Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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in the figure below, m∠1 = 128°. find m∠2, m∠3, and m∠4. m∠2 = m∠3 = m∠…
\( m\angle2 = 52^\circ \), \( m\angle3 = 128^\circ \), \( m\angle4 = 52^\circ \)
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in the figure below, m∠2 = 46°. find m∠1, m∠3, and m∠4. m∠1 = \\(\\squa…
\( m\angle1 = 134^\circ \), \( m\angle3 = 134^\circ \), \( m\angle4 = 46^\circ \)
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19. farrah sketched a map of the inside of the school building. she gra…
\((-3,-4)\) ### Part B To plot the point \((-3,-4)\) on the coordinate plane: 1. Start at the origin \((0,0)\). 2. Move 3 units to the left along the \(x\) - axis (because the \(x…
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original | scaled copy 5 | ? 3 | 6 4 | 8 what number can you multiply e…
2
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18. what is the vertical distance between points a and b on the coordin…
6
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find the missing side length, in units, in the scaled copy. original | …
30
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17. what is the horizontal distance between the points: a(-2, -1) and b…
3
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what is the volume of this figure? (with a 3d purple figure labeled wit…
108 cubic feet
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ides 2 r - 3 ≤ 2 s + - 1 + 5 ≤ 2 + 3 on the number lines.
The solution to the inequality \( r - 3 \leq 2 \) is \( r \leq 5 \), and it is graphed with a closed circle at 5 and shading to the left on the number line.
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what is the volume of this figure? 3 yd. 14 yd. 3 yd. 4 yd. 3 yd. 11 yd…
258
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2- des triangles semblables les quatre triangles abc suivants sont semb…
## Triangle #2: a) $AB = \frac{1330}{43} \approx 30.93$ dm b) $BC = \frac{760}{43} \approx 17.67$ dm ## Triangle #3: a) $AC = \frac{344}{7} \approx 49.14$ dm b) $BC = \frac{160}{7…
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a. fill in the blanks directions: read each sentence and choose the wor…
for 1**: reversible 2. **Explanation for 2**: The weight gain was over six months, so it was slow/step - by - step. "Gradual" means happening slowly over time.
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the image shows a graph of a parabola on a coordinate grid. labels incl…
- Zero(s): $(-2, 0)$ - Vertex: $(-3, -1)$ - Y-intercepts: $(0, 2)$ and $(0, -2)$ - Axis of symmetry: $x = -3$
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14. place an x in the appropriate cell to identify the quadrant in whic…
| Point | Quadrant I | Quadrant II | Quadrant III | Quadrant IV | |-------------|------------|-------------|--------------|-------------| | \((-1, -8)\) | | | X | | | \((8, -1)\) …
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give the location of berlin as an ordered pair (x, y).
$(9, 7)$
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13.anthony is plotting points on a coordinate plane. on what axis (x or…
\(y\)-axis
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find the area of the figure below by first finding the areas of the rec…
- Area of the rectangle: \( 12 \) square units - Area of the triangle: \( 4 \) square units - Area of the figure: \( 16 \) square units
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using the pencil, plot the point (3, -5).
The point is plotted 3 units to the right of the origin and 5 units below the x-axis, at the intersection of $x=3$ and $y=-5$ on the coordinate grid.
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the graph of a quadratic function is shown. which of the following stat…
None of these points represent the zero(s) of the function.
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what are the values of t and u? (figure of triangle pqr with q at top, …
$t = 72^\circ$ $u = 36^\circ$
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what are the values of a and b? (image of triangle def with angle at d …
$a = 48^\circ$ $b = 84^\circ$
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what are the values of a and b? (there is a triangle hij with h, i, j a…
$a = 59^\circ$ $b = 62^\circ$
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what are the values of a and b? (there is a triangle efg with f at the …
$a = 88^\circ$ $b = 46^\circ$
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what are the values of b and c? (image of an isosceles triangle wuv wit…
$b = 37^\circ$ $c = 106^\circ$
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what is the value of x? triangle rst with r at top, t at bottom left, s…
$60$
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what is the value of s? triangle hij with angle at h and angle at j mar…
36
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what is the value of y? triangle with vertices h, i, g. angles at h, i,…
$8$
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what is the value of b? triangle efg with angle e, angle f, angle g mar…
18
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what is the value of c? (triangle egf with all sides marked equal, angl…
$60$
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what is the value of p? triangle rst with s at the bottom left, r at th…
\(75\)
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what is the value of s? i g h s = \\boxed{}^\\circ
$60$
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what is the value of v? (figure of triangle qrs with angle at q and ang…
$19$
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date: 01/05/2025 student’s name: when solving the following exercises, …
La medida del ángulo es aproximadamente $30^\circ$
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another system of equations discuss: can you identify a point that bala…
- A point balancing Hanger A: e.g., \((3,6)\) (any \((x,2x)\) works). - A point balancing Hanger B: e.g., \((2,10)\) (or \((4,14)\) etc., any \((x,2x + 6)\) works). - Both: None (…
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solve the right triangle. round decimal answers to the nearest tenth. t…
$RT\approx 17.9$, $m\angle T=33^\circ$
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solve the right triangle. round decimal answers to the nearest tenth. r…
$RS \approx 9.7$, $RT \approx 17.8$, $m\angle T=33^\circ$
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determine the value of b. round your answer to the nearest tenth. your …
14.6
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4 a guy wire is attached to an upright pole 6 meters above the ground. …
The length of the wire is \(2\sqrt{13}\) meters (or approximately \(7.21\) meters).
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determine the value of a. round your answer to the nearest tenth. right…
10.6
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determine the value of z. round your answer to the nearest tenth. * 1 p…
5.4
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determine the value of y. round your answer to the nearest tenth. * 1 p…
7.0
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7 each side of a checkerboard measures 40 cm. what is the length of its…
$40\sqrt{2}$ cm (approximately 56.57 cm)
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a 10.6-foot ladder is leaning against a wall. the top of the ladder for…
5.3 feet
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there is a right - angled triangle (the right angle is marked). one of …
$\approx14.84$
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② a rectangle is 3 meters wide and 10 meters long. how long is the diag…
The length of the diagonal is approximately \( \boldsymbol{\sqrt{109} \approx 10.44} \) meters (or exactly \( \sqrt{109} \) meters).
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there is a right triangle with a right angle, one angle is 25 degrees, …
$k\approx39.72$ (rounded to two decimal places)
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algebra the expressions $(9x + 5)^{circ}$ and $(11x - 25)^{circ}$ repre…
140
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1 find the length of the hypotenuse of each right triangle: a. 9 cm 7 c…
A. 11.40 cm B. 12.08 cm C. 8.94 cm D. 17.00 cm
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8 (blue right triangle with angle 31°, hypotenuse v, vertical side 19) …
$v\approx36.9$
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slope of the line count the rise and run between any two coordinates; a…
1) $\frac{3}{5}$ 2) $-\frac{3}{5}$ 3) $\frac{4}{5}$ 4) $-\frac{3}{5}$ 5) $\frac{11}{6}$ 6) $\frac{4}{5}$ 7) $-1$ 8) $\frac{3}{2}$ 9) $-\frac{4}{5}$
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7, a right triangle with one angle 72°, hypotenuse 10, and one leg y (t…
$y \approx 3.25$
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7 10 y 72° 8 v 19 31°
$y \approx 3.25$, $v \approx 36.89$
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① find the length o a. 7cm 9 cm
The length of the hypotenuse is \(\sqrt{130}\space cm\approx11.4\space cm\)
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14. three points are graphed below. determine a fourth point that lies …
12
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question 29 of 45 the points k, l, m, and n are on a number line from l…
B. 9
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3. which equation represents the line that is perpendicular to the grap…
\(3x - 4y=-18\) (the option with \(3x - 4y=-18\))
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b. commutative c. addition property of equality d. zero identity 8. und…
A. Addition, B. Subtraction, C. Multiplication
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solve the equation by factoring: $x^2 - 15 = -2x$ choose your answer...…
### First Problem: Solve the equation by factoring: \( x^2 - 15 = -2x \) # Explanation: ## Step1: Rearrange the equation to standard quadratic form We want to get all terms on one…
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5) $-5m - 7 \\geq 43$
$m \leq -10$ (Graph: Closed circle at $-10$, arrow pointing left on the provided number line)
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find the slope of the line that contains the following pair of points: …
0 (corresponding to the option "0")
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8. are the functions $3y = 4x - 2$ and $3x + 4y = 12$ parallel, perpend…
perpendicular
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slope of the line count the rise and run between any two coordinates, a…
\(1\) ### Problem 2:
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which of the following equations represents a line parallel to $y - 6 =…
\(y - 3 = 12(x - 2)\) (the third option)
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name:______________________________date:__________period:____ slope of …
Perpendicular ### Problem 2:
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a triangle is graphed on a coordinate grid. which transformation will r…
A. A reflection over the y - axis. B. A translation 5 units to the left. D. A 180° counterclockwise rotation around the origin (assuming the rotation is around the origin, as is t…
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example 3 find the volume of the given irregular pentagonal pyramid. st…
The volume of the irregular pentagonal pyramid is \(\frac{208}{3} \, \text{m}^3\) (or approximately \(69.33 \, \text{m}^3\)).
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simplify: 4. \\sqrt{12}
$8\sqrt{3}$
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circle n is a dilation of circle m with point r as the center of dilati…
3
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2. if gh = 7x + 18 and jk = 81, find x.
\( x = 9 \)
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which is true about the graph of $k(x) = \\frac{1}{2}\\sqrt3{-x} + 1$? …
B. I has one x-intercept and one y-intercept.
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these two shapes are similar. find q. 7 cm 21 cm 2 cm q q = \\boxed{} c…
6
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congruence and similarity pretest geometry cr highland / module 3: cong…
\( 132^\circ \)
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law of sines solve $\\triangle abc$. give lengths to the nearest tenth …
For △PHK: \(\angle P = 31^\circ\), \(PH\approx16.0\) yd, \(PK\approx25.0\) yd For △RST: \(\angle R = 127^\circ\), \(RS\approx9.0\) yd, \(ST\approx17.0\) yd (And similar solutions …
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a triangle with two equal - length sides (marked by two short cross - l…
$x = 13$
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which graph correctly shows the graph of the following line? $y = \\fra…
The provided graph does NOT correctly show $y=\frac{1}{2}x+4$. A correct graph would cross the y-axis at $(0,4)$ and pass through points like $(2,5)$, $(4,6)$, $(-2,3)$.
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problem #3: a surveyor is trying to find the length of a lake. he finds…
The length of the lake $d$ is approximately 339 meters (rounded to the nearest whole number, or 338.5 meters for more precision).
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problem #2: solve triangle abc if a = 65°, b = 65°, and c = 6. if no tr…
$C = 50^\circ$, $a \approx 7.09$, $b \approx 7.09$
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find the value of x in the triangle below: (there is a triangle with an…
$x = 52.5$ (or $\frac{105}{2}$)
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in △abc, ∠c = 50° if ∠a ≅ ∠b find the measure of each angle ∠a = ∠b =
\(\angle A = 65^\circ\), \(\angle B = 65^\circ\)
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answer the following questions. make sure to explain all your work and …
No triangle exists because the calculated value of $\sin B \approx 1.532$, which is outside the valid range of $[-1, 1]$ for the sine function.
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write an expression for the following statement ∠b is 15 more than twic…
$\boldsymbol{\angle B = 2x + 15}$
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evaluate: $g(f(5))$ $y = f(x)$ (graph of a piecewise linear function) $…
0
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find the measure of the three missing angles in the parallelogram below…
\(x = 77^\circ\), \(y = 103^\circ\), \(z = 77^\circ\)
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find the area of rectangle ghij. round your answer to the nearest tenth…
337.5
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find the area of rectangle ijkl. round your answer to the nearest tenth…
40.3 in²
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find the length of the three missing sides in the rhombus below. rhombu…
The length of \(x\) is 53, the length of \(y\) is 53, and the length of \(z\) is 53.
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find the area of rectangle bcde. round your answer to the nearest tenth…
The area of rectangle \( BCDE \) is \( 101.1 \) square inches (rounded to the nearest tenth) or \( 101.08 \) square inches (exact value). If we round to the nearest tenth, we look…
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find the length of the three missing sides in the rhombus below. rhombu…
The lengths of the three missing sides are \( x = 89 \), \( y = 89 \), and \( z = 89 \).
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pre - image abcd is dilated to be image abcd the origin is the center o…
5
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find the area of parallelogram lmno. round your answer to the nearest t…
The area of parallelogram \( LMNO \) is \( 211.2 \) square inches.
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find the measure of the three missing angles in the parallelogram below…
\(x = 75^\circ\), \(y = 75^\circ\), \(z = 105^\circ\)
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under a dilation, the point (2, 6) is moved to (6, 18) what is the scal…
3
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find the measure of the three missing angles in the parallelogram below…
The three missing angles are \(x = 56^\circ\), \(y = 124^\circ\), and \(z = 56^\circ\).
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which scale factors produce an expansion under a dilation of the origin…
-8, 7
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which scale factors produce a contraction under a dilation of the origi…
B. -0.5 C. 0.5
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find the length of the two missing sides in the parallelogram below. im…
The length of \( x \) is 54 and the length of \( y \) is 130.
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find the measure of the three missing angles in the parallelogram below…
The missing angles are \(x = 104^\circ\), \(y = 76^\circ\), \(z = 104^\circ\)
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find the measure of the three missing angles in the parallelogram below…
The measures of the missing angles are \(x = 98^\circ\), \(y = 82^\circ\), and \(z = 98^\circ\).
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find the area of parallelogram opqr. round your answer to the nearest t…
The area of parallelogram \( OPQR \) is \( 460.8 \) square inches.
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find the area of trapezoid cdef. round your answer to the nearest tenth…
336.5 in²