几何
三角形、圆、解析几何与证明题。
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proof complete the paragraph proof. given: ∠acb ≅ ∠qsr, (overline{ac} c…
The congruence postulate is AAS (Angle - Angle - Side). So the first "Select Choice" (about right angles congruence) is "congruent", the second "Select Choice" (about $\angle ACB$…
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if these two shapes are similar, what is the measure of the missing len…
\( k = 12 \)
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graph the inequality. $y > -5x - 2$
1. Draw a dashed line with slope - 5 and y - intercept - 2 (passing through \( (0,-2) \) and other points found using the slope). 2. Shade the region above the dashed line (the re…
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proof complete the paragraph proof. given: (overline{kl} parallel overl…
1. For the angle theorem: Alternate Interior Angles Theorem 2. For the side congruence: Reflexive Property of Congruence 3. For the congruence postulate: AAS (Angle - Angle - Side…
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if these two figures are similar, what is the measure of the missing an…
\(118\)
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proof complete the flow proof by dragging the reasons. given: given (ov…
1. For \( \angle HEG \cong \angle FEG \): Def of angle bisector 2. For \( \angle HGE \cong \angle FGE \): Right angles are \( \cong \) 3. For \( \triangle EGH \cong \triangle EGF …
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if these two shapes are similar, what is the measure of the missing len…
6
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use the graph of the function to complete the table. input output 3 5 3…
For input 3, output is 6; for input 8, output is 7. (So the table should have: Input 3, Output 6; Input 5, Output 3; Input 8, Output 7)
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4. domain: range: function? 5. domain: range: function? 6. domain: rang…
Range: \(\{-9, 6, 11\}\) ### Problem 8
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if these two shapes are similar, what is the measure of the missing len…
6
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statements 1 (overline{yw}) bisects (overline{ux}), (overline{uv} paral…
1. Statement: \(\overline{YW}\) bisects \(\overline{UX}\), \(\overline{UV} \parallel \overline{YW}\); Reason: Given 2. Statement: \(\angle U \cong \angle WYX\); Reason: Given 3. S…
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statements 1. ∠pqt ≅ ∠rqs 2.? 3. ∠qpt and ∠qrs are right angles. 4.? 5.…
1. Reason for \( \angle PQT \cong \angle RQS \): Vertical Angles are Congruent (or Given) 2. Statement 2: \( \overline{PQ} \cong \overline{RQ} \), Reason: Given 3. (Already given …
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in the figure below, ( l parallel m ). find ( x ).
\( 51 \)
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the diameter of a circle is 12 meters. what is the circles area? d=12 m…
113.10
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explain whether there is enough information given in the figure to prov…
1. Yes 2. one 3. right angles 4. three
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explain whether there is enough information given in the figure to prov…
The triangles share the side \( \overline{AC} \), so they have \( \boldsymbol{1} \) (if considering SSS, the common side plus two other sides; if SAS, the common side, one other s…
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can you conclude that these triangles are congruent? s q m n p yes no
no
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explain whether there is enough information given in the figure to prov…
First Select Choice: Yes Second Select Choice: Given Third Select Choice: can Fourth Select Choice: None Fifth Select Choice: cannot (Note: The exact wording of the dropdown optio…
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{4}\)
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explain whether there is enough information given in the figure to prov…
1. ∠GLH and ∠JLK are **vertical** angles, so they **are** congruent. Therefore, \( \triangle GLH \) is **congruent** to \( \triangle JLK \) by the **SAS** Congruence Postulate.
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which rule explains why these triangles are congruent? triangles qnp an…
AAS
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technology nevaeh has developed a new timer app. the icon for the app c…
First blank: Vertical Angles Theorem (∠PRQ and ∠TRS are vertical angles, so they are congruent) Second blank: SAS (Side - Angle - Side) Congruence Criterion
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{4}{7}\)
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which two triangles are congruent? complete the congruence statement. △…
$\triangle IJK \cong \triangle CAB$
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which two triangles are congruent by the aas theorem? complete the cong…
$\triangle FHG\cong\triangle QPR$
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statements reasons 1. ? 1. given 2. ? 2. definition of perpendicular. 3…
To solve the proof for triangle congruence (\(\triangle ABD \cong \triangle CBD\)), we analyze each step: ### Step 1: Identify the Given Statement The first statement in a proof i…
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mvusd, math ii name per angle & triangle properties 6. draw and label a…
\(x = 15\), both angles measure \(45^\circ\) ### Problem 8:
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solve each inequality. then graph the solution. 1. $4a + 3 > 15$ $4a + …
\( m \leq 16 \) (Graph: A closed circle at 16 and an arrow pointing to the left on the number line) ### Problem 3: \( 5 \geq -\frac{s}{12} - 3 \)
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which letter can be mapped onto itself by a $180^{circ}$ rotation about…
N (the option with the letter N)
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35. four triangles are shown. one side of each triangle lies on a ray, …
\(x = 160\), because \(180-(130 + 30)=20\) and \(180 - 20 = 160\) (the first option: \(x = 160\), because \(180-(130 + 30)=20\) and \(180 - 20 = 160\))
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find the equation of the line perpendicular to $y = \\frac{1}{3}x + 7$ …
\( y - 4=-3(x - 2) \)
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solve each inequality. then graph the solution. 1. $4a + 3 > 15$ $4a + …
The solution to \(1 \geq \frac{m}{4} - 3\) is \(m \leq 16\). The graph has a closed circle at 16 and shading to the left.
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which two triangles are congruent? complete the congruence statement. (…
$\triangle WXY \cong \triangle HIJ$
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proof: complete the paragraph proof given: v is the midpoint of \\(\\ov…
1. First "Select Choice": \( YV \cong ZV \) (since \( V \) is midpoint of \( YZ \), so \( YV = ZV \)) 2. Second "Select Choice": \( XV \cong WV \) (since \( V \) is midpoint of \(…
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question solve for x and graph the solution on the number line below. -…
Inequality Notation: \(x \leq -4\) or \(x > 1\) (For the number line: Plot a closed circle at \(-4\) and shade left, open circle at \(1\) and shade right.)
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34. in each diagram, line k is parallel to line l, and line t intersect…
The value of \(x\) is 79, because the two angles shown in each diagram are congruent. (The first option, e.g., A. The value of \(x\) is 79, because the two angles shown in each di…
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proof: statements\treasons 1. ?\t1 given 2. ?\t2 def of congruence 3. ?…
1. Statement: \( \angle MPL \) and \( \angle NPL \) are right angles 2. Statement: \( \overline{NP} \cong \overline{MP} \) 3. Statement: \( NP \perp PL \) 4. Statement: \( \angle …
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33. four triangles are shown. images of four triangles with angle measu…
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. (If this was a multiple - choice question with option…
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find one counterexample to show that the following conjecture is false.…
C. The triangle with right angle at \( B \) (the third option, labeled C)
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32. in each diagram, line p is parallel to line f, and line t intersect…
\( x = 75 \)
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proof prove △abc ≅ △edc by dragging the statements into the correct ord…
The correct order of statements for the proof is: 1. $\overline{AB} \cong \overline{ED}, \overline{CA} \cong \overline{CE}, \overline{AC}$ bisects $\overline{BD}$ (Given) 2. $C$ i…
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proof complete the paragraph proof. given: \\(\\overline{qr} \\cong \\o…
First blank: Reflexive; Second blank: SSS (Side - Side - Side) Congruence Criterion
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31. a figure was transformed on a coordinate grid using the rule (x, y)…
D. A \(180^{\circ}\) clockwise rotation about the origin
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proof: given v is the midpoint of rt. given δrsv ≅ δtsv reflexive prop.…
To complete the proof: - Top left blue "Given" box: \( \boldsymbol{\overline{RS} \cong \overline{TS}} \) - Box below "V is the midpoint of RT": \( \boldsymbol{\overline{RV} \cong …
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29. a figure is graphed on a coordinate grid as shown. the figure is ro…
\((x, y) \to (-x, -y)\) (the first option)
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28. the coordinate grid shows parallelogram pqrs. parallelogram pqrs is…
\((x, y) \to (y, -x)\)
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name two pairs of congruent angles in the figure. justify the answer. a…
C. \( \angle JIF \) and \( \angle HIG \) according to the Congruent Complements Theorem
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how would you decide which flags show reflection symmetry? rotational s…
C. To determine the type(s) of symmetry each flag has, start by examining the shape of each flag. Notice that each flag is a non - square rectangle and rectangles have 2 line(s) o…
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which rule explains why these triangles are congruent? aas sas sss asa …
AAS
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prove: △abd ≅ △cbd proof: statements | reasons 1.? | 1. given 2.? | 2. …
| Statements | Reasons | | --- | --- | | 1. \( AB \cong CB \), \( D \) is the midpoint of \( AC \), \( BD \cong BD \) | Given | | 2. \( AD \cong DC \) | Definition of midpoint | |…
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13. triangle hjk is graphed on the coordinate grid. triangle hjk will b…
The graph on the Top - Left (the first option among the four graphs)
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26. pentagon mnpqr is shown on the coordinate grid. pentagon mnpqr is d…
Pentagon \( M'N'P'Q'R' \) is smaller than pentagon \( MNPQR \), because the scale factor is less than 1.
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15 choose the correct answer. ______ - a new-american poet using juxtap…
15. The option with "Dickinson" (assuming the option is labeled with Dickinson, e.g., if the options are as in the image, the third option (with the circle) for question 15 is Dic…
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use the map shown below to find the distance between cities a and b to …
\(7.8\)
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a student thinks that the octagon in the diagram to the right has 16 li…
A. The student counted the total number of arrow heads when they should have just counted the number of lines. Therefore, the correct answer is 8.
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proof: \\(\\overline{rs} \\cong \\overline{ut}\\) \\(st \\cong ts\\) gi…
The missing given is \( \boldsymbol{\overline{RT} \cong \overline{US}} \) and the congruence criterion for \( \triangle RST \cong \triangle UTS \) is SSS (Side - Side - Side) cong…
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question what is an equation of the line that passes through the points…
\(y = 4x-6\) (or in standard form \(4x-y=6\))
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5.38. on graph paper, plot the points (-3, 7) and (2, -3) and draw a li…
The x - intercept is \( \frac{1}{2} \) (or \( 0.5 \)) and the y - intercept is \( 1 \).
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if a figure has 90° rotational symmetry, what other symmetries must it …
180, 270
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proof complete the two - column proof given: ( ab cong xy ), ( ac cong …
For the reason of \( \triangle ABC\cong\triangle XYZ \) in the two - column proof, the reason is the SSS (Side - Side - Side) Congruence Postulate. So in the "Reasons" column for …
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is it possible for a figure to have reflectional symmetry and no rotati…
D. Yes. It is possible for a figure to have reflectional symmetry without having rotational symmetry. The letters A, D, and W are examples of this.
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can you conclude that these triangles are congruent? yes no
yes
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the parallelogram bcde is a dilation of the parallelogram bcde. what is…
\(\frac{1}{4}\)
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suppose m is the line with the equation y = 3. given a(7,1), b(2,9), an…
A. \( A'(3,5), B'(-2,-3), C'(-1,11) \)
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the parallelogram bcde is a dilation of the parallelogram bcde. what is…
\(\frac{1}{4}\)
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whether the following graph represents a function.
The graph does not represent a function.
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the triangle lmn is a dilation of the triangle lmn. what is the scale f…
\(\frac{1}{5}\)
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reflections. if the pattern continues, what are the shapes and ... as t…
reflect across a vertical line
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the trapezoid klmn is a dilation of the trapezoid klmn. what is the sca…
\(\frac{1}{3}\)
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tile 5 will to tile 6, which sl tile 3. (type who reflect across a vert…
reflect across a vertical line
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19. find the perimeter and area of this triangle. 9 mi 24 mi
Perimeter: \(\approx58.63\) mi, Area: \(108\) square miles
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23. quadrilateral pqrs is dilated with the origin as the center of dila…
Quadrilateral \(P'Q'R'S'\) is similar to quadrilateral \(PQRS\) (the last option among the given choices).
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starting from tile 1, quadrilateral tiles are embedded into a wall foll…
Tile 5 will \(\boldsymbol{\text{glide reflect}}\) to tile 6, which should have the same orientation as tile \(\boldsymbol{2}\). Then tile 6 will \(\boldsymbol{\text{glide reflect}…
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the trapezoid klmn is a dilation of the trapezoid klmn. what is the sca…
\(\frac{1}{3}\)
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24. a transformation is applied to a figure to create a new figure. whi…
C. A dilation by a scale factor of 5
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find the area of the parallelogram. 3.14 in 4.76 in ? in² round your an…
14.95 (rounded to the nearest hundredth)
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find the area of the parallelogram. 2.34 cm 1.89 cm ? cm² round your an…
\( 4.42 \)
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22. figure i and figure ii are similar quadrilaterals. figure i diagram…
\(\frac{b}{6.4}=\frac{5}{8}\) (the third option, written as \(\boldsymbol{\frac{b}{6.4}=\frac{5}{8}}\))
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find the area of the parallelogram. 1.23 cm 2.87 cm ? cm² round your an…
\( 3.53 \)
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19. trapezoid klmn is reflected over the x-axis to form trapezoid wxyz.…
The side lengths of trapezoid KLMN are congruent to the corresponding side lengths of trapezoid WXYZ. (The option with this statement, likely the last one in the list of options)
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the parallelogram uvwx is a dilation of the parallelogram uvwx. what is…
# Explanation: ## Step1: Identify coordinates of corresponding points First, find the coordinates of a point from the original parallelogram \( UVWX \) and its image in \( U'V'W'X…
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proof complete the paragraph proof of corollary 5.2. a. case 1 given: $…
1. First "Select Choice" (theorem): Triangle Angle Sum Theorem 2. \(m\angle M\): \(90\) 3. After substitution: \(90 + m\angle N + m\angle O = 180\) (then simplify to \(m\angle N +…
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3. a system of inequalities is graphed on the set of axes below. which …
4) (4,2)
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the rectangle cdef is a dilation of the rectangle cdef. what is the sca…
\(\frac{1}{2}\)
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10. the length of a rectangle is 16 inches, and the width is 10 inches.…
$\frac{8}{5}$ (or 8:5)
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the rectangle cdef is a dilation of the rectangle cdef. what is the sca…
\(\frac{1}{2}\)
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18. quadrilateral abcd was dilated with the origin as the center of dil…
\((x, y) \to (2.5x, 2.5y)\)
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question 1 5.1-5.2 proofs proof: ∠r is a rt. ∠. → m∠r = 90° → 90° + m∠s…
- For "∠R is a rt. ∠.": Given - For \( m\angle R = 90^\circ \): Def of rt. ∠ - For \( 90^\circ + m\angle S + m\angle T = 180^\circ \): Substitution - For \( m\angle R + m\angle S …
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the parallelogram wxyz is a dilation of the parallelogram wxyz. what is…
5
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16. triangle uvw and triangle pqr are transformed on a coordinate plane…
For "Triangle \(UVW\) reflected across the \(y\) - axis", the rule is \((x,y)\to\boldsymbol{(-x,y)}\). For "Triangle \(PQR\) rotated \(90^{\circ}\) clockwise about the origin", th…
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determine the ordered pairs of the inverse of the graph shown.
The ordered pairs of the inverse are (6, 2), (-4, 8), (-8, 4)
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64. in the diagram, a person who is 6 ft tall is standing on the ground…
The correct proportion is \( \boldsymbol{\frac{6}{3} = \frac{h}{18}} \) (the second option, e.g., if options are labeled, say B. \( \frac{6}{3} = \frac{h}{18} \)).
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be dilated with the origin as the center of dilation using the rule (x,…
Each side length of quadrilateral \( L'M'P'Q' \) will be \( 3.75 \) times the corresponding side length of quadrilateral \( LMPQ \). (The option with this statement, e.g., the thi…
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determine the ordered pairs of the inverse of the graph shown. answer a…
(5, 3), (7, 5), (2, 7)
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determine the ordered pairs of the inverse of the graph shown. answer a…
\((8, - 6)\), \((9, - 4)\), \((-6, - 2)\)
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the figure below is a square. find the length of side x in simplest rad…
\(3\sqrt{2}\)
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find the length of side x in simplest radical form with a rational deno…
\(x = 6\sqrt{3}\)
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subject / predicate more practice (homework) 1. the talented student pl…
To solve this, we analyze each sentence to determine its type (interrogative, imperative, declarative, exclamatory): ### Sentence 1: "The talented student placed first in the deba…
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the point a is shown below. reflect a across the y-axis. then reflect t…
The final point is \((5, 3)\) (to plot this point, move 5 units to the right on the x - axis and 3 units up on the y - axis).
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pythagorean distance what is the horizontal distance a? points: (5, -8)…
3