Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which segment is opposite to $\\angle x$? right triangle with right ang…
$\overline{QZ}$
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the graph of $f(x)=|x| - 5$ is a translation of the graph of the parent…
down
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multiple choice (2 pts. each) **#1.) in parallelogram abcd, ae = 2x + 4…
D. 12 ### Question 2
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which segment is opposite to ∠j? triangle with right angle at z, vertic…
$\overline{YZ}$
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7. ______ k = ______
\(k=\frac{1}{3}\)
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which segment is adjacent to $\\angle n$? (image of triangle bcn with r…
$\overline{BN}$, $\overline{CN}$
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which segment is the hypotenuse? (image of a right triangle with right …
$\overline{NV}$
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determine whether the dilation from figure a to factor. 5. (figure with…
The dilation from Figure A to Figure B is a reduction with a scale factor of \(\frac{1}{3}\) (assuming the base of A is 6 units and base of B is 2 units, so \(k = \frac{2}{6}=\fra…
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6 graph $y = \\frac{3}{2}x - 4$.
The graph is a straight line passing through the points $(0, -4)$ and $(2, -1)$, extending across the coordinate plane.
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5 what must be the value of y below so that the line passing through th…
C. 18
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4 the slope of the line that passes through points $(-2, 3)$ and $(10, …
D. 0
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find the measure of angle c. angle c = \\boxed{}^\\circ
\(66\)
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find the measure of angle b. angle b = \\boxed{}^\\circ
\(20\)
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plotting mixed numbers on a number line plot $2\\frac{5}{6}$ and $1\\fr…
To plot $1\frac{1}{3}$ (which is $1\frac{2}{6}$) on the number line: Start at 1, move 2 small segments (each of length $\frac{1}{6}$) to the right. To plot $2\frac{5}{6}$: Start a…
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2. in triangle abc, angle a is 35° and angle b is 20°. select all trian…
The triangles similar to \(\triangle ABC\) are: - triangle DEF where angle D is \(35^{\circ}\) and angle E is \(20^{\circ}\) - triangle JKL where angle J is \(35^{\circ}\) and ang…
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figure 1 and figure 2 below are congruent. which point corresponds to p…
Point N
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question determine the relationship between the two triangles and wheth…
The two triangles are related by the Side-Angle-Side (SAS) congruence criterion, so the triangles can be proven congruent.
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volume of solid of revolution level 1 (non - calculus) score:1.5/5 pena…
301.6
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volume of solid of revolution level 1 (non - calculus) score:1.5/5 pena…
301.6
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volume of solid of revolution level 1 (non - calculus) score: 1.75/5 pe…
339.3
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volume of solid of revolution level 1 (non - calculus) score: 0.75/5 pe…
113.1
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volume of solid of revolution level 1 (non - calculus) score: 1/5 penal…
175.9
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volume of a cylinder score: 2/5 penalty: 0.25 off question a cylinder h…
1492.3
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volume of a cylinder score: 1/5 penalty: 0.25 off question a cylinder h…
254.5
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volume of a cylinder score:0/5 penalty: 0.25 off question what is the v…
2544.7
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read the passage. during the middle ages, the period of european histor…
The moat’s dimensions prevented invaders from using tall platforms and ladders to reach defensive walls.
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the coordinates for points f, g, h, j, and k are also shown in the tabl…
Points \( F \) and \( D \) are located on the same horizontal grid line because they have the same \( y \)-coordinate (\( y = 3 \) for \( F(8, 3) \) and \( D \) also has \( y = 3 …
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canavs hw- 6.1 and 6.2 mini quiz review 1 multiple choice 1 point y = 1…
A. Parallel
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quadrilateral pqrs is an isosceles trapezoid and $m\\angle r = 2a + 99^…
\(a = 2\)
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if qr = y - 14, pq = 3y - 73, and tu = y, what is the value of y? (ther…
\( \boxed{33} \)
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the y-intercept of the two following points is (2,0) (true or false) (0…
False
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the y-intercept of the two following points is (4,0) (true or false) (0…
False
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if \\(\\frac{y}{x} = 0.9\\), what is the measure of \\(\\alpha\\) to th…
$64^\circ$
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18 shape a is reflected in the line with equation ( x = 2 ) to give sha…
A translation by the vector $\begin{pmatrix} 8 \\ 0 \end{pmatrix}$ (or a horizontal shift 8 units to the right)
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a rectangular park is 65 yards wide and 110 yards long. give the length…
width = 80 yards length = 95 yards *Note: Any pair of positive numbers that add to 175 and are closer to each other than 65 and 110 is valid, e.g., 85 and 90, 75 and 100, etc.*
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a rectangular field is 60 yards wide and 100 yards long. give the lengt…
width = 50 yards length = 110 yards *Note: Any pair where $l'+w'=160$ and the difference between $l'$ and $w'$ is greater than 40 (the difference in the original rectangle) will w…
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a rectangular park is 140 meters long and 90 meters wide. give the leng…
width = 80 meters length = 150 meters *Note: Any pair where $l' + w' = 230$ and the values are not 140 and 90 (and not equal to each other, as that would be a square with maximum …
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find the value of x. (there is a quadrilateral with angles 125°, 75°, 7…
$88^\circ$
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find the value of x. (a quadrilateral with angles x°, 118°, 97°, 92° is…
$53^\circ$
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6. here are two right triangles. a. explain how you know the right tria…
a. Both are right triangles with shared acute angle $\alpha$, so by AA similarity, they are similar. b. $\frac{q}{r}$ c. $\frac{x}{z}$, $\frac{q}{s}$ d. The triangles are similar,…
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8. which of the following equations matches the diagram? a. $x = \\frac…
a. I. $x = \frac{25}{\cos 40}$ b. 32.6
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given: in △abc shown, \\(\\overline{ba} \\cong \\overline{bc}\\). prove…
| Statement | Reason | |-----------|--------| | 1) $\overline{BA} \cong \overline{BC}$ | 1) Given | | 2) $\overline{BD} \cong \overline{BD}$ (where $D$ is midpoint of $\overline{A…
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8. rectangle quad is dilated by a factor of 3, with the origin at the c…
B. 18 units
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7. in triangle abc; the angle c is a right angle, $\\cos a = \\frac{\\s…
A. $\frac{\sqrt{31}}{3}$
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6. the figure is not in scale. select all the statements in the figure …
A. $\Delta KOM \sim \Delta DOC$ D. $KM \parallel DC$
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3. given segments ab with the length of 2 inches. using a compass and a…
B. Segments AB and XY are perpendicular to each other. C. Segments AB and XY bisects each other. D. Triangles AXB and AYB are isosceles triangle and congruent.
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2. what is the equation of the circle with center at (-1, -3) and radiu…
A. $(x + 1)^2 + (y + 3)^2 = 2$ *(Note: The correct right-hand side should be 16, but this is the only option with the correct form for the given center)*
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end-of-unit 7 review: right triangle trigonometry 1. what is the length…
a. $7\sqrt{3}$ square units
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given: ∠cpn and ∠plh are supplementary prove: \\overleftrightarrow{ck} …
### Step 5: \( \boldsymbol{m\angle LPK + m\angle HLP = 180^\circ} \) ### Step 6: \( \boldsymbol{\angle LPK} \) and \( \boldsymbol{\angle HLP} \) are supplementary ### Step 7: Conv…
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1. given point a(3, -4) and b(8, -6) in the direction ab., what is the …
*No correct option matches the calculated result. The correct y-coordinate is $\boldsymbol{-5.2}$ or $\boldsymbol{-\frac{26}{5}}$*
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given: ∠cpn and ∠plh are supplementary prove: $overleftrightarrow{ck} \…
2. \(m\angle CPN + m\angle PLH = 180^\circ\) 5. \(m\angle LPK + m\angle PLH = 180^\circ\) 6. \(\angle LPK\) and \(\angle PLH\) are supplementary 7. Converse of the Same - Side Int…
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1. given point a(3, -4) and b(8, -6) in the direction ab., what is the …
1. None of the provided options match the correct calculated value of $y=-5.2$. 2. None of the provided options are correct; the correct equation is $(x+1)^2 + (y+3)^2 = 16$.
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a if ko = on and mo = ol, then δkol ≅ δnom. b if n is a midpoint of seg…
1. ASA postulate - Figure C 2. SSS postulate - Figure B 3. SAS postulate - Figure A
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given △hpr is shown in figure. l is a midpoint of hp and hr || lt which…
A. $\Delta HPR \simeq \Delta LPT$, D. $\frac{LP}{LH} = \frac{LT}{HR}$, E. $\frac{PT}{LT} = \frac{PL}{LH}$
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triangles worksheet use the figure to find the measure of each angle. 1…
### Problem 1 (Angle Measures in Triangles and Lines) #### (a) \( m\angle BCA \) Assume \( \triangle ABC \) is isosceles (marked with equal sides). Let's find \( \angle BCA \). Fi…
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2 a rectangle has the following dimensions. a) the rectangle has a widt…
a) $x = 4$ b) The width of the rectangle is 34 inches.
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1 a triangle has side lengths of 15 centimeters, 11 centimeters, and 3.…
$x = 14$
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1 a triangle has side lengths of 15 centimeters, 11 centimeters, and 3.…
$x = 14$
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for each problem, a) create an equation to solve for x. b) solve the eq…
a) $15 + 11 + 3.5x = 75$ b) $x = 14$
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a rectangle has side lengths of 4 and 75. below is the rectangle split …
(a) Missing length = 70; Blue area = 280 square units; Pink area = 20 square units (b) $4 \times 75 = 300$
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find the perimeter. include the unit. 8 yd 6 yd 9 yd 6 yd 10 yd in ft yd
39 yd
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using the pencil, plot the reflection of point a across the x-axis.
The reflected point is located at coordinates $(8, -3)$ (plotted on the grid 8 units right of the origin and 3 units below the x-axis).
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1 a triangle has side lengths of 15 centimeters, 11 centimeters, and 3.…
a) $x = 14$ b) The length of the unknown side is 49 centimeters.
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find the length of \\(\\overline{xy}\\). x is at -12, y is at 33. \\(xy…
$45$
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find the length of \\overline{st}.\ \ s is at -12, t is at 47.\ st = ?
59
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which figure fits this geometric notation? \\(\\overrightarrow{jk}\\)
B. <The middle figure with point J as the start, passing through K, and an arrow pointing away from J>
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which figure fits this geometric notation? \\overline{cd}
The third figure (the segment with endpoints C and D, no arrows)
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b.5 additive property of length tra if $st = x + 5$, $tu = 2x$, and $su…
$2$
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if vw = 2 and uw = 7, what is uv? u v 2 w 7 write your answer as a deci…
5
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the lengths of the sides of a triangle are in the extended ratio 5 : 7 …
20, 28, 40
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the lengths of the sides of a triangle are in the extended ratio 6 : 7 …
30, 35, 45
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complete the lesson reflection above by circling your current understan…
$8(k+5)^2$ --- ### For problem 26: #### Part a
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14) 17x - 4 12 + 15x relationship: congruent or supplementary? equation…
14.) Relationship: Corresponding Angles (Congruent); Equation: $17x - 4 = 12 + 15x$; $x=8$ 15.) Relationship: Same-Side Interior Angles (Supplementary); Equation: $(x + 75) + (x +…
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math homework: scale drawings day 1 shemar, jalil and andres are drawin…
A) Length $A = 8$ cm B) Length $B = \frac{40}{3} \approx 13.33$ cm Scale factor: $\frac{1}{45.72}$ (or $\frac{1\text{ cm}}{4.572\text{ ft}}$), calculated by dividing the sketch's …
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name the relationship between ∠1 & ∠2, and then decide whether ∠1 and ∠…
## Top Section (∠1 & ∠2): 7.) Relationship: Alternate Exterior Angles; Congruent 8.) Relationship: Alternate Interior Angles; Congruent 9.) Relationship: Corresponding Angles; Con…
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find the tangent of ∠v. t ----13---- v \\ | \\ | 5 \\ | \\ | \\ | \\ | …
First, calculate the length of \(TU\): \(\sqrt{13^2 - 5^2} = 12\) \(\tan(V) = \frac{12}{5}\)
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do you know how? simplify each product. 11. $(x + 3)(x + 6)$ 12. $(2x -…
11. $x^2 + 9x + 18$ 12. $2x^2 + x - 15$ 13. $x^3 + 5x^2 + 2x - 8$ 14. $x^2 + 2x - 15$
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problem 4 factoring a polynomial model got it? in problem 4, suppose th…
\(9x^2(4 - \pi)\)
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find the relative clause. if it is nonrestrictive, set it off with comm…
whose fishing line became hopelessly tangled around Caleb's oar
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something has gone wrong, i saw there are triangles but i only know 8.5…
8.86 inches
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close reading on page 46, the author says that athena shares her skills…
B. Arachne did not show her thanks to Athena. # Show Your Thinking Explanation: The story states Athena shares weaving skills with humans, and Arachne challenged Athena (disguised…
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Question was provided via image upload.
For \(9,41\), the third number is \(40\) ### Part (ii)
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adjacent angles that share a side congruent angles with the same measur…
1. \(\angle PK L\) and \(\angle LKN\) 2. \(\angle PK O\) and \(\angle OK N\) ### Question 8: Name two pairs of adjacent angles.
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which statement from \john redding goes to sea\ best supports the idea …
A. "Pa, when ah gets as big as you Ah'm goin' farther than them ships. Ah'm goin' to where the sky touches the ground."
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find the circumference of each circle to help crack the code and did yo…
| Circle | Circumference (1 d.p.) | |--------|-------------------------| | A | 15.7 | | B | 25.1 | | C | 11.6 | | D | 34.6 | | E | 50.3 | | F | 9.1 | | G | 37.7 | | H | 56.5 | | I…
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find the circumference of each circle to help crack the code and answer…
- D: 34.6 - E: 31.4 - F: 9.1 - G: 18.9 - H: 28.3 - I: 25.8 - J: 13.8 - K: 37.7 - L: 23.6 - M: 64.4 - N: 31.4 - O: 29.2 - P: 53.4 - Q: 47.1 - R: 49.3 (Note: Pre-filled circles A-C …
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find the circumference of each circle to help crack the code and answer…
G: 18.8 H: 28.3 I: 25.8 J: 13.8 K: 37.7 L: 23.6
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geometry ii 9.2 reflections (worksheet) graph the image of the figure u…
1. Reflected points: $N'(4,1)$, $F'(2,0)$, $P'(-1,-2)$, $W'(4,-3)$ (connect these to graph the image) 2. Reflected points: $J'(2,0)$, $I'(4,0)$, $K'(5,1)$, $H'(2,3)$ (connect thes…
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find the circumference of each circle to help crack the code and answer…
A: 15.7 B: 25.1 C: 11.6 D: 34.6 E: 50.3 F: 9.1
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graph the image of trapezoid stuv after a dilation with a scale factor …
The dilated trapezoid \( S'T'U'V' \) has vertices at \( S'(-9, -9) \), \( T'(9, -9) \), \( U'(9, 9) \), \( V'(0, 9) \). To graph it, plot these points and connect \( S' \) to \( T…
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express cos q as a fraction in simplest terms. (there is a right triang…
$\frac{\sqrt{5}}{4}$
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the figure below is dilated by a factor of 4 centered at the origin. pl…
To plot the dilated image, we first find the coordinates of the original vertices, then apply the dilation rule \( (x,y)\to(4x,4y) \) to each vertex, and then plot the new vertice…
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7 consider these graphs of linear equations. decide which line has a po…
- line m has a negative slope. The slope of m is \(-20\). - line l has a positive slope. The slope of l is \(20\).
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4. how does this literary device convey the central idea? □ i chose one…
To answer this, we'll assume a common literary device (e.g., Symbolism) and a central idea (e.g., "the power of hope in adversity"). ### Step 1: Choose a Literary Device Let’s pic…
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determine whether the graph is a tree. if the graph is not a tree, give…
The graph is a tree.
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read the passage. i clicked on the light switch and my jaw dropped. my …
parallel sentence structure
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look at the system of inequalities. $x - y \\leq 1$ $y \\geq -5$ $x - y…
\((-7, -5)\) \((-4, -5)\) \((10, 9)\) \((7, 9)\)
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look at the system of inequalities. $y \\leq -\\frac{1}{3}x + 2$ $x \\g…
Los vértices de la región triangular son \( (0, 0) \), \( (0, 2) \) y \( (6, 0) \).
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ure to find x? there is a straight line with a ray forming an angle. on…
\(x = \frac{127}{3} \approx 42.33\) (or if there's a typo and it's \(3x - 1\), then \(x = 43\), but based on the given, it's \(\frac{127}{3}\))
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(a) plot $2pi$ and $4sqrt{3}$ on the decimal number line. note that you…
(a) Plot \( 2\pi\approx6.28 \) (between \( 6.2 \) and \( 6.3 \)) and \( 4\sqrt{3}\approx6.93 \) (between \( 6.9 \) and \( 7 \)) on the number line. (b) \( 2\pi\ <\ 4\sqrt{3} \) (s…