Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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a) write an inequality that represents the statement \x is greater than…
1. The inequality is $\boldsymbol{w \geq -1\frac{1}{2}}$ 2. The correct graph is the top-left one: a closed blue circle at $-1\frac{1}{2}$ (between -2 and -1) with the line shaded…
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are the triangles similar? why? not similar. there is only one congruen…
Similar. The triangles are similar by the AA Similarity Postulate.
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are the triangles similar? why? 52° 48° not similar. the triangles only…
Not similar. The triangles only have one pair of congruent angles.
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using algebra find the value of each variable. write answers in simples…
$f=\frac{8\sqrt{3}}{3}$, $h=\frac{16\sqrt{3}}{3}$
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calculate slope between the two points and enter answer in blue box bel…
\( -\frac{3}{4} \)
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calculate slope between the two points and enter answer in blue box bel…
\(\frac{1}{9}\)
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graph $x = 6$.
A vertical straight line passing through the point $(6, 0)$ (and all points where the x-coordinate is 6) that extends infinitely upwards and downwards on the coordinate plane.
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calculate slope between the two points and enter answer in blue box bel…
\( -\frac{9}{5} \) (o -1.8)
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36. (image of a geometric figure with segments labeled x, y, z, 2, 6 an…
# Explanation: ## Step1: Find \( z \) using geometric mean (altitude-on-hypotenuse theorem) The altitude to the hypotenuse of a right triangle is the geometric mean of the segment…
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calculate slope between the two points and enter answer in blue box bel…
\( -\frac{6}{7} \)
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solve each problem. show your work. 11. a 4-ft-tall girl casts a 3-ft s…
1. The tree is 20 ft tall. 2. The actual length of the room is 8 ft.
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calculate slope between the two points and enter answer in blue box bel…
\( -\frac{1}{9} \)
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graph $y = 0$.
The correct graph is the horizontal line coinciding with the x-axis (the axis where all points have a y-value of 0, extending infinitely in both positive and negative x-directions…
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calculate slope between the two points and enter answer in blue box bel…
9
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calculate slope between the two points and enter answer in blue box bel…
3
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calculate slope between the two points and enter answer in blue box bel…
16
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give the location of paris as an ordered pair (x, y).
\((x,y)=(-6,4)\)
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what is the slope of the line through (-7, -2) and (-6, 7)? choose 1 an…
C. 9
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a. write an inequality that represents the statement \x is less than or…
1. The inequality is $x < -8$ 2. The correct graph is the bottom-left one (open circle at -8, arrow pointing left to smaller numbers)
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on of berlin as an ordered pair (x, y). (x,y)= ( , )
\((x,y)=(6,7)\)
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solve for ( x ) and graph the solution on the number line below. if pos…
## Inequality Notation: $x > -8$ or $x \leq 4$ ## Number Line: - Draw an open circle at $-8$ and shade all values to the right. - Draw a closed circle at $4$ and shade all values …
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12) through: (3, 5), slope = \\(\\frac{5}{3}\\)
$y = \frac{5}{3}x$
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solve for ( x ) and graph the solution on the number line below. if pos…
Inequality Notation: $x > -2$ For the number line: Draw an open circle at $-2$, then shade all regions to the right of $-2$.
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11) through: (-2, 5), slope = -4
$y = -4x - 3$
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find the value of each variable in the parallelogram. round your answer…
\(a = 2\), \(b = 3\)
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41 write and graph an inequality to represent the statement, \y is grea…
1. The inequality is $y > -15$ 2. The correct graph is the top-right one: an open circle at -15 with the line shaded to the right towards -14, -13, etc.
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line gh contains points g(-2, 6) and h(5, -3). what is the slope of (ov…
$\boldsymbol{-\frac{9}{7}}$ (corresponding to the third option)
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the location of paris as an ordered pair (x, y).
$(x, y) = (-4, 4)$
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a work with words complete each sentence with the correct term from the…
**: conscience 2. **Explanation**: Conscience follows "moral law" (directs good/avoid evil).
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point d shows the location of a drummer in a marching band formation. t…
The new position of point D after translating 2 units down is 2 units vertically below the original point D on the grid. (Visually, if we consider the grid, we move D two squares …
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making an inference from the life of descartes which activity would des…
○ discussing the use of geometry to build a house
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identifying the original purpose of a concept what was the purpose of t…
○ to use algebraic methods to solve geometric problems
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identifying a mathematician’s influences on mathematics which mathemati…
- problem solving by solving simpler parts first - Cartesian plane for graphing
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calculate the area and perimeter. 12 in. 8 in. perimeter: area:
Perimeter: $40$ in. Area: $96$ in.$^2$
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13.) with the information below, answer the following: scale: \\(\\frac…
Bedroom measurements: 12 ft (length) × 10 ft (width) Area: 120 square feet --- ### For Question 14:
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y = x + 8\ 2x + y = -7\ plot two lines by clicking the graph.\ click a …
1. For $y=x+8$: Plot and connect points $(0,8)$ and $(-8,0)$. 2. For $2x+y=-7$ (or $y=-2x-7$): Plot and connect points $(0,-7)$ and $(-3.5,0)$. 3. The lines intersect at $(-5,3)$.
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5) write an algebraic expression to represent the perimeter of the rect…
$8x + 6$
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using algebra find the value of each variable. write answers in simples…
\(p = 6\sqrt{3}\), \(m = 12\)
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read the description of a proportional relationship. roxanne is measuri…
10
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graph the line that passes through the points (9, -2) and (9, -7) and d…
The equation of the line is $x=9$, and the graph is a vertical line passing through $x=9$ that goes through the points $(9, -2)$ and $(9, -7)$ (as shown on the provided grid).
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y = x + 3\ 3x + y = -5\ plot two lines by clicking the graph.\ click a …
1. For $y=x+3$: Plot and connect points $(0, 3)$ and $(1, 4)$ (extend the line across the grid). 2. For $3x+y=-5$: Plot and connect points $(0, -5)$ and $(-1, -2)$ (extend the lin…
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question solve for the value of t. (9t+3)° (4t-5)°
$t = 14$
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heron deconstructs a box to put in the recycling bin. when the is flatt…
B. 158 square inches
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question solve for the value of t. 60° (6t)°
$t = 10$
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- he studied ____ -like shapes, called ____, and ____ -like shapes, cal…
### First Section (Archimedes): - Archimedes worked on solid geometry - He studied ball-like shapes, called spheres and tube-like shapes, called cylinders - He also figured out th…
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graph the line that passes through the points (9, -1) and (6, 1) and de…
Equation of the line: $\boldsymbol{y=-\frac{2}{3}x+5}$ (Graph: The line passes through points $(6,1)$ and $(9,-1)$, with a y-intercept at $(0,5)$ and extends infinitely in both di…
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6. three times the difference of federico’s age and 4, increased by 7, …
Federico's age \( x \) satisfies \( x>14 \). On the number line, we draw an open circle at 14 (since \( x \) is not equal to 14) and shade the region to the right of 14. The possi…
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note: figure not drawn to scale. the circle shown has center o, circumf…
B) 48π
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graph the line that passes through the points (3, -8) and (3, 3) and de…
The equation of the line is $\boldsymbol{x=3}$. To graph it: Plot the points $(3, -8)$ and $(3, 3)$ on the coordinate grid, then draw a straight vertical line passing through both…
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graph the line that passes through the points (-5, 6) and (8, 6) and de…
Equation: $y = 6$ *(To graph the line: plot the points $(-5, 6)$ and $(8, 6)$, then draw a straight horizontal line through them that spans the entire coordinate grid at $y=6$.)*
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8) 11x - 8y = -48
$y = \frac{11}{8}x + 6$ (Alternativamente, si se busca la forma estándar original o valores enteros, la ecuación dada tiene infinitas soluciones; la forma despejada de $y$ es la r…
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for what values of x is the figure a rectangle? ... (4x + 7)° 6x° x = \…
$11$
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for what value of x is the figure a rectangle? (5x + 2)° 3x° x = \\squa…
$17.6$ or $\frac{88}{5}$
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for what value of x is the given parallelogram a rhombus? the given par…
$25$
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give the condition required for the figure to be a rhombus. the figure …
14
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for what value of x is the figure a rectangle? 11x + 5 6x + 15 x = \\sq…
$2$
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find the measure of the numbered angles in each rhombus. m∠1 = 22° m∠2 …
$22$
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find the measure of the numbered angles in each rhombus. m∠1 = 22° m∠2 …
$22$
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find the measure of the numbered angles in each rhombus. m∠1=□° ...
$22$
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4) x - 3y = 6
Expresada en forma explícita para $x$: $x = 3y + 6$ Expresada en forma explícita para $y$: $y = \frac{1}{3}x - 2$
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find the measures of the numbered angles in the rhombus. m∠1 = 64° m∠2 …
$\boldsymbol{26}$
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find the measures of the numbered angles in the rhombus.
$26$
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using algebra find the value of each variable. write answers in simples…
$c=5$, $d=5\sqrt{3}$
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try again. match the rest of the equations to the hanger diagrams. 4x\ …
Second hanger: $\boldsymbol{x = 3 + x}$ Third hanger: $\boldsymbol{5 + x = x}$ Fourth hanger: $\boldsymbol{4 = x}$
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using algebra find the value of each variable. write answers in simples…
$c = 5$, $d = 5\sqrt{3}$
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find the measures of the numbered angles in the rhombus. m∠1=□°
$64$
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find the perimeter of $\\triangle rvs$ for square qrst. the perimeter o…
12.1
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find the measure of ∠bec for rectangle abcd. the measure of ∠bec is \\b…
112
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the length of the hypotenuse, line segment ac, in right triangle abc is…
\(53.1^{\circ}\) (the option with \(53.1^{\circ}\))
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this is a parallelogram. which shows the parallelogram cut and rearrang…
30
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in the rectangle below, $bd = 4x + 2$, $ac = 5x - 6$, and $mangle ecb =…
$AE=17$ $m\angle AED=118^\circ$
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what is the approximate value of ( y - x )? ( 4.9^circ ) ( 6.2^circ ) (…
\( 17.2^\circ \)
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partially correct your answer is incorrect. - answer 1: your answer is …
$m\angle R = 71^\circ$, $m\angle RQS = 54^\circ$, $x = 2$
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the measure of angle bac can be calculated using the equation \\(\\sin^…
44° (corresponding to the option: 44°)
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find the slope of the line passing through the points (-1, 8) and (-7, …
$\frac{1}{2}$
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given right triangle xyz, with altitude wz, find each length. a. if xw …
\( 6 \) ### Part b
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find the length of side x in simplest radical form with a rational deno…
\(\frac{\sqrt{2}}{2}\)
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find the length of side ( x ) in simplest radical form with a rational …
\(\frac{\sqrt{2}}{2}\)
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4. the local firefighters collect toys to distribute at various give - …
Problem 4: Cannot be solved (missing number of total toys and total events) Problem 5: $A = \frac{9}{2}x$ Problem 6: $A = \frac{y(x+8)}{2}$ Problem 7: $A = 3x$
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find ( mangle nql ) in parallelogram ( lmnq ). ( mangle nql = ) (\boxed…
$m\angle NQL = 80^\circ$
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using algebra find the value of each variable. write answers in simples…
$2\sqrt{2}$
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directions: draw the given angle in standard position on the graph - ma…
- Positive coterminal angle: \(520^\circ\) - Negative coterminal angle: \(-200^\circ\) - Reference angle: \(20^\circ\) ### Problem 2: \(280^\circ\)
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what is the equation of the line? options: y = 1; x = 1; y = 0; y = 2
A. $y = 1$
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what is the equation of the red graph pictured? options: $y = 4$, $y = …
B. $y = -4$
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does the following equation represent a vertical line, a horizontal lin…
vertical
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question 1 multiple choice (worth 1 points) (8.5.04 mc) marissa is pain…
A. $(x + 25)(x + 20) - 30$ --- For the second question, the text is incomplete (missing key details about the area value and full options). Please provide the complete question de…
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problem solving the sides of \\(\\parallelogram mnpq\\) are represented…
52 units
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determine the unknown angle measures of △def. round to the nearest degr…
\( m\angle D = \boxed{46}^\circ \) \( m\angle F = \boxed{44}^\circ \)
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triangle def is rotated (270^circ) counterclockwise about the origin. t…
(a) $D'(-4, 5)$, $E'(2, 2)$, $F'(-6, 3)$ (b) $\boldsymbol{(x, y) \to (y, -x)}$
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what is the measure of ∠r in △pqr? round to the nearest degree. 26° 42°…
64°
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18. write and solve an equation to find the value of x. then, find the …
\(x = 12\), \(\angle V = 28^\circ\), \(\angle C = 116^\circ\), \(\angle R = 36^\circ\)
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give a pair of alternate interior angles, a pair of alternate exterior …
(a) $\angle 2$ and $\angle 7$ (b) $\angle 1$ and $\angle 8$ (c) $\angle 1$ and $\angle 3$
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modeling real life nasas insight is a robotic lander designed to study …
Interior angle: $144^\circ$ Exterior angle: $36^\circ$
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in the diagram below, $overleftrightarrow{dr}$ is perpendicular to $ove…
\(84.00\)
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you walk along the outside of a park star to answer parts a and b. clic…
2.0 mi ### Part b:
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which angle measure is greater? choose 1 answer: a image of angle at a …
B. The angle at \( B \) (the angle with vertex \( B \)) has a greater measure.
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answer the questions below. (a) the perimeter of a rectangular garden i…
81 ### Part (b)
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if the directrix of a parabola is the horizontal line ( y = 3 ), what i…
The focus is at \((0, - 3)\), and the equation for the parabola is \(x^{2}=-12y\) (the second option).
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read the excerpt from \clara bartons childhood.\ there was, directly in…
It was revered when it froze over.
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in circle c, what is the value of x? 112° 90° 68° 22°
\( 22^\circ \) (corresponding to the option with \( 22^\circ \))