Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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language review - q2.7 date: tuesday what part of speech is the underli…
adjective ### Sub - Question 2: Write the meaning of the underlined words "retook" and "control"
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name practice for exercises 1–5, use the figure and the description to …
\( m\angle 1 = 60^\circ \), \( m\angle 2 = 120^\circ \), \( m\angle 3 = 60^\circ \), \( m\angle 4 = 120^\circ \), \( m\angle 6 = 60^\circ \), \( m\angle 7 = 120^\circ \), \( m\ang…
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a discus circle is shown to the right. it has a diameter of 98.5 inches…
a. 7617.13 square inches b. 6939.79 square inches c. 677.34 square inches
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the following point was reflected across the $x-$axis, what would be th…
d. \((-6,-4)\)
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homework 2: angles of triangles ** this is a 2 - page document! ** dire…
\( 45^\circ \) ### Problem 2: Find \( m\angle 1 \) (exterior angle or triangle sum)
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write the set of coordinates for a reflection over the x-axis of the fi…
c. \((2, - 1),(5, - 1),(2, - 4)\)
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write the notation to describe the movement of the points in the reflec…
a. \( r_{x\text{-axis}} \)
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find the area of the shaded region. leave the answer in terms of π and …
$196 - 49\pi$ sq in
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a figure has vertices $(-1, 3), (-3, 1), (-5, 1),$ and $(-4, 6)$. what …
d. \((-1, - 3),(-3, - 1),(-5, - 1),(-4, - 6)\)
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a figure has vertices (2,1), (5,1), and (2,4). what are the coordinates…
d. \((-2,1),(-5,1),(-2,4)\)
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write the notation to describe the movement of the points in the reflec…
a. \( r_{y=x} \)
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if the following point were reflected across the y-axis, what would be …
a. \((5, - 4)\)
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the circle shown has a diameter of 40 centimeters. the length of rc is …
12
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write the set of coordinates for a reflection over the x-axis of the fi…
d. \((1, - 3),(2, - 5),(3, - 2)\)
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what kind of reflection maps the point (4,2) to (4,-2)? a reflection ov…
b. Reflection over the x - axis
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write the set of coordinates for a reflection of the figure over the y …
d. \((2, 3),(1, 3),(1, 2)\)
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in circle l, a sector is shaded. ∠mln measures 120°. what fraction of t…
Fraction of shaded circle: $\frac{1}{3}$ Correct area expression: $\frac{1}{3}(100\pi)$
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in circle v, \\(\\overarc{wyx}\\) is highlighted. \\(\\angle wvx\\) mea…
Fraction of the circle highlighted: $\frac{11}{15}$ Expression for length of $\widehat{WYX}$: $\frac{11}{15}(4\pi)$
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give a pair of alternate interior angles, a pair of corresponding angle…
(b) Corresponding angles: \( \angle 1 \) and \( \angle 5 \)
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0.tr.7 congruent triangles definitions for each of the congruency theor…
To solve problems related to triangle congruence (SSS, SAS, ASA), follow these steps: ### Step 1: Identify the Congruence Criterion - **SSS (Side - Side - Side)**: Check if all th…
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part 6: kite use kite abcd and the given information to complete the fo…
20. $x=5$, $y=7$ 21. $DB=240$ 22. $\angle ADC=54^\circ$ 23. $x=18$ 24. $DB=26$ 25. $x=11$ 26. $x=30$ 27. $x=9$
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4. what are the vertices of this ellipse? options: (-4, 2) and (4, 2) (…
(-9, 2) and (-1, 2)
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3. what are the foci of the ellipse given by the equation $x^2 - 4x + 5…
(4, -3) and (0, -3)
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2. what are the lengths of the major and minor axes of this ellipse \\(…
Major Axis: $4\sqrt{3}$ units, Minor Axis: $2\sqrt{6}$ units
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you are to construct a decorative wood shelf that has two metal angle s…
\(53^\circ\) (corresponding to the option with \(53^\circ\))
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a building casts a shadow reaching 13 feet from the base of the buildin…
30°
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write the coordinates of the vertices after a reflection over the y - a…
\( Q'(9, -7) \) \( R'(9, -1) \) \( S'(4, -4) \)
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write the coordinates of the vertices after a reflection over the y - a…
\( Q'(-6, 0) \) \( R'(-9, 0) \) \( S'(-9, 2) \) \( T'(-6, 2) \)
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practice 8.01 problems 1–4: determine the area of each tilted square. e…
17 square units ### Problem 2: Square B
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which figure is a dilation of figure abcd? figure efgh figure ijkl figu…
figure IJKL
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i. a set of points where the coordinates of each point have a sum of 2 …
To solve for the equations of the sets of points: ### Part (i) #### Step 1: Define the variables Let the coordinates of a point be \((x, y)\). #### Step 2: Translate the condition…
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what is the value of the dot shown on the number line below? if the ans…
1
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solve for ( x ) and graph the solution on the number line below. ( 6x >…
Inequality Notation: \(x > 10\) For the number line: We draw an open circle at \(10\) (because the inequality is \(>\) not \(\geq\)) and shade the region to the right of \(10\) to…
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solve for x and graph the solution on the number line below. -1 ≥ -11 +…
Inequality Notation: \(x \leq 10\) For the number line: We draw a closed circle at 10 (since the inequality is "less than or equal to") and shade the line to the left of 10 to rep…
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solve for x and graph the solution on the number line below. $1 \\geq \…
Inequality Notation: \(x\leq3\) For the number line graph: - We draw a number line. - We place a closed circle at \(x = 3\) (because the inequality is "less than or equal to", so …
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$\\overline{wx}$ is dilated by a scale factor of $\\frac{1}{3}$ to form…
12
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the figure below is dilated by a scale factor of 4 to form \\(\\angle x…
\(48^\circ\)
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question \\overline{no} is dilated by a scale factor of \\frac{1}{3} to…
5
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solve for x and graph the solution on the number line below. 18 < 10 + …
Inequality Notation: \(x > 8\) For the number line: We draw an open circle at \(8\) (since \(x\) is not equal to \(8\)) and draw an arrow pointing to the right (to represent all n…
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solve for ( x ) and graph the solution on the number line below. ( -1 >…
Inequality Notation: \(x > 4\) (For the number line: Draw an open circle at 4 and shade to the right, since \(x\) is greater than 4 but not equal to 4.)
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find the area of this figure. a = \\square in$^2$
66
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find the area of this figure. a = \\square cm² (hint: area of a paralle…
90
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question solve for ( x ) and graph the solution on the number line belo…
The solution to the inequality \( x + 8<14 \) in inequality notation is \( x < 6 \). For the number line graph, there is an open circle at 6 and an arrow pointing to the left.
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date: ** this is a 2 - page document! ** directions: determine whether …
1. Similar (all side ratios = $\frac{1}{2}$) 2. Not similar (side ratios $\frac{5}{3}$ and 2, not equal) 3. Similar (all side ratios = $\frac{2}{3}$) 4. Similar (all side ratios =…
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graph the solution to the inequality on the number line. \\(|v - 7| \\g…
To graph the solution of \(|v - 7|\geq3\) (which is \(v\leq4\) or \(v\geq10\)) on the number line: - Place a closed circle at \(4\) and draw an arrow to the left (towards negative…
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example 2 trapezoid rhwa with midsegment (overline{uk}) is shown. find …
55.5 ft
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understanding of the coordinate plane name 1 write ordered pairs for th…
s: - Point A: \(\boldsymbol{(2,8)}\) - Point B: \(\boldsymbol{(1,3)}\) - Point C: \(\boldsymbol{(6,6)}\) - Point D: \(\boldsymbol{(4,0)}\) - Point E: \(\boldsymbol{(8,2)}\) - Loca…
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example 2 trapezoid rhwa with midsegment \\(\\overline{uk}\\) is shown.…
$x=3$, $y=-8$
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in which quadrant is the point (0,4) located? a. none b. iii c. i d. ii…
A. none
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the image of a triangle after it has been dilated with a center at the …
A. The scale factor is $\frac{2}{3}$. B. The coordinates of B are (9, -27). C. The coordinates of C' are (12, 8).
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the image of a triangle after it has been dilated with a center at the …
- The coordinates of C' are (27, 18). - The scale factor is $\frac{2}{3}$. - The coordinates of B are (9, -27).
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a quadrilateral with vertices at a(4, -4), b(4, -16), c(12, -16), and d…
9
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(b) suppose the angles below have the same measure. choose the correct …
s: #### (b) (Assuming the angle measure, e.g., if it's 60°, but with a protractor, the measure is \(\boldsymbol{60^\circ}\) (or other, but based on rotation properties). However, …
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rotating $\\triangle pqr$ by $180^{\\circ}$ clockwise about the origin,…
\(CP = CP'=\boldsymbol{2\sqrt{10}}\) units, \(CQ = CQ'=\boldsymbol{\sqrt{89}}\) units, \(CR = CR'=\boldsymbol{\sqrt{58}}\) units
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a triangle with vertices at a(20, -30), b(10, -15), and c(5, -20) has b…
$\frac{1}{5}$
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what is true about the dilation? pre - image image it has a scale facto…
It has a scale factor between zero and one and is a reduction.
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verbs (action verbs and linki action verbs and linking verbs an action …
s: 1. linking 2. action 3. action 4. linking 5. linking 6. linking 7. action 8. linking 9. linking 10. action
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recommending a scale factor for given shapes the smaller star has been …
2
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in the figure above, $rt = tu$. what is the value of $x$? a) 72 b) 66 c…
B) 66
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justifying the coordinates of a pre - image the segments shown are dila…
The coordinate (1, 0) is from a dilation using the scale factor of $\frac{1}{5}$.
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comparing coordinates to interpret a dilation study the image at the le…
(for the two parts): 1. Result of dilation: The figure is reduced (becomes smaller). 2. Scale factor: \( \boldsymbol{\frac{1}{2}} \) (or similar, depending on grid details). (Note…
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in the figure above, rt = tu. what is the value of x? a) 72 b) 66 c) 64…
C) 64
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activity 2 name date period what about the outputs? (continued) here is…
10: A graph (e.g., a rectangle with vertices at \((-3, 0)\), \((4, 0)\), \((4, 5)\), \((-3, 5)\) or a function like \(y=\frac{5}{7}(x + 3)\) for \(x\in[-3,4]\)) is sketched with \…
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figure g answer a rotation 90° counterclockwise about the origin a rota…
# Brief Explanations: First, identify key vertices of Figure G: let's take (0,0), (-5,4), (-2,5). For Figure F, the corresponding vertices are (0,0), (-5,-3), (-3,-5). Using the 9…
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the radius of a circle measures 12 yd. what is the circumference of the…
75.36 yd
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circle the linking verb in each sentence. underline the adjective or no…
### Sentence 2: Joe and his father are friendly. - **Linking Verb**: Circle "are" - **Adjective/Noun linked to subject**: Underline "friendly" - **Arrow**: Draw an arrow from "fri…
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \((-3, -6)\) Point in final figure: \((3, -2)\)
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(-4, -6)$ Point in final figure: $(2, -2)$
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a circle has a diameter of 30 mm. what is its circumference? use 3.14 f…
94.2 mm
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16. the first ferris wheel, designed by george ferris, was built in 189…
16. $\boldsymbol{1909.12}$ meters 17. $\boldsymbol{288.25}$ inches 18. $\boldsymbol{0.35}$ inches 19. $\boldsymbol{6.28}$ meters
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incorrect 1 try left try once more which of the following ordered pairs…
B. \((0,0)\), C. \((5,-2)\)
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graphing an enlargement with given scale factor scale factor = 2 pre - …
enlargement
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what are the corresponding parts of the figures below? select all that …
- Correct: \( \boldsymbol{\angle F \cong \angle W} \), \( \boldsymbol{\angle G \cong \angle Y} \), \( \boldsymbol{\overline{EF} \cong \overline{XW}} \) - Incorrect: \( \boldsymbol…
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answer a rotation ( 180^circ ) counterclockwise about the origin a tran…
A rotation $180^\circ$ counterclockwise about the origin
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graphing an enlargement with given scale factor scale factor = 2 pre - …
An enlarged square (or a dilated image of the pre - image square with scale factor 2) ### For the second question (What will be the new coordinate of the vertex at (3, 3) if the v…
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what are the corresponding parts of the figures below? select all that …
\(\angle O \cong \angle V\), \(\angle Q \cong \angle T\), \(\overline{OQ} \cong \overline{VT}\), \(\angle P \cong \angle U\) (all the given options are correct as explained above)
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graphing a reduction with given scale factor the triangle shown is a pr…
\((0, - 2.5)\) (corresponding to the option \((0, - 2.5)\))
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what are the corresponding parts of the figures below? select all that …
The correct options are: - \( \overline{JK} \cong \overline{UT} \) (since \( JK = UT = 20 \) km) - \( \angle L \cong \angle S \) (since \( \angle L=\angle S = 58^\circ \))
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calculating the scale factor of a reduction the ordered pair (-4, 4) is…
B. \(1/2\)
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what are the corresponding parts of the figures below? select all that …
Correct options: - \( \overline{LM} \cong \overline{SR} \) - \( \angle L \cong \angle S \) (So the initially checked wrong ones: \( \overline{NM} \cong \overline{RS} \) and \( \an…
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complete the congruence statement. edcb ≅ \\boxed{
\( IJGH \)
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write the coordinates of the vertices after a rotation 90° counterclock…
$N'(-0, -7)$, $L'(-3, -10)$, $M'(-9, -10)$
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put the shapes in the venn diagram. has exactly six vertices has at lea…
- Only "has exactly six vertices": Blue regular hexagon. - Only "has at least one right angle": Purple rectangle. - Overlap (both): Purple hexagon, Red hexagon. (Visually, place t…
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describing types of dilations there are distinct differences between an…
- **Enlargement (Scale Factor \( k > 1 \))**: The figure’s size increases (e.g., side lengths, radii) while shape (similarity) and orientation remain. Distances from the center of…
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the equation of line g is x - y = -7. line h, which is parallel to line…
\(y = x-8\)
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write the coordinates of the vertices after a rotation 180° countercloc…
$G'(-1, -9)$, $D'(-1, -6)$, $E'(-9, -6)$, $F'(-9, -9)$
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methods. point b has coordinate b(1, -1). what is the coordinate of b u…
B. (3, -3)
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the equation of line c is $y - 5 = \\frac{3}{5}(x - 7)$. parallel to li…
\(y=\frac{3}{5}x-\frac{8}{5}\)
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line s has an equation of $y = 8x + 7$. line t is perpendicular to line…
\( y = -\frac{1}{8}x - 3 \)
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find the perimeter. write your answer as a fraction or as a whole or mi…
\(4\frac{5}{6}\)
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find the perimeter. write your answer as a fraction or as a whole or mi…
\(8\frac{2}{5}\)
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find the perimeter. write your answer as a fraction or as a whole or mi…
\( 10\frac{9}{10} \)
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write the coordinates of the vertices after a rotation 90° counterclock…
The coordinates after rotation are: - \( S'(-1, -7) \) - \( T'(-10, -7) \) - \( U'(-10, -2) \) - \( V'(-1, -2) \)
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find the perimeter. write your answer as a fraction or as a whole or mi…
\( \frac{13}{9} \) (or \( 1\frac{4}{9} \))
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find the perimeter. write your answer as a fraction or as a whole or mi…
3
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using the graph, determine the equation of the axis of symmetry. two po…
\(x = - 3\)
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find the perimeter. write your answer as a fraction or as a whole or mi…
\(\frac{8}{15}\)
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find the perimeter. write your answer as a fraction or as a whole or mi…
\(\frac{4}{7}\)
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find the perimeter. write your answer as a fraction or as a whole or mi…
The perimeter of the triangle is \( \frac{2}{3}\text{cm} \).
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7.5 puzzle time what do you call a person who makes faces all day long?…
A (matches 486 in²) ### Problem 2: Cube with side 7 inches