Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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5. refer to the figures shown. identify the transformation that has occ…
C. Reflection across a vertical line
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c is between a and e. for each problem, draw information given. solve f…
\( 37 \) inches
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1. find the area of the shape below. justify your answer.
The area of the blue shape (triangle) is \(\boldsymbol{22}\) square units (assuming each grid square has side length 1 unit).
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use the figure to the right to answer each question. 7. name four point…
O, L, M, N
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grid with two mitten - shaped figures (one outlined, one shaded) and a …
The mitten is translated 1 unit to the right and 4 units down (or in vector form, the translation vector is \((1, - 4)\) if we consider upward as positive y - direction, but if we…
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diagram with two parallel horizontal lines, a transversal forming 117° …
\(x = 61\)
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what is the perimeter of quadrilateral vwxy? write your answer as an in…
\(28.7\)
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12, x, (12x - 5)°, 85°, y, z, w, m ∠xyz = 128°
$x = 4$
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drawing lines and parts of lines draw and label each of the following. …
A line with arrows at both ends, labeled \(A\) and \(B\) on either end.
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find the value of the variable and the measure of each abject angle. x …
27
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what is the area of δefg? coordinate grid with y-axis (range -10 to 10)…
11
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11, 56°, (4x + 112)° (with intersecting lines: vertical and slanted)
\(x = 3\)
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10. evaluate the expression for the area of a regular polygon ( a = \fr…
\(60\sqrt{3}\) (or approximately \(103.9\) if a decimal approximation is needed) ### Question 11
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1. what is the angle relationship between the 2 identified angles? diag…
\(110^\circ\) ### Problem 2
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unit 1 – lesson 2 exit ticket: in the diagram shown, circles with cente…
The perimeter of quadrilateral \( ACBD \) is \( 16 \, \text{cm} \). This is because \( AC \) and \( AD \) are radii of circle \( A \) (each \( 5 \, \text{cm} \)) and \( BC \) and …
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question 5 (mandatory) (2 points) saved determine which fraction in the…
The greater fraction is $\boldsymbol{\frac{7}{3}}$ (the option with "The greater fraction is $\frac{7}{3}$")
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proving statements about segments and angles > section exercises 2.5 > …
To solve the proof, we analyze each step: ### Step 1: Reason for \( \angle 2 \cong \angle 3 \) We need to determine the reason. Since no specific info is given here, but looking a…
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10 (7x)° 34°
\(x = 8\)
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name each point, line, line segment, or ray. 1. 2. 3. 4. 5. 6. 7. 8. 9.
1. Ray \( \overrightarrow{XY} \) 2. Line Segment \( \overline{DE} \) 3. Points \( S \), \( T \) 4. Line \( \overleftrightarrow{WX} \) 5. Ray \( \overrightarrow{CD} \) (or \( \over…
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c is between a and e. for each problem, draw a picture representing the…
\( 37 \) in. ### Problem 6
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the distance halfway across the circle is called the... ○ radius ○ circ…
A. radius
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two parallel lines are cut by a transversal, forming adjacent angles ((…
\(x = 100\)
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3 statements: pq = rs pq + qr = rs + qr blank rs + qr = qs pr = qs :: p…
To solve this proof, we analyze each step: ### Step 1: Analyze \( PQ = RS \) - **Statement**: \( PQ = RS \) - **Reason**: Given (as provided in the table) ### Step 2: Analyze \( P…
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two angles are complementary. if one angle measures 65°, what is the me…
25 (la opción correspondiente es la primera: 25)
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9 (28x + 50)° 134°
\( x = 3 \)
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puntos posibles 3 which best describes the number of lines that can be …
1. Exactly one line
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write a two - column proof for the following. given: m∠2 = 30; m∠1 = 2m…
60
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graph with a coordinate grid (chart) showing a line. below the graph: (…
\(y = 2x - 3\) (corresponding to option C)
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write a two - column proof for the following given: ( mangle2 = 30 ) ( …
60
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two angles are complementary. if one angle measures 65°, what is the me…
25 (la opción correspondiente es la primera: 25)
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draw the picture of the segment described, then write the segment addit…
The diagram is a line segment with points Q, C, R in order (Q---C---R). The Segment Addition Postulate is \( QC + CR = QR \). ### Problem 4: T is between M and N
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statements: 1) ( mangle 2 = 30 ) 2) ( mangle 5 = mangle 2 ) 3) ( mangle…
If we consider the substitution of \( m\angle4 = 90^\circ \) (or \( m\angle2 = 90^\circ \)) into the equation, the value in the square is \( 90 \) (or if we consider \( m\angle2 -…
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diagram shows intersecting lines: a horizontal line (left and right arr…
\(x = 5\)
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always show all work to receive full credit. lesson 10: a map of a park…
The map with a scale of 1 inch to 500 feet is larger.
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match the items. a transformation that moves every point on a figure a …
### 1. First item: "A transformation that moves every point on a figure a given distance in a given direction." - Explanation: The definition matches "Translation" (moving a figur…
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find the value of the variable and yz if y is between x and z. 10. xy =…
\( c = 18 \), \( YZ = 72 \) ### Problem 11: Given \( XY = 6b \), \( YZ = 8b \), \( XZ = 175 \)
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select the best evidence to support the statement that jem and the narr…
"I maintain that the Ewells started it all, but Jem, who was four years my senior, said it started long before that"
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write a two - column proof for the following given: ( mangle2 = 30 ) ( …
Vertical Angles Theorem
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perspective drawings recall from the text, that a perspective drawing i…
Yes, the drawing represents a perspective drawing.
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a straight line with two angles: (23x)° and 134°, forming a linear pair…
\(x = 2\)
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9) select 2 that apply. diagram with angles labeled ∠1, ∠2, ∠3, ∠4, ∠5,…
$\angle7$ and $\angle9$ (or other possible correct pairs based on the diagram's actual adjacent angles, but among the given options, $\angle7$ and $\angle9$ are the most probable …
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if the perimeter of this triangle is 130 cm, form an equation in terms …
\(x = 7\)
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the area formula for a triangle is ( a = \frac{1}{2}bh ). the area of t…
12
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6. the rectangle in the diagram provided has a perimeter of 7y + 91 cen…
\(y = 9\)
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write a two - column proof for the following. given: ( mangle2 = 30 ) (…
30
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dear mr, halverson: i am writing to inquire about existing or anticipat…
a. Prospecting cover letter
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6 the rectangle in the diagram provided has a perimeter of 7y + 91 cent…
\( 7y + 91 = 14y + 28 \) (the option with this equation)
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to measure a stone face carved on the side of a mountain, two sightings…
\( 57.20 \) (rounded to two decimal places)
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solve for ( x ) and graph the solution on the number line below. if pos…
Inequality Notation: \(x \geq 7\) Number Line: (To graph \(x \geq 7\) on a number line, draw a closed circle at 7 and shade to the right of 7.)
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6 52° (5x + 18)°
\(x = 4\)
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unit 1 – lesson 3 exit ticket: given points r, t, and y shown below, do…
s: (a) (Diagram: Rays from \(R\) through \(T\) and \(R\) through \(Y\)) (b) \(\boldsymbol{\angle TRY}\) and \(\boldsymbol{\angle YRT}\) (c) (Depends on the actual angle, e.g., if …
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the rectangle in the diagram provided has a perimeter of 9y + 68 centim…
\( 9y + 68 = 14y + 28 \) (the option with this equation)
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solve for x and graph the solution on the number line below. if possibl…
Inequality Notation: \(x < 9\) (For the number line: Draw an open circle at 9 (since it's \(x < 9\), not \(x \leq 9\)) and shade the line to the left of 9.)
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20. if $overrightarrow{ef}$ bisects $angle ceb$, $mangle cef = 7x + 21$…
\( \boxed{26^\circ} \)
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name ______ date ______ lesson 1.1 practice continued for use with the …
The four - legged stool.
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to measure a stone face carved on the side of a mountain, two sightings…
The height of the stone face is approximately \(\boldsymbol{49}\) feet (or more precisely, around 48.95 feet).
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it seems like you might be trying to rearrange the equation. lets focus…
\( 72 = 2((2x - 3)+x) \) (or the simplified form \( 72=6x - 6 \))
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youve already found the length is 2x - 3 and the width is x. can you us…
The expression for the width (assuming rectangle) is \( 39 - 2x \)
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write a paragraph proof for the following given: ( mangle abc = 114 ) (…
First blank: 66 Second blank: ∠ABC Third blank: 180 Fourth blank: ∠GHF Fifth blank: Supplements
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youve already found that the length is 2x - 3 and the width is x. can y…
The equation for the perimeter is \( 6x - 6 = 72 \) (If we are just writing the equation. If we need to solve for \( x \): ## Step6: Solve for \( x \) Add 6 to both sides: \( 6x -…
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underline the subject. then circle the correct verb. 1. the sea environ…
### Underline the subject. Then circle the correct verb. 1. **Subject**: The sea environment **Correct Verb**: is (circle "is") *Explanation*: "The sea environment" is singular, s…
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19. if $overrightarrow{mo}$ bisects $angle pmn$, $mangle pmn = 74^circ$…
\( x = 15 \)
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solve for x and graph the solution on the number line below. $-7 \\leq …
Inequality Notation: \(-7\leq x\leq12\) For the number line: We mark a closed circle at \(-7\) and \(12\) (since the inequality is "less than or equal to" and "greater than or equ…
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6 52° (5x + 18)°
\(x = 4\)
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solve for ( x ) and graph the solution on the number line below. ( 16 <…
Inequality Notation: \(3 < x\leq6\) For the number line: We draw an open circle at \(x = 3\) (since \(x>3\), not including 3) and a closed circle at \(x = 6\) (since \(x\leq6\), i…
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18. if $overrightarrow{uw}$ bisects $angle tuv$, $mangle tuw = 13x - 5$…
\( x = 6 \)
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solve for x and graph the solution on the number line below. $-2x + 1 <…
Inequality Notation: \(5 < x \leq 7\) (For the number line: Plot an open circle at 5, a closed circle at 7, and shade between them.)
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solve the right triangle abc, where c = 90°. a = 77.2 yd, b = 41.7 yd c…
\( c \approx 87.7 \) yd \( A \approx 61^\circ 40' \) \( B \approx 28^\circ 20' \)
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② akasha is covering her patio with stone tiles that are \\(\\frac{1}{2…
120 ### Part (b)
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5 x w 50° (3x + 14)° y z m∠xyz = 70°
$x = 2$
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solve for ( x ) and graph the solution on the number line below. ( 26 <…
The solution for \(x\) is \(4 < x < 12\). To graph this on a number line, draw an open circle at 4 and an open circle at 12, then shade the region between them.
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inequality notation: ( x > 4 ) or ( x < 12 ) number line: number line f…
The inequality \(x > 4\) or \(x < 12\) (or \(x\geq4\) or \(x < 12\) if the closed circle at \(4\) is correct) represents all real numbers. The number line should have a closed cir…
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solve the right triangle using the given information. a = 75.3 yd, b = …
$c = 85.4$ yd $A = 61^\circ 50'$ $B = 28^\circ 10'$
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select the dependent clause. after francis scott key witnessed an inten…
After Francis Scott Key witnessed an intense British attack on Fort McHenry during the War of 1812
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convert the following radian measure to degrees. -5.92701 radians = \\(…
$-339^\circ 36'$
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question 4: in the diagram with intersecting lines (horizontal and diag…
\(x = 8\)
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slope is the blank of a line. it is also known as the blank rate of cha…
To solve this fill - in - the - blank about slope, we analyze each blank based on the concepts of slope: ### 1. First blank: Slope is defined as the steepness of a line. So the fi…
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if m∠rxu = 67°, then what is m∠uxs? answer attempt 1 out of 2 m∠uxs = °…
113
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1 vanessa wants to cover her closet floor with tiles that are \\(\\frac…
180 ### Part b
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if m∠cgb = 78°, then what is m∠dga? answer attempt 1 out of 2 m∠dga = °…
$78$
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what coordinate does a plane have? an xy coordinate an xz coordinate a …
an XY coordinate
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if m∠bgc = 114°, then what is m∠agd? answer attempt 1 out of 2 m∠agd = …
$114$
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17. ∠j and ∠k are complementary angles. the measure of ∠j is 18 less th…
The measure of $\angle J$ is $36^\circ$ and the measure of $\angle K$ is $54^\circ$.
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if m∠dhe = 82°, then what is m∠dhf? diagram showing lines intersecting …
98
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a frequent problem in surveying city lots and rural lands adjacent to c…
# Explanation: ## Step1: Identify the components of the lot The lot can be divided into three parts: a right - angled rectangle (or a right - angled parallelogram), a sector of a …
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if m∠ehd = 106°, then what is m∠fhc? diagram: lines with points a, b, c…
74
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1 vanessa wants to cover her closet floor with tiles that are \\(\\frac…
180 ### Part b
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 47 \), \( y = 133 \)
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given ( m parallel n ), find the value of ( x ) and ( y ).
$x = 115$, $y = 65$
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a circular sector has an area of 27 in.². the radius of the circle is 3…
18
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 127 \), \( y = 53 \)
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a center-pivot irrigation system provides water to a sector-shaped fiel…
\( 1640 \)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 38 \), \( y = 142 \)
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(30x + 4)° and 86° formed by intersecting lines (diagram shows intersec…
\(x = 3\)
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usage quick check which sentence uses an apostrophe correctly in a plur…
The basketball players' lockers will be cleaned out on Friday. The United States' national anthem is "The Star - Spangled Banner."
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find the area of a sector of a circle having radius r and central angle…
\( 87.3 \)
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suppose the tip of the minute hand of a clock is 2 in. from the center …
The distance traveled is \( 18\pi \) inches (or approximately \( 56.55 \) inches).
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 47 \), \( y = 133 \)
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find the distance between points a and x.
$\frac{1}{2}$
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refer to the figure to the right. (a) how many inches will the weight i…
\( \approx 12.91 \) inches ### Part (b)