Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the total area of the figure to the right is 434 cm². use this fact to …
$x = 8$
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determine the slope of a line parallel to the segment shown. (1,1) (3,5…
C. \(2\)
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determine the slope of a line parallel to the segment shown. (3, 5) (1,…
$\frac{2}{1}$
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solve the inequality and graph the solution on the line provided. 5x - …
<, $x<5$ On the number - line, there is an open circle at 5 and the line extends to the left.
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directions: graph and label each figure and its image under the given r…
1. $B'(6,7)$, $C'(2,6)$, $D'(3,2)$, $E'(7,3)$ 2. $F'(8,1)$, $G'(7,5)$, $H'(3,2)$ 3. $J'(-4,-1)$, $K'(-2,-5)$, $L'(2,-5)$, $M'(3,-1)$ 4. $W'(1,-5)$, $X'(6,-3)$, $Y'(1,-1)$, $Z'(-4,…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x\leq - 1$ Number Line: Plot a closed - circle at - 1 and shade to the left.
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the figure below is translated right 5 units. what are the coordinates …
$(6,-5)$
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which ordered pair represents a point on the perpendicular bisector of …
(2, 4)
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the figure below is translated down 5 units. what are the coordinates o…
The coordinates of the image of point B are \((4,1)\)
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which ordered pair represents a point on the perpendicular bisector of …
(3, 3)
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solve the inequality and graph the solution on the line provide -8 + 6x…
> $x>-8$ On the number - line, we use an open circle at - 8 (since the inequality is > and not $\geq$) and draw an arrow to the right.
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2 - 2 transversals practice directions: determine the angle relationshi…
$x = 8$
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2 - 2 transversals practice directions: determine the angle relationshi…
\(x = 8\)
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the total area of the figure to the right is 209 cm². use this fact to …
$x = 4$
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1. if (mangle deg=(5x - 4)^{circ}), (mangle gef=(7x - 8)^{circ}) and (m…
A. $x = 16$ B. $m\angle GEF=104^{\circ}$ C. $y = 11$
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x\geq - 3$ To graph on the number - line: Place a closed circle at - 3 (because the inequality is $\geq$) and draw a line to the right of - 3.
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the figure below is translated left 2 units. what are the coordinates o…
$(3, 2)$
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solve the inequality and graph the solution. 2 - n > -6 to draw a ray, …
The solution of the inequality is $n < 8$. On the number - line, an open circle is at 8 and the ray points to the left.
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6. ∠u and ∠w are vertical angles. if m∠u=(6x + 11)° and m∠w=(10x - 9)°,…
$41^{\circ}$
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6. ∠3 is a complement of ∠4, and m∠3 = 46°. find m∠4. 8. ∠7 is a supple…
\(m\angle4 = 44^{\circ}\), \(m\angle8 = 71^{\circ}\), \(m\angle BAC = 58^{\circ}\), \(m\angle CAD = 32^{\circ}\), \(m\angle EFG = 161^{\circ}\), \(m\angle LMN = 19^{\circ}\)
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5. ∠p and ∠q are supplementary angles. if the m∠p=(4x + 1)° and m∠q=(9x…
\(123^{\circ}\)
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solve for x and graph the solution on the number line below. -x + 3 > 2…
Inequality Notation: $x < 1$ or $x>9$ On the number - line, we have an open circle at 1 and shade to the left for $x < 1$, and an open circle at 9 and shade to the right for $x>9$.
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4. ∠r and ∠s are complementary angles. if the m∠r=(12x - 3)° and m∠s=(7…
\(57^{\circ}\)
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△xyz is translated 4 units up and 3 units left to yield △xyz. what is t…
B. 5 units
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find the distance between the points (2, 4) and (3, 3). write your answ…
$\sqrt{2}$
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2. if $overrightarrow{ab}perpoverrightarrow{cd}$, $mangle dce=(7x + 2)^…
$72^{\circ}$
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find the distance between the points (8, 0) and (3, 4). write your answ…
$\sqrt{41}$
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identify the angle relationship before writing the equation. if m∠knm=(…
$43^{\circ}$
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determine a series of transformations that would map figure f onto figu…
A translation up 8 units followed by a translation right 4 units.
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3. rhombus klmn with vertices k(-3, 2), l(1, 4), m(-1, 0), and n(-5, -2…
$K'(-1,-3)$ $L'(3,-1)$ $M'(1,-5)$ $N'(-3,-7)$
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solve the inequality and graph the solution on the line provided. 7x - …
$\geq$, $x\geq - 6$ On the number - line, you would put a closed circle at - 6 (because the inequality is $\geq$) and shade to the right.
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find the distance between the points (0, 1) and (3, 0). write your answ…
$\sqrt{10}$
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find the distance between the points (1, 0) and (-8, -4). write your an…
$\sqrt{97}$
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solve the inequality and graph the solution on the line provided. -9 + …
Inequality Notation: $x>8$ Number Line: On the number - line, draw an open circle at 8 (because 8 is not included in the solution) and draw an arrow to the right of 8 to represent…
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2. triangle abc with vertices a(0, 7), b(7, 3), and c(1, 4): (x, y)→(x …
$A'(-3,3)$ $B'(4,-1)$ $C'(-2,0)$
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determine a series of transformations that would map figure f onto figu…
A translation 8 units up followed by a translation 4 units to the right.
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find the distance between the points (-1, 4) and (8, -8). write your an…
$15$
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x\geq4$ Number Line: Mark a closed - circle at 4 (because the inequality is $\geq$) and draw an arrow to the right.
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solve the inequality and graph the solution. 4 ≥ \\frac{u}{8}+3 to draw…
The solution of the inequality is $u\leq8$. On the number - line, there is a closed circle at 8 and a ray pointing to the left.
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find the distance between the points (1, 10) and (9, 4). write your ans…
$10$
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8. determine which lines, if any, are parallel. 9. determine which line…
In problem 8, lines \(l\) and \(m\) are parallel, and lines \(n\) and \(p\) are parallel. In problem 9, no lines are parallel.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x<3$ Number Line: On the number - line, you would draw an open circle at 3 (since the inequality is strict, $x$ cannot equal 3) and shade the line to the lef…
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7. determine which lines, if any, are parallel. 8. determine which line…
In the first diagram, \(a\parallel c\). In the second diagram, \(x\parallel z\).
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directions: graph and label each figure and its image. give the new coo…
S'(4,-3) T'(7,-2) U'(8,-5) V'(2,-7)
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solve the inequality and graph the solution. 13d - 20 < 19 to draw a ra…
The solution of the inequality is $d < 3$. On the number - line, an open circle is at 3 and the arrow points to the left.
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6. determine which lines are parallel, if any
Lines \(a\) and \(b\) are parallel, and lines \(c\) and \(d\) are parallel.
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solve the inequality and graph the solution on the line provided. 2x - …
$\leq$ Inequality Notation: $x\leq7$ On the number - line, you would put a closed circle at 7 (because the inequality includes equality, i.e., $\leq$) and shade the line to the le…
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determine which lines, if any are parallel.
The lines with the \(120^{\circ}\) corresponding angles are parallel.
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solve the inequality and graph the solution on the line provided. 3x + …
Inequality Notation: $x\geq - 8$ Number Line: Place a closed - circle at - 8 (because the inequality is $\geq$) and draw a line to the right of - 8.
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5. determine which lines, if any, are parallel. 6. determine which line…
In the first diagram: line \(a\) is parallel to line \(c\). In the second diagram: line \(a\) is parallel to line \(c\), and line \(b\) is parallel to line \(d\).
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solve for x and graph the solution on the number line below. -x + 6 > 2…
Inequality Notation: $x < 4$ or $x\geq11$ On the number - line: There is an open circle at 4 and the line extends to the left for $x < 4$, and there is a closed circle at 11 and t…
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directions: graph and label each figure and its image under the given t…
1. $S'(10,-3)$, $T'(7,-2)$, $U'(8,-5)$, $V'(12,-7)$ 2. $A'(-3,3)$, $B'(4,-1)$, $C'(-2,0)$ 3. $K'(-1,-3)$, $L'(3,-1)$, $M'(1,-5)$, $N'(-3,-7)$ 4. $D'(0,4)$, $E'(4,3)$, $F'(2,-5)$, …
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statements reasons 1. $overline{pq}congoverline{tq},overline{uq}congove…
2. Definition of congruent segments 3. Segment - addition postulate 4. Substitution property 5. Substitution property 6. Transitive property of equality 7. Definition of congruent…
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4. determine which lines, if any, are parallel
Lines \(a\) and \(b\) are parallel, and lines \(c\) and \(d\) are parallel.
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3. a || b if... ∠2≅∠3 ∠2≅∠4 ∠3≅∠5 ∠4
\(\angle3\cong\angle5\)
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question solve the inequality and graph the solution on the line provid…
> , $x>4$ On the number - line, there is an open circle at 4 and the line extends to the right.
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solve the inequality and graph the solution. -3s - 7 ≥ 5 to draw a ray,…
The solution of the inequality is $s\leq - 4$. On the number - line, plot a closed circle at $s=-4$ (because the inequality is $\leq$) and draw an arrow to the left.
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practice: proving parallel - numeric methods 1. determine which lines, …
In the first diagram, no lines are parallel. In the second diagram, lines A and B are parallel, and lines C and D are parallel.
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26. point a is located at (2,2) and the length of the segment is 10 uni…
b. $(-6,-4)$
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graph the image of the figure using the transformation given. give the …
The new coordinates for each reflection can be found using the above - mentioned rules for each individual point in the given figures. For example, for 3) the new points are $S'(5…
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for each of the following, find the distance between the points. 18. (3…
b. $(-6,-4)$
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solve the inequality and graph the solution. $\frac{d}{8}-7leq -8$ to d…
The solution of the inequality is $d\leq - 8$. On the number - line, plot a closed circle at $-8$ (since the inequality is $\leq$) and draw an arrow to the left.
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m∠3 = 82°. find m∠4. m∠4 = __°
\(98\)
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8. the diagram below is the side view of a bookshelf with only one shel…
No, the shelf along $\overline{KM}$ is not parallel to the floor $\overline{JN}$ because the ratios of the corresponding sides of the two triangles formed are not equal.
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for each of the following, find the distance between the points. 18. (3…
18. $2\sqrt{10}$ 19. $\sqrt{146}$ 20. $\sqrt{269}$ 26. B. $(-6,-4)$
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1 complete the sentence with an appropriate intensive pronoun. they rec…
1. themselves 2. c) 72% 3. cognition, recognize, incognito, cognitive, cognizant 4. Vague pronoun: it. Revised sentence: As he was replacing the battery in the remote, he dropped …
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the appropriate - cube or rectangle prism: v = - cylinder: v = - measur…
- Cube or rectangle prism: $V = l\times w\times h$ - Cylinder: $V=\pi r^{2}h$ - Measured in: cubic units (e.g., $cm^{3}$, $m^{3}$)
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6. graph a line that goes through the point (-1, -3) and perpendicular …
Graph the line \(y = 4x+1\) which passes through \((-1,-3)\) and is perpendicular to the given line.
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7. use the figure to match the segment with its length. complete the gi…
$\overline{GF}$: A. 6 $\overline{FC}$: D. 12.5 $\overline{ED}$: B. 17.5 $\overline{FE}$: C. 9 $\triangle AGB\sim\triangle AFC\sim\triangle AED$
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1 a day could begin with glorious sunshine, only to instantly change as…
1. Dangerous or hazardous 2. "foriegn" should be "foreign" 3. Ronald Reagan (a former actor), was the fortieth president of the United States. 4. Us, Objective 5. Arrive
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what is the coordinate of the mid - point of $overline{st}$? write your…
\(-30.5\)
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using context for each item, determine whether the boldface word from p…
2. The knights vowed to never behave in any way that would discredit the honorable reputation of their king. 3. Before you read a chapter in a textbook, do you scan the headings a…
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what is the coordinate of the mid - point of $overline{de}$? write your…
$-0.5$
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using context for each item, determine whether the boldface word from p…
2. The knights vowed to never behave in any way that would discredit the honorable reputation of their king. 3. Before you read a chapter in a textbook, do you scan the headings a…
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what is the coordinate of the mid - point of $overline{kl}$? k l -40 -3…
\(-37.5\)
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sadlierconnect.com: words audio program 9. strife (strīf) (n.) bitter d…
2. The knights vowed to never behave in any way that would discredit the honorable reputation of their king. 3. Before you read a chapter in a textbook, do you scan the headings a…
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what is the coordinate of the mid - point of $overline{gh}$? write your…
$0.5$
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graph the set {x | 5 < x < 7} on the number line. then, write the set u…
On the number - line, mark open circles at 5 and 7 and shade the region between them. The interval notation is \((5,7)\)
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what is the coordinate of the mid - point of $overline{gh}$? write your…
$1.5$
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6. find a.
$a = 4.75$
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graph the set {x | x < 2} on the number line. then, write the set using…
On the number - line: Open circle at 2, shade to the left. Interval notation: $(-\infty,2)$
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5. find x and y
$x = 2.25$, $y = 3$
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in the figure, m∠1=(5x)° and m∠2=(x - 24)°. (a) write an equation to fi…
(a) Equation: $5x+(x - 24)=180$ (b) $m\angle1 = 170^{\circ}$, $m\angle2 = 10^{\circ}$
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4. if $ac = 18$ and $ab = 15$, find the value of $x$.
\(10\)
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1.) leah had 2/3 pounds of flour. she used 1/4 of what she had to bake …
1. $\frac{1}{6}$ 2. $\frac{1}{4}$ (Note: Drawing a visual model for $\frac{4}{8}\div2$ could involve drawing a rectangle divided into 8 equal parts, shading 4 of them to represent…
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arc ef subtends central angle θ. if the length of arc ef equals 30 inch…
12
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3. ab or x = __________
$7.5$
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34. the area of a rectangle is found by multiplying the length by the w…
B. $x - 10$
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9. on monday, you run on a treadmill for 1/2 hour at x miles per hour. …
3 miles ### 10.
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2. ab = ____________
$15$
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find the length of $overline{ab}$. 1. $ab=$__________
$10$
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match each compound inequality on the left to the graph that represents…
1. $8x < 24$ and $-8\leq2x - 4$ matches the graph with a closed - circle at $x=-2$ and an open - circle at $x = 3$. 2. $5x - 2>13$ or $-4x\geq8$ matches the graph with a closed - …
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surface area = ________
308 in²
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in the diagram, m∠lmn = 116, m∠jkm = 122, and m∠jnm = 103. what is m∠nk…
19
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question 4 2 pts express the area of the entire rectangle. your answer …
$x^{2}+6x + 8$
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7) 12 ft 7 ft 2 ft surface area = ____________
244 square - feet
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in the figure below, m∠1=(x + 18)° and m∠2 = 5x°. find the angle measur…
$m\angle1 = 30^{\circ}$ $m\angle2 = 60^{\circ}$
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consider the limaçon with equation $r = 3 + 4cos(\theta)$. how does the…
For the limacon of the form $r = a + b\cos(\theta)$ (in our case $r=3 + 4\cos(\theta)$, so $a = 3$ and $b=4$), when $\frac{b}{a}>1$, the curve is a limacon with an inner - loop. S…
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21. if △acb≅△jkl, which of the following must be a correct congruence s…
B. $\overline{AB}\cong\overline{JL}$, C. $\angle B\cong\angle K$, D. $\triangle BAC\cong\triangle LKJ$
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a circle has a diameter with endpoints at -2 + i and -6 - 11i. what is …
B. $-4 - 5i$