Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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classify each transformation in terms of whether is changes size and/or…
Changes Size only: Dilation Changes Orientation only: Rotation, Reflection
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a cylinder with a radius of 4 cm and height of 8 cm has a surface area …
$24\pi$
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the 4 graphs show a system of 2 linear equations. which system has the …
B
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are these two triangles similar? if so why, make sure to explain your a…
The two triangles are similar. - **Similarity Statement**: $\boldsymbol{\triangle KLM \sim \triangle PQR}$ (or the appropriate vertex - matched statement based on side corresponde…
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question the point j is plotted on the coordinate grid below. plot the …
The reflected point $J'$ is at coordinates $(-2, 4)$ (plotted 2 units left of the y-axis, 4 units above the x-axis)
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fill in the blank and dropdown menus to form a true statement below. an…
The polygon above has 9 sides. It is an equilateral (but not equiangular)
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use the following inequality to answer #9-10. -2(4x - 5) ≥ 7x + 40 ques…
Question 9: $x \geq -2$ Question 10: There is a closed circle on the endpoint, and the graph is shaded to the right.
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color by number directions: solve each problem. remember to label your …
To solve these circle - related problems, we use the formulas for the circumference (\(C = \pi d\) or \(C = 2\pi r\)) and area (\(A=\pi r^{2}\)) of a circle, where \(d\) is the di…
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rico is building a corner shelf in the shape of a right triangle for hi…
38.4 inches (Option: 38.4 inches)
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given is the right triangle tuv with altitude uo. apply the pythagorean…
\(\boldsymbol{15}\) (corresponding to the option "15").
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(g) ∠15 and ∠12 alternate exterior alternate interior consecutive inter…
A. alternate exterior
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(d) ∠10 and ∠13 alternate exterior alternate interior consecutive inter…
none of these ### Part (e): ∠2 and ∠3
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what is the area of this figure? 15 in 9 in 5 in 4 in 19 in 7 in 6 in 3…
223 square inches
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what is the area of this figure? 11 cm 8 cm 4 cm 4 cm 18 cm 5 cm 6 cm 2…
214 square centimeters
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find the missing side lengths. leave your answers as radicals in simple…
1. A) $m=\frac{3\sqrt{2}}{2}, n=\frac{3\sqrt{2}}{2}$ 2. C) $u=\frac{4\sqrt{10}}{5}, v=\frac{4\sqrt{5}}{5}$ 3. A) $u=3, v=\frac{3\sqrt{2}}{2}$ 4. D) $a=5\sqrt{2}, b=5$ 5. A) $x=4\s…
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(d) ∠10 and ∠13 alternate exterior alternate interior consecutive inter…
corresponding (assuming the correct position of the angles in the diagram where they are in the same relative position with respect to the two lines and the transversal) Wait, no,…
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if the square-base pyramid were dilated using a scale factor of 4, what…
512 inches³ (The option corresponding to 512 inches³)
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(b) ∠5 and ∠7 (c) ∠11 and ∠8
vertical (the correct option is the one labeled "vertical" among the choices for part (b)) ### Part (c)
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the dimensions of a rectangular shipping crate are 2.5 ft., 2.5 ft., an…
\( 675 \text{ ft.}^3 \) (corresponding to the option "675 ft.³")
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classify each pair of angles as vertical, alternate interior, alternate…
Since the problem is about classifying angle pairs (but no specific angle pair is given), we can't proceed. However, if we assume a common pair, say ∠2 and ∠10: # Explanation: ## …
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solve for ( x ) and graph the solution on the number line below. ( -24 …
Inequality Notation: $x \leq 7$ or $x > 12$ For the number line: 1. Place a closed circle at 7 and shade all values to the left of 7. 2. Place an open circle at 12 and shade all v…
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if this rectangular prism is dilated by a scale factor of \\(\\frac{1}{…
\( 97.44 \, \text{cm}^2 \) (corresponding to the option: 97.44 \( \text{cm}^2 \))
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use addition and subtraction equations to solve problems math on the sp…
\( s = 17 \) ### Problem 2: Solve \( 35 = y - 6 \)
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a square has an area of 16 square units. jessica dilates the square usi…
4 square units (corresponding to the option: 4 square units)
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lewis draws a rectangle with dimensions 9 units by 5 units, then dilate…
9 times greater (corresponding to the option: 9 times greater)
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if $\\triangle xyz \\sim \\triangle rst$ and $rs = 9$, $xy = 12$, and $…
15 inches
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the missing statement is \\(\\frac{ij}{fh} = \\frac{1}{2}\\), and the m…
The missing statement is \(\boldsymbol{\frac{IJ}{FH}=\frac{2}{1} = 2}\), and the missing reason is "corresponding sides of similar triangles are proportional." (The option: The mi…
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triangle has the same area as 2 small triangles. whats the area of this…
9
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if $\\triangle xyz \\sim \\triangle ayb$, and $yz = 100$ cm, $ya = 12$ …
75 cm
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δmno has m∠m = 63 degrees and m∠o = 71 degrees. δrst has m∠r = 58 degre…
B. No, they are not similar. \( m\angle N = 46 \) degrees and \( m\angle S = 51 \) degrees.
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suppose a preimage is dilated by a scale factor of 3 and rotated (270^c…
A. Yes because dilations preserve angle measure, but not segment length.
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how are dilations of polygons using a scale factor not equal to 1 diffe…
D. They do not preserve distance between corresponding vertices.
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score on last try: 0 of 1 pt. see details for more. get a similar quest…
37 in
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find st. write your answer as an integer or as a decimal rounded to the…
$5.0$
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertically elongated oval shape passi…
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the figures below are similar. the labeled sides are corresponding. 4 c…
36
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the figures below are similar. the labeled sides are corresponding. 9 f…
10
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select the correct answer from each drop - down menu. point a is the ce…
The ratio of the lengths of **EF** to **AD** is 2:1.
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graph a right triangle with the two points forming the hypotenuse. usin…
$5\sqrt{2}$
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what is the length of the missing leg? if necessary, round to the neare…
$6.9$ meters
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explain why the triangles are similar. then find the distance represent…
D. There is a pair of congruent angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. $x = 15.75$ feet
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which rule explains why these triangles are congruent? options: sas, ss…
AAS
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consider the figure below. a) what is the exact perimeter of the figure…
The exact perimeter is \( \boldsymbol{92\pi + 184} \) inches (or \( \boldsymbol{92(\pi + 2)} \) inches, or simplified further as needed). ### Part (b)
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what is the perimeter of the figure below? you may round your answer to…
The perimeter of the figure is approximately $\boxed{185.66}$ feet.
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name: date: period: calculate the missing length of each triangle. roun…
15. \(x\approx1.68\) ft 16. \(x\approx10.39\) ft 17. \(x\approx41.12\) m (assuming 15 is opposite, \(x=\frac{15}{\tan(20^{\circ})}\approx41.12\)) 18. \(x\approx9.97\) yd (using \(…
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which point on the number line shows the position of \\(sqrt{66}\\)? po…
point D
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write the vector in component form.
$\langle -10, -4 angle$
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9 a flagpole casts a shadow 10 ft long. if a man 6 ft tall casts a shad…
15 ft
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(a) use the names of the sets to label the regions of the venn names of…
- Innermost circle: Whole numbers - Middle circle: Integers - Outermost rectangle: Rational numbers --- ### Part (b)
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solve the inequality and express the solution set solution set on the r…
The solution set is $x \leq \frac{12}{13}$. For the real number line: Place a filled (closed) circle at the point representing $\frac{12}{13}$, then draw a solid arrow extending t…
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for problems 1–10, the shapes are right prisms or right pyramids. “at a…
No, the cross section appears to be parallel to the bases, not perpendicular.
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what does the metaphor in this text suggest? conscience is a mans compa…
Your conscience guides you to act the right way.
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a. a wheelchair ramp with a length of 100 inches has a horizontal dista…
a. 28 inches b. No, this ramp does not satisfy the requirements, as the required horizontal run for a 28-inch vertical rise is 336 inches, which is much longer than the actual 96-…
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use the pythagorean theorem and the square root property to solve the f…
In simplified radical form, the pedestrian route is $9\sqrt{5}$ miles long. The decimal approximation to the nearest tenth is 20.1 miles.
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6. gabby is designing a quadrilateral on the coordinate plane. she know…
a) (1,3)
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for the points p and q, find the distance ( d(p,q) ). ( p(3, -2) ), ( q…
D. 5
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name: homework lesson 5.11 directions: now graph and label quadrilatera…
1. The graph has vertices $S(1, 0)$, $M(6, 7)$, $R(8, 1)$, $T(3, -6)$ connected in sequence to form quadrilateral $SMRT$. 2. Quadrilateral $SMRT$ is a parallelogram because both p…
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current skill write the domain as an inequality write the range as an i…
# Explanation: ## Step1: Determine the domain The domain of a graph is the set of all x - values for which the graph exists. Looking at the graph, the left - most point (the start…
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question 10 4.3 hw #2 mh $3y - 6 = 2x$ a) graph of a line b) graph of a…
A) [The graph with a positively sloped line passing through (-3, 0) and (0, 2)]
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label the parts of the graph. y - intercept x - intercept origin x - ax…
- Top green box: \( y \)-axis - Left green box: \( x \)-axis - Middle green box: origin - Right green box: \( x \)-intercept - Bottom green box: \( y \)-intercept
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the figures below are similar. the labeled sides are corresponding. 7.4…
22.2
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the figures below are similar. the labeled sides are corresponding. wha…
\( 2:1 \)
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the figures below are similar. the labeled sides are corresponding. 8 m…
\(24\)
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the figures below are similar. the labeled sides are corresponding. $p_…
18
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the figures below are similar. the labeled sides are corresponding. ima…
4
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the figures below are similar. the labeled sides are corresponding. 3 i…
\( 3:7 \)
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the figures below are similar. the labeled sides are corresponding. wha…
1:2
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the figures below are similar. the labeled sides are corresponding. wha…
9:4
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the figures below are similar. what is the ratio of the circumference o…
\( 2:1 \)
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the line ( y = -2x - 4 ) is graphed match each graph characteristic wit…
- Domain \(\longleftrightarrow\{x|x\in R\}\) - Range \(\longleftrightarrow[-4,0]\) - x - intercept \(\longleftrightarrow(-2,0)\) - y - intercept \(\longleftrightarrow(0,-4)\) - Th…
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the figures below are similar. what is the ratio of the area of the sma…
25:36
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the figures below are similar. the labeled sides are corresponding. $a_…
27
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the figures below are similar. the labeled sides are corresponding. 6 f…
9
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name: directions: now graph and label quadrilateral to prove that it is…
1. The graphed quadrilateral has vertices $M(-5, 6)$, $A(6, 6)$, $T(8, -3)$, $H(-3, -3)$ connected in sequence, with $MA$ and $TH$ as horizontal top/bottom sides, and $AT$ and $HM…
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in exercises 9 and 10, use the given information to write the standard …
9. $\boldsymbol{x^2+y^2=25}$ 10. $\boldsymbol{(x-3)^2+(y+2)^2=841}$ 11. The point $(-3,3)$ does NOT lie on the circle centered at the origin with radius 4. 12. Radius: $\boldsymbo…
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in exercises 9 and 10, use the given information to write the standard …
9. $x^2+y^2=25$ 10. $(x-3)^2+(y+2)^2=841$ 11. The point $(-3,3)$ does not lie on the circle, since $(-3)^2+3^2=18 eq16$. 12. Radius $r=5$; circle equation: $(x+2)^2+(y+5)^2=25$
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which formula can be used to find the volume, v, of the composite solid…
C. $V = \pi r^2 h + \frac{2}{3}\pi r^3$
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drag the tiles to the correct boxes to complete the pairs. not all tile…
1. Rectangular prism (8, 8, 9) ↔ Rectangular prism (18, 6, 6) 2. Cylinder (r=4, h=12) ↔ Rectangular prism (16, 6, 6) 3. Cone (r=6, h=8) ↔ Cylinder (r=3, h=8)
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find the perimeter and area of the rectangle of cardboard shown below. …
Perimeter: $63\ \text{cm}$ Area: $236.16\ \text{cm}^2$
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welcome to geometry honors. please complete this find the distance betw…
\(\sqrt{122}\) ### Problem 3: Distance between \((2,7)\) and \((8,7)\)
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question 1 find the perimeter and area of a rectangle of cardboard meas…
Perimeter: $72.6$ cm Area: $329.12$ cm²
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the equation of a circle is given below. identify the center and the ra…
Center: $(2, 0)$ Radius: $5$ To graph the circle: 1. Plot the center point at $(2, 0)$ on the coordinate grid. 2. From the center, count 5 units up, down, left, and right to plot …
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find the distance between each pair of points. 1) (-5, -7), (-4, 4) 2) …
s: 1) \(\sqrt{122}\) 2) \(5\)
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graph a right triangle with the two points forming the hypotenuse. usin…
$\sqrt{145}$
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name: period: equation of the circle hw in exercises 1–4, write the sta…
## Exercises 1-4 1. $x^2 + y^2 = 64$ 2. $x^2 + (y-5)^2 = 4$ 3. $(x-10)^2 + (y-5)^2 = 3$ 4. $(x+3)^2 + (y-2)^2 = 10$ ## Exercise 5 A. $(x+4)^2 + (y+4)^2 = 4$ B. $(x+1)^2 + (y-2)^2 …
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(3\) Center: \((2,1)\)
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solving applications using the pythagorean theorem susan wants to purch…
1. The height of the TV is $\boldsymbol{21.69}$ inches. 2. Yes, the TV will fit in her entertainment center.
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finding a missing side using the pythagorean theorem use the diagrams t…
Figure A: $3.3$ Figure D: $11.97$
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finding a missing side using the pythagorean theorem use the diagrams t…
Figure A: $5.7$ Figure D: $9.78$ (or $9.784$ for exact value)
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in the right triangle abc (right - angled at c), the length of ab is 25…
$7$ in
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question 12 calculate the missing value. 41 in 9 in a c b b = question …
40 in
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calculate the missing value. c 8 in a 15 in c c = question help: messag…
17 in
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the expression for the area of the rectangle is: the dimensions of the …
The dimensions of the rectangle are: length = $10x$ width = $4x$ The expression for the area of the rectangle is: $40x^2$ The expression for the perimeter of the rectangle is: $28…
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20. what is the area of the rectangle below? 4x - 5 2x + 7 21. a rectan…
1. For question 20: $8x^2 + 18x - 35$ 2. For question 21: $3x^2y^2$
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7. reinforce what are the dimensions and the area of the rectangle that…
1. For the kite: - Dimensions: $\frac{7}{2}$ inches by $\frac{7}{2}$ inches (or 3.5 in by 3.5 in) - Area: 24.5 square inches 2. For the trapezoid: - Dimensions: 9 cm by 4 cm - Are…
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the figures below are similar. the labeled sides are corresponding. 4.6…
\( 27.6 \)
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graph 0.5 on the number line. -1 0 1 submit
To graph 0.5 on the number line, locate the midpoint between 0 and 1 (since 0.5 is halfway between 0 and 1) and place a mark (dot) at that position. On the given number line, this…
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the figures below are similar. the labeled sides are corresponding. 2 m…
5
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the figures below are similar. the labeled sides are corresponding. 2 i…
56
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triangle big is similar to triangle mop. find the value for ( v ). figu…
32 m