Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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what are the coordinates of point l?
$(6, 2)$
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explore the properties of angles formed by two intersecting chords. 1.t…
210
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the measure of \\(\\overarc{adb}\\) is \\(162^\\circ\\). what is the me…
# Explanation: ## Step1: Recall the tangent-chord angle theorem The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc. Also, a straigh…
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the figure shows a transversal that intersects two parallel lines. none…
∠2, ∠6, ∠7
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try again your answer is incorrect. a rectangular field is 60 yards wid…
width = 40 yards, length = 120 yards *(Note: Any pair where $l+w=160$ and $l eq w$, with the product $l\times w < 6000$ is valid; this is one example.)*
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classwork mr. diaz math concepts hw 39 solve for x: (1) $5x - 4 = 4.6$ …
\( x = 1.72 \) ### Question 2: Solve \( \frac{2}{3}x - 25 = 7 \)
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what is required to correctly identify a location on the coordinate pla…
A. An ordered pair
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name the ordered pair and quadrant of point e. options: (-2, 2) quadran…
D. (2, 2) Quadrant I
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angles challenge 2 name lines a and b are parallel. lines c and d are p…
To solve for the missing angles, we use properties of parallel lines (corresponding angles, alternate interior angles, supplementary angles) and vertical angles. Let's take angle …
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angles challenge 2 name lines a and b are parallel. lines c and d are p…
The missing angles are calculated using angle properties (supplementary, corresponding, vertical angles) as follows (examples): - Linear pair with \(142^\circ\): \(38^\circ\) - Co…
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what is the value of z? 52° 104° 116° 208° (with a circle diagram label…
\(104^\circ\) (Option: 104°)
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given: ab = bc prove: b is the midpoint of \\(\\overline{ac}\\). image …
flowchart proof
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ms. young made a scale drawing of the community garden in her neighborh…
1 in. to 4 ft
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which angles form a linear pair? \\(\\angle prl\\) and \\(\\angle lrm\\…
\(\angle ORP\) and \(\angle MRN\) (the option with \(\angle ORP\) and \(\angle MRN\))
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complete the table to show the coordinates of points j, k, l, and m. ta…
| | (x, y) | |---|--------| | J | (1, 4) | | K | (3, 4) | | L | (3, 2) | | M | (5, 2) |
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angle rsu is complementary to angle ust. angle qsr is congruent to angl…
They are complementary
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ms. young made a scale drawing of the community garden in her neighborh…
1 in. : 4 ft
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monday is the following a rotation, reflection or translation? image of…
Monday: Reflection Tuesday: Translation
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marcel is designing a circular necklace that will consist of 4 sections…
# Explanation: ## Step1: Find the measure of the arc opposite to 112° The total degrees in a circle is 360°. Let the arc opposite to 112° be \( x \). We know that the sum of arcs …
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a picture that is 21 in. long and 10 in. wide is going to be reduced to…
2.86
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from a point, a, a line segment includes the top of the head, e, of a p…
37.5 feet
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plot 3 and 3\\frac{1}{2} on the number line. -5 -4 -3 -2 -1 0 1 2 3 4 5
- Mark a point directly above the tick labeled "3" on the number line. - Mark a point halfway between the ticks labeled "3" and "4" on the number line.
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for each ordered pair, determine whether it is a solution to x = -7. | …
- For \((-7, 2)\): Yes - For \((5, 3)\): No - For \((-7, -4)\): Yes - For \((0, -7)\): No Filling in the table: | \((x, y)\) | Yes | No | |--------------|-----|----| | \((-7, 2)\)…
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5. are the two triangles similar? if so, what is the scale factor? tria…
# Explanation: ## Step1: Identify corresponding sides First, we need to match the sides of the two triangles. Let's list the side lengths: - Triangle \( ABC \): \( AB = 10 \), \( …
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which figure best shows the construction of point r, where \\( \\overli…
(Assuming the second figure from the left, but since the exact labels are a bit unclear, the figure with arc markings to create a perpendicular to the diameter at \( P \) or to fo…
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explore the properties of angles formed by two intersecting chords. the…
substitution
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1 which set of instructions should result in a square inscribed in a ci…
The third option (Start with a circle with center C. Draw a diameter. Construct a perpendicular to the diameter through C that intersects the circle. Connect adjacent intersection…
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from a point, a, a line segment includes the top of the head, e, of a p…
37.5 feet
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page 184: word problems : angle of elevation in this diagram, ( x^circ …
32 feet ### Second Problem (Building Height)
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explore the properties of angles formed by two intersecting chords. mak…
2
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explore the properties of angles formed by two intersecting chords. $m\…
yes
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explore the properties of angles formed by two intersecting chords. 1. …
210
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explore the properties of angles formed by two intersecting chords. 1. …
\( 105 \)
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a scale drawing of a rectangular park had a scale of 1 cm = 120 m. 9.3 …
441936 $\text{m}^2$
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which segment is both a chord and a diameter? segment ao ae bc bd
D. BD (Wait, no, the options are labeled as \( AO, AE, BC, BD \), so the correct option is \( BD \), so the answer is BD (the segment BD). Wait, but in the options, it's "BD" as t…
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the rectangular floor of a classroom is 22 feet in length and 24 feet i…
46 inches
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a scale drawing of a rectangular park had a scale of 1 cm = 90 m. recta…
202014 m²
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corey is planning to drive from city x to city y. the scale drawing bel…
300 miles
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the rectangular floor of a classroom is 28 feet in length and 38 feet i…
266 square inches
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the era of the gupta empire was generally a peaceful time in south asia…
1. Merchants began transporting goods using routes that extended from China to Europe: Trade 2. The government paid people to write poems, paint, sculpt, and construct beautiful b…
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what are the coordinates of the center of dilation for the dilation sho…
$(-3, 4)$
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line of reflection (do not use spaces!):
x = 0
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write an equation for the line of reflection in each item below. (do no…
x=-1
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what is the value of x? $x = \\square$ (there is a diagram with two pai…
105
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the figure shows a transversal that intersects two parallel lines. none…
1. $\angle 8$ 2. $\angle 4, \angle 6, \angle 8$
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the figure shows a transversal that intersects two parallel lines. none…
$\angle 8$
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in which figure do $\\angle 1$ and $\\angle 2$ represent a pair of alte…
The top-right figure (second figure in the top row) where ∠1 and ∠2 are on opposite sides of the transversal, outside the pair of parallel lines.
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14. domain: range:
Domain: \( (-\infty,\infty) \) (or all real numbers) Range: \( \{-1,1\} \) (assuming the two horizontal lines are at \( y = 1 \) and \( y=-1 \); if it's a single horizontal line a…
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in which figure is $\\angle 1$ congruent to $\\angle 2$? (the interior …
The top-right figure (with two horizontal parallel lines and a transversal, where ∠1 and ∠2 are vertical angles) is the one where ∠1 is congruent to ∠2.
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in which figure is $\\angle 1$ congruent to $\\angle 2$? four figures w…
The top-right figure (with two horizontal parallel lines cut by a slanted transversal, where ∠1 and ∠2 are corresponding angles) has ∠1 congruent to ∠2.
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what is ( mangle 1 )?( mangle 1 = square^circ )when a transversal inter…
$98$
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12. domain: range:
Domain: \(-3\leq x\leq3\) (or in interval notation \([-3,3]\)) Range: \(-3\leq y\leq1\) (or in interval notation \([-3,1]\))
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what is the value of x? x = there is a diagram showing two parallel lin…
$110$
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25. sat/act in quadrilateral abcd, ∠a ≅ ∠c. which additional statement …
D. $\angle B \cong \angle D$
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what is the value of x? x = \\square (there is a diagram with intersect…
$85$
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find the volume of the object by counting the cubic units. assume that …
56
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what is the value of x? x = (there is a diagram of intersecting lines w…
$85$
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in the figure below, a transversal intersects two parallel lines. what …
$113$
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11. look at the map, and answer the following question. this map of new…
330 x 283 miles
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11. there is a diagram with intersecting lines. one angle is 49°, anoth…
$x = 5.75$, $y \approx 10.43$ (or $x = \frac{23}{4}$, $y = \frac{459}{44}$)
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9. look at the map, and answer the following question. serge is making …
11.4 x 8.6 inches (the option corresponding to this, which is one of the choices, likely the third option: 11.4 x 8.6 inches)
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7. jeffrey is looking at a map of his town to help him get from his sch…
2.25 miles
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5. if 1 inch is equal to 150 miles, what is the scale factor? options: …
$\frac{1}{150}$ (the second option, i.e., the option with $\frac{1}{150}$)
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in which figure is ∠1 congruent to ∠2? (four figures with lines and ang…
The top-left figure (where ∠1 and ∠2 are vertical angles) is the one where ∠1 is congruent to ∠2.
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17. in each figure, for what values of x and y is the figure a parallel…
a. $x = -\frac{1}{2}$, $y = 5$ b. $x = 17$, $y = 26$
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16. is each quadrilateral a parallelogram? explain. see examples 1 and …
a. Yes, this quadrilateral is a parallelogram. Its opposite sides are congruent, which meets the criteria for a parallelogram. b. No, this quadrilateral is not a parallelogram. It…
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11. error analysis ahmed uses the following explanation to prove that a…
Ahmed's error is that he applied the theorem to different pairs of opposite sides: the congruent sides and parallel sides are not the same pair. The theorem requires that a single…
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imagine that you are the principal of a school and you just found out t…
Different versions occur due to: 1) Unique perspectives (varying viewpoints/angles), 2) Selective attention/memory (focusing on different details), 3) Subjective interpretation of…
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practice & problem solving understand 10. use appropriate tools if you …
To determine if the quadrilateral is a parallelogram, verify one of its defining properties: 1. Check if **both pairs of opposite sides are equal in length** (use a ruler to measu…
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use the diagram for exercises 8 and 9. 8. if \\(\\overline{ab} \\parall…
8. Yes, $ABCD$ is a parallelogram. One pair of sides ($\overline{AB}$ and $\overline{DC}$) are both parallel and congruent, which satisfies a sufficient condition for a quadrilate…
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what must each length be in order for quadrilateral jklm to be a parall…
6. $JK = 10$ 7. $JL = 14$
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3. you are helping to create a map of a town. a. use the coordinate pla…
Plotted points (on the coordinate grid): - Town Hall: $(0,0)$ - Fire Station: $(5,0)$ - Police Station: $(5,6)$ - School: $(-3,6)$ - Ice Cream Shop: $(-5,-2)$ - Museum: $(2,3)$ (e…
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do you know how? what must each angle measure be in order for quadrilat…
4. $m\angle D = 65^\circ$ 5. $m\angle E = 115^\circ$
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name use the arrays to help you fill in the blanks. 1. 2 × 8 2 groups o…
1. 2 groups of $\boldsymbol{2 \times 4}$; $2 \times (\boldsymbol{2 \times 4})$ 2. 4 groups of $\boldsymbol{2 \times 3}$; $4 \times (\boldsymbol{2 \times 3})$ 3. 4 groups of $\bold…
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2. draw a rectangle in the coordinate plane that satisfies each of the …
One valid set of vertices is $(-5, 3)$, $(-1, 3)$, $(-1, -3)$, $(-5, -3)$ (other valid sets exist, e.g., using positive x-values like $(2,4)$, $(8,4)$, $(8,-4)$, $(2,-4)$ also mee…
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the point of concurrency of the perpendicular bisectors of a triangle i…
circumcenter ### Second Blank:
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problem solving with the coordinate plane the figure factory 1. draw a …
One valid set of vertices is: - Quadrant 1: $(6, 5)$ - Quadrant 2: $(-3, 5)$ - Quadrant 3: $(-3, -5)$ - Quadrant 4: $(6, -5)$ (When plotted, these form a rectangle meeting all cri…
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determine if the properties define a ray or a line segment. cannot be m…
To solve this, we recall the definitions of a ray and a line segment: ### Ray: - A ray **cannot be measured** (it extends infinitely in one direction). - A ray **continues forever…
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find x, jk, and jm.
\( x = 12 \), \( JK = 17 \), \( JM = 17 \)
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graph the points (-8, 3) and (-6, 5) on the coordinate plane. click to …
The point $(-8, 3)$ is plotted at the intersection of the vertical line $x=-8$ and horizontal line $y=3$. The point $(-6, 8)$ is plotted at the intersection of the vertical line $…
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the two lines are parallel and the system has no solution. the two line…
The two lines are parallel and the system has no solution.
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triangle stu, shown in the coordinate plane below, is translated up 4 u…
(1,1)
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a triangle has these properties: - three sides of different lengths - t…
scalene, obtuse
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01/07 - rotations & dilation practice l possible points: 5.05 the pre -…
1. Image: \(\boldsymbol{(6, -2)}\), Scale Factor: \(\boldsymbol{2}\) 2. Image: \(\boldsymbol{(2, 0)}\), Rule: \((x, y)\to(\boldsymbol{\frac{1}{3}}x, \boldsymbol{\frac{1}{3}}y)\) 3…
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01/07 - rotations & dilation practice l rectangle abcd is similar to re…
2.5
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is $\\triangle pmr$ similar to $\\triangle smn$? if so, which postulate…
\( \triangle PMR \) is similar to \( \triangle SMN \) by the SAS Similarity Theorem. (Corresponding option: the one with SAS Similarity Theorem)
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rotations & dilation practice l directions—for each set of points below…
Rule \((x, y)\): \((-x, -y)\) \(A'(-2, -5)\) \(B'(-6, -7)\) \(C'(-9, -5)\) \(D'(-6, -2)\)
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find tan j and tan k. write each answer as a fraction and as a decimal …
\( \tan J=\frac{8}{15}\approx0.5333 \) \( \tan K=\frac{15}{8} = 1.875 \)
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90° counterclockwise rotation rule (x, y): (□, □) d (□, □) e (□, □) f (…
Rule \((x, y)\): \((-y, x)\) \(D'(-2, 5)\) \(E'(-4, 2)\) \(F'(-1, 0)\) \(G'(1, 3)\)
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90° clockwise rotation rule (x, y): (□, □) s(□, □) t(□, □) u(□, □) v(□,…
Rule: \((x, y) \to (y, -x)\) \(S'(3, -2)\) \(T'(0, 1)\) \(U'(-1, -4)\) \(V'(2, -5)\)
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find the tangents of the acute angles in the right triangle. write each…
\( \tan R = \frac{45}{28} \approx 1.6071 \) \( \tan S = \frac{28}{45} \approx 0.6222 \)
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180° rotation rule (x, y): ( p( q( r( s(
Rule \((x, y)\): \((-x, -y)\) \(P'(2, -4)\) \(Q'(-3, -4)\) \(R'(-1, -2)\) \(S'(4, -2)\)
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details no additional details were added for this assignment. which tri…
$\triangle ABC$ is similar to $\triangle GHI$ by AA Similarity Postulate.
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90° counterclockwise rotation rule (x, y): (□, □) c (□, □) d (□, □) e (…
- Rule (x, y): \((-y, x)\) - \(C(-2, 0)\) - \(D'(5, 0)\) - \(E'(0, 2)\) - \(F'(3, 0)\)
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calculator what is the value of x? enter your answer in the box. □ unit…
27
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90° clockwise rotation rule (x, y): (□, □) e(□, □) f(□, □) g(□, □) h(□,…
Rule \((x, y)\): \((y, -x)\) \( E'(1, 4) \) \( F'(1, 0) \) \( G'(-1, -1) \) \( H'(-1, 5) \)
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180⁰ rotation rule (x, y): (□, □) t (□, □) u (□, □) v (□, □) w (□, □)
Rule \((x,y)\to\boldsymbol{(-x,-y)}\) \(T\): \(\boldsymbol{(-1,4)}\) \(U\): \(\boldsymbol{(-4,4)}\) \(V\): \(\boldsymbol{(-4,1)}\) \(W\): \(\boldsymbol{(-1,1)}\)
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use the graph of the circle to answer the question. what is the equatio…
\(h = 2\) \(k = 4\) \(r = 4\)
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find sin d, sin e, cos d, and cos e. write each answer as a fraction in…
\(\sin D=\frac{35}{37}\approx0.9459\) \(\sin E=\frac{12}{37}\approx0.3243\) \(\cos D=\frac{12}{37}\approx0.3243\) \(\cos E=\frac{35}{37}\approx0.9459\)
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state the coordinates of each point. 3) a (-10, 2) f ( , ) b ( , ) g ( …
B (5, 10) C (-8, -4) D (-8, -9) E (1, -5) F (2, -4) G (-7, 7) H (2, 5) I (7, -1) J (-7, -6)