Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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9 if the diagonals of a quadrilateral bisect each other, then the quadr…
A. True
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fill in the missing statement and reason of the proof below. given: \\(…
The missing statement is \( \overline{EA} \cong \overline{EB} \) and the reason is "In a triangle, sides opposite congruent angles are congruent". (Assuming the missing part is to…
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asem is definitely a parallelogram. a. true b. false
B. False
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use the diagram of a right isosceles triangle to answer the question. d…
D. \(\sqrt{72}\) cm
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a cylinder and a cone have the same volume. the cylinder has a radius o…
C. 9 inches
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if two opposite sides of a quadrilateral are parallel and congruent, th…
A. True
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8. if both pairs of opposite sides of a quadrilateral are congruent, th…
A. True
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4 if abcd is a parallelogram, what is the value of x? a. 37 b. 46 c. 38…
F. 44
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a) lines x and y are parallel lines. x 80° 2x+22° y
The value of \(x\) is \(\boldsymbol{29}\)? Wait, no, wait, if we assume alternate interior angles: Wait, maybe I made a mistake in the angle relationship. Let's look at the diagra…
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d) diagram of two parallel lines cut by a transversal, with one angle l…
\( z = 71 \)
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c) a (left arrow, right arrow) with a transversal line, forming an angl…
\( n = 121 \)
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identifying transformations match each representation of a transformati…
To fully solve, we match each transformation description (not shown, but from the rules): - Vertical down 10: \(\boldsymbol{(x,y) \to (x, y - 10)}\) - Reflect over \(y\)-axis: \(\…
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if ru = 59 and pq = 77, what is st? st = submit
\( 41 \)
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5. what is the volume of the smallest square - based prism that would h…
\(80000\space cm^{3}\) ### Question 6:
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1. circle all of the following that are between 10 and 40. 3² □ 4² □ 5²…
Circle \(4^2\), \(5^2\), \(6^2\) ### Problem 2:
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en los problemas 6 a 9, indica si un triángulo con las longitudes de la…
True (the triangle with sides $\frac{9}{2}$, $6$, $\frac{15}{2}$ is a right triangle)
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name: date: 11 this question has two parts. first, answer part a. then,…
Part A: C. Eerie Part B: The highlighted passages that demonstrate the answer in Part A (mood of "Eerie") are B. and he let himself sink down and down to the bottom like a golden …
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6. (image of two quadrilaterals labeled a and d, with side lengths: a h…
The two figures are not similar because their corresponding side ratios ($\frac{24}{12}=2$, $\frac{15}{12.8}\approx1.17$, $\frac{17}{19.2}\approx0.89$, $\frac{16}{13.6}\approx1.18…
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name: date: selection test 11 this question has two parts. first, answe…
Part A: C. Eerie Part B: The highlighted passages that demonstrate the answer in Part A are (assuming the relevant ones are) B. and he let himself sink down and down to the bottom…
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multiple choice 1 point simplify the following expression using the rul…
A. \( x^6 y^4 z^8 \) (assuming the first option is this; if the options are labeled with circles, the first circle's option is correct)
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3 ivy will rotate abc using the rule (x, y) → (-x, -y). statement\tt/f?…
- False statement: "The location of \(C'\) will be \((-2,5)\)" - Rewritten true statement: "The location of \(C'\) will be \((2, - 5)\)" - The statement "Ivy will rotate the trian…
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name: date: test 11 this question has two parts. first, answer part a. …
C. Eerie ### Part B (Question 1.2)
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o is the center of the regular dodecagon below. find its perimeter. rou…
The perimeter of the regular dodecagon is approximately $\boxed{24.8}$ (or more accurately, if we calculate with more precision, using $s = 2\times4\times\sin(15^\circ)$, perimete…
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mesoamerica still use this calendar today. in the tzolkin calendar, dat…
C. Many different days will have the same date, since dates repeat every 260 days.
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1. parallelogram abcd is similar to parallelogram efgh. what is the len…
(Problem 1): \( \overline{GH} = 7 \) in? Wait, no, wait, maybe the ratio is \( AB/EF = 21/7 = 3 \), so \( GH = AB / 3 = 7 \). Yes. ### Problem 2: Similar Rectangular Prisms (Find …
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each figure is a regular polygon. expressions are given for two side le…
\( x = 3 \) ### Problem 20 (Regular Triangle/Equilateral Triangle)
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tell whether the statement is always, sometimes, or never true. 15. a c…
sometimes true ### Problem 16:
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find the missing length indicated. 3. find cd 4. find df (image of tria…
\( 8 \)
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draw a figure that fits the description. 11. a hexagon that is not regu…
# Explanation: ## Step 1: Analizar la pregunta 11 Para dibujar un hexágono no regular, debemos recordar que un hexágono regular tiene todos los lados y ángulos iguales. Entonces, …
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8. the lengths (in meters) of two sides of a regular triangle are repre…
The length of a side of the triangle is \( \boldsymbol{16} \) meters. ### Problem 9:
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classify the polygon by the number of sides. tell whether the polygon i…
El polígono es un **cuadrilátero** (4 lados). Es **equilátero** (todos los lados de 4 in son iguales), **equiangular** (todos los ángulos son 90°) y **regular** (por ser equiláter…
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12 ft, 8, ft, 20 ft, 40 ft, 96 ft, 6 ft
40 ft (corresponding to the option with 40 ft, e.g., the option labeled "40 ft")
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1.6 worksheet tell whether the figure is a polygon. if it is not, expla…
Not a polygon (has a curved side). ### Problem 2:
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11 which equation is the best approximate for the line? ( y = \frac{1}{…
\( y = \frac{1}{3}x - 1.7 \) (the first option, with the red dot)
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17. in the diagram below, $\\triangle abc$ is the image of $\\triangle …
B. \( B'C' = 3BC \) ### Question 18
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17. in the diagram below, △abc is the image of △abc after a transformat…
D. a dilation with a scale factor of 2 and centered at the origin
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13. a line segment is dilated by a scale factor of 2 centered at a poin…
C. The line segments are parallel, and the image is twice the length of the given line segment. ### Question 14
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9. given $\\triangle prs \\cong \\triangle cfh$, find the values of $x$…
\(x = 23\), assuming \(2x - 7 = 39\) (corresponding side to \(CH = 39\)), \(y = 24\) (corresponding side to \(CF = 24\)), and for z, if we take the user's note \(6z - 4 = 100\) (e…
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7. a line is dilated by a scale factor of \\( \\frac{1}{2} \\) centered…
D. The image of the line and the pre - image are the same. ### Question 8
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4. the line whose equation is 6x + 3y = 3 is dilated by a scale factor …
B. \(y = - 2x+2\) ### Question 5
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identify the angle relationship using the picture below: ∠1 and ∠6 are …
For ∠5 and ∠7: same - side interior angles; For ∠1 and ∠6: (maybe a different relationship, but based on the options, if we take ∠5 and ∠7, the answer is same - side interior angl…
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drag the red and blue dots along the x-axis and y-axis to graph $2x - 6…
To graph the equation \(2x - 6y = 18\), we find the x - intercept and y - intercept: ### Step 1: Find the x - intercept (set \(y = 0\)) Substitute \(y = 0\) into the equation \(2x…
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1. the line represented by the equation 5x - 2y = 10 is transformed by …
A. is the original line ### Problem 2
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question 24 1 pts this drawing is an example of a ______. options: - re…
D. translation ### Question 25 (Partially Visible, Assuming Reflection - Based on the Visible Shapes)
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question 25 1 pts this drawing is an example of a ______. options: refl…
A. reflection
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question 24 1 pts this drawing is an example of a ______. grid with two…
D. translation ### Question 25 (Note: Since the image is cut off, assuming it's a common transformation question. If the two shapes are mirror - images of each other, for example,…
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question 23 1 pts this drawing is an example of a ______. image of a co…
D. translation ### Question 24 (assuming the lower figure is a translation or reflection, but since the image is cut, if we assume it's a translation (sliding) or reflection. But …
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question 22 1 pts this drawing is an example of a ______. grid with two…
B. translation (assuming the option for translation is labeled as such, if the options were labeled A: rotation, B: translation, C: pentagon, D: reflection, then the answer is B. …
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question 21 1 pts this drawing is an example of a ______. grid with a s…
D. rotation ### Question 22 Since the image for Question 22 is incomplete (the drawing is cut off), we can't accurately determine the answer. Please provide the complete image or …
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question 20 1 pts this drawing is an example of a ______. (grid with tw…
C. rotation
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question 19 1 pts in the diagram, △xyz is the image of △xyz. which type…
A. translation ### Question 20 The image is cut off, but if we assume it's about transformations (since it's a grid - based drawing with a polygon), and given the partial view (a …
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question 18 1 pts in the diagram, △abc is the image of △abc. which type…
A. reflection ### Question 19 (assuming the diagram shows a translation, as the triangles \( \triangle XYZ \) and \( \triangle X'Y'Z' \) seem to be moved without flipping, resizin…
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question 17 1 pts triangle abc is an image of the other triangle. what …
A. reflection ### Question 18 (Incomplete Diagram Note) Since the diagram for Question 18 is partially visible, we assume a similar transformation analysis. If the diagram shows a…
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question 16 1 pts triangle abc is an image of the other triangle. what …
B. rotation
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question 15 1 pts in the diagram, △a′b′c′ is the image of △abc. which t…
C. slide (assuming options are labeled as such, with the third option being "slide") ### Question 16 (Note: The diagram for Question 16 is partially visible, but assuming a typica…
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a trapezoid is in the third quadrant of an x-y coordinate system, as sh…
I, II and III
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a triangle is in the first quadrant of an x-y coordinate system, as sho…
I and III only (the option with "I and III only")
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using the coordinate plane, which of the following statements would res…
The correct option is: Figure \(ABCD\) is reflected across the \(x\)-axis.
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question 11 1 pts image of coordinate plane with figure abcd using the …
Figure \( ABCD \) is reflected across the \( y \)-axis.
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question 10 1 pts which of the following is the correct mapping for sha…
C. \((x, y) \to (-x, y)\) (assuming the third option is labeled C; if original labels are A - D, adjust accordingly. From the options, the third option: \((x, y) \to (-x, y)\))
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in the diagram, k and k are congruent. which of the following is a way …
a rotation of \(180^\circ\) about the origin
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in the diagram, m and m are congruent. which of the following is not a …
a reflection across the \(y\)-axis, then a translation down 2 units ### Question 2
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question 7 1 pts what is the mapping for the reflection where △abc maps…
\((x, y) \to (-x, y)\) (the fourth option)
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question 6 1 pts a translation maps j(1,4) onto k(7,-3). find the coord…
\( (11, 3) \) (corresponding to the option with this coordinate, e.g., if the option is labeled with this, it would be the correct one)
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question 5 1 pts which of the following is the correct mapping for shap…
\((x,y)\to(-x,y)\) (the last option among the given options)
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what is the mapping for the reflection where $\\triangle abc$ maps to $…
\( (x, y) \to (x, -y) \)
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question 3 1 pts a translation moves a(-3,2) to a(0,0). find b, the ima…
\( (8, 2) \) (corresponding to the option with \( (8,2) \))
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in the diagram, m and m are congruent. which of the following is not a …
a reflection across the y - axis, then a translation down 2 units ### Question 2 (Transforming \(\triangle STV\))
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3. complete the table. | triangle | vertical side length | horizontal s…
A. - Line A: $\frac{3}{2}$ - Line B: 0.25 - Line C: 1 - Line D: 2 - Line E: $\frac{1}{3}$ - Line F (to draw): $\frac{1}{2}$ (draw a line with rise 1, run 2, e.g., from (0,0) to (2…
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question 23 1 pts this drawing is an example of a ______. grid with two…
D. translation
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the y-intercept is ( , ). the x-intercept is ( , ). the slope is
El intercepto y es \( (0, 12) \), el intercepto x es \( (8, 0) \) y la pendiente es \( -\frac{3}{2} \).
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what is the x-intercept? enter a point. ( , )
(2, 0)
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unit 6 test multiple choice identify the choice that best completes the…
a. \(LP = 6\), \(BL = 9\)
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1. the figure shows three right triangles, each with its longest side o…
| Triangle | Vertical side length | Horizontal side length | |----------|----------------------|------------------------| | ABC | 3 | 4 | | CDE | 6 | 8 | | FGH | 1.5 | 2 | Notice:…
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1 drag and drop the correct answers based on the graph below. the verte…
El vértice es \( (3, 32) \) La y - intercept es \( 14 \) (o \( (0, 14) \))
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a line segment has endpoints at (-4, -6) and (-6, 4). which reflection …
a reflection of the line segment across the \( y \)-axis
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name: ______________ date: ______________ notice and wonder (graph with…
## What do you notice? - All lines pass through the origin \((0,0)\), so they represent proportional relationships (\(y = mx\) form). - Lines have different slopes (steepness): so…
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reflect triangle efg across the line y = x. plot a point for each verte…
Reflect each vertex \((x, y)\) to \((y, x)\) and plot the new points. For example, if \( E=(4,5) \), \( F=(2,4) \), \( G=(2,1) \), their reflections are \( (5,4) \), \( (4,2) \), …
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use similar triangles and a proportion to find the length of the lake s…
48
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use similar triangles to solve. a person who is 5 feet tall is standing…
The height of the tree is 60 feet.
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using the given information below, which test for parallelograms proves…
Opposite sides are congruent
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using the given information below, which test for parallelograms proves…
One pair of opposite sides is parallel and congruent (the last option in the list: "One pair of opposite sides is parallel and congruent")
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using the given information below, which test for parallelograms proves…
B. Opposite sides are parallel (assuming the second option is labeled as B, if the options are labeled as A, B, C, D with A: Opposite angles are congruent, B: Opposite sides are p…
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using the given information below, which test for parallelograms proves…
The diagonals bisect each other
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question 5 using the given information below, which test for parallelog…
All pairs of consecutive angles are supplementary
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question 2 given wxyz is a parallelogram, what is the measure of ∠z? op…
35° (the option with 35°)
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question 2 given wxyz is a parallelogram, what is the measure of ∠z? im…
\(35^\circ\) (the option with \(35^\circ\))
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question 3 given abcd is a parallelogram, solve for x. (parallelogram a…
1
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given wxyz is a parallelogram. if wy is 12, then what is the length of …
6
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question 5 given abcd is a parallelogram, solve for x. (30 + 5x)° (15 +…
9
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2. what are the new coordinates of the line segment ab after the triang…
(0, 2) and (10, 2) (the option with (0, 2) and (10, 2))
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question in \\(\\triangle opq\\), \\(q = 75\\) cm, \\(m\\angle o = 113^…
91
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question in \\( \\triangle ijk \\), \\( i = 100 \\) inches, \\( m\\angl…
43
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question in δtuv, u = 380 inches, m∠v = 151°, and m∠t = 25°. find the l…
\boxed{2299.3} (Wait, but let's check with calculator again. 380*sin(25°)/sin(4°). Let's use more precise values. Sin(25°)=0.42261826174, sin(4°)=0.06975647374. 380*0.42261826174=…
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question in δmno, m = 8.5 inches, m∠n = 52° and m∠o = 23°. find the len…
\(3.4\)
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question in δfgh, f = 600 cm, m∠f = 32°, and m∠g = 12°. find the length…
\(179.6\)
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two parallel lines are crossed by a transversal. what is the value of b…
\(b = 52\) (corresponding to the option \(b = 52\))
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given: lines a and b are parallel and line c is a transversal. prove: ∠…
alternate interior angles theorem
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a is equidistant to b and c. find bd. bd = ? b 5x + 7 d 2x + 22 c
22
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a is equidistant to b and c. find bd. bd = ? b 3x + 5 d 7x - 3 c
11