Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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graph the solution to the inequality on the number line. |v| > 4
Open circle at \( -4 \) and shade to the left; open circle at \( 4 \) and shade to the right.
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what is the value of d? 58° d submit
\( 122 \)
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in the diagram, \\(\\overline{bc} \\cong \\overline{ef}\\) and \\(\\ang…
\( x = 8 \) (so the value of \( x \) is 8, corresponding to the option with 8)
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the measure of an angle is 156°. what is the measure of its supplementa…
\(24\)
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using the sss congruence theorem triangle def and triangle dgf are show…
\(\overline{DE}\cong\overline{DG}\) (the option with the text \(\overline{DE}\cong\overline{DG}\))
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1. a right triangle is shown below. calculate the area, in square feet,…
275 square feet ### Second Problem (Isosceles Trapezoid Area)
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8. three side lengths of a triangle are shown. 9, 12, and 15 complete t…
A triangle formed with side lengths 9, 12, and 15 is a right triangle. Its hypotenuse is 15.
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given: p is equidistant from the endpoints of \\(\\overline{ab}\\). pro…
1. For \( \overline{PA} \cong \overline{PB} \): congruent segments 2. For right angles: perpendicular lines 3. For \( \overline{PC} \cong \overline{PC} \): Reflexive Property of C…
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determining if triangles are congruent could these triangles be congrue…
yes, if \( \overline{AB}\cong\overline{EF} \) (the option with "yes, if \( \overline{AB}\cong\overline{EF} \)")
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graph the line with slope 3 passing through the point (-3, 3).
The line is graphed by plotting \((-3, 3)\), using the slope \(3\) to find other points (e.g., \((-2, 6)\), \((-4, 0)\)), and drawing a straight line through them.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by \(\boldsymbol{\text{Side - Angle - Side (SAS)}}\), so the triangles \(\boldsymbol{\text{can be proven congruent}}\) (assuming the other side and a…
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which rigid transformation would map △mzk to △ qzk? a rotation about po…
C. a reflection across the line containing \( \overline{ZK} \)
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uw || rt. complete the proof that ∠uvx ≅ ∠qst. statement: 1. uw || rt 2…
To complete the proof: - Reason for Statement 1 (\(\overleftrightarrow{UW} \parallel \overleftrightarrow{RT}\)): Given (not in the reason choices, as it's the premise). - Reason f…
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a boat is heading towards a lighthouse, whose beacon - light is 143 fee…
\( 823.2 \) feet
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proving congruent triangles using transformations determine the rigid t…
Translate vertex X to vertex A; rotate \( \triangle XYZ \) to align the sides and angles. (The fourth option: "Translate vertex X to vertex A; rotate \( \triangle XYZ \) to align …
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what additional information would you need to conclude that \\overleftr…
We need to know that \( AB = BC \) (or that \( B \) is the midpoint of \( \overline{AC} \)), meaning \( DE \) divides \( \overline{AC} \) into two equal segments (along with being…
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choose the correct answer for each row choose the statements that match…
- "Fate is determined by predestination": John Calvin (select the circle under John Calvin) - "People find truth through faith and scientific reason": Thomas Aquinas (select the c…
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3. what is the complement of ∠a if m∠a = 63°? 27° 126° 117° 63°
\(27^\circ\) (corresponding to the first option, e.g., A. \(27^\circ\) if options were labeled A - D)
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wx || su, complete the proof that m∠tmx + m∠utw = 180°. image of a diag…
To complete the proof, the reasons are: 1. **Reason for Statement 1**: Given 2. **Reason for Statement 2**: Corresponding Angles Theorem 3. **Reason for Statement 3**: Angles form…
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proving triangle congruence given: ∠lno ≅ ∠lnm ∠oln ≅ ∠mln prove: △lno …
First blank: $\angle LNM$; Second blank: $\angle MLN$; Third blank: Reflexive Property; Fourth blank: ASA
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2. solve for x. 114° 15x - 6
\(x = 8\)
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solve for y. (there is a diagram with lines r, s (parallel), and transv…
\( y = 8 \)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Angle - Angle - Side (AAS), so the triangles can be proven congruent (assuming the second dropdown has an option like "can be proven congruent"; f…
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find x. 15 cm x 12 cm x = centimeters submit
\(9\)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Angle - Angle - Side (AAS), so the triangles can be proven congruent by AAS. (So the first dropdown: Angle - Angle - Side (AAS), and the second pa…
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4. what is the distance between the points h(-5,9) and j(1,6)? 8.2 16.1…
6.7 (corresponding to the option with 6.7)
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$\\angle tmx \\cong \\angle stw$. complete the proof that $\\overleftri…
To complete the proof: - Statement 1: Reason = Given - Statement 2: Reason = Vertical Angles Theorem (or "Definition of congruence" if forced, but more accurately Vertical Angles …
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2. in which of the following situations would it be appropriate to use …
The option "To hang a lamp in the center of a room" (the third option from the left, or the one with the text "To hang a lamp in the center of a room")
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the graph of a line is shown below. which three of the following statem…
The true statements are: "The constant of proportionality is \(\frac{1}{2}\)", "The line may be a \(k\)-value (with \(k = \frac{1}{2}\))", "The line represents a direct variation …
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lines in the coordinate plane quiz geometry a 18 (ahhs) / angles and li…
\( P_1 = (-3, -1) \) and \( P_2 = (4, 3) \)
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graph the line with slope \\(\\frac{2}{3}\\) passing through the point …
To graph the line: 1. Plot the point \((-2,3)\). 2. Use the slope \(\frac{2}{3}\) to find additional points (e.g., \((1,5)\) by moving 3 right and 2 up from \((-2,3)\) or \((-5,1)…
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determine the relationship between the two triangles and whether or not…
The two triangles are related by a rotation (or a rigid transformation), so the triangles are congruent. (Note: Depending on the exact markings, the transformation could be rotati…
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1. circle the best answer: use pascals triangle to write the binomial e…
e. \(1s^{3}+3s^{2}t^{1}+3st^{2}+1t^{3}\)
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find an equation for the line that passes through the points (5, -3) an…
One possible equation is \( y = -\frac{1}{3}x-\frac{4}{3} \) (or in standard form \( x + 3y=-4 \))
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analyzing diagrams can you conclude that triangle ghf is congruent to t…
A. yes, by ASA
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ctions final exam study by december 18, 2025 you want to pass 17. -4)=(…
17. SSS 18. SAS 19. ASA
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unit 5 test day 1 name: 1. circle the best answer: use pascals triangle…
e. \(1s^{3}+3s^{2}t^{1}+3st^{2}+1t^{3}\) ### Question 2
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16. given the points below, which of the following transformations maps…
A. \(270^\circ\) counterclockwise rotation about the origin
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practice using asa and aas congruence theorems. what additional informa…
$\boldsymbol{\angle Z\cong\angle G}$ and $\boldsymbol{\overline{XZ}\cong\overline{FG}}$ (the first option)
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60 use special right triangles to find the values of a, b, and c. 18√2 …
# Explanation: ## Step1: Find \( a \) using 45-45-90 triangle In a 45-45-90 triangle, the legs are equal, and the hypotenuse is \( \text{leg} \times \sqrt{2} \). Let the leg (heig…
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what is the area of the parallelogram? 5 in. 3 in. 8 in. square inches …
24
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find m∠t. write your answer as an integer or as a decimal rounded to th…
\( 59.4 \) (The answer may vary slightly depending on the calculator's precision, but approximately \( 59.4^{\circ} \) when rounded to the nearest tenth)
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there is a coordinate grid with x - axis (vertical, labeled from 0 to 1…
\( (8,8) \)
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find ( mangle d ). triangle with right angle at c, side dc = 7.2, hypot…
\( 36.9 \)
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write an equation of the line below.
\(y = 4x-1\)
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uw || rt. complete the proof that m∠qsr + m∠uvx = 180°. statement: 1 uw…
| Statement | Reason | | --- | --- | | 1. \(\overleftrightarrow{UW} \parallel \overleftrightarrow{RT}\) | Given | | 2. \(\angle UVX \cong \angle RSV\) | Corresponding Angles Postu…
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find m∠e. write your answer as an integer or as a decimal rounded to th…
\( 33.8 \)
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16. given the points below, which of the following transformations maps…
A. \(270^\circ\) counterclockwise rotation about the origin
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59 two part question: (a) choose the function you would use to solve: a…
C. tangent ### Part (b) Assuming this is a right - triangle problem where we use the tangent function (from part (a)) and let's assume the angle is, for example, $\theta$ and we h…
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graph the line with the equation $y = \\frac{6}{5}x - 2$.
The line is graphed using its slope and y-intercept.
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find ( mangle i ). triangle with vertices h, g, i. right angle at g. si…
\( 27.1 \)
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graph the line with y-intercept 3 and slope \\(\\frac{2}{3}\\).
The line is graphed by first plotting \((0,3)\), then using the slope \(\frac{2}{3}\) to find additional points (e.g., \((3,5)\), \((-3,1)\)) and drawing a straight line through t…
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18. one way in which the writers of the renaissance were influenced by …
D. emphasized the power of human reason (assuming the last option is D; if options are labeled with circles, the correct one is the last option with text "emphasized the power of …
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use the diagram to answer the questions on the right: triangle with ver…
\( x = \frac{11}{2} \) (or \( 5.5 \))
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congruence theorems given: ∠fhg and ∠kjg are right angles; fh ≅ kj prov…
The triangles are congruent by the AAS (Angle - Angle - Side) congruence theorem.
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find the slope from the pair of points 1) (-5,-4) (5,4) slope = ______ …
1) \(\frac{4}{5}\) 2) \(\frac{2}{3}\) 3) \(5\) 4) \(\frac{7}{10}\) 5) \(-2\) 6) \(\frac{3}{4}\) 7) \(-\frac{5}{2}\) 8) \(-1\) 9) \(\frac{3}{5}\) 10) \(3\)
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using congruence theorems given: ∠fhg and ∠kjg are right angles; fh ≅ k…
vertical
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58 what is the value of $\\theta$? (show all work on paper): right tria…
B. \( 44.4^\circ \)
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y = 3x + 4 option 1 option 2 option 3 option 4
Option 3
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using congruence theorems given: ∠fhg and ∠kjg are right angles; fh ≅ k…
all right angles are congruent
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find ( mangle k ). triangle image with right angle at i, side ki = 9.4,…
\( 27.6 \)
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find m∠s. q 3.2 r 7.9 s write your answer as an integer or as a decimal…
\( 22.0 \)
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57 which equation is correct? (a) triangle image with labels: hypotenus…
A. \(\sin(26)=\frac{x}{14}\) ### Part (b)
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question 11 a blueprint uses a scale of 1 cm=2.5 ft. if a room measures…
17 ft
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y = -\\frac{1}{2}x + 3 option 1 option 2
Option 2
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find $m\\angle b$. triangle with right angle at c, cd=3.9, cb=7.5 write…
\( 27.5 \)
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find ( mangle f ). triangle image with right angle at e, ed = 7.7, fd =…
\( 59.9 \)
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57 which equation is correct? (a) right triangle with right angle at b,…
A. \(\sin(26)=\frac{x}{14}\)
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2. the pythagorean theorem can be proven using areas of squares built o…
s: 1. The triangle with sides 6 cm, 8 cm, 10 cm is a right triangle. 2. The triangle with sides 7 m, 24 m, 25 m is a right triangle. 3. The length of the other leg is 12 units. 4.…
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s6 what is the height of the tree? (show all work on paper); a 32.91 b …
A. 32.91
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y = -\\frac{3}{3}x - 2 (with four graph options: option 1, option 2, op…
Option 2
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question determine whether the following graph represents a function. a…
Not a Function
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y = \\frac{3}{4}x - 5 option 1 option 2
Option 1
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s4 match each trigonometry function with its ratio: sine cosine tangent…
- sine: $\frac{\text{opposite}}{\text{hypotenuse}}$ - cosine: $\frac{\text{adjacent}}{\text{hypotenuse}}$ - tangent: $\frac{\text{opposite}}{\text{adjacent}}$
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y = x - 4 option 1 option 2
Option 1
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n properties & proofs help pls (diagram with angles and lines: t, u, m,…
# Explanation: ## Step1: Find ∠1 ∠1 and 52° are supplementary (linear pair), so \( \angle 1 = 180^\circ - 52^\circ = 128^\circ \). ## Step2: Find ∠2 ∠2 and 44° are supplementary (…
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a boat is heading towards a lighthouse, whose beacon - light is 107 fee…
\( 672 \)
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in △xyz, xy = 13√2 m and yz = 5√2 m. which lengths are possible for xz?…
A. 11.5 m, B. 13 m, C. 18.5 m
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which two triangles are congruent by the sas theorem? complete the cong…
\( \triangle RST\cong\triangle DFE \) (or if the third triangle is labeled as \( \triangle DEF \), then \( \triangle RST\cong\triangle DEF \); but based on the markings, the corre…
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directions - match each diagram with its correct term: drag & drop the …
1. First diagram: Secant 2. Second diagram: Radius 3. Third diagram: Tangent 4. Fourth diagram: Diameter 5. Fifth diagram: Chord
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in $\\triangle xyz$, $\\angle x \\cong \\angle y$ and $\\angle z$ is 4 …
C. \( 120^\circ \)
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52 part a which of the following is closest to the circumference, in me…
B. 37.7 ### Part B
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which two triangles are congruent by the sss theorem? complete the cong…
\( \triangle RPQ \cong \triangle IJK \) (So the first blank is \( RPQ \), the second blank is \( IJK \))
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carmen drew the blue figure. carmen performed two transformations on th…
The option: "a translation of 5 units right and 1 unit down followed by a reflection across the x - axis" (the third option in the grid, bottom left)
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this question has two parts. circles a circle has a radius of 6 meters,…
B. 37.7 ### Part B
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reminder: 6 iready’s are due on the last day of the month! - packet is …
The equation of the Pythagorean Theorem is \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the lengths of the legs of the right triangle, and \(c\) is the length of the hypotenus…
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using angle-angle-side congruence theorem what additional information c…
The correct options are: - $EG = 12$ and $E'G' = 12$ - $FG = 15$ and $F'G' = 15$ - $\overline{EG}\cong\overline{E'G'}$
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s1 p.7 central angles and inscribed angles #4 what is the measure, in d…
280
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ing transformations japal drew a triangle that had vertices with coordi…
\((1, 2)\), \((4, 2)\), and \((1, 4)\) (the third option in the given set of options)
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write a congruence statement and give a reason why the triangles are co…
B. $\triangle MNQ\cong\triangle \square$ SAS
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graph the line. $y = -\\frac{1}{5}x + 6$
To graph the line \(y =-\frac{1}{5}x+6\): 1. Plot the y - intercept \((0,6)\) (already plotted in the given graph). 2. Use the slope \(m =-\frac{1}{5}\) to find another point. For…
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proving triangle congruence is there a rigid transformation that would …
Yes (A rigid transformation like a \( 180^\circ \) rotation about point \( C \) can map \( \triangle ABC \) to \( \triangle DEC \) as corresponding sides and angles are congruent,…
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50 angle y is inscribed in the circle below. the measure of arc xz is 2…
\(77.5^\circ\)
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help draw the figure that’s shown. help rotate the figure 90 degrees co…
\( (-1,5) \) (assuming the option with \( (-1,5) \) is the correct one, likely option B if the options are labeled as such)
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graph the line. $y = -\\frac{1}{5}x + 6$
To graph \(y =-\frac{1}{5}x + 6\): 1. Plot the y - intercept \((0,6)\) (already plotted in the given graph). 2. Use the slope \(m =-\frac{1}{5}\): From \((0,6)\), move 5 units rig…
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which series of transformations occurred to move the l shape in quadran…
The option "a reflection and then a 180 - degree rotation about the origin" (the third option in the grid, assuming the options are arranged as: top - left: 90° counterclockwise a…
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4. think about a plan you have a rectangular koi pond that measures 6 f…
2 ft (6 + 2w) ft by (8 + 2w) ft 1. (6 + 2w)(8 + 2w) 2. 48 + 72
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50 angle y is inscribed in the circle below. the measure of arc xz is 2…
\( 77.5 \)
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question what is the equation of the line that passes through the point…
La ecuación de la recta en forma pendiente - intersección es $y =-\frac{5}{2}x - 7$ y en forma estándar es $5x + 2y=-14$ (se puede presentar cualquiera de las dos, pero la más com…
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49 angle abc is inscribed in a circle as shown. what is the measure, in…
60