Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the image of $\\triangle abc$ after a reflection across $\\overleftrigh…
D. \( \triangle BGC \) is right because \( \overleftrightarrow{EG} \perp \overline{CC'} \).
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find the measure of ∠b and ∠e in the similar triangles.
\( \angle B = 90^\circ \), \( \angle E = 37^\circ \)
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which statements must be true about the reflection of δxyz across \\ove…
The three correct options are: - \(m\angle X'Z'Y' = 90^{\circ}\) - \(m\angle MCY = 90^{\circ}\) - \(\overline{BZ'}\cong\overline{BZ}\) (Note: Depending on the exact diagram and pr…
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triangle abc has coordinates a (-1, 1), b (1, 1), and c (0, -1). triang…
D. \((-3, 3)\)
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question 6 are the two triangles abc and def shown in the figure simila…
Yes, the two triangles \( ABC \) and \( DEF \) are similar.
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the image of parallelogram pqrs after a reflection across \\overleftrig…
6
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a triangle of base 6 cm is enlarged to have a base of 9 cm. find the sc…
1.5
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what is the rule for the reflection? options: - $r_{x\\text{-axis}}(x, …
$r_{x\text{-axis}}(x, y) \to (x, -y)$
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the given two triangles are similar. if the sum of the measures of two …
\(85^\circ\) (the option with \(85^\circ\))
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a boy 165 cm tall casts a shadow of 110 cm. the lamp post casts a shado…
\( x = 607.5\) cm (the option: \( x = 607.5\) cm)
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what is the relationship between corresponding sides in two similar tri…
C. The sides are proportional
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figure abcdef was reflected across the line y = -x to create figure abc…
B. (4, 2)
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if two triangles are similar, then the ratios of their corresponding si…
C. equal (assuming the option with "equal" is labeled as such; if the options are numbered, e.g., the third option is "equal", then "The third option (equal)")
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a line segment has endpoints at (-4, -6) and (-6, 4). which reflection …
B. a reflection of the line segment across the y - axis
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which two statements belong in a definition of parallel lines? a. lines…
A. lines that are coplanar, B. lines that do not intersect
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what is the sum of the interior angles of an equilateral triangle? a. 6…
C. $180^\circ$
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which point would map onto itself after a reflection across the line $y…
\((4, -4)\) (assuming the last option is \((4, -4)\))
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the total area of two rectangles can be represented by the expression $…
d) \(5x^2 + 7x\)
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ab is parallel to de. find ab in the figure given below. e 80 cm d 10 c…
\( 240 \, \text{cm} \)
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the image of trapezoid pqrs after a reflection across line wy is trapez…
\( \overline{RR'} \parallel \overline{SS'} \) (the option with this statement)
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use medians and altitudes ★ i can use medians of triangles to solve pro…
s (Selected Problems Shown): 1. \(KM = \boldsymbol{2}\) 2. \(KQ = \boldsymbol{4}\) 3. \(LK = \boldsymbol{6}\) 4. \(LR = \boldsymbol{9}\) 5. \(NK = \boldsymbol{2}\) 6. \(PM = \bold…
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which is another way to name ∠ust? ○ ∠tsr ○ ∠tsu ○ ∠usr ○ ∠uts
\( \angle TSU \)
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question 6 points 4 write down the vertices of the dilation image of th…
The vertices of the dilation image are \(A'(0, 0)\), \(B'(0, 12)\), \(C'(12, 12)\), and \(D'(12, 0)\).
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which point is located on ray pq? point m point n point o point r
D. point R (Note: Assuming the options are labeled as A: point M, B: point N, C: point O, D: point R. If original labels differ, adjust, but based on analysis, point R is on ray \…
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by sandra cisneros (1) when i was living in an artists colony in the so…
C. The details of a person’s cultural heritage are more accurate than nationality alone.
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use the ruler to measure the length of \\(\\overline{rs}\\) to the near…
18
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the vertices of the square are (6, 6), (6, -6), (-6, -6), and (-6, 6). …
B. (18, 18), (18, -18), (-18, -18), and (-18, 18)
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question 4 triangles pqr and pst are similar to each other. find the sc…
3
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the following formula gives the area a of a rectangle with length l and…
The correct answer is the option with 45 (the last option: 45).
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which statement must be true about the diagram? point k is a midpoint o…
\(m\angle JKN = \frac{1}{2}m\angle JKM\) (the second option: \(m\angle JKN = \frac{1}{2}m\angle JKM\))
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what is the slope of the line graphed in this grid? options: $-\\frac{3…
\(\frac{2}{3}\) (the option with \(\frac{2}{3}\))
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in the diagram, m∠fli is 106°, m∠flg = (2x - 1)°, m∠glh = (x + 17)°, an…
29°
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write an inequality to represent the graph below.
\(y>3x + 1\)
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which defines a line segment? ○ two rays with a common endpoint ● a pie…
a piece of a line with two endpoints
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two triangles, △ abc and △ def, have corresponding angles that are equa…
C. Dilation with scale factor 2 centered at a point
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angle mon is a straight angle and overrightarrow{op} bisects angle moq.…
61° (the option with 61°)
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determine the scale factor from the following similar figures. original…
2.125 (corresponding to the option with 2.125)
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which of the following transformations is a dilation? ○ (x, y) → (x - 4…
\((x, y) \to (4x, 4y)\) (the fourth option: \(\boldsymbol{(x, y) \to (4x, 4y)}\))
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graph this inequality: y < 1 plot points on the boundary line. select t…
1. Draw a dotted horizontal line \( y = 1 \) (passing through \((x,1)\) for any \( x\)). 2. Shade the region below the line \( y = 1 \) (the area where \( y\) - coordinates are le…
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2. translate the parallelogram by the rule (x − 8, y − 4). then reflect…
Original Ordered Pairs: A = (2, 3) B = (7, 3) C = (6, 1) D = (1, 1) Translated Ordered Pairs: A' = (-6, -1) B' = (-1, -1) C' = (-2, -3) D' = (-7, -3) Reflected Ordered Pairs: A'' …
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3.04 translation practice assignment – geo a print this document and do…
Original Coordinates: A = \((-7, 3)\), B = \((-2, 3)\), C = \((-3, 1)\), D = \((-8, 1)\) After Translation: A' = \((-1, 1)\), B' = \((4, 1)\), C' = \((3, -1)\), D' = \((-2, -1)\) …
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3.04 translation practice assignment – geo a print this document and do…
# Explanation: ## Step1: Find Original Coordinates Identify coordinates of A, B, C, D from graph. A: \((-7, 3)\), B: \((-2, 3)\), C: \((-3, 1)\), D: \((-8, 1)\) ## Step2: Apply Tr…
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read from the ruler each of the dimensions labeled a to j. write your a…
A: 7 inches B: 5 inches C: 4 inches D: 2 inches (assuming starts at 2, ends at 4? No, 2 inches) E: 2 inches (starts at 3, ends at 5? 2 inches) F: 1 inch (starts at 4, ends at 5? 1…
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how tall is minh? 5 _______ feet how far away is the shadow from minh t…
Blank 3: 96 (Wait, no, the equation is 5/12 = x/84, so maybe the 84 ft is the statue's shadow. So Blank 3 is 84 + 12 = 96? No, I'm confused. Wait, let's re-express the diagram: - …
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question 10 10 pts g.gsr.6.1 (hc) find the values of x, y, and z. image…
A. \( x = 8, y = 8\sqrt{3}, z= 16 \) (where A is the first option: \( x = 8, y = 8\sqrt{3}, z= 16 \))
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multiple-choice question true or false: the point where the two lines i…
True
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question 9 10 pts g.gsr.6.1 (hc) a square floor tile has a diagonal tha…
B. \( 5\sqrt{2} \) inches
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question 8 10 pts g.gsr.6.1 (mc) find the value of x and y. image of a …
A. \(x = 8, y = 16\)
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find the values of x and y. x 60° 8√3 y x = 4, y = 4√3 x = 4√3, y = 12 …
\(x = 4\sqrt{3},y = 12\) (corresponding to the option \(x = 4\sqrt{3},y = 12\))
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the formula for finding the volume of a square pyramid is shown below, …
D. centimeters
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question 6 10 pts g.gsr.6.1 (mc) find the values of x and y. image of a…
A. \(x = 5, y = 5\sqrt{3}\)
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in \\( \\triangle lmn \\), \\( \\overline{ln} \\) is extended through p…
$\boldsymbol{10^{\circ}}$ (which corresponds to option D)
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select the correct answer from each drop - down menu. complete the stat…
- A function is considered \(\boldsymbol{\text{even}}\) if \( f(-x) = f(x) \), and it is considered \(\boldsymbol{\text{odd}}\) if \( f(-x) = -f(x) \). - When a graph is symmetric…
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triangles fgh and wxy are similar. how long is yw? a. 8 cm b. 6 cm c. 4…
C. 4 cm
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question 5 10 pts g.gsr.6.1 (mc) find the value of x. image of a right …
\(x = 11\) (corresponding to the option "x = 11")
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larger or smaller? triangle pqr is a dilation of triangle pqr using cen…
Smaller (corresponding to the option "Smaller")
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true or false: if a pair of numbers makes x + y = 1 true, it will be lo…
True
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question 4 10 pts g.gsr.6.1 (mc) find the value of x and y. image of a …
\(x = \sqrt{3}, y = \sqrt{6}\) (corresponding to the option: \(x = \sqrt{3}, y = \sqrt{6}\))
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question 3 10 pts g.gsr.6.1 (mc) find the value of x. image of a right …
\(x = 7\sqrt{2}\) (the option with \(x = 7\sqrt{2}\))
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1. find the area of the sector. 24.7 in² 13 in² 10.8 in² 37.7 in²
37.7 in²
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g.gsr.6.1 (lc) find the values of x and y. 6 60° x у 30° o x = 3√3, y =…
\(x = 6\sqrt{3}\), \(y = 12\) (corresponding to the option "x = 6√3, y = 12")
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question 1 10 pts g.gsr.6.1 (lc) find the value of x. image of a right …
\(x = 10\sqrt{2}\) (the option with \(x = 10\sqrt{2}\))
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which value of n makes the following equation true? $sqrt{n}=4$ options…
The value of \(n\) is 16, so the correct option is the one with 16 (the last circle with 16).
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in $\\triangle abc$, $m\\angle a = (3x + 1)\\degree$, $m\\angle b = (x …
\(x = 20\) (corresponding to option C)
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matching list question 3 listen consider the four triangles below. the …
To solve this, we analyze each triangle's angles (and sides, if applicable) to classify them (e.g., right, isosceles, equilateral, acute, obtuse) using the triangle angle - sum pr…
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what is the most accurate description of each of the triangles? - match…
Triangle A - b. equilateral Triangle B - a. isosceles Triangle C - c. scalene
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given: $overline{ad} cong overline{bd}$, $angle 1$ and $angle 2$ are ri…
Reflexive
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matching list question 2 listen consider the three triangles below. the…
To solve this, we analyze each triangle: ### Triangle A: - Two sides are marked equal (isosceles), and two base angles are marked equal. Also, the vertex angle appears obtuse (gre…
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complete the missing statements/reasons in the proof. given: ; ∠bac ≅ ∠…
1. Vertical Angles Theorem; 2. CPCTC
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select all scale factors that would dilate triangle qrs so that its ima…
0.5, 0.75, 1/3 (the checkboxes for 0.5, 0.75, and 1/3 should be selected)
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which shadow puppet set-up must have a scale factor of 3? * which shado…
A
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graph. x < 24 plot the endpoints. select an endpoint to change it from …
Para graficar \( x < 24 \) en la recta numérica: 1. El punto en 24 debe ser abierto (ya que \( x \) no incluye 24). Cambiamos el punto cerrado en 24 a abierto. 2. El rayo debe ext…
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complete the missing statements/reasons in the proof. given: \\(\\overl…
1. Alternate Interior Angles Theorem 2. Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
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the image of (2, 8) under a translation is (-3, 10). find the image of …
\((-8, 9)\)
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select all the lines that could be the image of line b after only a dil…
The lines that could be the image of line B after dilation are the ones parallel to B (same slope). From the diagram, these are line C (and potentially line E, but based on typica…
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slopes of non - parallel lines the graph shows four linear functions. -…
The solution for \(x\) when \(-\frac{2}{3}x=\frac{2}{3}x + 10\) is \(x =-\frac{15}{2}\) (or \(-7.5\)). The pattern for parallel lines is that parallel lines have equal slopes (e.g…
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slope can be expressed as each of the following except: \\( m = \\frac{…
\( m = \frac{x_2 - x_1}{y_2 - y_1} \) (the second option)
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5. select all the ordered pairs that are solutions to the system of ine…
B. (3, 1), C. (2, 5), D. (4, 2)
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victor has been instructed to stack boxes on a freight dock, arranged i…
25 boxes (corresponding to the option "25 boxes")
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g.gsr.3.4 (mc) we are given $\\angle bad \\cong \\angle dcb$, and $\\an…
The option stating that $BD\cong BD$ using the Reflexive Property (the first option among the given options, assuming the first option is about $BD\cong BD$).
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find the image of (9, -1) under the transformation of ( r_{90} circ t_{…
\boxed{(-2, 11)} (assuming translation \( T_{\langle 2,3 angle} \) and 90° counterclockwise rotation)
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4. which inequality when graphed with $x + y > 6$, has the solution sho…
A. \(7x - 8y\leq - 11\)
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g.gsr.3.4 (mc) triangle abc is an isosceles triangle where . also, . wh…
$\angle BAD \cong \angle CAD$ because they are corresponding angles.
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3 find the image of (9, -1) under the transformation of $r_{90} \\circ …
The problem is incomplete. Missing details: translation vector \( \langle a,b angle \) for \( T_{<a,b>} \) and definition of \( R_{m} \) (e.g., reflection over which line, rotatio…
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question 6 10 pts g.gsr.3.4 (mc) we are given and ∠bca ≅ ∠eda because t…
\(\boldsymbol{\angle BAC \cong \angle EAD}\) because they are vertical angles. (The option with this statement)
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■ $\\triangle jkl \\cong \\triangle rst$ ■ these two triangles are not …
Las frases/expresiones que indican congruencia de triángulos (y son verdaderas) son: $\triangle JKL \cong \triangle RST$ $\triangle ABC \cong \triangle XYZ$ $\text{You can map one…
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g.gsr.3.4 (mc) use the diagram to find the measure of ∠dce? what proper…
B. 58°; Vertical Angles Theorem (assuming the options are labeled as A, B, C, D with B being "58°; Vertical Angles Theorem")
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question 4 10 pts g.gsr.3.4 (mc) what can we prove to be true using the…
C. \( \angle ABC \cong \angle CBA \)
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11 circle with center y, radius yz = 21. line yb intersects the circle …
20
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2 find the following rotations of (-5, 6) a. $r_{90}$ b. $r_{-90}$ c. $…
A. \(R_{90^\circ}\): \(\boldsymbol{(-6, -5)}\) B. \(R_{-90^\circ}\): \(\boldsymbol{(6, 5)}\) C. \(R_{270^\circ}\): \(\boldsymbol{(6, 5)}\) D. \(R_{-270^\circ}\): \(\boldsymbol{(-6…
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which of the choices describes the given graph? a. function only b. rel…
B. relation only
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question 1 10 pts g.gsr.3.4 (lc) which answer choice best describes the…
D. If \( a = b \), then \( a \) and \( b \) can be used interchangeably in any statement.
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which of these choices describes the given graph? a. function only b. n…
C. relation only
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which of these choices describes the given graph? a. function only b. n…
C. relation only
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reading review art and nature use the march/april 2021 issue of scholas…
To answer these questions, you need to refer to the March/April 2021 issue of *Scholastic Art* (specifically the pages mentioned for each question) and analyze the content related…
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cam tries to find $3 \\times 105$. in which step does cam make the firs…
Step 1
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unlummun name: _______________ date: ____________ section: ____________…
1. C. Cholly had "put them outdoors." 2. A. Because she is very cute. 3. A. To find the beauty. 4. B. To feel and experience something loving. 5. A. Shirley Temple. 6. D. Because …
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the length of a path across a garden is 11 yards and 2 feet. what is th…
35
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1 find the following reflections of the point (2, -8) a. $r_{x-axis}$ b…
A. \( R_{x\text{-axis}} \): \(\boldsymbol{(2, 8)}\) B. \( R_{y\text{-axis}} \): \(\boldsymbol{(-2, -8)}\) C. \( R_{y = x} \): \(\boldsymbol{(-8, 2)}\) D. \( R_{y = -x} \): \(\bold…
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show all work needed to answer each question! good luck! 😊 1. which po…
D. F ### Question 2