幾何
三角形、圓、解析幾何與證明題。
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inequalities in two triangles find the range of values for x. (2x - 12)…
30 < x < 102
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3 select the correct image. which figure will rotate onto itself in 45°…
The figure with 8 sides (regular octagon, e.g., the third figure in the top row or the appropriate octagonal figure)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by \(\boldsymbol{\text{rotation}}\), so the triangles \(\boldsymbol{\text{are congruent}}\).
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which transformation will preserve the size and orientation of its prei…
A. \((x, y) \to (x + 3, y + 1)\)
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6. name each angle pair as corresponding, alternate interior, alternate…
# Explanation: ## Step1: Analyze ∠4 and ∠10 ∠4 is on line \( k \), ∠10 is on line \( k \) and \( l \). Wait, no, transversal is the line cutting two lines. Lines \( j \) and \( k …
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given: ∠tuw ≅ ∠srw; \\overline{rs} ≅ \\overline{tu} prove: ∠rst ≅ ∠uts …
First box: SSS (or Side - Side - Side) Second box: CPCTC (or Corresponding Parts of Congruent Triangles are Congruent)
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given: \\(\\overline{ab} \\cong \\overline{ae}; \\overline{bc} \\cong \…
First blank: SAS (Side - Angle - Side) Second blank: \( \overline{AD} \) (or \( AD \))
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figure 1 and figure 2 below are congruent. which point corresponds to p…
Point B (in Figure 1)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by a rotation (a rigid transformation), so the triangles are congruent.
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15. in exercises 15 and 16, tell whether the information in the diagram…
### Problem 15: # Explanation: ## Step1: Identify Given Information We have \( EH \) as a segment, \( EG \) and \( EF \) with perpendiculars (right angles) from \( H \) to \( EG \…
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30). neatly label the remaining 10 colors on the color wheel in the cor…
C. Analogous
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analyzing triangle relationships which congruency theorem can be used t…
AAS
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analyzing triangle relationships in the figure below, \\(\\overline{wu}…
The congruency theorem is Hypotenuse-Leg (HL). So the answer is HL (or Hypotenuse-Leg).
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12) a) aas not congruent b) sss d) asa
C. Not congruent
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part 3: calculating perimeter of polygons and classifying find the peri…
Perimeter: \( 16\sqrt{2} \) (or ≈22.63) Slope of \( PQ = 1 \), Slope of \( SR = 1 \), Slope of \( PS = -1 \), Slope of \( QR = -1 \) Relationship: \( PQ \parallel SR \), \( PS \pa…
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multiple choice (50 points). circle the best answer. 1. which of the fo…
b. Revelation ### Question 2
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name the postulate, if possible, that makes the triangles congruent. no…
To determine the congruence postulate, we analyze the marked sides and angles: 1. **Identify Marked Parts**: - Triangle \( ABC \) (left) and triangle \( DEF \) (right) have: - One…
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\frac{1}{2}\)
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name the postulate, if possible, that makes the triangles congru option…
SSS (The postulate is SSS, so the correct option is the one labeled "SSS" – assuming the options are "Not Possible", "ASA", "SAS", "SSS", so the answer is the option with "SSS".)
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question drag the red and blue dots along the x-axis and y-axis to grap…
Red dot: \( (9, 0) \) (x-axis, x=9), Blue dot: \( (0, 9) \) (y-axis, y=9)
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3) two triangles with congruency marks a) not congruent b) asa c) sss d…
C) SSS
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drag the red and blue dots along the x-axis and y-axis to graph $-6x + …
Red dot: \( (-4, 0) \) (x=-4 on x-axis), Blue dot: \( (0, 6) \) (y=6 on y-axis)
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which of the following equations does the graph below represent? graph …
The equation of the line is \(y=-x + 5\) (or equivalent forms like \(x + y = 5\))
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there is a coordinate grid with x - axis from - 10 to 10 and y - axis f…
To shade the region for \( y < -2 \), shade the area below the horizontal dashed line \( y = - 2 \). To shade the region for \( y > 10x - 9 \), shade the area above the dashed lin…
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question which of the following graphs represents the equation $8x + 2y…
The graph that represents the equation \(8x + 2y = 16\) is Graph A.
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why is determining excessive entanglement between church and state diff…
C. Because 'excessive' is a subjective term
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which of the following equations does the graph below represent? (graph…
The equation is \( y = -8x + 8 \) (assuming the options include this; if options were given, we'd match, but based on the graph, this is the derived equation).
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course government and politics multiple choice why is determining exces…
Because ‘excessive’ is a subjective term (the third option)
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5 in △cde, u is the centroid, uk = 12, em = 21, and ud = 9. find mu. yo…
### Sub - Question 5 (Find \( MU \)) # Explanation: ## Step 1: Recall centroid property The centroid of a triangle divides each median into a ratio of \( 2:1 \), with the longer s…
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which of the following equations does the graph below represent? graph …
Assuming the options are related to linear equations, the equation of the line is \(y=-8x + 8\) (if we consider the slope and y - intercept we calculated). But since the problem i…
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find the y-intercept of each line defined below and compare their value…
The \(y\) - intercept of Line A is \(-2\) and the \(y\) - intercept of Line B is \(2\). Therefore the \(y\) - intercept of Line A is less than the \(y\) - intercept of Line B.
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which excerpt from \man listening to disc\ best supports the idea that …
the only true point of view, is full of the hope that he, the hub of the cosmos
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equation of line a: $y = 6x - 6$ select values from line b: | $x$ | $y$…
The slope of Line A is \(\boldsymbol{6}\) and the slope of Line B is \(\boldsymbol{-1}\). Therefore the slope of Line A is \(\boldsymbol{\text{greater than}}\) the slope of Line B.
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multiple choice why did the supreme court find the rhode island law unc…
C. It involved excessive entanglement between church and state
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there are two triangles. the left triangle is kjl with right angle at j…
\( m\angle J > m\angle P \) (so the correct relation is \( > \))
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write the equation of the line in fully simplified slope-intercept form.
\( y = \frac{1}{5}x + 2 \)
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c 24 mm 7 mm what is the perimeter? if necessary, round to the nearest …
56
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there is a triangle abd with ab=7, ad=5, and a triangle cbd with cb=7, …
For $m\angle ABD$ and $m\angle CBD$: $m\angle ABD > m\angle CBD$ For $EG$ and $XZ$: $EG > XZ$
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what is the length of the hypotenuse? if necessary, round to the neares…
\( 7.0 \)
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triangle jkl with vertex k, and m on jl. jk and lk are marked congruent…
\(m\angle JKM>m\angle LKM\) (So the correct relation is \(>\))
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what is the length of the hypotenuse? if necessary, round to the neares…
\( 5.5 \)
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given ( l parallel m ), prove the sum of the angles in a triangle is ( …
The correct option is "Alternate interior angles are congruent" (assuming the first option is labeled as such, e.g., if the options are labeled A - D: A. Alternate interior angles…
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find the perimeter and area of the rectangle with vertices (5, 2), (-4,…
Perimeter: \( 28 \) units Area: \( 45 \) square units
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compare the given measures by choosing <, >, or =. if there is not enou…
For \( |WX| \) and \( |WZ| \): \( = \) For \( m\angle T \) and \( m\angle E \): \( > \)
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what is the length of the missing leg? if necessary, round to the neare…
\(2.9\)
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find vw. vw = submit
$\frac{50}{3}$
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8 yd. 3 yd. b what is the perimeter? if necessary, round to the nearest…
18.4
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find: cos a the figure is not drawn to scale. triangle with right angle…
$\frac{30}{50}$ (matching the option with 30/50)
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what is the length of the hypotenuse? if necessary, round to the neares…
\( 5.8 \)
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find: the figure is not drawn to scale. answer $\frac{24}{30}$ $\frac{1…
$\frac{18}{24}$ (the fourth option, which is $\frac{18}{24}$)
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Question was provided via image upload.
28
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find: tan a the figure is not drawn to scale. answer \\frac{54}{72} \\f…
$\frac{72}{54}$ (or the option with $\frac{72}{54}$)
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9 km3 kmbwhat is the length of the missing leg? if necessary, round to …
\( 8.5 \)
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in exercises 7–10, tell whether the information in the diagram allows y…
s: ### Problem 7 Yes, point \( P \) lies on the perpendicular bisector of \( \overline{LM} \). The line containing \( P \) is perpendicular to \( \overline{LM} \) (or the relevant…
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10 cm 9 cm b what is the perimeter? if necessary, round to the nearest …
23.4
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the figure is not drawn to scale. right triangle with legs 36 (side a) …
\(\frac{36}{60}\) (the first option among the given options)
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there are two geometry problems with images. the first problem involves…
\(m\angle ABD < m\angle CBD\)
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find gh. gh = submit
20
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what is the length of the hypotenuse? if necessary, round to the neares…
60
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what is the length of the missing leg? if necessary, round to the neare…
\(b = 63\) feet
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equation of line a: x + 3y = 3 select values from line b: x | y -3 | -4…
The slope of Line A is \(-\frac{1}{3}\) and the slope of Line B is \(4\). Therefore the slope of Line A is less than the slope of Line B.
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if there is no triangle information, what... if necessary, you may know…
For the first comparison (WX vs WZ): \( WX > WZ \) (by Hinge Theorem, included angle \( 91^\circ > 16^\circ \), \( XY = ZY \), \( WY \) common). For the second comparison (m∠T vs …
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y = -x + 1 graph of line b: the x-intercept of line a is and the x-inte…
The \( x \)-intercept of Line A is \( 1 \) and the \( x \)-intercept of Line B is \( -5 \).
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question find the y-intercept of each line defined below and compare th…
The y-intercept of Line A is \(-2\), the y-intercept of Line B is \(-6\), and the y-intercept of Line A is greater than the y-intercept of Line B.
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question 13 of 15 (1 point) | question attempt: 1 of unlimited m∠deg < …
\( PR < XY \) (so the correct symbol is \( < \))
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$\\overline{xy} \\parallel \\overline{wz}$. find $vy$. diagram with tri…
\( \boxed{56} \)
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the right rectangular prism shown is filled with unit cubes. $v = l \\t…
D. \( 4 \times 4 \times 8 \)
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if necessary, you may learn what the markings on a figure indicate. (fi…
First comparison: $BC = UV$; Second comparison: $m\angle DEG<m\angle FGE$
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answer attempt 2 out of 2 the y-intercept of line a is -2 and the y-int…
The y - intercept of Line A is \(-2\), the y - intercept of Line B is \(-6\), and the y - intercept of Line A is greater than the y - intercept of Line B.
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y - 5 = -\\frac{5}{2}(x + 4) graph of line b: (graph of a line on a coo…
The x-intercept of Line A is \(-2\) and the x-intercept of Line B is \(-6\).
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answer attempt 1 out of 2 the x-intercept of line a is -3 and the x-int…
The x - intercept of Line A is - 3 and the x - intercept of Line B is 6. Therefore, the x - intercept of Line A is less than the x - intercept of Line B.
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find vw. t 6 x w u vw =
\( 4 \)
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consider the following figure. (note that the figure is not drawn to sc…
$GH < HJ < GJ < JI < GI$
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find uv. uv = submit
\( \boxed{23} \)
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in exercises 3–6, find the indicated measure. explain your reasoning. (…
\( GH = 4.6 \) ### Problem 4: Find \( QR \)
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find ux. ux = submit
\( 49 \)
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consider the following figure. (note that the figure is not drawn to sc…
$IK < KJ < IJ < HI < HJ$
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$\\overline{ij} \\parallel \\overline{hk}$. find $gi$. (there is a tria…
70
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$\\overline{tu} \\parallel \\overline{sv}$. find $sw$. there is a horiz…
\(16\)
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vocabulary and core concept check 1. complete the sentence point c is i…
angle bisector
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y - 4 = -(x - 2) graph of line b: graph of a line on a coordinate plane…
The slope of Line A is \(-1\) and the slope of Line B is \(-\frac{1}{2}\)
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determine the values of x and y. x = y =
# Explanation: ## Step1: Find angle at A in triangle ABC In triangle \(ABC\), angles at \(A = 50^\circ\), at \(B = 60^\circ\). Sum of angles in a triangle is \(180^\circ\), so ang…
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learn with an example or watch a video these figures are congruent. wha…
55
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x - 3y = 6 graph of line b: (graph of a line on a coordinate plane with…
To determine the slopes of Line A (equation \( x - 3y = 6 \)) and Line B (from the graph), we follow these steps: ### Step 1: Find the slope of Line A (equation \( x - 3y = 6 \)) …
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complete the proof. given: ∠b ≅ ∠d \\(overline{ac} \\cong overline{ec}\…
- For $\angle ACB \cong \angle ECD$: Vertical Angles Theorem - For $\triangle ABC \cong \triangle EDC$: AAS (Angle - Angle - Side) Congruence Theorem - For $\overline{AB} \cong \o…
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find uy. uy = \\boxed{} submit
\( 80 \)
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find: tan b? the figure is not drawn to scale. right triangle with legs…
\(\frac{24}{32}\) (or \(\frac{3}{4}\), depending on simplification; the option with 24/32)
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find: sin a the figure is not drawn to scale. answer \\(\frac{24}{30}\\…
$\frac{24}{30}$ (corresponding to the first option, e.g., A. $\frac{24}{30}$ if options are labeled that way)
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find: cos a the figure is not drawn to scale. answer \\(\\frac{55}{48}\…
$\frac{48}{73}$ (corresponding to the option with $\frac{48}{73}$)
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it is given that \\(\\overline{ab} \\cong \\overline{dc}\\) and \\(\\an…
1. Reflexive 2. \( \triangle DCB \) 3. (as per problem, non - included, but correct is included) 4. \( \triangle ABC \cong \triangle DCB \) 5. SAS 6. \( \overline{AC} \cong \overl…
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can $\\triangle abd$ be proved to be congruent to $\\triangle cdb$ by t…
Yes
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can $\\triangle abd$ be proved to be congruent to $\\triangle cbd$ by t…
The correct statements to select are: - $\boldsymbol{\overline{BD} \cong \overline{BD}}$ - $\boldsymbol{\overline{AB} \cong \overline{BC}}$ - $\boldsymbol{\triangle ABD}$ and $\bo…
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complete the proof that ( mangle p + mangle t + mangle pqt = 180^circ )…
The proof is completed by using the given parallel lines, corresponding/alternate interior angles theorems, angle addition postulate, linear pair postulate, and substitution prope…
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find tan b the figure is not drawn to scale. answer \\frac{33}{55} \\fr…
$\frac{44}{33}$ (or simplified $\frac{4}{3}$, but among the options, the third one is $\frac{44}{33}$)
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prove: $\\triangle abc \\cong \\triangle def$ it is given that $\\trian…
1. \( \angle C \cong \angle F \) 2. \( \angle C \) 3. \( \angle F \) 4. \( \angle C \cong \angle F \) 5. SAS
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the star - spangled banner was written by francis scott key at fort mch…
Maryland
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complete the following proof. given: - c is the midpoint of \\(\\overli…
1. For the first blank (midpoint of \( \overline{AE} \)): \( \overline{AC} \cong \overline{EC} \); midpoint. 2. For the second blank (midpoint of \( \overline{BD} \)): \( \overlin…
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complete the proof that ( mangle u + mangle y + mangle uvy = 180^circ )…
The proof is completed by using the Corresponding Angles Postulate, Angle Addition Postulate, Linear Pair Postulate, and Substitution Property as explained in the steps above, res…
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drag the system of equation to the point that represents the solution t…
Drag the system \( \begin{cases} 4x - 3y = 5 \\ 3x + 2y = -9 \end{cases} \) to the point (-1, -3) (the purple dot at x = -1, y = -3 on the graph).
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use the two triangles below to answer the following questions. enter a …
$\text{cong(triangle(ABC), triangle(EDF))}$ For the theorem, since two angles and the included side are congruent, the justifying theorem is Angle - Side - Angle Triangle Congruen…