Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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1. a scale drawing of a school bus has a scale of 1/2 inch (in.) to 5 f…
The actual length of the bus is 45 feet. The width of the lake on the scale drawing is 12.5 cm.
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multiple choice 1 point what is the measure of ∠cbf? 128° 136° 98° 90°
$136^{\circ}$ (corresponding to the second option in the multiple - choice list)
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5 multiple choice 1 point what is the measure of ∠abd? 60° 140° 160° 40°
$140^{\circ}$
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edmundo used a number line to show the solution for the inequality |2x …
A number line with open circles at 1 and 5 and the segment between 1 and 5 shaded.
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4 multiple choice 1 point what is the measure of ∠abd? 74° 23° 113° 180°
$113^{\circ}$
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multiple choice 1 point the appropriate name and symbol for the line se…
Line segment, $\overline{PQ}$
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10 use the square figure given below to answer the following questions.…
(a) $4x + 12$ (b) $x^{2}+6x + 9$
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graph the line containing the point p and having slope m. p=(1, - 7); s…
Graph a vertical line passing through the point $(1,-7)$ on the coordinate - plane. This line will have the equation $x = 1$ and will cross the x - axis at the point $(1,0)$ and p…
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1 multiple choice 1 point the blue object below, is best defined as a _…
Line, $\overleftrightarrow{AE}$
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find the measure of the indicated angle that makes u and v parallel 100…
\(80^{\circ}\)
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angles 1 and 2 are an example of same side exterior angles a linear pai…
a linear pair
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calculate angle r.
34°
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19. (2 pts) the formula r = \\frac{d}{2} can be used to find the radius…
A. $d = 2r$
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which angle is a remote interior angle to angle e? a c d b
B. c, A. a
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6. given: 2pq = pr prove: q is the mid - point of pr statements reasons…
3. Substitution Property of Equality 4. Subtraction Property of Equality 5. $Q$ is the mid - point of $\overline{PR}$ ### Problem 7
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what is the value of s? s = 90 degrees s = 55 degrees s = 125 degrees s…
s = 125 degrees
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what is the volume of the rectangular prism? enter your response in the…
$x^{3}-7x^{2}$
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find the measure of the indicated angle that makes u and v parallel. 50…
50°
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pick the correct statements. ∠1 and ∠5 are complementary angles. ∠1 and…
∠1 and ∠3 are vertical angles; ∠2 and ∠3 are supplementary angles.
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16. (4 pts) the length of a rectangle is 5 less than twice the width. i…
The width of the rectangle is 26 and the length is 47.
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write an expression to represent the area of the triangle shown below. …
$4x^{2}-2x - 2$
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7. a rectangle is 8 inches long and 4x inches wide. the value of the pe…
$x = 4$
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line 1: y = x - 4 line 2: y = x + 9 are the lines shown parallel, perpe…
parallel
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graph the line containing the point p and having slope m. p=(3, - 2), m…
The line is a horizontal line passing through the point $(3,-2)$ with the equation $y=-2$. To graph it, find the point $(3,-2)$ on the coordinate - plane and draw a horizontal lin…
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the side lengths of a rectangle are described as (8a + 1) feet and (3a …
$24a^{2}-13a - 2$ (corresponding to the last option in the multiple - choice list)
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2. this question has two parts. first, answer part a. then, answer part…
Part A: C. $r + m\leq20$, $7r + 8.5m\geq150$ Part B: $(2,17)$, $(5,15)$, $(10,10)$
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what are the values of the angles in the triangle shown? 90 45 60 180
60
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question 6, 2.3.27 graph the line that contains the point (2,2) and has…
Graph the line passing through the points $(2,2)$ and $(5,3)$ on the given grid.
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find the measure of each angle indicated.
80°
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solve for x.
$x = 7$
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find an equation for the line below.
$y=x + 5$
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what is the value of the missing angle? 130° 50° 100° 25°
130°
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graph the line containing the point p and having slope m. p=(3,0) m = 3…
Graph the line passing through the points $(3,0)$ and $(4,3)$ on the given grid.
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refer to the figure. which statement is true? a. (l_1perp t) and (l_2pa…
A. \(l_1\perp t\) and \(l_2\parallel l_3\)
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11. (3 pts) solve and graph the inequality below on a number line. 8x +…
The solution of the inequality is $x < 5$. On the number - line, an open circle at 5 and shading to the left.
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find the measure of the indicated angle that makes u and v parallel. al…
$58^{\circ}$
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write a linear equation to model the scenario. use x for the unknown va…
$4x=\frac{3}{7}\times2(2x + 6)$
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find the measure of the indicated angle that makes u and v parallel. 50…
128°
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write a linear equation to model the scenario. use x for the unknown va…
$4x=\frac{1}{7}\times2(2x + 5)$
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calculate angle d.
49
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graph the line containing the point p and having slope m. p=(-6,3) m = …
D. For every unit of increase in x, y will increase by 1 unit.
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what is the correct equation to solve for x? 2x + 6x + 4x = 90 4x + 2x …
B. \(4x + 2x + 6x = 180\)
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line m contains points a, b, and c, where a is (1, -3), b is (2, -6), a…
E. $-3$
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help me solve this | 6 parts remaining graph the line containing the po…
Plot the points $(-6,3)$ and $(-5,4)$ and draw a line through them.
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a point at (-3,5) is rotated 90 counterclockwise about the origin, then…
A. $(-7,10)$
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what is the value of x? 32 71 109 90
109
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determine whether each object has reflectional symmetry and whether it …
10. Lines of reflectional symmetry: 4 (vertical, horizontal, two diagonal). Angles of rotation: 90°, 180°, 270°. 11. Lines of reflectional symmetry: 2 (vertical, horizontal). Angl…
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which is the equation of a line parallel to x=-9? x=3 undefined y=-9 y=x
$x = 3$
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in the diagram, m || n. what is the value of x? a. 32 b. 40 c. 52 d. 64…
C. 52
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a and c are examples of alternate exterior angles same side exterior an…
alternate exterior angles
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a point at (6,-4) is translated by the vector (-2,3), then reflected ac…
D. $(1,-4)$
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solve the following compound inequality. write the solution set using i…
A. The solution set is $(-\infty,5)\cup(7,\infty)$. The correct graph is A as it shows an open - circle at 5 with an arrow pointing to the left and an open - circle at 7 with an a…
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what geometric reason justifies the transition from statement 2 to stat…
Substitution
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calculate for angle x.
$62^{\circ}$
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decide if the following statement is valid or invalid. all triangles ha…
Invalid
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find the measure of the angle indicated in bold. 85° 7° 4° 110°
$85^{\circ}$
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a point at (6, -4) is translated by the vector (-2, 3), then reflected …
None of the given options are correct. The correct final point is $(4,-2)$.
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calculate the missing interior angle.
98
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all horizontal lines are ____________ to all vertical lines. congruent …
perpendicular
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a point at (1,3) is reflected across the y - axis, then translated by t…
None of the given options are correct. The correct answer should be $(-7,-3)$.
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two interior angles on the same side of the transversal vertical angles…
same side interior angles
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write a linear equation to model the scenario. use x for the unknown va…
$3x=2(x+(x - 5))$
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find the area. 15 in 9 in 12 in 15 in 18 in area of □ = ? in² area of △…
Area of $\square=270$ in² Area of $\triangle = 54$ in² Area of Figure $=324$ in²
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find the area. a = ? ft²
$192$
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7. a point at (-5,-2) is rotated 180 counter - clockwise about the orig…
B. $(6,-3)$
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the surface area of a cylinder without including the 2 bases is (a = 2p…
The correct option is the one that represents $r = \frac{A}{2\pi h}$ (the options in the original question are not clearly - written in the provided text, but the correct algebrai…
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solve the following compound inequality. write the solution set using i…
A. The solution set is \((-5,\infty)\) The correct graph is A (an open - circle at \(-5\) and an arrow pointing to the right).
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find the perimeter. p = ? ft
64 ft
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find the distance, d, of ab. a = (-5, 5) b = (5, -5) d = \\sqrt{(x_2 - …
$14.1$
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what is the value of x? 40° 140° 80° 70°
$140^{\circ}$
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find the midpoint, m, of $overline{ab}$. a = (-5, 5) b = (5, -5) m = ($…
$(0,0)$
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which graph shows the system $\begin{cases}x^{2}+y = 2\\x^{2}+y^{2}=9en…
The graph that shows the system of equations \(x^{2}+y = 2\) (a parabola opening downwards with vertex at \((0,2)\)) and \(x^{2}+y^{2}=9\) (a circle centered at the origin with ra…
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6. a point at (4,7) is reflected across the line x = - 1, then translat…
B. (5,3)
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what does the notation below indicate? ∠abc ≅ ∠def two parallel lines t…
two congruent angles
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5. a triangle with vertices at j(-2,-5), k(-4,-1), and l(-1,-1) is rota…
D. $J'''(-2,2)$
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write a linear equation to model the scenario. use x for the unknown va…
$4x=\frac{1}{3}\times2(2x + 4)$
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if m∠acd = 40°, then m∠dcb = ?°
$140$
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which graph shows a system of equations with no solutions?
The graph of two non - intersecting circles (the first graph shown) represents a system of equations with no solutions as the solution of a system of equations is the set of point…
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a triangle with vertices at g(1, - 3), h(4, - 3), and i(1, - 1) is refl…
A. H'''(3, - 2)
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the supplement of a 110° angle = ?°
$70$
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a triangle with vertices at d(-4,1), e(-1,1), and f(-1,4) is reflected …
C. $D'''(5,6)$
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if m∠abd = 70° and m∠cbd = 30°, then m∠abc = ?°
$40$
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a triangle with vertices at p(1,1), q(3,1), and r(1,5) is translated by…
D. Q'''(5,2)
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1. a triangle with vertices at a(2,3), b(5,3), and c(2,6) is transforme…
C. A''(-4,6)
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find the length of $overline{ab}$. a -34 0 b 17 ab = ?
51
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angles 1 and 4 are an example of alternate interior angles same side ex…
alternate exterior angles
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which graph represents the solution of the system $\begin{cases}x^{2}+y…
The graph of a circle \(x^{2}+y^{2}=4\) (center at the origin \((0,0)\) and radius \(r = 2\)) and a line \(y=x - 1\) (with \(y\) - intercept \(-1\) and slope \(m = 1\)) intersecti…
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write a linear equation to model the scenario. use x for the unknown va…
$4x=\frac{1}{3}\times2(2x + 1)$
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which geometric construction depicts a line?
The third geometric construction (the one with a straight figure passing through A and B and having arrows on both ends indicating infinite extension) depicts a line.
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the volume of a sphere is given by the formula $v = \\frac{4}{3}\\pi r^…
A. 3 m
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write a linear equation to model the scenario. use x for the unknown va…
$4x=\frac{1}{3}\times2(2x + 1)$
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which of the following shapes is considered to be a 3 dimensional figur…
D. A cylinder
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in the right triangle shown below, which of the following statements is…
G. $\sin A=\frac{12}{13}$
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a machine - part is diagrammed in the figure below with its dimensions …
A. $5\frac{7}{16}$
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ken baked, frosted, and decorated a rectangular cake for the last math …
J. 48
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use the following information to answer questions 13 - 15. ken baked, f…
E. 128
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11. points b and c are on ad as shown below. the length of ad is 30 uni…
B. 6
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if triangle abc is rotated 90 degrees clockwise about the origin, what …
$(0,-3)$
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write the equation of the line in fully simplified slope - intercept fo…
$y=\frac{3}{4}x + 6$
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if triangle abc is reflected across the x - axis, what are the coordina…
$(1,3)$