Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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in the square below, ( mangle pgq = (-3x)^circ ). find ( x ).
\( x = -15 \)
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in the square below, $m\\angle shp = (-2x - 28) ^\\circ$. find $x$.
\(x = -36.5\)
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in rhombus pqrs, m∠qrt = 37°, rs = 10 and qt = 6. find the length of \\…
6
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the passages below show how people of different economic classes spent …
Since the specific descriptions to classify (whether they apply to wealthy people, people in poverty, or both) are not provided, we can't complete the task yet. However, here's ho…
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in rhombus vwxy, m∠vyz = 53°, xy = 5 and xz = 4. find the length of (ov…
\( \boxed{8} \)
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based on the characteristics described above, decide whether each state…
Likely not part of the middle class (select the circle under "Likely not part of the middle class" for this statement) ### Statement 2: "My husband and I manufacture clothes in a …
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the first three terms of a geometric sequence are as follows. -256, -64…
$-4, -1$
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find the $11^{\\text{th}}$ term of the following geometric sequence.\ 1…
1048576
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5.3.3 quiz: tests for parallelograms if pqrs is a parallelogram, what i…
C. 52
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question 4 of 10 which of these statements describe properties of paral…
A. Opposite sides are congruent, B. Opposite angles are congruent, C. Consecutive angles are supplementary, E. Diagonals bisect each other, F. Opposite sides are parallel
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in rhombus vwxy, ( mangle xwz = 62^circ ), ( vy = 17 ) and ( vz = 15 ).…
\( m\angle VZW = \boxed{90^\circ} \) \( m\angle XYZ = \boxed{124^\circ} \) \( m\angle YXZ = \boxed{28^\circ} \)
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question 3 of 10 defg is definitely a parallelogram. a. true b. false
A. True
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question 2 of 10 if two opposite sides of a quadrilateral are perpendic…
B. False
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question 1 of 10 if both pairs of opposite angles of a quadrilateral ar…
B. False
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the marvelous new militancy which has engulfed the negro community must…
Definition of inextricably: In a way that is impossible to disentangle or separate. Clues: The phrases "their destiny is tied up with our destiny" and "their freedom is... bound t…
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question 4 of 10 the statement \if a, then b\ can best be described as …
D. If A is true, then B must be true.
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solve the inequality and graph the solution on the line provided. -9 + …
Inequality Notation: $x \leq 7$ Number Line: Draw a closed circle at 7, and shade all values to the left of 7 (including 7) on the provided number line.
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find the angle α that satisfies the following equation, where ( 0^circ …
\(30\)
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question 10 of 10 which of the following is most likely the next step i…
A. $\triangle$ (Triangle)
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question 8 of 10 which of the following is most likely the next step in…
D. The figure with a horizontal line to the right, a vertical line up, and three dots (center, right, top)
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question 7 of 10 which figure shows an example of symmetry? a. b. c. d.
C. The figure in option C has left and right halves that are mirror images across the dashed line, showing symmetry.
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use a calculator to find the value of the acute angle \\(\\theta\\) to …
$78$
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find the acute angle \\(\\theta\\), to the nearest tenth of a degree, f…
$40.0$
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find the measure of the side of the right triangle whose length is desi…
$33$
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i am from _chipped coffee mugs and tangled phone charger _ (specific or…
The task is a creative writing/fill - in - the - blank activity under the "Writing" subfield of Arts. To complete it, one needs to provide appropriate content for each blank based…
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find ( mangle b ). write your answer as an integer or as a decimal roun…
\( 22.7 \)
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find ( mangle u ). write your answer as an integer or as a decimal roun…
\( 70.9 \)
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rewrite \\(\\cos 80^{\\circ}\\) in terms of its cofunction.\\(\\cos 80^…
$\sin 10$
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( x=-1 \), \( y = - 5 \) (or the ordered pair \( (-1,-5) \)).
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use the given triangles to evaluate the following expression. if necess…
$\frac{\sqrt{3}}{2}$
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use the triangle shown to the right to evaluate the following expressio…
$\frac{\sqrt{3}}{2}$
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12. figure abcd is shown on the coordinate plane below. the figure will…
D. \((-6, 8)\) ### Question 3
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use the pythagorean theorem to find the length of the missing side of t…
Missing side length: $a = 16$ Trigonometric functions: $\sin\theta = \frac{8}{17}$, $\cos\theta = \frac{15}{17}$, $\tan\theta = \frac{8}{15}$, $\csc\theta = \frac{17}{8}$, $\sec\t…
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special pool order - challenge question! your client asked for a pool d…
The pool has dimensions of 16 meters and 5 meters (length and width can be swapped). To draw the pool: 1. Sketch a rectangle. 2. Label one pair of opposite sides as 16 m, and the …
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10. trapezoid abcd and its image abcd are shown on the coordinate plane…
C. reflection over the \(y\) axis and then a rotation of \(180^{\circ}\) about the origin ### Question 11
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3. describe a sequence of transformations that could map the pre - imag…
One possible sequence is: Reflect the pre - image over the y - axis and then translate 1 unit down (or translate 6 units to the right and 1 unit down, or other valid sequences of …
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blanca rivera is purchasing the piece of velveteen that is pictured in …
Question 1: 2304 square inches Question 2: $190$
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l - shaped figures part 1 of 2 1 2 tryin below is a blueprint for a art…
Question 1: 50 feet Question 2: 60 feet Question 3: 288 feet
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solve the inequality both algebraically and graphically. draw a number …
Algebraic solution: $x < \frac{93}{5}$ Interval notation: $(-\infty, \frac{93}{5})$ Graph description: Open circle at $\frac{93}{5}$ (18.6) on the number line, shading extending t…
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which angles are supplementary to each other? select all that apply. ∠5…
The supplementary angle pairs are \(\boldsymbol{\angle5}\) and \(\boldsymbol{\angle4}\), \(\boldsymbol{\angle5}\) and \(\boldsymbol{\angle1}\), \(\boldsymbol{\angle4}\) and \(\bol…
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which angles are vertical to each other? select all that apply. ∠2 and …
$\boldsymbol{\angle2}$ and $\boldsymbol{\angle4}$
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which angles are supplementary to $\\angle 12$? select all that apply.
\(\angle4\), \(\angle9\), \(\angle7\), \(\angle5\)
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kdsx is an isosceles trapezoid, as shown, where ( mangle k = (35z - 20)…
9: $z = 3.84$, $t = 4.06$
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question 1: the area of a park is 4680 square feet. how many square yar…
1. 520 square yards 2. 639 sq ft 3. 41 $\text{ft}^2$ 4. 7344 square inches
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the rectangle is made of unit squares. what is the area of the rectangl…
12
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an oblique square prism is shown. which expression represents the volum…
$\boldsymbol{x^2(x-2)}$ cubic units
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select all the pentagons.
The pentagons are the first (green - sided), second (blue - sided top - right), and third (blue - sided bottom - left) figures.
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an oblique cylinder has a radius of 10 units and slant length of 26 uni…
2,400π cubic units
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a right prism has a rhombus as a base. the height of the prism is 6 inc…
6 in. by 8 in.
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find ( mangle g ). write your answer as an integer or as a decimal roun…
\( 64.5 \)
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the base of a hexagonal prism has an apothem measuring 10 inches and an…
831 square inches
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a solid oblique pyramid has a square base with edges measuring x cm. th…
$\frac{x^3 + 2x^2}{3}$ cm³ (corresponding to the first option)
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find a positive angle less than 2π that is coterminal with the given an…
$\frac{7\pi}{6}$
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which shape has 2 square corners?
The first (blue) shape (the pentagon - like shape with two right - angled top corners)
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the height of a right rectangular prism is 3 units greater than the len…
$x^3+3x^2$
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a sphere is cut into 8 congruent pieces. the radius of the sphere is 8 …
$80\pi$ cm²
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the circumference of the base of a cone is 24π inches. the slant height…
384π square inches
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14 what is the solution to the systems of equations below? a (2, 2) b (…
A. (2, 2)
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find ( mangle g ). write your answer as an integer or as a decimal roun…
\( 58.9 \)
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a rectangular prism has dimensions x units, 2x units, and x + 8 units. …
10$x^2$ + 48$x$ square units
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a cube has a lateral area of 676 square feet. what is the side length o…
13 feet
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a cube has a lateral area of 9 square centimeters. what is the length o…
1.5 cm
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convert the angle in radians to degrees. - 5.4 radians - 5.4 radians = …
$-309.40^\circ$
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convert the angle in radians to degrees.\\(\frac{5pi}{3}\\) radians\\(\…
$300$
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the triangular region shows the number of possible raisins, x, and numb…
28 raisins and 20 chocolate chips
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convert the following angle in degrees to radians. 153° 153° = □ radian…
$\frac{17}{20}\pi$
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find the radian measure of the central angle of a circle of radius 6 ya…
$\frac{5}{3}$
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chapter 7 test prep (continued) 13. what is the most specific name for …
To solve these problems, we'll address each one step by step. Let's start with problem 13: ### Problem 13: **Question:** What is the most specific name for the quadrilateral with …
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question 3 1 pts which of the following statements is false? all square…
B. All Rectangles are squares ### Question 4
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solve for x. options: 82.5, 180, 115, 55
\(x = 55\) (corresponding to the option "55")
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question 1 1 pr solve for y. 135° y° 112° 88° 130 108 115 90
\(115\)
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arc cd is \\(\\frac{2}{3}\\) of the circumference of a circle. what is …
\(\frac{4\pi}{3}\) radians (corresponding to the option " \(\boldsymbol{\frac{4\pi}{3}}\) radians")
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circle o has a circumference of approximately 44 in. what is the approx…
14 in. (The option is 14 in. which corresponds to the second option in the given choices)
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circle o has a circumference of approximately 250π ft. what is the appr…
D. 250 ft
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if a system of equations has no solution, what does the graph look like…
2. parallel lines
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△uvw and △stw are equilateral. complete the proof that △swv ≅ △tuw. sta…
| Statement | Reason | |-----------|--------| | 1. $\triangle UVW$ is equilateral | Given | | 2. $\triangle STW$ is equilateral | Given | | 3. $\overline{UW} \cong \overline{VW}$ …
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decide whether the parallelogram is a rhombus, a rectangle, or a square…
The parallelogram is a rhombus because it has four congruent sides.
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decide whether the parallelogram is a rhombus, a rectangle, or a square…
The parallelogram is a square because it has four equal sides (all sides marked equal) and a right angle (so it's a rectangle and a rhombus, hence a square). (For the dropdowns: f…
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∠fgk ≅ ∠hji, overline{gh} ≅ overline{jk}, and ∠fkg ≅ ∠ihj. complete the…
| Statement | Reason | |-----------|--------| | 1. $\angle FGK \cong \angle HJI$ | Given | | 2. $\overline{GH} \cong \overline{JK}$ | Given | | 3. $\angle FKG \cong \angle IHJ$ | …
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$\\angle fgk \\cong \\angle hji$, $\\overline{gh} \\cong \\overline{jk}…
1. Reason for Statement 5: Segment Addition Postulate 2. Reason for Statement 8: ASA Congruence Postulate
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$overline{vx} cong overline{wy}$, $angle wmy cong angle wmx$, and $over…
| Statement | Reason | |-----------|--------| | 1. $\overline{VX} \cong \overline{WY}$ | Given | | 2. $\angle VWY \cong \angle WVX$ | Given | | 3. $\overline{VW} \parallel \overli…
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line 1: $y = \\frac{1}{2}x - 1$ line 2: $y = x - 1$ image of a coordina…
This system of equations is: consistent independent This means the system has: a unique solution Solution: $(0, -1)$
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line 1: $y = -dfrac{1}{2}x - dfrac{5}{2}$ line 2: $y = 2x + 5$ this sys…
This system of equations is: consistent independent This means the system has: a unique solution Solution: $(-3, -1)$
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$\\angle vuw \\cong \\angle xuy$, $\\overline{ux} \\cong \\overline{uw}…
1. Given 2. Given 3. Given 4. Angle Addition Postulate 5. Angle Addition Postulate 6. Substitution Property 7. Transitive Property of Equality 8. ASA Congruence Postulate
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system a line 1: $y = 3x + 4$ line 2: $y = 3x - 2$ graph of two lines t…
This system of equations is: $\boldsymbol{\text{inconsistent}}$ This means the system has: $\boldsymbol{\text{no solution}}$ --- ### System B
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statement: 1. \\(\\overline{st} \\cong \\overline{tu}\\) 2. \\(\\overli…
1. Reason for Statement 12: Transitive Property of Equality 2. Reason for Statement 13: SSS Congruence Postulate
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use the (x,y) coordinates in the given figure to find the value of the …
A. $\sec 0 = 1$
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statement: 1. (overline{st} cong overline{tu}) 2. (overline{tx} cong ov…
| Statement | Reason | |-----------|--------| | 1. $\overline{ST} \cong \overline{TU}$ | Given | | 2. $\overline{TX} \cong \overline{TW}$ | Given | | 3. $\overline{VW} \cong \over…
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a point p(x,y) is shown on the unit circle corresponding to a real numb…
$\frac{2\sqrt{3}}{3}$
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statement 1 ( \triangle uxy cong \triangle vwy ) 2 ( overline{ux} cong …
| Statement | Reason | |-----------|--------| | $\Delta UXY \cong \Delta VWY$ | Given | | $\overline{UX} \cong \overline{VW}$ | CPCTC | | $\overline{UY} \cong \overline{VY}$ | CPC…
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calculating the lateral area of a cone if the slant height of a right c…
15
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12, (5x + 1)°, (6x + 1)°
$x = 8$
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△uxy ≅ △wvy. complete the proof that △uvx ≅ △vwu. statement | reason --…
| Statement | Reason | |-----------|--------| | 1. $\triangle UXY \cong \triangle VWY$ | Given | | 2. $\overline{UX} \cong \overline{VW}$ | CPCTC | | 3. $\overline{UY} \cong \over…
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4, 3x°, 60°, angle pairs with equations
$x = 10^\circ$
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strengthening concepts written practice 1. convert the improper fractio…
The diameter of the circle is 8 cm. The radius is half of the diameter (or the diameter is twice the radius), so if the radius is 4 cm, multiplying by 2 gives the diameter. ### Pr…
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ilce guillermo - 127 angles with equations file edit view insert format…
# Explicación: ## Paso 1: Resolver el problema 1 Los ángulos $(x+12)^\circ$ y $112^\circ$ son suplementarios (suman $180^\circ$). $$(x + 12) + 112 = 180$$ $$x + 124 = 180$$ $$x = …
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12. isosceles $\\triangle abc$, base $\\overline{ac}$ $\\overline{bd} \…
10
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there are several geometric figures with angle expressions: - figure 10…
- Problema 7: $x=2$ - Problema 8: $x=11$ - Problema 9: $x=27$ - Problema 10: $x=31$ - Problema 11: $x=16$ - Problema 12: $x=\frac{90}{11}$
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which transformation would take figure a to figure b? answer a clockwis…
A reflection over the y-axis
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in the graph below, what is the line of reflection for $\\triangle xyz$…
A. y=2