Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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10 state which two non overlapping triangles are similar.
The two non - overlapping right - angled triangles (e.g., the larger triangle with vertices \((-2,4)\), \((-2,-2)\), \((2,-2)\) and the smaller triangle with vertices \((-4,-2)\),…
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describe the behavior of the graph below. a. the graph is increasing wh…
C. The graph is increasing for all values of x.
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question given: \\(\\overline{ca}\\) bisects \\(\\angle bad\\) and \\(\…
$\triangle ABC \cong \triangle ADC$
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the club members hiked 8 kilometers north and 9 kilometers east, but th…
\(\sqrt{145}\) (or approximately \(12.04\))
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unit 4 #b quiz review (r) score: 14/24 answered: 8/12 question 9 find x…
\( 73.74 \)
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the 2018 world cup broke the record for the most penalty kicks in a tou…
\( 14.7 \) (or other reasonable approximation based on calculator precision)
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12) $-\frac{47pi}{18}$
If finding a positive coterminal angle: \(\frac{25\pi}{18}\); If finding reference angle: \(\frac{7\pi}{18}\) (depending on the exact question, but the simplified coterminal posit…
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2. given $ac||de$, $bc=20$, $ec=14$, and $ad=25$, what is $bd$? round t…
# Explanation: ## Step1: Identify Similar Triangles Since \( AC \parallel DE \), triangles \( \triangle ABC \) and \( \triangle DBE \) are similar by the Basic Proportionality The…
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warm up: which three go together: arrows which three go together? why d…
C (the option labeled C)
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score on last try: 0 of 2 pts. see details for more. > next question ge…
\(x\approx55.30\)
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score on last try: 0 of 2 pts. see details for more. next question get …
\( x \approx 65.3 \) degrees (or depending on calculator precision, maybe 65.2 or 65.4, but approximately 65.3)
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1. identify whether the lines are parallel, perpendicular, or neither. …
Parallel
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b. consider the system below and answer the following questions: \\(\\b…
The lines will: \(\boldsymbol{\text{Be Infinite}}\) (Circle one) The system will have: \(\boldsymbol{\text{Infinite Solutions}}\) (Circle one)
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solve for x. 7) a) 10 b) 12 c) -5 d) -10 8) a) -12 b) 7 c) -7 d) 12 fin…
C) -7 ### Problem 9: Find measure of angle \( A \)
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move $\\triangle abc$ so it is a translation of $\\triangle abc$ accord…
# Explanation: ## Step1: Identify coordinates of \( \triangle A'B'C' \) First, find the coordinates of \( A' \), \( B' \), \( C' \). From the graph: - \( A' \): Let's assume its o…
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find the values of x and y. write your answers in simplest form. x = y =
\(x = 18\), \(y = 6\sqrt{3}\)
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4 the equation of line a is y = 7x + 14. line b is perpendicular to lin…
C. $x = 0, y = 14$
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Question was provided via image upload.
A. \( x = -3, y = 8 \)
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figure qrst is graphed on a coordinate plane. determine the coordinates…
The coordinates of \(R'\) are \((6, 12)\)
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the area of a rectangle (base × height) is 168 square ft. the height is…
7 ft
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5. how wide is this bay? 6. on june 30, 1859, jean françois gravelet cr…
The width of the bay is $25.0\ m$. ### Part 6: #### a) Explain why $\triangle DEC$ is similar to $\triangle ABC$:
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5) $-\frac{11pi}{4}$
Coterminal angle (between \(0\) and \(2\pi\)): \(\frac{5\pi}{4}\), Quadrant: Third, Reference angle: \(\frac{\pi}{4}\)
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question if you place a 37-foot ladder against the top of a building an…
The building is approximately \(29.7\) feet tall.
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find the slope of each line 1) slope = ______ 2) slope = ______ 3) slop…
1) \(\frac{1}{4}\) 2) \(\frac{1}{8}\) 3) \(-4\) 4) Undefined 5) \(\frac{1}{8}\) (or recheck for accuracy) 6) \(2\) 7) \(2\) 8) \(-\frac{1}{2}\) (Note: Some slopes may need re - ch…
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10) \\(\frac{2pi}{3}\\)
If converting \(\frac{2\pi}{3}\) radians to degrees, the result is \(120^\circ\). If the problem was different (e.g., simplifying, finding coterminal angles, etc.), more context w…
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19. the exact volume of a cylinder is 80π in³. if the radius is 4 cm, w…
The height of the cylinder is 5 cm.
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for the above graph, a) find the slope (m). \\( m = \\) b) find the y-i…
s: a) \(m=\boxed{1}\) b) \(b=\boxed{-5}\) c) \(y=\boxed{x - 5}\)
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name tbauy lankhi, period 301 date 13/11/25 prohibition and the simpson…
Social Science - History (subfield)
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5. without using a coordinate plane, what is the distance between (2,11…
If the points are \((2,11)\) and \((12,3)\), the distance is \( 2\sqrt{41}\) (or approximately \( 12.81\)). If there is a typo and the second point is \((12,23)\), the distance is…
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triangle abc with side ab=12, angle at b=50°, side bc=24; triangle fde …
SAS (assuming the option with "SAS" is the correct one; if options are labeled, e.g., if "SAS" is option B, then "B. SAS")
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find the values of x and y. write your answers in simplest form. x = y =
# Explanation: ## Step1: Identify Triangle Type It's a 30 - 60 - 90 right triangle. In such a triangle, the sides are in the ratio \(1:\sqrt{3}:2\) (opposite 30°, 60°, 90° respect…
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find the values of x and y. write your answers in simplest form. x = y =
$x = 12\sqrt{3}$, $y = 12$
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6. what is the length from a to b? (there is a rectangular prism diagra…
The length from A to B is \( 25 \).
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find the values of x and y. write your answers in simplest form. x = y …
\(x = 3\), \(y = 6\)
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a flagpole casts a shadow that is 16 feet long. at the same time, a per…
24
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2. which statement is true? (preserves – does not change; it stays the …
C. Rotations will preserve the figure’s side lengths and will preserve the angle measurements ### Question 3
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find the values of x and y. write your answers in simplest form. (there…
\(x = 9\sqrt{3}\), \(y = 18\)
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question using the graph, determine the coordinates of the x-intercepts…
\(y=(x + 6)(x + 4)\) (or \(y=x^{2}+10x + 24\))
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using the figure below, determine if triangle fgh is similar to triangl…
D. Yes, they are similar by SSS similarity.
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ws interior and exterior angles of triangles revised.pdf name ______ da…
For problem 1 (the first triangle), \( x = 63^\circ \)
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find the value of x. 123° (5x + 98)°
\(x = 5\)
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find the value of x that makes △abc ~ △def . triangle abc: ab=6, bc=9, …
$x = 1$
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using the graph, determine the equation of the axis of symmetry. answer…
Two points: \((-4,0)\) and \((-4,1)\) (or other points with \(x = - 4\), e.g., \((-4,2)\) etc. But the most appropriate from the x - intercepts and vertex are \((-4,0)\) and \((-4…
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read questions 13-14 below carefully. a quality proof consisting of all…
\(72^\circ\)
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using the graph, determine the coordinates of the vertex of the parabol…
\((5,-1)\)
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find the measure in degrees of $\\angle 4$ if both pairs of lines are p…
\(133^\circ\)
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find ( mangle 1 ) and ( mangle 2 ). enter your answer in degrees by ent…
a) \(m\angle1 = 83^\circ\) (or \(83\) deg) b) \(m\angle2 = 97^\circ\) (or \(97\) deg)
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the movement of the progress bar may be uneven because questions can be…
Perimeter = 32 inches, Area = 44 square inches
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the movement of the progress bar may be uneven because questions can be…
\(P = 76\) feet, \(A = 330\) square feet (the second option: \(P = 76\) feet, \(A = 330\) square feet)
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can you find the lengths and areas and type the correct code? please re…
EGFB
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using the graph, determine the equation of the axis of symmetry. two po…
\(x = - 3\)
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what is the slope of the line on the graph below? -2 0 2 undefined
# Ex[SSE Completed, Client Connection Error][LLM SSE On Failure]
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5. représente la situation suivante à l’aide d’un système linéaire : le…
Length \( l = 29 \) pi, Width \( w = 88 \) pi (or depending on the exact question, if it's to set up the system, the equations are \( 2(l + w)=234 \) and \( 2(2l + w)=234 + 58 \))
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point p is the circumcenter, which segment is equal to pb da pf pc ac
C. PC
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3. determine if the given points are vertices of a trapezoid. a(1, 9), …
a. \( ABCD \) is a trapezoid because \( BC \parallel DA \) (slopes of \( BC \) and \( DA \) are both 0). b. \( ABCD \) is an isosceles trapezoid because the non - parallel sides \…
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sort the following triangles congruent triangles worksheet a (attach tr…
To sort the triangles, we use the congruence criteria: - **SSS**: Triangles with three equal sides (all three sides marked with the same number of tick marks). - **SAS**: Triangle…
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the movement of the progress bar may be uneven because questions can be…
420 cubic centimeters
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in \\( \\triangle abc \\), \\( \\angle abc \\) is a right angle, \\( ab…
B. \(\overline{A'B'}\) is 1.5 units long and lies on the same line as \(\overline{AB}\)
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in $\\triangle abc$, $\\angle abc$ is a right angle, $\\overline{ab} = …
# Ex[SSE Completed, Client Connection Error][LLM SSE On Failure]
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which is the standard form of the equation of the parabola that has a v…
\((x + 4)^2 = -36(y + 6)\) (the middle option)
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base with a side length of 18 meters. volume = \\(\\frac{1}{3}bh\\) b i…
D. \( 4,320 \, \text{m}^3 \)
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which is the standard form of the equation of a parabola with a focus o…
\(x^2 = -12y\)
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find the length of \\(\\overline{ac}\\). use that length to find the le…
10.7 cm (corresponding to the option with 10.7 cm)
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an acute triangle has two sides measuring 8 cm and 10 cm. what is the b…
\(6 < s < 12.8\) (the second option: \(6 < s < 12.8\))
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what are the vertex, focus, and directrix of the parabola with the equa…
vertex \((-4, 3)\); focus \((-4, 2)\); directrix \(y = 4\) (the first option)
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two sides of an acute triangle measure 5 inches and 8 inches. the lengt…
B. 9 inches
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dilate the line segment by a scale factor of 2 with a center of dilatio…
To dilate the line segment with scale factor 2 and center at the origin: 1. Identify the endpoints of the original segment. Let the original endpoints be \(A(0,0)\) and \(B(4,2)\)…
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which trigonometric ratios are correct for triangle abc? select three o…
The correct options are: - \( \sin(C)=\frac{\sqrt{3}}{2} \) - \( \tan(C)=\sqrt{3} \) - \( \sin(B)=\frac{1}{2} \)
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select the correct answer. given: \\(\\overline{ad} \\parallel \\overli…
B. \(\triangle DAC \cong \triangle BCA\) by ASA
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select the correct answer from each drop - down menu. △abc has side len…
The perimeter of \( \triangle XYZ \) is 135 units. The area of \( \triangle XYZ \) is 600 square units.
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in the diagram, the circle will be dilated by a scale factor of 3 about…
E. 15 units
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which statements are true about triangle qrs? select three options. the…
1. The side opposite \( \angle Q \) is \( \overline{RS} \) 3. The hypotenuse is \( \overline{QR} \) 5. The side adjacent to \( \angle Q \) is \( \overline{QS} \)
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use the diagram to complete the statement. given △jkl, sin(38°) equals …
\(\cos(52^\circ)\) (the option with \(\cos(52^\circ)\))
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a regular hexagon is rotated ( 360^circ ) about its center. how many ti…
B. 6 times
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a right triangle has one angle that measure 23°. the adjacent leg measu…
161.8 \( \text{cm}^2 \) (corresponding to the option "161.8 \( \text{cm}^2 \)")
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4. $\\triangle pig$ $p(3, 9)$, $i(9, 3)$ and $g(9, 9)$ 5. $\\triangle b…
The triangles \( \triangle PIG \) and \( \triangle BAT \) are plotted as described above. (Note: Since the question likely involves plotting the triangles, the final answer is the…
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the length of a rectangle is 2 ft shorter than 5 times its width, x. th…
A. \( 5x^2 - 2x < 100 \)
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rectangular pyramids x and y have equal volumes. pyramid x: base length…
D. 26 cm
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joey is building a frame for a sandbox. the sandbox is going to be a qu…
a rectangle, because angle C is a right angle
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which sign explains the relationship between m∠1 and m∠2 in the diagram…
\( < \) (less than sign)
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a kite is made up of two isosceles triangles, kit and ket, with the len…
34 square inches
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3. what could you prove about the following diagram, using the hinge th…
Using the Hinge Theorem, we can prove that \( IJ > KJ \) (or \( KJ < IJ \)).
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what is the area of triangle dfg? round to the nearest whole square uni…
27 square units
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quadrilateral pqrs is dilated by a scale factor of \\(\\frac{1}{2}\\) w…
D. Segment P'S' is 4 units long and lies on a different line than segment PS.
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in which triangle is the value of x equal to tan⁻¹\\(left\\frac{3.1}{5.…
The Right - most Triangle (the third triangle in the given set of triangles)
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2. what do you know about su? (there are two triangles in the image, tr…
$SU = 22$ cm (assuming congruent or equal - sided triangles, $SU$ is equal in length to $PR$ which is 22 cm)
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20. find the ( mangle a ), ( mangle b ), ( mangle c ), ( mangle d ), an…
\( m\angle A = 118^\circ \), \( m\angle B = 40^\circ \), \( m\angle C = 40^\circ \), \( m\angle D = 78^\circ \), \( m\angle E = 62^\circ \)
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triangle abc is a sketch of a triangular flower bed that has an area of…
40 feet (the option with 40 feet)
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given: overline{tu} parallel overline{xw} prove: xw = 8 which step is m…
C. Statement: \(\frac{XW}{TU}=\frac{WV}{TV}\) Reason: Corresponding sides of similar triangles are proportional.
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triangle abc is a right triangle and \\(\\cos(22.6^\\circ)=\\frac{b}{13…
The equation to solve for \( a \) is \( \tan(22.6^\circ)=\frac{a}{12} \). For \( b \): \( b = 13\times\cos(22.6^\circ)\approx12 \) (rounded to nearest whole number). For \( a \): …
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the figure shows eight congruent triangles made by dividing a square th…
C. 8 cm²
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#6.) $\\triangle stv \\cong \\triangle wqr$, the $m\\angle s = (x^2 - 8…
B. \(59^{\circ}\) ### Question 7
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1. which theorem would explain why m∠cbd > m∠adb?
The Hinge Theorem (SAS Inequality Theorem)
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given right triangle abc, what is the value of tan(a)? options: $\frac{…
\(\frac{12}{5}\) (the option with \(\frac{12}{5}\))
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2. it is given that wxyz is a parallelogram. plot the points and graph …
The parallelogram \(WXYZ\) is a **rhombus** because its diagonals (horizontal \(WY\) and vertical \(XZ\)) are perpendicular, and all side lengths are equal (\(\sqrt{65}\) for each…
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the equation \\(\\sin(25^{\\circ}) = \\frac{9}{c}\\) can be used to fin…
21.3 in (corresponding to the option "21.3 in")
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the lengths of two sides of a right triangle are 5 inches and 8 inches.…
3.2 inches (the option with 3.2 inches)
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which classification best represents a triangle with side lengths 10 in…
acute, because \(10^{2}+12^{2}>15^{2}\) (the first option)
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question 7. in the figure, line q is parallel to line r, and both lines…
\( 57^\circ \) (Option A)
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what is the area of triangle pqr? round to the nearest tenth of a squar…
111.3 square units