幾何
三角形、圓、解析幾何與證明題。
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15. if the perimeter of this triangle is 122 cm, form an equation in te…
$x = 11$
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n-gen math® 8 homework fluency 1. on the diagram below, points a, b, c,…
Angle # Final Answers (for each sub - question): 1(c) Set #1: A, B, E; Set #2: C, D, E 2(b) Angle
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exercise in each of the following sentences, underline the adverb phras…
1. Underline: *across the street*; Circle: *walked* 2. Underline: *Throughout next month*; Circle: *perform* 3. Underline: *Before Sunday*; Circle: *clean* 4. Underline: *for twen…
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give the coordinates of the vertices of quadrilateral ghij under a dila…
G'=(33,15), H'=(-9,15), I'=(-21,-12), J'=(12,-21)
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find ( mangle cad ) and ( mangle bad ). there is a diagram with point a…
$m\angle CAD = 18^\circ$, $m\angle BAD = 72^\circ$
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exercise in each of the following sentences, underline the adjective ph…
1. My favorite <u>of science fiction</u> is Ray Bradbury. (circled: writer) 2. The pie needs four <u>of fruit</u>. (circled: cups) 3. <u>from Mr. Levy's class</u> won first prize.…
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3. the exterior angles of this triangle are all equal. what is the meas…
120°
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2. angle r° = 2w°. what is the measure of angle r°? options: 240°, 120°…
240° (Option: 240°)
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1. in this polygon, which angle is an exterior angle? options: a. ( a^c…
a. $a^\circ$
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the graph shows pentagons vwxyz and vwxyz. which of the following trans…
reflection across the x-axis
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the graph shows pentagons ijklm and ijklm. which of the following trans…
reflection across the x - axis
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the graph shows triangles uvw and uvw. which of the following transform…
translation right 2 units and up 12 units
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winter time personification 1. what is personification? a. when the aut…
b. when the author gives human qualities to a non - human subject ### Question 2 #### Part a
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ap geometry – constructed response question total score: 10 points | ti…
The completed geometric construction as per the given instructions (with the house, roof, window, door, heart, puppy, and Greek letter labels in their respective positions).
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6. ∠uwx is a straight angle. find m∠uwv and m∠xwv. there is a diagram w…
$m\angle UWV = 100^\circ$, $m\angle XWV = 80^\circ$
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problem solving the sides of \\(\\square mnpq\\) are represented by the…
52
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which point has coordinates (left(4, -4\frac{1}{2} ight))? graph of coo…
L
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what are the coordinates of point b? write your answer as an integer or…
$(3.5, 0.5)$
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what is the length of \\(\\overline{ab}\\)? round to the nearest tenth.…
38.6 m
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the equation \\(\\sin(40^{\\circ}) = \\frac{b}{20}\\) can be used to de…
12.9 cm
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a right triangle has one side that measures 4 in. the angle opposite th…
4.1 in.
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resolver para incógnita. redondee a la décima más cercana, si es necesa…
\( x \approx 1.1 \)
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a triangle has angles that measure $30^\\circ$, $60^\\circ$, and $90^\\…
23.7 in.
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ap geometry – constructed response question total score: 10 points | ti…
To solve this geometric construction problem, follow the step - by - step instructions above to draw the house, roof, window, door, heart, puppy, and mark the Greek letters at the…
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find the length of \\(\\overline{ac}\\). use that length to find the le…
10.7 cm (Option C)
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resolver para incógnita. redondee a la décima más cercana, si es necesa…
\( \boxed{9.9} \)
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c a b 60° b 12 units a cos(60°) = 12/a cos(60°) = 12/b cos(60°) = b/a c…
$\boldsymbol{\cos(60^\circ) = \frac{a}{12}}$ (the fourth option)
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ap geometry – constructed response question total score: 10 points | ti…
Since this is a geometric construction problem, we can use the Step - by - Step Format to outline the construction process: # Explanation: ## Step 1: Draw the rectangular house bo…
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→ce and →fh are parallel lines. which angles are vertical angles? ∠hgi …
$\boldsymbol{\angle HGI}$ and $\boldsymbol{\angle FGD}$
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which point has coordinates (4.5, -2.5)?
N
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a right triangle has a $30^\\circ$ angle. the leg adjacent to the $30^\…
14.4 in.
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points a(5, 2) b(0, 1) c(-5, -2) d(-2, 6) e(1, -8) oui non y > 2x - 5 4…
- A(5, 2): Non - B(0, 1): Oui - C(-5, -2): Oui - D(-2, 6): Oui - E(1, -8): Non (Adjust based on which inequality is intended; the problem shows three inequalities, so clarify if n…
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$\\overleftrightarrow{eg}$ and $\\overleftrightarrow{hj}$ are parallel …
$\angle HIK$ and $\angle JIK$
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which equation can be used to solve for b? triangle with right angle at…
$b=(8)\tan(30^\circ)$
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graph the points (-5, 10), (5, -5), and (-7, 1) on the coordinate plane…
The points $(-5, 10)$, $(5, -5)$, and $(-7, 1)$ are plotted on the coordinate plane at their respective $(x,y)$ positions as described.
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ap geometry – constructed response question total score: 10 points | ti…
The construction is carried out by following the above - mentioned steps on the 1 cm grid paper, using the appropriate colored pencils/markers and a ruler for precision, and marki…
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Question was provided via image upload.
16.0
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ap geometry – constructed response question total score: 10 points | ti…
Since this is a geometric construction problem, we'll break down the steps to perform the construction: # Explanation: ## Step 1: Draw the Rectangular House Body Using the grid pa…
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complète les systèmes dinéquations si lorigine appartient à la région-s…
To solve the system of linear inequalities, we first consider the origin \((0,0)\) and check which inequality it satisfies. ### Step 1: Check the first inequality \(3x - 2y \squar…
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graph the points (5, 9) and (6, 2) on the coordinate plane. click to gr…
The points $(5, 9)$ (5 units right on x-axis, 9 units up on y-axis) and $(6, 2)$ (6 units right on x-axis, 2 units up on y-axis) are plotted on the coordinate plane.
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example: surface area = base area + \\(\\frac{1}{2}\\) × perimeter × sl…
1. $320$ ft² 2. $96$ yd² 3. $473$ in² 4. $75$ in² 5. $180$ ft² 6. $333$ yd²
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5x ? 2y - 24, 3x + 4y ? 8 (with a coordinate grid chart showing shaded …
For \( 3x + 4y \, \square \, 8 \): \( 3x + 4y < 8 \) For \( 5x - 2y \, \square \, 24 \): \( 5x - 2y\geq24 \) (or \( 5x - 2y > 24 \) if the line were dashed, but it is solid here, …
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graph the point (3, -9) on the coordinate plane.
The point $(3, -9)$ is plotted 3 units to the right of the y-axis and 9 units below the x-axis on the coordinate plane.
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ap geometry – constructed response question total score: 10 points | ti…
The geometric construction is completed following the above - mentioned steps, with all the required shapes, colors, and labels as specified.
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graph the point (2.5, -2) on the coordinate plane.
The point is plotted halfway between $x=2$ and $x=4$, directly at $y=-2$ on the coordinate plane.
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what happened after a burglar broke into a tuba factory? each ordered p…
To solve this puzzle, we need to match each ordered pair to the corresponding point on the coordinate plane and note the letter at that point. Then, we arrange the letters in the …
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ap geometry – constructed response question total score: 10 points | ti…
# Step-by-Step Construction Guide: ## Step 1: Prepare Grid Paper Use 1 cm grid paper. Each square on the grid represents 1 cm. ## Step 2: Draw the House Body - **Rectangle Dimensi…
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graph the point (-1.5, 1) on the coordinate plane.
The point is plotted halfway between $x=-1$ and $x=-2$ on the horizontal axis, and at $y=1$ on the vertical axis, in the second quadrant of the coordinate plane.
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ap geometry – constructed response question total score: 10 points | ti…
The geometric construction is completed following the steps: house (8×6 rectangle, brown), roof (isosceles triangle, 8 cm base, 3 cm height, light gray), window (2×2 square, blue)…
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practice polygons and angles find the sum of the interior angle measure…
1. $540^\circ$ 2. $1440^\circ$ 3. $2520^\circ$ 4. $2880^\circ$ 5. $5040^\circ$ 6. $5760^\circ$ 7. $108^\circ$ 8. $135^\circ$ 9. $165^\circ$ 10. $30^\circ, 150^\circ, 30^\circ, 150…
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complète le système dinéquations qui correspond au graphique ci-dessous…
To solve this, we analyze the lines and regions: ### For the blue region: 1. **Identify the line equation**: The blue line has a slope. Let's find its equation. From the graph, it…
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find the surface area of each cube. 1) surface area = 2) 9 yd surface a…
1) $1014$ square feet 2) $486$ square yards 3) $864$ square meters 4) $726$ square yards 5) $1350$ square meters 6) $24$ square feet 7) $864$ square feet 8) $54$ square inches
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graph the points (9, 10), (-4, -5), and (6, 3) on the coordinate plane.…
The points are graphed at: 1. The intersection of $x=9$ and $y=10$ 2. The intersection of $x=-4$ and $y=-5$ 3. The intersection of $x=6$ and $y=3$
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geometry colored drawing (geometric) rule: 1cm grid paper, colored draw…
The subfield that best applies is Mathematics - Geometry.
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the graphs of several linear equations are given below. determine if th…
\((3, 2)\) ### 2. B and D
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$\\triangle efg \\sim \\triangle rqs$. what is $m\\angle s$? $m\\angle …
35
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graph the points (-1.5, 3), (-4.5, 0.5), and (2, -3) on the coordinate …
The points $(-1.5, 3)$, $(-4.5, 0.5)$, and $(2, -3)$ are plotted on the coordinate plane as described: - $(-1.5, 3)$: halfway between $x=-1$ and $x=-2$, at $y=3$ - $(-4.5, 0.5)$: …
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graph the points (-5, -1.5) and (-1.5, 0.5) on the coordinate plane. cl…
- The point $(-5, -1.5)$ is plotted 5 units left of the origin, 1.5 units below the x-axis. - The point $(-1.5, 0.5)$ is plotted 1.5 units left of the origin, 0.5 units above the …
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graph the points (9, -6) and (-1, -9) on the coordinate plane. click to…
The point $(9, -6)$ is plotted 9 units right and 6 units down from the origin; the point $(-1, -9)$ is plotted 1 unit left and 9 units down from the origin.
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geometry drawing task requirements: draw on 1cm grid paper, define the …
To write the given geometry drawing task in LaTeX, we can use the `article` document class and the `tikz` package for drawing (though the task is more about the description, we ca…
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graph the points (-0.5, 5), (2, -2), and (0.5, -3.5) on the coordinate …
The points are graphed as follows: 1. Point $(-0.5, 5)$: halfway between $x=-1$ and $x=0$, at $y=5$ 2. Point $(2, -2)$: at $x=2$, $y=-2$ 3. Point $(0.5, -3.5)$: halfway between $x…
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graph the point (-1.5, 0.5) on the coordinate plane.
The point $(-1.5, 0.5)$ is plotted halfway between $x=-2$ and $x=0$ on the x-axis, and halfway between $y=0$ and $y=1$ on the y-axis, at their intersection on the coordinate plane.
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writing equations using trigonometric ratios which equations could be u…
$\sin(45^{\circ}) = \frac{BC}{9}$ $(AC)\sin(45^{\circ}) = BC$
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what is the area of this figure? 2 mi 4 mi 4 mi 8 mi 18 mi 3 mi 6 mi 9 …
110
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graph the point (-1, 1.5) on the coordinate plane.
The point $(-1, 1.5)$ is plotted 1 unit left of the y-axis and halfway between the horizontal grid lines for $y=1$ and $y=2$ on the coordinate plane.
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geometry drawing task word to form: sovi (using points s, o, v, i) requ…
The drawing is completed following the above - mentioned steps, with all key measurements labeled, the roof shaded, the heart and dog drawn, and points S, O, V, I labeled to form …
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graph the point (-0.5, -4) on the coordinate plane.
The point $(-0.5, -4)$ is plotted halfway between $x=0$ and $x=-1$, aligned vertically with $y=-4$ on the coordinate plane.
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graph the point (-1.5, 4.5) on the coordinate plane.
The point $(-1.5, 4.5)$ is plotted 1.5 units to the left of the y-axis and 4.5 units above the x-axis on the coordinate plane.
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what is the approximate length of the third side of the triangle below?…
35.5 mm (corresponding to the option: 35.5 mm)
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what is the approximate measure of angle t in the triangle below? t 2.7…
\( 101^{\circ} \)
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graph the point (-3, -9) on the coordinate plane.
The point $(-3, -9)$ is plotted 3 units left of the y-axis and 9 units below the x-axis on the coordinate plane.
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38. right triangle with one angle 60°, side labeled x + 41 40. triangle…
### Problem 38: # Explanation: ## Step1: Identify triangle type (right triangle) This is a right - angled triangle (one angle is \(90^{\circ}\)) and another angle is \(60^{\circ}\…
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a roofer sketches a diagram of a house on which he is working. diagram …
If we assume the options had 37.4, but since the given option is 28.5, maybe there's a mistake. But based on calculation, the width is approximately 37.4 feet. However, if we rech…
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26. reasoning can sticks of lengths 3 inches, 4 inches, and 6 inches be…
No, sticks of lengths 3 inches, 4 inches, and 6 inches cannot be sides of a right triangle because \(3^{2}+4^{2}=25\) and \(6^{2} = 36\), and \(25 eq36\) (the Pythagorean theorem…
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read the following text from a short story. this excerpt is about ichab…
Crane was not a good-looking man.
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angle whose vertex is s. based on the diagram below, which equation of …
\(10^{2}=9^{2}+11^{2}-2(9)(11)\cos S\) (corresponding to the option: \(10^2 = 9^2 + 11^2 - 2(9)(11)\cos S\))
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26. reasoning can sticks of lengths 3 inches, 4 inches, and 6 inches be…
No, because \(3^2 + 4^2 = 9 + 16 = 25\) and \(6^2 = 36\), and \(25 eq36\), so they do not satisfy the Pythagorean theorem for a right triangle. ### Question 27 (Note: This requir…
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in triangle mno, mn = 20 units, no = 15 units, and mo = 18 units. what …
28° (corresponding to the option with 28°)
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which equation can be used to solve for x in the triangle below? triang…
\(x^{2}=4.7^{2}+4.0^{2}-2(4.7)(4.0)\cos41^{\circ}\) (the third option)
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not drawn to scale $4.1^2 = 4.5^2 + 2.7^2 - 2(4.5)(2.7)cos b$ $4.1 = 4.…
B. Bethany took the square root of each squared term before isolating \( \cos B \) and solving for \( B \) (Note: Wait, correction—actually the correct option is the third one: "B…
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find wx. write your answer in simplified, rationalized form. do not rou…
$18\sqrt{11}$
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24. challenge the length of the hypotenuse of an isosceles right triang…
The length of each leg is approximately 22.6 meters.
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find de. (there is a right triangle def with right angle at d, angle at…
$50\sqrt{2}$
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annas triangle 95° 40° 45° carleys triangle yunas triangle 4.1 cm 4.4 c…
Saki’s triangle
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what is the approximate length of the missing side in the triangle belo…
21.3 mi.
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what is the center of the circle $x^{2}+y^{2}-9 = 0$? simplify any frac…
$(0, 0)$
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what is the radius of the circle $x^{2}+y^{2}-81 = 0$? simplify any fra…
9
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7. higher order thinking george has a 1 sheet of paper. he cuts it into…
Original dimensions: 15 inches by 6 inches, Total area: 90 square inches
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what is the radius of the circle $x^{2}+y^{2}-36 = 0$? simplify any fra…
6
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flagpole 15 ft not drawn to scale shadow 10 feet by determining the len…
To solve this, we use the Law of Cosines. Let's analyze the triangle: ### Step 1: Identify the sides and angle - One side is 15 ft (flagpole), another is 10 ft (shadow), and the i…
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16. $a = 5$ cm, $c = 13$ cm 17. $b$ 19. $a = 8$ ft, $b = 6.2$ ft 20. $a…
\(b = 12\space cm\) ### Problem 19: \(a = 8\space ft\), \(b = 6.2\space ft\) (finding \(c\))
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flagpole 15 ft 80° x° u v shadow 10 feet not drawn to scale by determin…
by determining the length of \(TV\) using \(TV^{2}=15^{2}+10^{2}-2(15)(10)\cos80^{\circ}\), and then determining the value of \(x\) using \(15^{2}=TV^{2}+10^{2}-2(TV)(10)\cos x\)
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slope and similar triangles 1. which of the following is a true stateme…
1. The slopes of the two triangles are the same. 2. No. The correct slope is $\frac{70-40}{6-4}=15$, not $\frac{1}{10}$. 3. No 4. Yes, because both triangles have a slope of 6. 5.…
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11 quadrilateral ebcf and \\(\\overline{ad}\\) are drawn below, such th…
1) $79^\circ$
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a 15-foot flagpole leans slightly, such that it makes an 80° angle with…
The angle of elevation \( x \) can be determined using the **Law of Sines** in triangle \( \triangle UVT \). The Law of Sines states \( \frac{UT}{\sin x}=\frac{UV}{\sin(180^\circ …
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#5-10: identify which line from the graph the following right triangles…
5. LINE C 6. LINE A 7. LINE C 8. LINE B 9. LINE B 10. LINE A
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15. a = 10 ft, b = 24 ft
If we are finding the hypotenuse of a right - triangle with legs \(a = 10\space ft\) and \(b = 24\space ft\), the length of the hypotenuse \(c\) is \(26\space ft\).
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click in the box with the blue arrow pointing to 1 yard on this line: 0…
1. For 1 yard: The box just left of the 1m mark (top line, upper blue arrow) 2. For 1 meter: The box between 3ft and 4ft (middle line, third blue arrow) 3. For 50 centimeters: The…
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slope and similar triangles 1. which of the following is a true stateme…
1. The slopes of the two triangles are the same. 2. No. Catherine is incorrect. The correct slope is 10, not $\frac{1}{10}$ (she swapped rise and run). 3. No, the triangles cannot…
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brian wants to fence in his triangular plot of farm land that measures …
\( 38 \)