Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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find tu. u t √47 32° s write your answer as an integer or as a decimal …
$\boldsymbol{4.3}$
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find cd. write your answer as an integer or as a decimal rounded to the…
$8.8$
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find hj. j i √65 29° h write your answer as an integer or as a decimal …
$7.1$ (rounded to nearest tenth)
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find uw. u 7.6 v 62° w write your answer as an integer or as a decimal …
$\boldsymbol{4.0}$
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find de. write your answer as an integer or as a decimal rounded to the…
$9.3$
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find cd. triangle image with right angle at d, hypotenuse cb = 9.1, ang…
$5.0$ (rounded to the nearest tenth)
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find bd. write your answer as an integer or as a decimal rounded to the…
$\boldsymbol{2.0}$
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find pq. (image of a right triangle prq with right angle at r, rq = √42…
$7.6$
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find wx. (image of a right triangle with right angle at x, angle at y i…
$4.0$
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find pq. write your answer as an integer or as a decimal rounded to the…
$8.0$
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58. which pair of triangles are not similar? a. b. c. d. 59. which cond…
C. The triangles with sides 39.6, 34, 27 and 22, 15, 20 (since their side ratios are not equal, so SSS similarity fails). ### Question 59: Which condition would prove $\triangle S…
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select the correct answer. given: \\overleftrightarrow{ab} \\perp \\ove…
D. Step 6
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line m has a y-intercept of c and a slope of \\(\\frac{p}{q}\\), where …
B. $-\frac{q}{p}$
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example 2 (page 118) solve each inequality. graph the solution. 4. $4h …
The solution to the inequality \(-10d \geq -70\) is \(d \leq 7\). To graph this, we draw a number line, put a closed circle at 7 (because the inequality is "less than or equal to"…
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type the correct answer in each box. use numerals instead of words. if …
$y=\frac{6}{5}x+\frac{8}{5}$
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what is the volume of this sphere? round your answer to the nearest hun…
$28731.55$ cubic inches
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2. find x and y in the following diagrams. a) 9.4 cm, 8.6 cm, x, 48°, y…
$x \approx 12.7$ cm, $y \approx 19.0$ cm (rounded to one decimal place)
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graph the line $x = 7$ on the axes shown below. type of line: choose on…
Type of line: Vertical
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write the equation of the line graphed below in simplest form.
\( x = - 5 \)
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question graph the line $x = -5$ on the axes shown below. type of line:…
Type of line: Vertical
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write the equation of the line graphed below in simplest form.
\(y=-2x + 10\) (or \(2x + y = 10\))
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write the equation of the line in fully simplified slope-intercept form…
\(y =-\frac{1}{2}x - 8\)
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20. (6, -2), (4, 6)
The slope between the points \((6,-2)\) and \((4,6)\) is \(-4\)
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(5,8),(-1,10)
The slope between the points \((5, 8)\) and \((-1, 10)\) is \(-\frac{1}{3}\)
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7. (8, -3), (-7, 0)
The slope between the two points is \(-\frac{1}{5}\)
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5. (0, -9), (-1, -9) 17. (8, -3), (-7, 0)
The slope is \(0\) ### Problem 17: Find the slope between points \((8, -3)\) and \((-7, 0)\)
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15 (0, -9), (-1, -9)
The slope between the points \((0, -9)\) and \((-1, -9)\) is \(0\).
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6. (-6, 2), (0, 1)
The slope of the line passing through the points \((-6, 2)\) and \((0, 1)\) is \(-\frac{1}{6}\)
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14. (7, -6), (6, 0)
The slope between the points \((7, -6)\) and \((6, 0)\) is \(-6\).
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g) in a right - triangle, one of the acute angles is 66°, the adjacent …
\(x\approx8.61\) m
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graph the line $y = -6$ on the axes shown below. type of line: choose o…
Type of line: Horizontal To graph the line: Plot the point \( (0, - 6) \) on the coordinate plane. Then, draw a straight horizontal line passing through this point, extending infi…
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seven battleships that each cover 4 coordinates are located somewhere o…
To sink a battleship, start by testing coordinate points (e.g., \((1, 2)\)). If it's a hit, test adjacent points (along the same horizontal or vertical line) until 4 consecutive h…
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d) 1.5 cm 19.5 cm x
\(x\approx4.41^{\circ}\) (or if we want to keep it more precise, we can use the exact fraction \(\arcsin(\frac{1}{13})\))
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unit exam - equations, proportions, & percents bruce is drawing a map t…
$40$
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the legend on a map states that 1 cm is 20 km. if you measure 12 cm on …
$240$ km
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7. (-4, -1) (4, -2) \\(\\sqrt{(-4 - 4)^2 + (-1 - (-2))^2}\\) = \\(\\sqr…
The correct distance between the points \((-4,-1)\) and \((4,-2)\) is \(\sqrt{65}\) (Note: The first step in the original calculation had a sign error in the \(x\)-difference, but…
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8. (-5, a) and (1, -4) are two points on a line plotted on a coordinate…
If we are finding the distance between the two points \((-5,a)\) and \((1,-4)\) with \(a = 2\), the distance is \(6\sqrt{2}\). If we are finding \(a\), \(a = 2\).
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solve the system of equations by graphing. \\begin{cases} 5x + y = 6 \\…
The solution to the system of equations is \(\boldsymbol{(0.2,5)}\) (or \(\boldsymbol{(\frac{1}{5},5)}\)).
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13) 14) 15) 16) △abc is an equilateral triangle ae = 20 ∠dce = ____ cd …
14) $\angle DCE = 60^\circ$ 15) $CD = 6$ 16) $DE = 6\sqrt{3}$ (Nota: Para $BD$, puede haber un error en la interpretación de la figura, pero con la información dada, los cálculos …
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desafío: halla el área de cada triángulo. redondea los valores intermed…
El área del triángulo 15 es aproximadamente \( \boldsymbol{248.1} \) (redondeado al décimo). ### Problema 16:
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5.3 - trigonometría (angulos desconocidos) encuentra el lado que falta …
### Problema 1: Triángulo rectángulo con catetos 5 ft y x, hipotenusa 8 ft # Explanation: ## Step1: Aplicar el Teorema de Pitágoras ($a^2 + b^2 = c^2$) Donde $a = 5$, $b = x$, $c …
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10. soo-jin is installing carpet in a den. using the floorplan below, c…
# Explanation: ## Step1: Analyze the Shape The floorplan is a pentagon. We can split it into a rectangle and a triangle (or use the formula for the area of a polygon with given si…
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Question was provided via image upload.
$\triangle \boldsymbol{AB C} \cong \triangle \boldsymbol{FGE}$
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question 3 of 5 select the correct answer from each drop - down menu. w…
The steps to construct the perpendicular bisector of \( AB \) are: 1. Place the compass on \( A \), set width \( > \frac{1}{2}AB \). 2. Draw arcs above and below \( AB \) from \( …
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in the diagram below, \\(\\overline{ad} \\cong \\overline{ae}\\), \\(\\…
\(115\)
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this image has rotational symmetry. what is the smallest number of degr…
\( 72 \)
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are $\\triangle vwx$ and $\\triangle fgh$ congruent? yes no
no
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write the coordinates of the vertices after a reflection over the line …
\( E'(0, - 1) \), \( F'(0, - 9) \), \( G'(-10,0) \)
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find the volume of the rectangular prism. write your answer in simplest…
\(\frac{9}{112}\)
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graph this line using the slope and y-intercept: $y = \\frac{1}{4}x$ cl…
To graph \( y=\frac{1}{4}x \): 1. Plot the y - intercept at \( (0,0) \). 2. Use the slope \( \frac{1}{4} \) to find other points (e.g., from \( (0,0) \), move 4 right and 1 up to …
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determine whether triangles abc and dbe are similar by following these …
3
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graph this line using the slope and y-intercept: y = (7/4)x - 10 click …
To graph the line \(y=\frac{7}{4}x - 10\): 1. Plot the y - intercept at \((0,-10)\). 2. Use the slope \(\frac{7}{4}\) to find another point: from \((0,-10)\), move up 7 units and …
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what is the length of \\(\\overline{ab}\\)?
10 units
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9.8 in. a 9.1 in. what is the length of the missing leg? if necessary, …
\( 3.6 \)
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below are two parallel lines with a third line intersecting them. x = \…
\(75\)
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state what additional information is required in order to know that the…
We need \( EI = DE \) (or the included side between the two known equal angles to be equal) ### Problem 7: AAS
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below are two parallel lines with a third line intersecting them. x = \…
\(74\)
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below are two parallel lines with a third line intersecting them. x = \…
\(73\)
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note: triangle is not to scale. in ight\ triangle abc above, what is th…
$\frac{7}{9}$ (corresponding to the option with $\frac{7}{9}$)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by a reflection (or other congruence - preserving transformation), so the triangles can be proven to be congruent (by SAS congruence criterion). The …
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find an equation for the line with the given properties. express your a…
The equation of the line is \( y=-3x \) (or \( 3x + y = 0 \))
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find the distance between the points (2, 1) and (9, 7). round decimals …
\(9.2\)
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which of the following are in correct order from greatest to least? ○ $…
330°, $\frac{5\pi}{3}$, $\frac{7\pi}{6}$, $\frac{2\pi}{3}$, $\frac{\pi}{2}$
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a net for a three - dimensional figure is shown on grid paper. each squ…
104
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drag the yellow dot until \\( \\overleftrightarrow{ac} \\) and \\( \\ov…
(Note: The actual answer depends on the measurement. For a typical case where \( \overleftrightarrow{AC} \parallel \overleftrightarrow{DF} \) and the angles are corresponding, if …
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drag the yellow dot until \\overleftrightarrow{ac} and \\overleftrighta…
After aligning \( \overleftrightarrow{AC} \parallel \overleftrightarrow{DF} \), \( \angle ABE \) and \( \angle FEB \) will be equal (alternate interior angles) or supplementary (c…
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write the coordinates of the vertices after a rotation 270° countercloc…
\( F'(3, -5) \), \( G'(4, -5) \), \( H'(2, -3) \)
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what is the image of the point $(-7, 5)$ after a rotation of $180^circ$…
\((7, -5)\)
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the diagram shows a triangle. what is the value of t? t = \\square^\\ci…
\(t = 19\)
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similarity - item 35517 complete the statement below about the two figu…
They are \(\boldsymbol{\text{not similar}}\) because their corresponding angles are \(\boldsymbol{\text{not congruent (or not equal)}}\).
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a circle with center h is shown in the figure below. (a) name a diamete…
(a) \( \overline{IJ} \) (b) \( \overline{HJ} \) (or \( \overline{HI} \), \( \overline{HK} \)) (c) \( \overline{LM} \) (or \( \overline{IJ} \)) (d) 3
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write the equation of this line in slope-intercept form.
\(y=-2x - 4\)
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find the length of side x to the nearest tenth. answer attempt 1 out of…
4.9
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write a similarity statement. △ ~ △
\( \triangle SRT \sim \triangle SQP \) (or \( \triangle STR \sim \triangle SPQ \), but more accurately, based on the side ratios \( \frac{SR}{SQ}=\frac{6}{60}=\frac{1}{10} \) and …
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write the equation of the line in slope-intercept form, $y = mx + b$.
\( y=\frac{3}{2}x + 3 \)
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the triangle below is equilateral. find the length of side x in simples…
$\frac{8\sqrt{3}}{3}$
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find: \\(cos b\\) the figure is not drawn to scale. answer \\(\frac{10}…
\(\frac{10}{26}\) (the third option, i.e., the option with \(\frac{10}{26}\))
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find m∠s. write your answer as an integer or as a decimal rounded to th…
\( 45.8 \)
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find the area of this sector if r = 2 and \\(\\theta = \\frac{17\\pi}{3…
\(\frac{17}{18}\)
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the trapezoid fghi is a dilation of the trapezoid fghi. what is the sca…
3
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write the equation of the line in slope - intercept form, $y = mx + b$.
\( y = \frac{2}{3}x - 3 \)
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write the equation of the line in slope-intercept form, $y = mx + b$.
\( y = 3x - 2 \)
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find m∠v. t 9 u 9√3 v m∠v = ° submit
\( 30 \)
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classify this triangle by its sides. equilateral scalene isosceles but …
isosceles but not equilateral
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find the slope of each line defined below and compare their values. equ…
The slope of Line A is \(-5\) and the slope of Line B is \(-\frac{3}{2}\). Therefore the slope of Line A is less than the slope of Line B.
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graph this inequality: $y < \\frac{-5}{4}x + 4$ plot points on the boun…
1. Dibujar la recta punteada \( y = -\frac{5}{4}x + 4 \) pasando por los puntos \( (0, 4) \), \( (4, -1) \), \( (-4, 9) \) (o otros puntos de la recta). 2. Sombrear la región deba…
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move at least one of the 5 guide points below to complete the graph of …
Move the blue vertex point to \( (7, -8) \) and adjust the red points to their respective positions relative to the new vertex (e.g., red points at \( (6, -7) \), \( (8, -7) \), \…
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for the triangles below, use the tools to move the solid triangle exact…
s: (a) \( \frac{CE}{WX} = \frac{1}{4} \), \( \frac{ED}{XY} = \frac{1}{4} \), \( \frac{CD}{WY} = \frac{1}{4} \) (b) \( \angle W \cong \angle C \), \( \angle X \cong \angle E \), \(…
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there are some special relationships between angles when the lines cut …
The angles on the same side of the transversal are supplementary. The angles on opposite sides of the transversal are congruent.
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triangle stu is formed by connecting the midpoints of the side of trian…
\( 44^\circ \)
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for each pair of angle measures, decide if the angles are complementary…
- \(80^\circ\) and \(100^\circ\): Supplementary - \(25^\circ\) and \(155^\circ\): Supplementary - \(50^\circ\) and \(50^\circ\): Neither
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line jl and line km intersect at point h. find the three unknown angle …
129
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use technology to find points and graph the line $y - 2x = 4$, followin…
Two points on the line \( y - 2x=4 \) (or \( y = 2x + 4 \)) are \( (0,4) \) and \( (1,6) \) (or other valid points like \( (-2,0) \)). To graph the line, plot these points and dra…
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how long is the arc intersected by a central angle of \\(\\frac{\\pi}{3…
6.3 ft (corresponding to the option "6.3 ft")
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write the equation of this circle in standard form.
\(x^2 + (y + 6)^2 = 9\)
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the triangle below is equilateral. find the length of side x to the nea…
10.0
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each circle counts as one whole. write a mixed number giving the amount…
(a) Mixed number: $2\frac{3}{4}$ (b) Improper fraction: $\frac{11}{4}$
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write the coordinates of the vertices after a reflection over the y-axi…
\( B'(8, -6) \), \( C'(8, 0) \), \( D'(0, -1) \), \( E'(0, -10) \) Wait, but maybe I made a mistake in D's original y-coordinate. Wait, looking at the graph, D is at (0, -1)? No, …
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which rule explains why these scalene triangles are similar? image of t…
AA
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similarity - item 35516 complete the statement below about the two figu…
The two figures are similar because $\frac{6}{3}$ equals $\frac{8}{4}$.