Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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by the linear pair theorem, ∠2 is supplementary to ∠3, which means ( ma…
**Statement**: $m\angle2 + m\angle4 = 180^\circ$ **Reason**: substitution property of equality
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(17, -13), (17, 8)\ 6) (19, 3), (20, 3)\ (3, 0), (-11, -15)\ 8) (19, -2…
It seems you want to find the distance between the given pairs of points or maybe the slope? Since the problem isn't specified, I'll assume we need to find the distance between ea…
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5) (17, -13), (17, 8)
The distance between the two points is \(21\).
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3. 6. 64° (x + 40)° (2x - 5)°
### Problem 3: # Explanation: ## Step1: Recall triangle angle sum (right triangle) In a right triangle, the sum of the two non - right angles and the right angle (90°) is 180°. Bu…
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(1, -19), (-2, -7)
The slope between the two points is \(-4\)
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graph the image of square stuv after a reflection over the x - axis.
The coordinates of the reflected square $S'T'U'V'$ are $S'(2, 8)$, $T'(5, 8)$, $U'(5, 5)$, $V'(2, 5)$. When plotted on the grid, these points form the reflected square above the x…
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find ( mangle t ). ( mangle t = square^circ ) submit
$30$
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graph the image of square stuv after a reflection over the x - axis.
The vertices of the reflected square are $S'(2, 8)$, $T'(5, 8)$, $U'(5, 5)$, $V'(2, 5)$. When these points are plotted and connected on the coordinate plane, they form the image o…
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4. copy this pentagon on grid paper. write the coordinates of each vert…
To solve this problem, we first identify the coordinates of the vertices of the pentagon from the grid. Let's assume the coordinates of the vertices are: - \( P(3, 3) \) - \( Q(-2…
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find the length indicated. 7) there is a line segment with points a, a …
The length of the indicated segment is 6.
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given the statement \if a line is horizontal, then it has slope equal t…
If a line does not have zero slope, then it is not a horizontal line.
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find eg. write your answer as an integer or as a decimal rounded to the…
7.8
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which terms describe this shape? choose all that apply. shape image kit…
rectangle, quadrilateral, parallelogram
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2. describe the horizontal and vertical distance required to move each …
(a): Horizontal: 3 units left, Vertical: 9 units up ### Part (b): \( B(-3, 0) \) to \( B'(-5, -3) \) ## Step 1: Horizontal Distance (\( \Delta x \)) \( \Delta x = -5 - (-3) = -2 \…
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3. the diagram shows 4 parallelograms. a) are any 2 parallelograms rela…
(a): Yes, e.g., Parallelogram A to B: translation 10 units right (or D to C: 10 units right). ### Part (b)
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write the formula to find the volume of a cube, show the length, width,…
a. \( V = s^3 \) (where \( s \) = side length) b. Length = 8, Width = 8, Height = 8 c. \( V = 8^3 = 512 \)
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a bucket starts with 6 milliliters of water in it. cameron is dropping …
3
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a bucket starts with 6 milliliters of water in it. cameron is dropping …
12
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directions: solve for x. 3. 4. 5. 6.
3. $x = 4.8$ 4. $x = \frac{420}{29} \approx 14.48$ 5. $x = \frac{240}{13} \approx 18.46$ 6. $x = 11.37$
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write the formula to find the area of a parallelogram, show the base an…
a. $A = b \times h$ b. Base = $\frac{A}{h}$; Height = $\frac{A}{b}$ c. Area = $b \times h$
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ángel started hiking at an elevation of 2 meters above sea level. he hi…
3
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** this is a 2 - page document! ** directions: identify the similar tri…
1. Similar triangles: $\triangle JKL \sim \triangle JKM \sim \triangle KML$ (sketched with aligned right angles and corresponding vertices) 2. Similar triangles: $\triangle WYZ \s…
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for exercises 2–5, find the values of x and y. 2. 3. 4. 5.
2. $x=2\sqrt{30}$, $y=2\sqrt{21}$ 3. $x=\sqrt{10}$, $y=3\sqrt{10}$ 4. $x=\frac{32}{3}$, altitude $=\frac{8\sqrt{2}}{3}$ 5. $x=24\sqrt{2}$, $y=8\sqrt{2}$
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find choose 1 answer. a (\frac{35}{12}) b (\frac{12}{35}) c (\frac{12}{…
A. $\frac{35}{12}$
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write the formula to find the area of a square, show the length and wid…
a. $A = s^2$ b. Length = 7 in, Width = 7 in c. $7^2 = 49$ square inches
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is hijk a square? justify your answer. yes, all sides are congruent, an…
Yes, all sides are congruent, and $\overline{HI}$ and $\overline{IJ}$ are perpendicular.
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is hijk a kite? justify your answer. yes, $overline{hi}$ is congruent t…
No, none of the sides are congruent.
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is fghi a trapezoid? justify your answer. yes, $overline{fi}$ is congru…
No, none of the sides are parallel.
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for exercises 2–5, find the values of x and y. 2. 3. 4. 5. 6. devin say…
$x = \frac{21\sqrt{58}}{29} \approx 5.5$, $y = \frac{21\sqrt{58}}{29} \approx 5.5$ --- ### Problem 3
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1. name the right triangles that are similar to $\\triangle qrs$.
$\triangle QTS$ and $\triangle STR$
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segment. 2. given $\\triangle jkl$, jamie writes a proportion to find $…
$\boldsymbol{\frac{18}{12 + MJ}}$ --- ### Problem 3
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choose the most specific classification of the following quadrilateral …
square
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trapezoid abcd is isosceles, where ( ab = cd ), ( mangle abc = (4x)^cir…
$44^\circ$
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practice angles of a triangle find the value of each variable. *please …
\(x = 85\) ### Problem 2
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angles of a triangle find the value of each variable. *please show your…
\( x = 85 \) If you want solutions for other problems, please provide more specific details about the problem number and the given angles (or other relevant information) for that …
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find \\(\\sin(\\beta)\\) in the triangle. choose 1 answer: a \\(\\dfrac…
D. $\frac{15}{17}$
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question 1-5 in trapezoid cdab, dc = 229, mn = 187 and ab = 3x + 7. fin…
$x = 46$
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question 1.6 in trapezoid (abcd), (dc = 289), (mn = 187) and (ab = 3x +…
$x = \frac{128}{3}$ (or approximately 42.67)
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find \\(\\tan(\\beta)\\) in the triangle. choose 1 answer: a \\(\\frac{…
C. $\frac{5}{12}$
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the graph shows the relationship between the number of marbles and the …
The two labeled points are $(0, 8)$ and $(2, 9)$. The equation of the line is $y = \frac{1}{2}x + 8$
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you do: check for understanding 6. a carpenter is searching through scr…
The measure of the third side must satisfy $2.4$ cm $< x < 78.6$ cm.
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for each function graphed below, determine whether it is linear, functi…
Function 1: Not linear Function 2: Linear
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7) two planes take off from the same airstrip. the first plane flies we…
The second plane is farther from the airstrip.
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partially correct answer all the questions before selecting check. use …
To correct the proof: ### Statement 3: \( \boldsymbol{\overline{RT} \cong \overline{RT}} \) (Reflexive Property of Congruence) ### Statement 5: Using CPCTC, the correct correspond…
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question 1 a given jklm is a trapezoid, ∠jkl ≅ ∠mlk, ∠jlk ≅ ∠mkl prove …
1. Reflexive Property of Congruence 2. ASA (Angle-Side-Angle) Congruence Postulate 3. $\overline{JK} \cong \overline{ML}$
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question 1-3 find the measures of ( x ) and ( y ) in the digram of the …
$x = 9$, $y = 5$
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which of the following is a true statement? options: - ( mangle bac = m…
$\boldsymbol{m\angle BAC > m\angle CAD}$
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read the problem carefully and solve. show your work under each questio…
1. Vertical 2. Supplementary 3. $55^\circ$ 4. $56^\circ$ 5. $50^\circ$
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2. ((a - 6)^2)\\4. ((5p + 2)^2)\\6. ((-12 - n)^2)\\8. ((0.5x - 0.7y)^2)…
\(a^2-12a + 36\) ### Problem 4: \((5p + 2)^2\)
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3 ft. 1 ft. b what is the length of the missing leg? if necessary, roun…
2.8 feet
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8.9 yd. 7.1 yd. b what is the length of the missing leg? if necessary, …
5.3 yards
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5. find the range of possible values for x.
The range of possible values for $x$ is $12.5 < x < 14.5$ (or $\frac{25}{2} < x < \frac{29}{2}$)
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what is the length of the missing leg? if necessary, round to the neare…
7.6 centimeters
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what is the length of the missing leg? if necessary, round to the neare…
4.4 millimeters
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what is the length of the missing leg? if necessary, round to the neare…
2.6 feet
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8 in. a 3 in. what is the length of the missing leg? if necessary, roun…
7.4 inches
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what is the length of the hypotenuse? if necessary, round to the neares…
2.8 inches
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what is the length of the hypotenuse? if necessary, round to the neares…
5.1 centimeters
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10 cm, 7 cm, a. what is the length of the missing leg? if necessary, ro…
7.1 centimeters
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what is the length of the hypotenuse? if necessary, round to the neares…
6.4 miles
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what is the length of the missing leg? if necessary, round to the neare…
30 yards
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what is the length of the missing leg? if necessary, round to the neare…
$6.9$ millimeters
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what is the length of the hypotenuse? if necessary, round to the neares…
85 kilometers
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what is the length of the missing leg? if necessary, round to the neare…
$b = 63$ feet
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01/22 - 45-45-90 practice l (online) a = 17, b = 24, c = 26 verify if t…
○ no
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01/22 - 45-45-90 practice l (online) a = 16, b = 30, c = 34 verify if t…
yes
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7. 8. 9. 10.
7. $u=8$, $v=8$ 8. $a=20$, $b=20\sqrt{2}$ 9. $MN=5\sqrt{2}$, $NP=10$ 10. $m=\frac{7\sqrt{2}}{2}$, $n=\frac{7\sqrt{2}}{2}$ 11. $AB=5\sqrt{2}$, $BC=5\sqrt{2}$
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3. triangle pqr with right angle at q, angles at p and r are 45° each, …
3. $PQ = 3$, $QR = 3$ 4. $GI = 5$, $HG = 5\sqrt{2}$ 5. $AB = 10\sqrt{2}$, $AC = 10\sqrt{2}$
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the perimeter of a rectangular patio is 64 feet. the width of the patio…
s: - For \( x \): \( x = 12 \) - For width: The width of the patio is 14 feet. - For length: The length of the patio is 18 feet.
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the length of one side of △prt is given. use the relationship between t…
### Table: | 30° | 60° | 90° | |-----|-----|-----| | $\frac{4\sqrt{3}}{3}$ | $4$ | $\frac{8\sqrt{3}}{3}$ | ### Missing Sides: $VT = \frac{4\sqrt{3}}{3}$ $PV = \frac{8\sqrt{3}}{3}$
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the length of one side of △ptv is given. use the relationship between t…
### Table: | $30^\circ$ | $60^\circ$ | $90^\circ$ | |---|---|---| | $x = 2\sqrt{3}$ | $x\sqrt{3} = 6$ | $2x = 4\sqrt{3}$ | ### Missing Sides: $PT = 2\sqrt{3}$ $PV = 4\sqrt{3}$
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the length of one side of \\(\\triangle ptv\\) is given. use the relati…
### Table: | 30° | 60° | 90° | |-----|-----|-----| | 9 | $9\sqrt{3}$ | 18 | ### Missing Sides: $PT = 9$ $VT = 9sqrt3$
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the length of one side of △ptv is given. use the relationship between t…
### Table: | $30^\circ$ | $60^\circ$ | $90^\circ$ | |------------|------------|------------| | 5 | $5\sqrt{3}$ | 10 | ### Missing sides: $PT = 5$ $PV = 10$
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the length of one side of △pty is given. use the relationship between t…
| $30^\circ$ | $60^\circ$ | $90^\circ$ | |------------|------------|------------| | $6$ | $6\sqrt{3}$| $12$ | $PY=12$ $VT=6\sqrt{3}$
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proof - complete the two - column proof. (see example 2.) 18) given ∠ab…
| STATEMENTS | REASONS | |------------|---------| | 1. $\angle ABD$ is a right angle.<br>$\angle CBE$ is a right angle. | 1. Given | | 2. $\angle ABC$ and $\angle CBD$ are complem…
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find the volume of the prism. v = ? m³
1920
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at \((0,3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\), symmetric about the \(x\) - axis and \(y\) - axis, and passing through…
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evaluate independent practice lesson 9.4 homework □ complete problems 1…
$x=11$, $y=17$
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visit www.bigideasmathvideos.com to watch the flipped video instruction…
Paragraph Proof: We are given that $\angle 1 \cong \angle 4$. By the Vertical Angles Theorem, vertical angles are congruent, so $\angle 1 \cong \angle 2$ and $\angle 3 \cong \angl…
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visit www.bigideasmathvideos.com to watch the flipped video instruction…
### For the paragraph proof: We are given that $\angle 1 \cong \angle 4$. By the Vertical Angles Theorem, $\angle 1$ and $\angle 2$ are vertical angles so $\angle 1 \cong \angle 2…
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explain 2b writing paragraph proofs visit bim.easyaccessmaterials.com, …
$x = 26$
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try this video extra example 3 for 3a - using the vertical angles congr…
### Problem 2: $m\angle1 = 128^\circ$, $m\angle2 = 52^\circ$, $m\angle4 = 52^\circ$ ### Problem 3 (Completed Two-Column Proof): | STATEMENTS | REASONS | |------------|---------| |…
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similarly, you can prove the congruent complements theorem. congruent c…
Completed two-column proof and flowchart proof as shown above.
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complete problems 25, 27, 28, 31, and 32 for independent practice. when…
### Problem 25 Proof Completion: | STATEMENTS | REASONS | |---|---| | 1. $PQ = RS$ | 1. Given | | 2. $PQ + QR = RS + QR$ | 2. Addition Property of Equality | | 3. $PQ + QR = PR$ |…
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try this video for extra example 5 and 6 - write a two-column proof. 2)…
### Completed Proof 2: | STATEMENTS | REASONS | |------------|---------| | 1. An angle with vertex A exists. | 1. Given | | 2. $m\angle A$ equals the measure of the angle with ver…
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try this video for extra example 3 - writing a two-column proof 1) use …
| STATEMENTS | REASONS | |------------|---------| | 1. $\angle1$ is supplementary to $\angle3$. | 1. Given | | 2. $m\angle1 + m\angle3 = 180^\circ$ | 2. Definition of supplementar…
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this is a diagram of the roof of a house, when viewed from the side. if…
The length of one of the rooftop slanted sides is \(\boldsymbol{14}\) feet.
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solve for n. do not convert your answer to decimal form. draw 12 show y…
\(12\sqrt{2}\)
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use a trigonometric ratio to solve for z. round to two decimal places a…
\(z\approx9.63\)
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given the figure shown below, determine the length of c. draw 36 in² 25…
\(\sqrt{61}\) inches (or approximately 7.81 inches, but exact form is \(\sqrt{61}\))
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the diagram below shows the relationship between the sides of a right t…
18
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solve for y. do not convert your answer to decimal form. draw (right tr…
\(y = 4\)
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solve for ( x ). do not convert your answer to decimal form. draw show …
\(12\sqrt{3}\)
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solve for ( a ). do not convert your answer to decimal form. rationaliz…
\(\frac{10\sqrt{3}}{3}\)
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im1 – 6.1 assignment segment addition, angle addition, distance and mid…
The length of \(\overline{CD}\) is \(3.8\) inches. ### Problem 2: Determine the length of \(\overline{RS}\)
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volume a cylindrical water bucket holds 71.6 cubic inches of water to k…
The volume of the water tank is approximately \( 1138.17 \) cubic inches (rounded to two decimal places) or following the calculation steps, the value is \( 1138.1715 \) cubic inc…
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a given circular cylinder has a radius of 5 inches (in) and a height of…
\( 785.714 \) cubic inches (or \( 785.714\space in^{3} \))
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how many square feet of outdoor carpet will we need for this hole? 11 f…
# Explanation: ## Step1: Divide the shape into a rectangle and two triangles. The main rectangle part: length is \( 7 \) ft, height is \( 6 \) ft? Wait, no, let's re - examine. Wa…
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how many square feet of outdoor carpet will we need for this hole? 4 ft…
26
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determine the most specific name for the quadrilateral. parallelogram r…
Parallelogram