gra…
To graph \(a > 5\) on the number line: - Place an open circle at \(5\) (since \(5\) is not included in the solution as the inequality is \(>\), not \(\geq\)). - Draw an arrow star…
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the pre-image ( abcd ) is dilated to become the image ( abcd ). the ori…
2
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the smaller triangle is a pre-image of the bigger triangle. is (1,-1). …
4
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△mnp is the image of △mnp under a dilation through point mp = 10 and mp…
\( 0.4 \)
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4. a circle with a radius of 32 cm (diagram shows a circle with its cen…
If area: \( 1024\pi \, \text{cm}^2 \) (or \( 3215.36 \, \text{cm}^2 \)) If circumference: \( 64\pi \, \text{cm} \) (or \( 200.96 \, \text{cm} \)) (Assuming area is required, the a…
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practice segment addition postulate maze 1 directions: begin at the “st…
The path through the maze uses the Segment Addition Postulate to solve each segment length, leading from "Start" to "End" by calculating \( AC = 13 \), \( IK = 26 \), \( TU = 10 \…
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point d(-1,5) is reflected across the x-axis. which statements about d …
The correct statements are: - The x - coordinate is - 1 - The y - coordinate is - 5
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find the circumference and area of the circle. round to the nearest ten…
### Problem 4: Circle with radius \( r = 32 \, \text{cm} \) #### Circumference: The formula for the circumference of a circle is \( C = 2\pi r \). ## Step 1: Substitute \( r = 32 …
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given: q(-8, 2), r(-2, -10) find: qr
\(6\sqrt{5}\)
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given: d(-12, 10), e(-1, 5) find: de
\(\sqrt{146}\)
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estimating between the lines. place a mark indicating the location requ…
s (Readings for labeled ones): 7) \( 2.5 \) 8) \( 2.2 \) 9) \( 0.22 \) 10) \( 22.3 \) 11) \( 0.023 \) (For unlabeled line placement, the dot is placed at the calculated/estimated …
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find the distance between the coordinates given. * 11 d(5,6), e(-3,8) 1…
(Problem 11): \( 2\sqrt{17} \) (or approximately \( 8.25 \))
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select the sentence that uses personification. fine rays of sunlight tr…
Tiny wildflowers shyly emerged through the cracks in the pavement.
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d√(x2 - x1)² + (y2 - y1)² find the distance between p and q
To find the distance between two points \( P(x_1, y_1) \) and \( Q(x_2, y_2) \), we use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] However, we need the c…
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given: t(-8, 12), v(-12, 7) find: tv given: s(-1, 2), t(-10, 11) find: …
For \( TV \): (If we assume a miscalculation or misprint, but based on given points, \(\sqrt{41}\), but if we consider the option \(4\sqrt{13}\approx14.42\), \(\sqrt{41}\approx6.4…
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what is the value of x in the equation represented by the tiles? left: …
3 (corresponding to the first option: 3)
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find the distance between the coordinates given. * 10 g(1, -4), h(9,2) …
10 ### Problem 11: Distance between \( D(5, 6) \) and \( E(-3, 8) \)
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for use with pages 48–56 find the perimeter and area of the figure. 1. …
Perimeter: \( 46 \) ft, Area: \( 126 \) square feet ### Problem 2 (Right Triangle: legs 12 in, 5 in; hypotenuse 13 in)
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given: c(-5, -4), d(-2, -7) find: cd given: l(2, -2), m(8, -1) find: lm
For \( CD \): \( 3\sqrt{2} \) For \( LM \): \( \sqrt{37} \)
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given: c(-5, -4), d(-2, -7) find: cd
\(3\sqrt{2}\)
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the figure below is dilated by a factor of 2 centered at the origin. pl…
The dilated image has vertices at \( P'(0,4) \), \( Q'(-2,4) \), \( N'(-6,-4) \), and \( O'(8,-4) \). (To plot, mark these points on the coordinate plane and connect them appropri…
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select the statement that is the inverse of the following statement: if…
If a rectangle doesn't have four congruent sides, then it isn't a square.
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identify a pair of segments that are marked perpendicular to each other…
A pair of perpendicular segments is \(JK\) and \(JI\) (or \(HI\) and \(HJ\), or other valid pair based on the right - angle marks in the diagram, e.g., \(JK\perp JI\))
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select the statement that is the inverse of the following statement: if…
If two lines aren't parallel, then they don't have the same slope.
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select the statement that is the contrapositive of the following statem…
If a triangle doesn't have congruent base angles, then it isn't isosceles.
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geometry chapter 1 worksheet 2 please use the diagram on the right to a…
Points A, B, C, and D are coplanar (lie on the same plane, the top face of the rectangular prism) and are vertices of a rectangle (forming the top face). ### Question 2
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short answer questions. be sure to answer all parts of the questions. 7…
The three components of a complete agricultural education program are: 1. Classroom/Laboratory Instruction 2. Supervised Agricultural Experience (SAE) 3. FFA (Future Farmers of Am…
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find the midpoint of the segment with the given endpoints. * 1 2 and 14…
8 ### Sub - Question 2
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△ abc and △ def are graphed on a coordinate plane. which sequence of tr…
A. a reflection over the \(y\) - axis, and then a translation right one unit
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look at this diagram: diagram with points e, b, a, c, f, h, g, d if bd …
\( 122^{\circ} \)
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given: y(-7, 7), z(-3, -9) find: yz
\(4\sqrt{17}\)
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the figure below is dilated by a factor of 4 centered at the origin. pl…
The dilated image has vertices at \( (-4, -4) \), \( (0, -8) \), \( (8, 0) \), \( (0, 8) \), \( (-4, 8) \). Plot these points and connect them to form the dilated figure.
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look at this diagram: if qs and tv are parallel lines and m∠sru = 48°, …
\( 132^\circ \)
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directions: find radical form. use y given: j(4, -4), k(-10, -2) find: …
\(10\sqrt{2}\)