Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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if ( mangle ebd = 4x - 8 ) and ( mangle ebc = 5x + 20 ), find the value…
# Explanation: Assuming that \(\angle EBD\) and \(\angle EBC\) are supplementary (since they form a linear pair, a common case in angle problems), their measures add up to \(180^\…
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find the length of each segment. number line with points w, x, y; -5, 0…
1 ### Problem 6: Length of \(\overline{WY}\)
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a conical pile of sand has a base radius of 267 cm and a vertical heigh…
The volume of the sand pile is closest to \( 10000000\space\text{cm}^3 \) (or more precisely approximately \( 9993815\space\text{cm}^3 \))
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unit 1, lesson 1, worksheet 3 section 1. circle the correct answer in p…
This museum (is open) from 9:00 a.m. (to) 6:00 p.m. ### 2)
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rewrite the definition as a biconditional statement. two angles are ver…
Two angles are vertical angles if and only if their sides form two pairs of opposite rays.
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if ( mangle ebd = 4x + 16 ) and ( mangle dbc = 6x + 4 ), find ( mangle …
\(44^{\circ}\) (If supplementary, the answer would be \(80^{\circ}\), but based on the common problem structure, \(44^{\circ}\) is more likely. If there was a diagram indicating a…
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what is the slope of the line?
The slope of the line is \(1\).
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rewrite the definition as a biconditional statement. the midpoint of a …
A point is the midpoint of a segment if and only if the point divides the segment into two congruent segments.
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do you know how? find the length of each segment. number line with -5, …
2 ### Problem 6: Length of \(\overline{WY}\)
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name: tavon reeves date: class: 6 topic: main ideas/questions: measurin…
- MEASURING SEGMENTS: The distance between two points \( A \) and \( B \) is written as \( AB \) (or \( m\overline{AB} \)) or the length of \( \overline{AB} \). For the example, \…
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question 10 of 10 a vertical shrink is an example of a non-rigid transf…
A. True
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solve for x. round to the nearest tenth of a degree, if necessary. tria…
\( 64.3^\circ \)
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directions: solve, graph, and wr -7a - 11 < 1 - 4a
The solution to the inequality \(-7a - 11 < 1 - 4a\) is \(a > -4\). To graph this, we draw a number line, place an open circle at \(-4\) (since \(a\) is not equal to \(-4\)), and …
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8. - / 1 points write the standard form of the equation of the circle w…
\((x + 2)^2+(y + 6)^2 = 25\)
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find the volume of a cone with a base diameter of 8 yd and a height of …
\( 150.72 \) cubic yards
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find the distance between x and y with x(2, -9) and y(-10, -1)
The distance between \( X \) and \( Y \) is \( 4\sqrt{13} \) (or approximately \( 14.42 \)). If we need an exact form, it's \( 4\sqrt{13} \), and if decimal, approximately \( 14.4…
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2. which equation below equals 71? a. 52 + 17 = b. 45 + 24 = c. 92 - 21…
C. \(92 - 21 =\) ### Question 3
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solve for x. round to the nearest tenth, if necessary. triangle with ve…
\(6.7\)
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assume that the following graph has the given type of symmetry. x-axis …
The third graph (the one with the curve opening to the right, with one part above the x - axis and one part below the x - axis, symmetric about the x - axis)
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solve for x. round to the nearest tenth, if necessary. triangle diagram…
\( x \approx 175.8 \)
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solve the equation. check your solution. 1. $\frac{4}{3} = \frac{2}{15}…
\( j = 10 \) ### 2. Solve $\boldsymbol{-23.6 = 5.9t}$
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solve for ( x ). round to the nearest tenth, if necessary. triangle wit…
\( 2.8 \)
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find the length of ab with a(2, 3) and b(-4, -9)
The length of \(AB\) is \(6\sqrt{5}\) (or approximately \(13.42\)). If we want the exact value, it is \(6\sqrt{5}\), and if we want a decimal approximation, it is approximately \(…
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solve for ( x ). round to the nearest tenth, if necessary. triangle wit…
\(22.4\)
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find the length of \\(\\overline{ad}\\) with \\(a(2, 8)\\) and \\(d(7, …
13
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3. | x | y | | 3 | 2 | | 6 | 4 | | 9 | 6 | | 12 | 8 | graph with coordi…
Yes, the relationship is proportional. The constant of proportionality is \( \frac{2}{3} \) (or \( y = \frac{2}{3}x \)).
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find the length of side x in simplest radical form with a rational deno…
\( 6\sqrt{2} \)
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8. the volume of a cylinder is given by ( v = pi r^2 h ). if the radius…
C) The volume is doubled.
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find the length of side x in simplest radical form with a rational deno…
\(\sqrt{22}\)
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the radius of a cylindrical water tank is 4.5 ft, and its height is 6 f…
\( 382 \) cubic feet
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find the length of side x in simplest radical form with a rational deno…
\(\frac{5\sqrt{2}}{2}\)
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the two triangles below are similar. also, m ∠ z = 20° and m ∠ y = 110°…
\(m\angle G = 110^\circ\), \(m\angle H = 50^\circ\), \(m\angle I = 20^\circ\)
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find the length of side x in simplest radical form with a rational deno…
\(8\sqrt{3}\)
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name: _________________________ 1.4 perimeter and area review worksheet…
\( 35.2 \) (or \( 35.3 \) if more precise, but based on the calculation with \( \sqrt{160}\approx12.6 \), the answer is \( 35.2 \))
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question the figure below is a square. find the length of side x in sim…
\( x = 2 \)
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plot the points (0, 5), (4, 0), (-5, 3), (3, -2).
The points \((0,5)\), \((4,0)\), \((-5,3)\), \((3,-2)\) are plotted on the coordinate grid as described in the steps (with \((0,5)\) on the y - axis at \(y = 5\), \((4,0)\) on the…
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give the coordinates of the point obtained from each reflection. (a) re…
(a) \((-9, 6)\) (b) \((9, -6)\)
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12. if s is the midpoint of (overline{rt}), (rs = 5x + 3) and (st = 12x…
\( x = \frac{32}{7} \) (o aproximadamente 4.57)
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question the triangle below is equilateral. find the length of side x i…
\( \frac{10\sqrt{3}}{3} \)
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find the perimeter. include the unit. 8 in 10 in 11 in
29 inches
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find the length of the third side. if necessary, write in simplest radi…
\(4\)
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m is the midpoint of each segment. find each specified 1. diagram: segm…
\( PM = 11 \), \( MQ = 11 \)
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find the perimeter. include the unit.
\(46\) inches
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if a line segment from (2,2) to (4,4) is dilated by a scale factor of 3…
b. \((6,6)\) to \((12,12)\)
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the formula for the surface area of a cylinder is $2\\pi r(r + h)$ wher…
B. \( 2\pi \cdot 10 \cdot 210 \)
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find the length of the third side. if necessary, write in simplest radi…
\(2\sqrt{5}\)
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solve the inequality and graph the solution on the line provided. -16 +…
Inequality Notation: \(x < - 7\) For the number line: We draw an open circle at \(-7\) (because the inequality is strict, \(x eq - 7\)) and draw an arrow to the left of \(-7\) to…
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the inverse ~p→~q the contrapositive ~q→~p the conditional statement p→…
To solve this, we analyze each logical form: ### 1. The inverse ($\boldsymbol{\sim p \to \sim q}$) - Let $p$ = "you are in math class", $q$ = "you are in Geometry". - $\sim p$ = "…
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a line segment with endpoints p(1,2) and q(3,4) is dilated with a scale…
d. The angles are congruent, and the sides are proportional ### Third Question:
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question find the length of the third side. if necessary, write in simp…
4
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question 9 (multiple choice worth 1 points) (03.09 hc) which of the fol…
B. \(\angle AEI \cong \angle DEH\) because vertical angles are congruent, rotate \(\triangle HED\) \(180^\circ\) around point \(E\), then translate point \(D\) to point \(A\) to c…
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how are the coordinates of a dilated point calculated? a. divide each c…
d. Multiply each coordinate by the scale factor ### Second Question: Dilate point \( A(3, -4) \) by a scale factor of \( k = 3 \) with the center of dilation at the origin. What a…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x > 4 \) For the number line: Place an open circle at 4 (since the inequality is \( > \), not \( \geq \)) and draw an arrow to the right to represent all n…
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rewrite the conditional statement in if-then form. two right angles are…
If two angles are right angles, then they are supplementary angles.
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6. a cantaloupe can be roughly modeled as a sphere. using this approach…
Aldi's cantaloupe has a bigger radius. ### Problem 7
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question 8 (multiple choice worth 1 points) (01.03r mc) if a translatio…
$\triangle GHI \sim \triangle GJK$ (the second option, assuming the options are labeled as, e.g., B. $\triangle GHI \sim \triangle GJK$)
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find the length of the third side. if necessary, write in simplest radi…
8
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solve for x and graph the solution on the number line below. -3x < 27 a…
Inequality Notation: \(x > -9\) (For the number line: Place an open circle at \(-9\) and draw an arrow to the right, indicating all numbers greater than \(-9\).)
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find the measures of the numbered angles in the figure, shown to the ri…
| Measure | Justification | | --- | --- | | \( m\angle1 = \boldsymbol{50}^\circ \) | Alternate Interior Angles Theorem (or Linear Pair Postulate for \( \angle3 \), then Alternate …
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what is the result of dilating a figure with a scale factor of 1? a. th…
c. The figure remains the same size ### Second Question:
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find the length of the third side. if necessary, write in simplest radi…
8
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question 7 (multiple choice worth 1 points) (03.09 mc) jamal drew δlmn,…
The correct option is: $m\angle R \cong m\angle N$; this can be confirmed by translating point $R$ to point $N$ (the third option, depending on labeling—assuming the option with $…
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rewrite the conditional statement in if-then form. when a glacier melts…
If a glacier melts, then the sea level rises.
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look at this shape: grid with green l - shaped figure which image shows…
B
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question 6 (multiple choice worth 1 points) (03.09 lc) if a figure has …
A. A translation because it can map one angle onto another since dilations preserve angle measures of triangles.
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find the length of the third side. if necessary, write in simplest radi…
3
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question 5 (multiple choice worth 1 points) (03.03r mc) if ( mangle abc…
Yes, the AA similarity postulate can be used because a reflection over line \( l \) will establish that \( \angle ABC \cong \angle DEC \)
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question 4 (multiple choice worth 1 points) (03.05pr mc) in δefg and δy…
\( 38^\circ \)
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13. what is the side length of a square that has an area of 64 square c…
The side length of the square is 8 centimeters.
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the shape is cut into 6 equal parts. shade \\(\\frac{1}{3}\\) of the sh…
Shade 2 of the 6 equal parts (e.g., the first two, or any two adjacent/non - adjacent parts) of the given rectangular shape divided into 6 equal vertical rectangles.
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question 3 (multiple choice worth 1 points) (03.03r lc) which method an…
Use a rigid transformation to prove that $\angle OPN\cong\angle MLN$
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4. in △def, ∠d ≅ ∠f. the measure of ∠d is nine more than nine times a n…
\(\angle D = 81^{\circ}\), \(\angle F = 81^{\circ}\), \(\angle E = 18^{\circ}\)
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name the marked angle in 2 different ways.
\( \angle VWU \), \( \angle W \)
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find the exact value of csc j in simplest form.
\(\frac{\sqrt{29}}{5}\)
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3. (-3, 3)
The point \((-3, 3)\) lies in Quadrant II.
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name the marked angle in 2 different ways.
\( \angle BCD \) and \( \angle C \)
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the shape is cut into 6 equal parts. shade \\(\\frac{2}{3}\\) of the sh…
Shade 4 out of the 6 equal parts of the circle.
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find the exact value of \\csc b in simplest form. triangle with vertice…
\(\frac{29}{20}\)
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question 1 (multiple choice worth 1 points) (23.02r mc) which of the fo…
C. \( \angle ACB \cong \angle E'CD' \); translate point \( D' \) to point \( B \) (assuming the third option is labeled C; if the original options have different labels, adjust ac…
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if m∠fhc = 96°, then what is m∠ehd? answer attempt 1 out of 2 m∠ehd = b…
$96$
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use the equation below to find a, if b=4 and h=9. a = bh a = blank refr…
36
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assume that the set of given information is true. use this set of infor…
D. The rectangle is a square.
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find the exact value of sin x in simplest form. triangle with right ang…
$\frac{\sqrt{10}}{4}$
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name ______ 4. be precise do you agree with the following statement? ex…
No, because the translation vector from \((3, -1)\) to \((-1, 8)\) is \((-4, 9)\), and applying it to \((2, 10)\) gives \((-2, 19)\), not \((-4, 19)\). ### Question 5
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a star is shown above point q, with three additional stars r, s, and t.…
B) Figure \( S \)
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find the exact value of cos y in simplest form. triangle with right ang…
$\frac{\sqrt{19}}{10}$
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if m∠ehd = 111°, then what is m∠fhd? answer attempt 1 out of 2 m∠fhd = …
$69$
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find the exact value of sec y in simplest form. triangle wxy (right - a…
\(\frac{8}{5}\)
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if m∠dhe = 82°, then what is m∠dhf? answer attempt 1 out of 2 m∠dhf = |…
$98$
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the diagram shows figures rotated about point p. text alternative: wher…
D) \( M \)
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the figure on the right is a scaled copy of the figure on the left. ans…
IL ### Second Sub - Question: Scale Factor
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question 2 (1 point) polygon b is a scaled copy of polygon a. what is t…
The scale factor is \( 2 \). ### Part 2: Missing Lengths in Polygon B #### Vertical Side (Corresponding to 1.5 in A)
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find the exact value of sin a in simplest radical form.
\(\frac{1}{2}\)
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find the missing length of each side marked with ? in polygon b. determ…
s: - Polygon A angles: \(53^\circ\) (right?), \(82^\circ\) (bottom?). - Polygon B sides: left? = 3, right? = 5. (Note: The exact correspondence depends on the figure's orientation…
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find the exact value of cos a in simplest radical form.
$\frac{1}{3}$
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which angle number represents an angle vertical to ∠tyw? answer attempt…
6
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find the value of x if rs = 24 centimeters. diagram: line segment rts w…
\( x = 3 \)
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question find the exact value of sin a in simplest radical form. b 7 c …
$\frac{7\sqrt{65}}{65}$
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question 12 lesson 1-2 practice: line segments find the measure of \\(\…
17
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find the measure of (overline{de}). diagram: points c, d, e on a line, …
17