Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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in the diagram, m∠acb = 55. find m∠bcd. m∠bcd = □°.
35
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in which quadrant is sine negative, cosine positive, and tangent negati…
A. Quadrant IV
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short answer 6. the base of a ladder is 0.5 m from a wall of a house. t…
\( 11^\circ \)
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question how many sides does a regular polygon have if each interior an…
The regular polygon has 9 sides.
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applying a trigonometric ratio to find a side length what is the value …
\( 6.48 \)
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7. determine the angle of inclination of the line to the nearest tenth …
\(32.1^\circ\)
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name: ______________ 4. determine the angle of inclination of the line …
b. \( 23.3^\circ \) ### Question 5
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use the image to answer the question. diagram: unit circle with a right…
\( \boldsymbol{\frac{\sqrt{3}}{3}} \) (assuming the first option is \( \frac{\sqrt{3}}{3} \))
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use the triangle shown on the unit circle to find (\tan \frac{pi}{3}). …
\(\sqrt{3}\) (Assuming one of the options is \(\sqrt{3}\), for example, if the options are as follows (from the partial view): if one of the options is "B. \(\sqrt{3}\)" then the …
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d the measure of the missing angles.
e = 140°, f = 40°
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at what which of the following sets of values is the tangent function u…
at 90 and 270 degrees
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find the measure of the missing angles. answer attempt 1 out of 2 d = \…
d = 90°, e = 140°, f = 40°
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write the coordinates of the vertices after a rotation 90° counterclock…
\( J'(-3, -8) \), \( K'(-9, -8) \), \( L'(0, -2) \)
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find the measure of the missing angle. diagram showing a horizontal ray…
51°
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question 15 (1 point) (01.06 mc) jason has 144 feet of material to buil…
d. 21 yards
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question 12 (1 point) (01.05 mc) shiloh has to earn at least $200 to me…
b. \( 40 \leq x \leq 100 \) ### Question 13
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what is the center of the circle ( x^2 + y^2 - 16x = 0 )? simplify any …
\((8, 0)\)
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question 8 (1 point) (01.03 mc) the perimeter of a rectangle can be fou…
d. Yes. The rectangle can have \( P = 60 \) and \( L = 18 \) because \( P = 2(18) + 2(12) \) would equal 60. ### Question 9
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circle a and circle b are shown below. complete the paragraph to prove …
To map circle A onto circle B, first apply a dilation with center A and a scale factor of \(\boldsymbol{4}\) to circle A. Then, translate the dilated circle 8 units to the \(\bold…
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a line is drawn so that it passes through the points (3, 4) and (2, 1) …
3 (corresponding to the option "3")
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function tables and the coordinate plane grade 5 geometry worksheet com…
### For the rule \( y = 2 - x \): #### Step 1: When \( x = -2 \) Substitute \( x = -2 \) into \( y = 2 - x \). \( y = 2 - (-2) = 2 + 2 = 4 \) Ordered pair: \( (-2, 4) \) #### Step…
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find the magnitude of the vector. write your answer in simplified form.
\(\sqrt{145}\)
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find the tangent of ∠j. simplify your answer and write it as a proper f…
$\frac{56}{33}$
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grade 5 geometry worksheet fill out the table below. write the correspo…
### For the rule \( y = 2x \): #### Step 1: When \( x = -2 \) Substitute \( x = -2 \) into \( y = 2x \). \( y = 2\times(-2)= -4 \) Ordered pair: \( (-2, -4) \) #### Step 2: When \…
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the measure of angle bac can be calculated using the equation $sin^{-1}…
44° (corresponding to the option: 44°)
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what is the approximate value of x? round to the nearest tenth. triangl…
4.6 cm
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4. determine the angle of inclination of the line to the nearest tenth …
b. \( 23.3^\circ \) ### Question 5
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the piecewise function h(x) is shown on the graph. what is the value of…
1
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what is the length of $overline{bc}$? round to the nearest tenth. diagr…
14.5 cm (assuming the third option is 14.5 cm)
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amath lome mwk 1- introduction complete: 20% / line segment / ray les e…
\(\angle VWX\) and \(\angle YVW\) (or other valid congruent angles like \(\angle WXY\), \(\angle XYV\))
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which equation can be used to solve for c? image of right triangle abc …
\( c = \frac{5}{\cos(35^{\circ})} \) (the second option)
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two lines with slopes m₁ and m₂ are ______ if and only if m₁m₂ = -1. tw…
perpendicular
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a right triangle has a 30° angle. the leg adjacent to the 30° angle mea…
14.4 in.
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what is the sum of 11 of the interior angles of a regular dodecagon? an…
\( 1650^{\circ} \)
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question 1, 1.4.1 the change in y-coordinates between two points on a l…
rise
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what is the length of (overline{ac})? round to the nearest tenth. image…
10.5 m
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name the marked angle in 2 different ways. (diagram with points n, m, k…
$\angle MNL$ ; $\angle N$
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find the length of (overline{ac}). use that length to find the length o…
10.7 cm (corresponding to the option "10.7 cm")
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8. in the figure shown, lines f and g are parallel. select the angle th…
b. Angle 6
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which equation can be used to solve for b? triangle with vertices b, a,…
\(b = (8)\sin(30^{\circ})\) (the third option: \(b=(8)\sin(30^{\circ})\))
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right triangle abc is shown. which equation can be used to solve for c?…
\(\sin(50^\circ)=\frac{3}{c}\) (the first option)
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7. lines ab and bc are perpendicular. the dashed rays bisect angles abd…
The measure of angle \( EBF \) is \( 45^\circ \).
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how many sides does a polygon have if the sum of the interior angles is…
The polygon has 12 sides.
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which equation can be solved to find one of the missing side lengths in…
$\boldsymbol{\cos(60^\circ) = \frac{12}{a}}$ (the first option)
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use the diagram to find the angle measures of the triangle. recall that…
\(x^\circ=\boxed{25}^\circ\) \((x + 5)^\circ=\boxed{30}^\circ\) \(5x^\circ=\boxed{125}^\circ\)
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6) what is the measure of angle abe?
$130^\circ$
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the equation $\\sin(40^\\circ) = \\frac{b}{20}$ can be used to determin…
B. 12.9 cm
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given right triangle mno, which represents the value of cos(m)? options…
$\frac{MN}{MO}$ (the second option: $\boldsymbol{\frac{MN}{MO}}$)
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using the side lengths of △pqr (right - angled at r, pr = 12, rq = 16, …
$\angle P$
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given right triangle gyk, what is the value of tan(g)? options: \\(\\fr…
$\sqrt{3}$ (the last option)
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point v lies on tu such that tv:uv is 3:2. graph v.
The coordinates of point \( V \) are \( (-5, -2) \), so we graph the point at \( (-5, -2) \) on the coordinate plane.
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given right triangle jkl, what is the value of cos(l)? options: \\(\\fr…
$\frac{5}{13}$ (corresponding to the first option)
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a system of inequalities, where x is the rate of a spaceship in a video…
\(>\)
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the coordinates of the endpoints of \\( \\overline{qr} \\) are \\( q(-1…
\((-1, -2)\)
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write the equation of a line that is parallel to x = 3 and goes through…
\( x = -1 \)
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1 which of the following graphs represents the solution to the inequali…
C
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the coordinates of the endpoints of \\(\\overline{lm}\\) are \\(l(-7, -…
\((-4, -3)\)
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which trigonometric ratios are correct for triangle def? select three o…
\( \sin(D)=\frac{24}{25} \), \( \tan(D)=\frac{24}{7} \), \( \sin(E)=\frac{7}{25} \) (corresponding to the first, third, and fourth options)
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what is the length of the side opposite ∠b? ○ 3 units ○ 4 units ○ 5 uni…
4 units (corresponding to the option "4 units")
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given △def, which is not equal to cos(f)? ○ sin(f). ○ sin(d). ○ tan(f).…
$\tan(F)$
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1) point g lies on ef such that eg:fg is 1:3. graph g.
The coordinates of \( G \) are \( (0, -7) \), and it can be graphed at the point where \( x = 0 \) and \( y=-7 \) on the coordinate plane.
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point d is rotated 180 degrees using b as the center. explain why the i…
When a point \( D \) is rotated \( 180^\circ \) about center \( B \), the image \( D' \) satisfies \( B \) is the midpoint of \( \overline{DD'} \) and \( D \), \( B \), \( D' \) a…
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de has endpoints d(4, 11) and e(8, 9). point f divides de into two part…
The two possible locations of \( F \) are \( (7, 9.5) \) and \( (5, 10.5) \).
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the coordinates of the endpoints of \\(\\overline{pq}\\) are \\(p(3, 5)…
\((6, 7)\)
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which of the following is a real-life application of understanding geom…
c. Designing buildings ### Second Question:
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the coordinates of the endpoints of (overline{gh}) are (g(2, 16)) and (…
\( (12,10) \)
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which trigonometric ratios are correct for triangle abc? select three o…
\(\sin(C)=\frac{\sqrt{3}}{2}\), \(\tan(C)=\sqrt{3}\), \(\sin(B)=\frac{1}{2}\)
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point t lies on \\(\\overline{rs}\\) such that \\(rt:st\\) is \\(2:5\\)…
Point \( T \) has coordinates \( (-2, 3) \).
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when proving congruence by reflection, what must be true about the figu…
b. They are mirror images across a line. ### Second Question:
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given right triangle xyz (with right angle at z, side zy labeled ( a ),…
D. \( a \) is adjacent, \( b \) is opposite, \( c \) is the hypotenuse
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how many parts of the whole are shaded? ○ 6/8 ○ 6/12 ○ 2/8 ○ 1/3
6/8
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a piece of land is to be fenced and subdivided as shown so that each re…
# Explanation: ## Step1: Analyze vertical fences There are 4 vertical fences, each of length \( x \), so total vertical fencing: \( 4\times x = 4x \). ## Step2: Analyze horizontal…
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find the slope of the line graphed below.
\(-\frac{1}{2}\)
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what rigid motion could align two identical shapes, one above the other…
a. Translation ### Second Question:
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find the slope of the line graphed below.
\(-\frac{5}{4}\)
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given right triangle jkm, which correctly describes the locations of th…
A. a is the hypotenuse, b is adjacent, c is opposite
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what is the volume of this figure? 2 in. 2 in. 3 in. 4 in. 3 in. 1 in. …
22
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consider triangle qrs. the legs each have a length of 10 units. image o…
\( 10\sqrt{2} \) units (corresponding to the option "10√2 units")
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en la siguiente figura, los puntos m, p, h, j y k están en el plano z. …
### (a) # Explanation: ## Step1: Analizar rectas en el plano La recta $\overleftrightarrow{JP}$ y la recta que pasa por $L$, $M$, $N$ (ya que $M$ está en el plano $Z$ y la recta $…
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each leg of a 45°-45°-90° triangle measures 12 cm. what is the length o…
\(12\sqrt{2}\) cm (corresponding to the option: \(12\sqrt{2}\) cm)
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consider the diagram. lines ac and rs are coplanar. parallel. perpendic…
The correct option is: skew (the option with the blue dot, which is the last option in the list: "skew").
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a person is standing exactly 36 ft from a telephone pole. there is a 30…
\(12\sqrt{3}\) ft
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the coordinates of the endpoints of \\(\\overline{uv}\\) are \\(u(7, 16…
\((13, 10)\)
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the coordinates of the endpoints of \\(\\overline{hi}\\) are \\(h(1, 4)…
\((4, 7)\)
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the height of trapezoid vwxz is ( 8sqrt{3} ) units. the upper base, ( o…
(for the length of \(\overline{ZX}\)): 18 units (corresponding to the option "18 units")
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this rectangular prism is made of unit cubes. what is the volume of the…
90
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the coordinates of the endpoints of \\( \\overline{mn} \\) are \\( m(-8…
\((-4,4)\)
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consider triangle ghj. diagram: right triangle ghj with right angle at …
\( 5\sqrt{3} \) units
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7. the scale on a canadian road map is 1:700 000. a) what does this sca…
The scale \(1:700000\) means \(1\) unit on the map represents \(700000\) units in actual distance. ### Part (b)
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point n lies on (overline{lm}) such that (ln:nm) is (2:1). graph n.
The coordinates of point \( N \) are \( (6, 13) \), and it should be graphed at the intersection of \( x = 6 \) and \( y = 13 \) on the given grid.
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consider triangle pqr. what is the length of side qr? ○ 8 units ○ 8√3 u…
16 units
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point l lies on (overleftrightarrow{jk}) such that (jl:kl) is (5:1). gr…
The coordinates of point \( L \) are \( (5, -4) \), so graph the point at \( (5, -4) \) on the coordinate plane.
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a wall in maria’s bedroom is in the shape of a trapezoid. the wall can …
13 ft (corresponding to the option "13 ft")
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3. a 12-m ladder leans against the wall of a house. the top of the ladd…
The distance from the base of the ladder to the wall is approximately \( 5.81 \, \text{m} \).
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the coordinates of the endpoints of \\(\\overline{ij}\\) are \\(i(3, 5)…
\((9, 11)\)
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clasificar cada figura como una recta, semirrecta o segmento de recta. …
Tipo: semirrecta; Cómo se escribe: \( \overrightarrow{HG} \) ### (b)
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jules owns a square plot of land that measures 30 yards on each side. h…
\(30\sqrt{2}\) yd (corresponding to the option \(30\sqrt{2}\) yd)
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the hypotenuse of a 45°-45°-90° triangle measures 18 cm. diagram of a 4…
\(9\sqrt{2}\) cm (corresponding to the option "9√2 cm")
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the coordinates of the endpoints of \\(overline{ab}\\) are \\(a(-8, -8)…
\((2, - 3)\)
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line segment yv of rectangle yvwx measures 24 units. what is the length…
$8\sqrt{3}$ units (corresponding to the option "8√3 units")