Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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$\\overline{tv} \\cong \\overline{su}$, $\\overline{sw} \\parallel \\ov…
### For Statement 6: # Explanation: ## Step1: Identify known congruences We know from Statement 1 that $\overline{TV} \cong \overline{SU}$ and from Statement 5 that $\overline{TV}…
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selenas class is painting a mural on the wall of her school. the mural …
10
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19. find the measure of $\\angle abc$. 20. find the measure of $\\angle…
19. $\boldsymbol{55^\circ}$ 20. $\boldsymbol{34^\circ}$ 21. $\boldsymbol{64^\circ}$ 22. $\boldsymbol{206^\circ}$ 23. $\boldsymbol{40^\circ}$ 24. $\boldsymbol{x^\circ=90^\circ}$, $…
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$\\overline{tu} \\cong \\overline{sv}$ and $\\overline{st} \\cong \\ove…
1. Reason for \(\overline{TU} \cong \overline{SV}\): Given 2. Reason for \(\overline{ST} \cong \overline{UV}\): Given 3. Reason for \(\overline{SU} \cong \overline{SU}\): Reflexiv…
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micah has a garden. he constructs a scale model of the garden using the…
A. 3 inches
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we know that a triangle with side lengths $x^2 - 1$, $2x$, and $x^2 + 1…
For \(x = 3\): \((6,8,10)\) For \(x = 5\): \((10,24,26)\) For triple \((8,15,17)\): \(x = 4\) For triple \((12,35,37)\): \(x = 6\)
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identify the transformation from b to d. a) $90^circ$ clockwise rotatio…
c) 180° Rotation
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in $\\triangle opq$, $q = 75$ cm, $m\\angle o = 113^{\\circ}$ and $m\\a…
\(91\)
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3) △stu ~ ______
# Explanation: ## Step1: Find angle at S in both triangles In $\triangle STU$, sum of angles is $180^\circ$. So $\angle S = 180 - 37 - 54 = 89^\circ$? Wait, no, wait. Wait, vertic…
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which identity is the result of using the pythagorean theorem to show t…
\((x^{2}-1)^{2}+(2x)^{2}=(x^{2}+1)^{2}\) (the third option from the top, i.e., the option \((x^{2}-1)^{2}+(2x)^{2}=(x^{2}+1)^{2}\))
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3. what is the measure of angle ( d_1^circ )? 4. what is the tangent ra…
3. $\boldsymbol{80^\circ}$ 4. $\boldsymbol{\frac{76}{185}}$ (or approximately $\boldsymbol{0.41}$)
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$\\angle vwx \\cong \\angle vux$ and $\\angle uvw \\cong \\angle uxw$. …
1. Reason: Given 2. Reason: Given 3. Reason: Sum of interior angles of a quadrilateral is \( 360^\circ \) 4. Reason: Substitution (using \( \angle VWX \cong \angle VUX \) and \( \…
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$\\overline{qs} \\cong \\overline{rt}$, $\\overline{qr} \\parallel \\ov…
### Step-by-Step Explanation for Each Missing Reason: #### Step 1: Reason for Statement 6 ($\triangle QRS \cong \triangle TSR$) We have: - $\overline{QS} \cong \overline{RT}$ (Sta…
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complete the proof that $\\angle f \\cong \\angle i$. | | statement | r…
Transitive Property of Congruence
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u is the midpoint of \\(\\overline{qs}\\) and \\(\\overline{rt}\\). com…
Alternate Interior Angles Theorem
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find the value of ( x ), ( y ), and ( z ) in the parallelogram below.
$x=-42$, $y=-13$, $z=-23$
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geometry name date feb 4th period 1st practice: central and inscribed a…
1. $m\overset{\frown}{RS} = 60^\circ$ 2. $m\overset{\frown}{RPS} = 300^\circ$ 3. $m\overset{\frown}{PQR} = 180^\circ$ 4. $m\overset{\frown}{QS} = 100^\circ$ 5. $m\overset{\frown}{…
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find the value of x, y, and z in the parallelogram below. answer attemp…
$x = -121$, $y = 15$, $z = -71$
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complete the proof that \\(\\overline{gh} \\cong \\overline{ij}\\). (im…
Definition of Congruent Segments (or: If two segments have equal length, then they are congruent)
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what is the perimeter of square cdef? perimeter = units
8 units
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complete the proof that $overline{hi} parallel overline{fg}$. | | state…
Alternate Interior Angles Theorem
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7. on the grid, draw a quadrilateral that is not a rectangle that has a…
A possible quadrilateral is a parallelogram with base 6 units and height 3 units (drawn on the grid as described). The area is 18 square units because using the formula for the ar…
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1. underline the prepositions & circle the objects. a. the house on the…
a) contemplate ### Question 3 (Edit to correct errors)
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find uv and the area of $\\triangle vwx$. 18 m $70^\\circ$ 15 m write y…
$UV = 5.1$ m $\text{Area} = 126.9$ m²
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solve the inequality. state the solution set as an interval and graph t…
The solution set as an interval is: $(-\infty, 0)$ For the graph: 1. Place an open circle at $0$ (since $x$ cannot equal $0$). 2. Draw a line with an arrow pointing to the left fr…
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find vx and the area of $\\triangle uvw$. write your answer as an integ…
$VX = 10.9$ cm $\text{Area} = 228.9$ cm$^2$
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1. what is the area of abcd? 2. what is the length of diagonal bd?
1. The area of ABCD is $24.7$ cm² 2. The length of diagonal BD is $6.5$ cm
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∠1 and ∠2 are vertical angles. ∠2 has a measure of 31°. what is the mea…
$31^\circ$
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what is the value of x in the figure? enter your answer in the box. x =
$68$
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use the relationship between the angles in the figure to answer the que…
x + 90 + 61 = 180
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no additional details were added for this assignment. which relationshi…
adjacent angles complementary angles
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which relationships describe angles 1 and 2? select each correct answer…
adjacent angles supplementary angles
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in a right triangle, a and b are the lengths of the legs and c is the l…
\( c \approx 6.2 \) feet
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4.7 mm 4.9 mm what is the length of the hypotenuse? if necessary, round…
\( 6.8 \)
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what is the length of the missing leg? if necessary, round to the neare…
\(2.9\)
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select the correct answer. which equation represents a parabola that op…
B. $f(x) = (x - 3)^2 + 3$
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what is ( mangle npq )? a. 62 b. 116 c. 118
C. 118
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parallelogram abcd is shown. what is ( mangle bac )? ( mangle bac = squ…
\(37^\circ\)
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select all the statements that are true about rectangles. a. diagonals …
A. Diagonals are congruent. B. Opposite sides are congruent. D. Opposite sides are parallel.
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identify this sign. select all correct options. square regulatory warni…
Warning
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watch the video first! find the total surface area of this triangular p…
\( 216 \)
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what is the value of v? u v+48 r 3v s t v = submit
\( 24 \)
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if \\(\\overline{ps} \\cong \\overline{rs}\\), \\(m\\angle pqs = z + 23…
\( \boxed{92} \)
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what is the value of s? write your answer as an integer or as a decimal…
$s = 21.5^\circ$
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what is the value of b? write your answer as an integer or as a decimal…
$b = 16$
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what is the value of y? write your answer as an integer or as a decimal…
$21$
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for items 7–10, use the figure shown. find the coordinates of the verti…
\( S' : (-1, 3) \) ### Item 8:
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what is the value of w? write your answer as an integer or as a decimal…
# Explicación: ## Paso 1: Aplicar el teorema del ángulo exterior El ángulo exterior de un triángulo es igual a la suma de los ángulos interiores opuestos. $25w = (w + 43) + (16w +…
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use the diagram to name a ray. possible answer: $overrightarrow{vb}$ po…
$\boldsymbol{\overrightarrow{DV}}$ (the option "Possible answer: $\overrightarrow{DV}$")
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equivalent experience_ma.912.gr.1.1_unit 6 find each measure if g is th…
$m\angle GAF = 39^\circ$ $EG \approx 4.71$
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question 17 of 25 tell how many times the figure will show rotational s…
B. 3 times
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tuesday reading log pages read today: 165 to 185 reaction: circle one i…
First, Greg joins Rowley’s family on a beach trip, feeling unsure about the arrangement from the start. Then, he gets upset when he’s not allowed to use the hotel bed he wanted, l…
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5.2 laire de figures planes rectangle chacun des côtés dun rectangle pe…
### Résultats pour les rectangles : 1. Rectangle 4x7 cm : - Périmètre : $\boldsymbol{22\ cm}$ - Aire : $\boldsymbol{28\ cm^2}$ 2. Rectangle 7x10 dam : - Périmètre : $\boldsymbol{3…
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les unités de mesure de surface exemples : a) $42\\,\\mathrm{m}^2 = 42 …
a) $8300$ cm² b) $0.00011$ dam² c) $0.47$ cm² d) $0.00883$ dm² e) $0.9602$ dam²
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3 match each equation to a story. (two of the stories match the same eq…
- a. $\boldsymbol{D.\ 5x + 3 = 17}$ - b. $\boldsymbol{A.\ 3(x + 5) = 17}$ - c. $\boldsymbol{C.\ 5(x + 3) = 17}$ - d. $\boldsymbol{C.\ 5(x + 3) = 17}$ - e. $\boldsymbol{B.\ 3x + 5 …
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find the length of cn in the triangle below where \\(\\overline{mn}\\pa…
B. 24 --- ### Problem 5
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if a line is parallel to one side of a triangle and intersects the othe…
1. A. proportionally 2. D. 8 3. A. 5
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the diagram below is a right rectangular prism. all the angles shown me…
\( OR \) and \( PQ \) (or other valid pairs like \( OK \) and \( PL \), \( KN \) and \( PM \), etc.)
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what is the slope of the line passing through (-2, 3) and (4, -5)? -9 $…
1. $-\frac{4}{3}$ (corresponding to the second option for the first question) 2. $\frac{5}{3}$ (corresponding to the first option for Question 16)
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1. complete the following factor tree. 30 / \\ 6 □ / \\ 2 □ 2. 3(4 + 6)…
\(20\) ### Problem 1 (Factor Tree):
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17. choose the correct answer. convert ( 75^circ ) to radians. ( \bigci…
$\frac{5\pi}{12}$ (the third option)
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14. choose the correct answer. cynthia is flying a kite in her back pas…
B. 33.5 m
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10. if $\\triangle abc \\sim \\triangle edc$, find $ac$.
\(70\)
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9. if δxyz ~ δrst, find rs 10. if δabc ~ δedc, find ac 11. if δjkl ~ δm…
### Problem 11: If $\triangle JKL \sim \triangle MKN$, find the value of $x$. # Explanation: ## Step 1: Set up proportion from similarity Since $\triangle JKL \sim \triangle MKN$,…
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kimberly saw a 3 - dimensional figure. it had a round base. which figur…
The fourth figure (the purple cone)
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which of the following statements is false? all squares are rectangles …
D. All Rectangles are squares ### Second Question (Which of the following characteristics do the square and rhombus NOT have in common?)
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solve for x. (the image shows a parallelogram abcd with angle at b bein…
55
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solve each inequality and graph its solution. 1) $2x + 4 \\geq 24$ 2) $…
\( x \geq 10 \) (Graph: A closed circle at 10 and an arrow pointing to the right on the number line.) ### Problem 2: \( \frac{m}{3} - 3 \leq -6 \)
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solve for y. (there is a pentagon with angles: 90°, 135°, y°, 88°, 112°…
115
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there is a diagram with three parallel lines l, m, n (l is the top, m i…
\( x = 20 \)
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there is a diagram with two parallel lines m and n, and a transversal. …
\( x = 5 \)
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given $m \\parallel n$, find the value of $x$ and $y$.
\(x = 12\), \(y = 120\)
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given $m \\parallel n$, find the value of $x$.
\( x = 19 \)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 23 \), \( y = 137 \)
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given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…
\( x = 5 \)
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given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…
\( x = 17 \)
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given $m \\parallel n$, find the value of $x$.
\( x = 57 \)
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4. consider a circle centered at the origin in the xy plane. an angle o…
8.45 units
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the radius of a circle is 20.1 millimeters. what is the circles area? r…
\( 1268.60 \)
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the diameter of a circle is 69.6 miles. what is the circles area? round…
\( 3804.58 \)
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the radius of a circle is 27 kilometers. what is the circles area? roun…
\( 2290.22 \)
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the radius of a circle is 8 miles. what is the circles area? round your…
201.06
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the diameter of a circle is 18 meters. what is the circles area? round …
\( 254.47 \)
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the radius of a circle is 4 miles. what is the circles area? round your…
\( 50.27 \)
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22. a solid cylinder is cut vertically into two equal parts. how does t…
22. c. It is one-half 23. b. The cone's volume is one-third that of the cylinder 24. c. Their volumes are equal 25. c. $45\pi\ \text{cm}^3$ 26. a. $25\pi$ square cm 27. d. To dete…
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15) which type of pyramid has a rectangular base? a. triangular pyramid…
15. a. Rectangular pyramid 16. d. $16\pi \ \text{cm}^2$ 17. c. The top point where all triangular faces meet 18. d. $240\pi \ \text{cm}^3$ 19. b. $72\text{cm}^3$ 20. b. 5 measures…
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1 what is one first step in calculating the volume of a cone? a. divide…
1. c. Calculate the area of the base 2. b. $V = \frac{1}{3}\pi r^2 h$ 3. c. $3\sqrt{6}$ cm 4. a. $\pi$ 5. c. 20 cm 6. c. 5.3 cm 7. a. 6 cm
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find the volume of the following solid. volume = units³
# Explanation: ## Step1: Identify the solid components The solid is a triangular prism (lower part) plus a triangular pyramid (upper part), sharing the same triangular base. ## St…
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find the perimeter and area of the following: image of a parallelogram …
Perimeter = $40 + 18\sqrt{2} \approx 65.46$ units Area = $180$ units²
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4 find the value of x. round to the nearest tenth. 5 for an acute angle…
\( x\approx21.6 \) ### Question 5
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13. use tools dinah is a landscape artist. she needs to make sure the d…
\( m\angle A = 90^\circ \), \( m\angle B = 90^\circ \), \( m\angle C = 90^\circ \), \( m\angle D = 90^\circ \). The deck edges are square because all corner angles measure \( 90^\…
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directions: find the perimeter and area of each figure below. 22. 23. 2…
22. Perimeter: $10a^2b^4 + 6ab^2$, Area: $15a^3b^6$ 23. Perimeter: $4m^2 + 10mn^2$, Area: $6m^3n^2$ 24. Perimeter: $24mn$, Area: $16m^3n$ 25. Area: $27a^3b^2$ 26. Area: $9\pi x^4y…
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23. 24. (assume the triangle below is equilateral.) directions: find th…
23. $6m^3n^2$ 24. $16m^3n$ 25. $27a^3b^2$ 26. $9\pi x^6y^2$
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given ( m parallel n ), find the value of x.
\( x = 35 \)
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directions: find the perimeter and area of each figure below. 22. recta…
Perimeter: $10a^2b^4 + 6ab^2$ Area: $15a^3b^6$
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given ( l parallel m parallel n ), find the value of ( x ).
\( x = 17 \)
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given ( l parallel m parallel n ), find the value of ( x ).
\( x = 18 \)
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 126\)
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given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…
\( x = 16 \)
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given ( m parallel n ), find the value of ( x ).
\( x = 39 \)