Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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part 4: why do wars start? below is a list of reasons wars may begin. c…
Two possible choices: Power and Land (or other combinations like Money and Protection, etc., based on analysis of war causes). For example, **Power** (nations often start wars to …
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question 16 (multiple choice worth 1 points) (05.06r mc) two boats star…
213.2 ft (closest to calculated value 386.05 ft correction: recalculation error corrected: ## Step1: Find length of BC $\tan(66^\circ)=\frac{300}{BC} \implies BC=\frac{300}{\tan66…
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the surface area of a rectangular prism is increased by a factor of 16.…
64 (corresponding to the option with 64)
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if $\\angle e$ measures $45^\\circ$, $\\angle f$ measures $98^\\circ$, …
7 feet --- ### Second Problem (Question 15)
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question 12 calculate the area of triangle abc with altitude cd, given …
15 square units --- ### Question 13
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leo drew a line that is perpendicular to the line shown on the grid and…
$\boldsymbol{y - G = -\frac{1}{3}(x - F)}$ --- ### Second Question
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the two triangular prisms shown are similar. what is the volume of the …
\(144\ m^3\) (the option is D. \(144\ m^3\))
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the volumes of two similar solids are $210\\,\\mathrm{m}^3$ and $1,680\…
214 m² (corresponding to the option "214 m²")
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what is the height, in feet, of the portion ab of the lamppost?\\(\frac…
$20\tan55^\circ$ ---
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this question has two parts. first, answer part a. then, answer part b.…
## Part A: $8 - \frac{x}{3} \geq 11$ ## Part B: C) $x \leq -9$ (with the number line showing a closed dot at -9 and an arrow pointing left towards negative infinity)
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cylinders a and b are similar solids. the base of cylinder a has a circ…
\(\frac{3}{2}\) (corresponding to the option \(\boldsymbol{\frac{3}{2}}\))
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the figure below is dilated by a factor of 4 centered at the origin. pl…
The dilated image has vertices at $(0, -12)$, $(8, 8)$, and $(-8, 4)$. Connect these three points to form the dilated triangle.
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a horse corral is represented by triangle xyz. if ( mangle x = 65^circ …
52 ft --- ### Second Question
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x - 6y > 18
To graph \(x - 6y>18\): 1. Rewrite as \(y<\frac{1}{6}x - 3\). 2. Draw a dashed line \(y=\frac{1}{6}x - 3\) (through \((0,-3)\) and \((18,0)\)). 3. Shade the region below the dashe…
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the ratio of horizontal distance to height of the ramp is 13:1. a build…
B. No. The length of the ramp is $\sqrt{170}$ feet. The rubber mat will be too short.
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the corner of a room where two walls meet the floor should be a right t…
If the distance across the floor from one mark to the other is $\boldsymbol{15}$ inch(es), then the **converse of the Pythagorean Theorem** says that because $9^2 + 12^2 = \boldsy…
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you are going to use an incline plane to lift a heavy object to the top…
14.9
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find x. this problem must use the full sides of triangles as a solution…
\( x = 15 \) (following the given solution's steps, although there might be a mis - proportion setup, but as per the provided solution calculation, \( x = 15 \))
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a cube has an edge length of 9 centimeters. if the side length is incre…
72 cm (Option: 72 cm)
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18 if the length of \\( \\overline{ab} \\) is 13 millimeters, what is t…
\( x = 6 \) ### 20b Solution:
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what are complementary colors? explain below, what complementary colors…
Complementary colors are pairs of colors opposite each other on the color wheel (e.g., red - green, blue - orange, yellow - purple) that contrast strongly and can mix to a neutral…
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15 fill in the chart below property parallelogram rectangle rhombus squ…
### Question 15: Fill in the Chart (Quadrilateral Properties) To fill the chart, we use the definitions and properties of each quadrilateral: #### 1. **Parallelogram** - Opposite …
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solve for x and graph the solution on the number line below. 8x < 0 ans…
Inequality Notation: $x < 0$ Number Line: An open circle at $0$ with a shaded arrow pointing to the left.
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solve for x and graph the solution on the number line below. 6x > 60 an…
Inequality Notation: $x \> 10$ Number Line: Open circle at 10 with a shaded arrow pointing to the right.
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literacy and vocabulary proving triangles similar the column on the lef…
1. The length of side $\overline{EF}$ (or the value of $x$) 2. The SAS (Side-Angle-Side) Similarity Theorem states that if two sides of one triangle are proportional to two sides …
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problem 7 a silo is a large cylindrical container used on farms to hold…
Approximately \(\boxed{670}\) cubic feet (or more precisely around 670.21, which can be rounded as needed)
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solve the inequality and graph the solution on the line provided. -5 - …
Inequality Notation: $x \ge 4$ Number Line: A closed circle at $4$ with a ray extending to the right.
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a triangle on a coordinate plane is translated according to the rule ( …
\((x,y)\to(x - 8,y + 4)\) (the first option among the given ones with this rule)
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solve the inequality and graph the solution on the line provided. 7x + …
Inequality Notation: $x \ge 3$ Number Line: A closed circle at $3$ with a shaded arrow pointing to the right.
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which theorem or postulate proves that △ abc and △ def are similar? ○ s…
AA Similarity Postulat
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item 1 $\\triangle rbw$, $\\triangle rfh$, and $\\triangle ryg$ are sho…
\(\boldsymbol{\frac{3}{3\sqrt{2}}}\) (corresponding to the option \(\frac{3}{3\sqrt{2}}\))
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style 1: the similar triangles are two separate triangles. find x: crea…
\( x = 20 \)
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note: image is not drawn to scale. what is the volume of this right con…
\( 300\pi \text{ cm}^3 \) (the option with 300π cm³)
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enter the measure of the angle. degrees
52.5 (or 37.5 if it's angle JCE; but based on the diagram's input box near J, maybe angle GCJ is 52.5)
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no additional details were added for this assignment. what is the volum…
\( 120\pi\space\text{cm}^3 \) (corresponding to the option with \( 120\pi\space\text{cm}^3 \))
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a similarity transformation is a composition of one or more rigid motio…
- Triangles with $33^\circ, 70^\circ$ ↔ AA Similarity - Triangles with sides 12,15,6 and 8,10,4 ↔ SSS Similarity - Triangles with sides 16,20 and 20,25 (included $108^\circ$) ↔ SA…
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$\\triangle gfe \\cong \\triangle wuv$. what is $wu$? inches
59 inches
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what is the coordinate of the midpoint of \\(\\overline{de}\\)? write y…
\( 928.5 \)
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what is the area of this circle in square centimeters? 3 cm 3π 6π 9π 30π
\( 9\pi \) square centimeters (corresponding to the option with \( 9\pi \))
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can you conclude that \\(\\overline{hi}\\) and \\(\\overline{kn}\\) are…
yes
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can you conclude that \\(\\overline{bc}\\) and \\(\\overline{eg}\\) are…
no
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g is the midpoint of \\(\\overline{fh}\\). if \\(fg = 8x\\) and \\(gh =…
\( 10 \)
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what is the image of (7, 8) after a reflection over the line y = x? ans…
\((8, 7)\)
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given ( m parallel n ), find the value of ( x ).
\( x = 10 \)
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if $uv = 12x$, $vw = 14x - 19$, and $uw = 20x - 7$, what is $uv$? simpl…
24
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estimate the measure of this angle within 10°.
\(120^\circ\) (or a value within \(10^\circ\) of the actual, e.g., \(110^\circ - 130^\circ\) range, but \(120^\circ\) is typical)
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the hand of the clock below is pointing at the 7. suppose that the hand…
$150$
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what is the length of \\(overline{jk}\\)?
6
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what is the value of c? write your answer as an integer or as a decimal…
$10.5$
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explain why the triangles are similar. then find the distance represent…
\(x = 9\) (If the proportion was \(\frac{3.6}{x}=\frac{8}{28}\), then \(x = 12.6\), but based on the diagram's likely intended sides, \(x = 9\)). Wait, the correct answer based on…
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6. determine the relationship between the two triangles and whether or …
6. The two triangles are related by **ASA (Angle-Side-Angle)**, so the triangles **can be proven congruent**. 7. The two triangles are related by **SAS (Side-Angle-Side)**, so the…
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translate the figure 6 units left and 4 units up. plot all of the point…
To solve the problem of translating the figure 6 units left and 4 units up, we first need to identify the coordinates of the original vertices of the figure. Let's assume the orig…
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which pair of angles shares ray af as a common side? ○ ∠daf and ∠dab ○ …
D. \( \angle BAF \) and \( \angle FAD \)
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find the measure of the missing angles.
\( x = 45^\circ \), \( y = 45^\circ \)
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complete the following sentence. the figure below has rotational symmet…
36
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write an equation that says that the length of the green line is equal …
Equation: \( 9 = 19 - c \) \( c = 10 \)
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the diagram shows a triangle. what is the value of z? z = \\square°
$z = 48^\circ$
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solve for the value of c. answer attempt 1 out of 2 c =
\(c = 50\)
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what is the value of a? a = \\boxed{\\circ} submit work it out not feel…
$91^\circ$
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is the dotted line a line of symmetry? yes no
yes
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which is the definition of a ray? a part of a line that has one endpoin…
A. a part of a line that has one endpoint and extends indefinitely in one direction
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what are the values of p and v? p = \\square^\\circ v = \\square^\\circ…
$p = 72^\circ$ $v = 145^\circ$
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graph this inequality: $y > \\frac{1}{4}x + 5$ plot points on the bound…
# Explanation: ## Step1: Identify the boundary line type The inequality is \( y > \frac{1}{4}x + 5 \), so the boundary line \( y=\frac{1}{4}x + 5 \) should be dashed (since the in…
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for the triangles below, use the tools to move the solid triangle exact…
To solve this, we analyze the triangles: 1. Observe the shapes: The solid triangle \( \triangle JKL \) and dashed \( \triangle FGE \) have the same shape (congruent, as they are t…
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these figures are congruent. what is ( mangle f )?
$83$
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using the side - splitter theorem, which segment length would complete …
GJ
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what is the coordinate for the image of point h(2, -6) under a 90° cloc…
H'(-6, -2)
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\we choose to go to the moon\ speech by john f. kennedy which of the fo…
"Space can be explored...without feeding the fires of war, without repeating the mistake..."
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which rule describes the composition of transformations that maps $\\tr…
$R_{g,\ 90^\circ} \circ r_m$
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these figures are congruent. what is ( mangle i )?
$94^\circ$
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find the largest angle of $\\triangle abc$. assume that $x$ is a positi…
$\angle B$
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solve for x. round to the nearest tenth, if necessary. (image of right …
# Explicación: ## Paso 1: Identificar la relación trigonométrica En el triángulo rectángulo, para el ángulo de $61^\circ$, el lado $x$ es la tangente (opuesto sobre adyacente). $\…
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which postulate would prove these two triangles are congruent? neither …
Neither
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the graphs and equations represent the relationships between the number…
Yes
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these figures are congruent. what is ( mangle e )?
$150^\circ$
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t is the midpoint of \\(\\overline{ux}\\) and w is the midpoint of \\(\…
$64$
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fill in the blank and dropdown menus to form a true statement below. th…
5
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find the longest side of $\\triangle xyz$.
The longest side is $\overline{XZ}$
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figure wxyz is transformed using the rule $r_{y-axis} \\circ t_{-4, 2}(…
D. (3, 8)
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complete the statements about the relationship between the two labeled …
\(X = 8\)
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use the pythagorean theorem to find the distance between points p and q…
The equation is \(c^2 = (2)^2 + (2)^2\), so the missing number is \(2\). So the completed equation is \(c^2 = (2)^2 + (2)^2\).
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find the shortest side of $\\triangle bcd$.
The shortest side of $\triangle BCD$ is $\overline{DC}$ (or side $DC$)
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these figures are congruent. what is ( mangle x )?
$75$
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find the longest side of $\\triangle hij$.
The longest side is $\overline{IJ}$
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question in the diagram below of triangle fgh, i is the midpoint of \\(…
\(IJ = 23\)
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for each pair of figures below, choose how they are related. options fo…
1. Rotation 2. None of these 3. Reflection 4. Reflection
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geometry find and circle all of the geometry words that are hidden in t…
Secret message: **GEOMETRY IS THE KEY TO UNDERSTANDING THE WORLD** All identified geometry words from the list are crossed out from the grid as listed in the explanation.
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find the shortest side of $\\triangle qst$.
$ST$
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list the side lengths of $\\triangle fgh$ in order from shortest to lon…
$\overline{FG} < \overline{FH} < \overline{GH}$
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given $m\\parallel n$, find the value of x.
\( x = 12 \)
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for exercises 1–4, if the two triangles are similar, state why they are…
1. Not similar 2. Not similar 3. Not similar 4. Similar by SAS similarity (common angle, proportional sides) 5. $12$ 6. $21.6$ 7. $20$ 8. $2$ 9. Yes, all three are similar. They a…
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the volume of a cone is 36π cubic units. what is the volume of a cylind…
$108\pi$
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review what is the tangent ratio of $\\angle dwx$ $\\bigcirc\\frac{2}{2…
\(1\)
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figurative language to describe the blizzard. under the weight of snow,…
A. a forgetful person.
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what is the volume of this square pyramid? 48 cm³ 96 cm³ 144 cm³ 288 cm³
\( 48 \, \text{cm}^3 \) (corresponding to the option with \( 48 \, \text{cm}^3 \))
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what is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³
1260 $cm^3$ (corresponding to the option "1260 $cm^3$")
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hint the measure of the angle can be calculated as 6·11.5 - 25 degrees.…
44
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a transformation of δdef results in δdef. which transformation maps the…
The transformation is a dilation.
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proof reasons practice match the statement with the property. 1. if $\\…
## Matching Section: 1. C. CPCTC 2. D. Third Angles Theorem 3. A. Reflexive Property 4. B. Transitive Property ## Angle Measure Section: 5. $m\angle 2 = 126^\circ$, Reason: Linear…
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enter the measure of the angle. degrees
46