Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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understanding geometric statements which is a mathematical statement co…
D. teorema
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which of the following sets of numbers could represent the three sides …
{6, 19, 22}
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which diagram represents the postulate that states exactly one line exi…
El tercer diagrama (el que tiene una línea recta que conecta puntos A y B) es el que representa el postulado, ya que muestra exactamente una línea entre dos puntos dados.
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10. the area of the floor of a square play pen is 6 square meters. what…
C. 10
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practice describing and identifying undefined terms. which undefined ge…
B. line
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4. determine the slope of the line below.
$-\frac{3}{8}$
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write the equation of this line in slope - intercept form. write your a…
$y=\frac{1}{4}x - 6$
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look at this shape! which image shows a rotation? a b c
C
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6. given that △uvt is the mid - segment △, tell which of the following …
- A. $2(TU)=PN$ - B. $MN\parallel UV$ - D. $UT\parallel VN$
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5. given that segment de is a midsegment of δabc, find the following. a…
AD = 6.5, DE = 5
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in the picture, line a is parallel to line b. m∠4 = 9x - 5 and m∠5 = 4x…
$x = 4.2$
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3.given that segment uv is the midsegment of δpmn. a) find the slope of…
a) $\frac{3}{1}$ b) Yes
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in the picture, line a is parallel to line b. m∠3 = 12x - 23 and m∠7 = …
$x = 6$ $\angle3 = 49^{\circ}$ $\angle6 = 131^{\circ}$
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1. given: d is the mid - point of segment ba and e is the mid - point o…
Mid - segment of $\triangle ABC$
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in the picture, line a is parallel to line b. $m\\angle3 = 12x - 23$ an…
What kind of angle pair is $\angle3$ and $\angle7$? Corresponding angles Equation: $12x - 23 = 7x+7$
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in the figure below, k || j. find the values of x and y. try one last t…
\(x = 70\), \(y = 37\)
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in the picture, line a is parallel to line b. m∠1 = 53°. find the other…
$\angle2 = 127^{\circ}$ $\angle3 = 53^{\circ}$ $\angle4 = 127^{\circ}$ $\angle5 = 53^{\circ}$ $\angle6 = 127^{\circ}$ $\angle7 = 53^{\circ}$ $\angle8 = 127^{\circ}$
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two parallel lines are cut by a transversal as shown below. suppose m∠5…
$m\angle2 = 103^{\circ}$ $m\angle4 = 103^{\circ}$
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parallel lines & special angles practice 2 of 16 for each angle pair, c…
∠1 & ∠15: Name: Corresponding angles, Transversal: \(c\) ∠11 & ∠9: Name: Vertical angles, Transversal: N/A ∠6 & ∠12: Name: Alternate interior angles, Transversal: \(b\) ∠8 & ∠5: N…
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give a pair of alternate exterior angles, a pair of alternate interior …
(a) $\angle1$ and $\angle7$ (b) $\angle3$ and $\angle5$ (c) $\angle1$ and $\angle5$
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in the picture, line a is parallel to line b. (mangle4 = 9x - 5) and (m…
What kind of angle pair is $\angle4$ & $\angle5$? Alternate interior angles Equation: $9x - 5 = 4x+16$
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two parallel lines are cut by a transversal as shown below. suppose m∠2…
\(m\angle5 = 33^{\circ}\), \(m\angle8=33^{\circ}\)
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give a pair of alternate exterior angles, a pair of corresponding angle…
(a) \(\angle1\) and \(\angle7\) (b) \(\angle2\) and \(\angle6\) (c) \(\angle3\) and \(\angle5\)
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in the picture, line a is parallel to line b. $m\\angle3 = 23x + 15$ an…
What kind of angle pair is $\angle3$ & $\angle5$? Alternate - interior angles Equation: $23x + 15 = 34x−29$
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in the picture, line a is parallel to line b. m∠4 = 9x - 5 and m∠5 = 4x…
$x = 4.2$ $\angle3=147.2$ $\angle6 = 32.8$
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in the picture, line a is parallel to line b. $m\\angle1 = x^{2}+7x$ an…
\(x = 4\) \(\angle1=44^{\circ}\) \(\angle7=44^{\circ}\)
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14 of 16 in the picture, line a is parallel to line b. m∠2 is 68 less t…
$\angle2 = 17^{\circ}$ $\angle6 = 17^{\circ}$
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in the picture, line a is parallel to line b. m∠2 is 68 less than 5 tim…
$\angle2 = 17^{\circ}$ $\angle6 = 17^{\circ}$
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in the picture, line a is parallel to line b. m∠5 is 20 less than 3 tim…
$\angle5 = 130^{\circ}$ $\angle8 = 50^{\circ}$
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find the length of $overline{ab}$. a 4 b 10 ab = ?
6
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find the length of $overline{jk}$. j 4 k 5 $jk = ?$
1
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find the length of (overline{ab}). a 11 b 16 ab = ?
5
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in the picture, line a is parallel to line b. (mangle7 = 2x + 13) and (…
$x = 0$ $\angle5=13^{\circ}$ $\angle6=167^{\circ}$
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find the length of $overline{st}$. s 10 t 14 st = ?
4
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find the length of $overline{ab}$. a 13 b 34 ab = ? ab = |a - b| = |b -…
21
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predict how many blocks would be on image 43. (hint: make a table if it…
\(134.3^{\circ}\)
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in the picture, line a is parallel to line b. $m\\angle7 = 2x + 13$ and…
What kind of angle pair is $\angle7$ and $\angle8$? Supplementary angles Equation: $(2x + 13)+(5x + 13)=180$
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4 figure efgh is a scaled copy of figure abcd. select all of the true s…
[4] B. The ratio of \(\frac{AB}{BC}\) is equivalent to the ratio of \(\frac{EH}{HG}\). [5] D. 79,200 square yards
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4 figure efgh is a scaled copy of figure abcd. select all of the true s…
B. The ratio of \(\frac{AB}{BC}\) is equivalent to the ratio of \(\frac{EH}{HG}\)
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answer attempt 1 out of 10 slope of the line: submit answer
1
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8. the solid - line figure is a dilation of the dashed - line figure. t…
Enlargement, scale factor \(2\) ### 9.
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4. what are the coordinates of △pqr after a dilation with a scale facto…
4. a) $P'(-2,1),Q'(0,2),R'(2,2)$ 5. d) $D(-2,3),E(2,1),F(-1,-1)$ 6. $P'(3,6),Q'(-3,6),R'(0,-9)$ 7. The size of the image is the same as the original figure.
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1. which of the following describes the image of a figure after a dilat…
1. c) It has the same shape as the original and is smaller than the original figure. 2. c) Its sides are 6 times as long as those of the original square. 3. c) Each angle has the …
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what are tertiary characters? main characters who play a role that help…
None of the above options are correct. Tertiary characters are minor characters in a story. They have relatively little screen - time or page - time compared to main and secondary…
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11) order the graph steps from start to end. find the coordinates of th…
1. Place a point at the origin or starting point. 2. Find the coordinates of the point you want to plot next and repeat this step for the remaining coordinates. 3. Draw a line con…
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5. given: ∠5≅∠16;∠2≅∠4 prove: ∠11 and ∠14 are supplementary statements …
The proof steps involve using the given angle - congruence (\(\angle5\cong\angle16\), \(\angle2\cong\angle4\)) and supplementary - angle (\(\angle11+\angle14 = 180^{\circ}\)) info…
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4. given: ∠1≅∠5,∠3≅∠4 prove: l || v statements reasons
Statements: 1. $\angle1\cong\angle5,\angle3\cong\angle4$ 2. $\angle3\cong\angle5$ 3. $\angle4\cong\angle5$ 4. $l\parallel v$ Reasons: 1. Given 2. Vertical angles are congruent 3. …
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10. find the slope of the line.
$-1$
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4. given: ∠1≅∠5,∠3≅∠4 prove: l || v statements reasons ∠1≅∠5 ∠3≅∠4 ∠3 =…
The proof that $l\parallel v$ is completed by using the given angle - congruences, the property of vertical angles, and the corresponding - angles postulate.
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2. given: m∠3 = m∠8 prove: m∠3 + m∠6 = 180° statements reasons
Statements: 1. \(m\angle3 = m\angle8\) (Given) 2. \(m\angle3 + m\angle6=180^{\circ}\) (Given) 3. \(m\angle8 + m\angle6 = 180^{\circ}\) (Substitution Property of Equality) 4. \(j\p…
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directions: complete each proof. 1. given: m∠4 + m∠7 = 180°. prove: c |…
Since \(m\angle4 + m\angle7=180^{\circ}\) and \(\angle4\) and \(\angle7\) are same - side interior angles, by the converse of the same - side interior angles postulate, \(c\parall…
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directions: complete each proof. 1. given: m∠4 + m∠7 = 180°. prove: c |…
The proof is completed as follows: | Statements | Reasons | |--|--| | 1. \(m\angle4 + m\angle7 = 180^{\circ}\) | Given | | 2. \(m\angle4=m\angle6\) | Vertical angles are congruent…
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directions: complete each proof. 1. given: m∠4 + m∠7 = 180° prove: c ||…
The proof is completed as above, showing that \(m\angle3 + m\angle6 = 180^{\circ}\) using the properties of parallel lines and angle - relationships such as corresponding angles, …
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1b) describe a sequence of transformations that maps △abc onto △def (fi…
First transformation: Translation 5 units left and 3 units down. Second transformation: Rotation of $180^{\circ}$ about the origin.
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the vertices of a triangle abc are (1,1), (4, - 2) and (5, 5), respecti…
(B) $x = 5$
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multiply the area of the base by the height to find a formula for the v…
$V = \frac{\theta r^{2}h}{2}$
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5. y = -5(x + 7)^2 - 6 circle one: vertex or standard vertex min or max…
|Property|Value| |--|--| |Vertex|$(-7,-6)$| |Min or Max|Max| |Axis of Symmetry|$x = - 7$| |y - intercept|$-251$| |Direction of Opening|Downwards|
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function provided is written in standard or vertex form. rewrite the fu…
| Property | Value | |--|--| | Vertex | $(-1,5)$ | | Min or Max | Min | | Axis of Symmetry | $x=-1$ | | y - intercept | $14$ | | Direction of Opening | Upward |
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3. $f(x)=3(x + 2)^2+8$ circle one: vertex or standard vertex min or max…
|Property|Value| |---|---| |Vertex|$(-2,8)$| |Min or Max|Min, $y = 8$| |Axis of Symmetry|$x=-2$| |y - intercept|$20$| |Direction of Opening|Upward|
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cyu 4 vertex and standard form algebra 2 l identify attributes of the q…
| Attribute | Value | |--|--| | Vertex | $(-2,8)$ | | Min or Max | Min | | Axis of Symmetry | $x=-2$ | | y - intercept | 20 | | Direction of Opening | Upward |
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in the figure, m is parallel to n and m∠4 = 129°. find the measures of …
$129$
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use the map shown below to find the distance between cities a and b to …
6.7
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8. the equation of a circle can be changed from general form to standar…
A. completing the squares
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exercises 15 - 18 in exercises 15 - 18, determine (a) the area and (b) …
(a) 99 square - miles (b) 40 miles ### Exercise 16
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mixed exercises construct an argument draw a valid conclusion from the …
Conclusion: All the sides of figure \(ABCD\) are congruent. The conclusion was drawn using the Law of Detachment. ### 19.
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tell whether the two figures are congruent. explain your reasoning. con…
not congruent. Only corresponding sides are not congruent.
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7. choose the equation of a circle with radius 6 and center (3, -5). (a…
D. $(x - 3)^2+(y + 5)^2=36$
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tell whether the two figures are congruent. explain your reasoning. 8 c…
congruent, Corresponding sides and corresponding angles are congruent
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5. true or false the radius of the circle x² + y² = 9 is 3. 6. true or …
5. True 6. False
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solve for x and graph the solution. -4(x - 1)^5(x - 5)^3 < 0 plot the e…
The solution of the inequality $-4(x - 1)^5(x - 5)^3\lt0$ is $x\lt1$ or $x\gt5$. On the number - line, we plot open circles at $x = 1$ and $x = 5$ (because the inequality is stric…
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the figures are congruent. name the corresponding angles and the corres…
Corresponding angles: ∠P and ∠W, ∠Q and ∠X, ∠R and ∠Y, ∠S and ∠Z, ∠T and ∠V Corresponding sides: PQ and WX, QR and XY, RS and YZ, ST and ZV, TP and VW
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solve for x and graph the solution. -5(x - 4)^5(x - 5) ≤ 0 plot the end…
The solution of the inequality \(-5(x - 4)^{5}(x - 5)\leq0\) is \(x\leq4\) or \(x\geq5\). On the number - line, we plot closed - circles at \(x = 4\) and \(x = 5\) (since the ineq…
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solve for x and graph the solution. 5(x - 1)(x - 6) > 0 plot the endpoi…
The solution is $x<1$ or $x>6$. On the number - line, we have an open circle at $x = 1$ and an open circle at $x=6$, with rays extending to the left of $x = 1$ and to the right of…
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solve for x and graph the solution. -(x - 2)^5 ≤ 0 plot the endpoints. …
The solution of the inequality is $x\geq2$. On the number - line, we plot a closed circle at $x = 2$ (because the inequality includes equality, $\geq$) and draw a ray to the right…
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solve for x and graph the solution. (x + 6)^3 < 0 plot the endpoints. s…
The solution of the inequality \((x + 6)^{3}<0\) is \(x<-6\). On the number line, we use an open circle at \(x=-6\) and draw a ray to the left of \(x = - 6\).
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solve for x and graph the solution. (x + 1)^3 < 0 plot the endpoints. s…
The solution of the inequality is $x\in(-\infty,-1)$. On the number - line, we plot an open circle at $x=-1$ and draw a ray to the left of $x = - 1$.
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the figures are congruent. name the corresponding angles and the corres…
Ángulos correspondientes: ∠A y ∠J, ∠B y ∠K, ∠C y ∠L, ∠D y ∠M. Lados correspondientes: AB y JK, BC y KL, CD y LM, AD y MJ.
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tell whether the triangles are congruent or not congruent. congruent no…
congruent
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which angle does not belong with the other three? ∠r ∠u ∠v ∠q explain y…
∠Q
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how can you tell that two figures are congruent? two figures are congru…
D. Two figures are congruent if they have the same size and the same shape.
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5. choose the best answer. which barrier led to newly arrived enslaved …
5. the language barrier 6. Divine Nine
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solve for x and graph the solution. -4(x + 1)(x - 5) > 0 plot the endpo…
The solution of the inequality \(-4(x + 1)(x - 5)>0\) is \(-1<x<5\). On the number - line, we plot open circles at \(x=-1\) and \(x = 5\) and shade the region between them.
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solve for x and graph the solution. -2(x + 5)(x - 5) < 0 plot the endpo…
The solution of the inequality is $x<-5$ or $x>5$. On the number - line, we use open circles at $x=-5$ and $x = 5$ and shade the regions to the left of $x=-5$ and to the right of …
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△abc is congruent to △def. a. the corresponding angles are ∠a and , ∠b …
a. ∠D, ∠E, ∠F b. DE, EF, DF
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in △lmn, mn = 8, nl = 13, and lm = 9. which statement about the angles …
\(m\angle M>m\angle N > m\angle L\) (the option that matches this relationship among the given choices)
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solve for x and graph the solution. 3(x + 2)(x + 4) < 0 plot the endpoi…
The solution of the inequality is $-4<x<-2$. On the number - line, we plot open - circles at $x=-4$ and $x=-2$ and shade the region between them.
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in $\triangle hij$, $mangle h = 43^{circ}$ and $mangle i = 104^{circ}$.…
IJ > HI > JH
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#5. calcule laire totale de ce solide décomposable. donne la valeur exa…
$76\pi$ $cm^{2}$
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in $delta qrs$, $rs = 9$, $sq = 11$, and $qr = 7$. which list has the a…
C. \(m\angle S, m\angle Q, m\angle R\)
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a side of the triangle below has been extended to form an exterior angl…
$25$
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review the text. then, choose two details that best suggest that detect…
1. "You're Mayor Henderson's son. But I don't remember seeing you in training." 2. "Of course he didn't need training with his connections, Detective Crosby thought bitterly to he…
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a side of the triangle below has been extended to form an exterior angl…
\(117\)
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read the text. deep in thought, detective crosby surveyed the crime sce…
Detective Crosby believes the photographer is intentionally disrupting the crime scene.
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#3. calcule laire totale de ce prisme. c = 3x , h_{triangle}= 5x et h_{…
$33x^{2}+36x$
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16. decide whether each of the following is true or false, and circle t…
a. False b. True c. False d. False
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exercises 9-12 in exercises 9-12, use the similar triangles abc and abc…
9. $10.2$ in 10. $2$ in 11. $30^{\circ}$ 12. $88^{\circ}$
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question △cnw can be mapped onto △tye by a reflection. if m∠n = 117°, f…
$117^{\circ}$
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question quadrilateral banp ≅ quadrilateral xwvy. if an = 17, find vw. …
17
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what is the name of this figure? x w point w
\(\overline{WX}\)
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question quadrilateral cixr can be mapped onto quadrilateral etus by a …
5