几何
三角形、圆、解析几何与证明题。
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in exercises 7 - 12, find the perimeter of the polygon with the given v…
7. 22 8. 16 9. $13+\sqrt{89}$ 10. $10 + 2\sqrt{5}$ 11. $7+\sqrt{13}+2\sqrt{10}$
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solve the inequality and graph the solution. q - 1 ≥ 4 plot the endpoin…
The solution of the inequality is $q\geq5$. On the number - line, we plot a closed circle at 5 (because the inequality is $\geq$) and draw a ray to the right of 5.
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solve the inequality and graph the solution. a - 2 ≤ 4 plot the endpoin…
The solution of the inequality is \(a\leq6\). On the number - line, there is a closed circle at 6 and the line is shaded to the left.
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question. the rectangle on the right is a scaled copy of the rectangle …
$\frac{1}{2}$
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find the slope of the line graphed below.
$-1$
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substitute the given values into the given formula and solve for the un…
$8.5$
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the figure below has rotational symmetry. is the smallest possible rota…
$30$
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which transformation would take figure a to figure b? answer a counterc…
A reflection over the y - axis
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1. explain why the term 100x² is a perfect square. a. the term 100x² is…
c. The term \(100x^{2}\) is a perfect square because it is the product of a number and variable multiplied by itself.
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which transformation would take figure a to figure b? answer a counterc…
A counterclockwise rotation of 180 about the origin
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complete the following sentence. the figure below has rotational symmet…
90
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complete the following sentence. the figure below has rotational symmet…
90
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4. calculate the volume of each figure. a figure a: each side length is…
$36\sqrt{3}-38\sqrt{2}$
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3. let m∠1 = 120°. a. what is m∠5? how do you know? b. what is m∠6? how…
a. $m\angle5 = 120^{\circ}$, because $\angle1$ and $\angle5$ are corresponding angles. b. $m\angle6 = 60^{\circ}$, because $\angle1$ and $\angle6$ form a linear pair. c. $m\angle8…
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5) what is the volume of a regular hexagonal prism with a base side len…
$3456\sqrt{3}\text{ ft}^3\approx5986.75\text{ ft}^3$
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4) what is the volume of a cone with a slant height of 15 m and a radiu…
$432\pi$ $m^{3}$
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15 in 13.76 in 20 in volume = _
$3440$ in³
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a) write whether the given points are collinear or not collinear 1) poi…
A) 1) Collinear 2) Not collinear 3) Not collinear 4) Collinear B) a) False b) False c) True d) False e) True
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2) 11 cm 8 cm volume = ________
$1056\sqrt{3}\text{ cm}^3\approx1829.2\text{ cm}^3$
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10.two lines intersect. if one angle is 70°, what is its supplementary …
$110^{\circ}$
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all prisms and pyramids are regular. leave answers in exact form. 1) a …
$3456\sqrt{3}\text{ ft}^3$
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draw and label each of the following. 1) $overleftrightarrow{pq}$ 2) po…
1. A line segment $\overline{PQ}$ is drawn with endpoints P and Q. 2. Two points S and T are marked on a plane. 3. A parallelogram representing plane EFGH is drawn with vertices E…
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complete the following sentence. the figure below has rotational symmet…
60
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complete the following sentence. the figure below rotational symmetry. …
has
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9. identify the type of special angle pair and what the missing value i…
The special angle - pair is alternate - interior angles and the value of $x$ is 44.
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1. find the point(s) of intersection of the line y = x + 4 and the circ…
The points of intersection are $(-6,-2)$ and $(1,5)$.
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circle a number that has a 3 that is one - tenth the value of the digit…
48.307
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a line segment has endpoints at (4, -6) and (0, 2). what is the slope o…
1. For the slope of the given line segment: - First, recall the slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(4, - 6)$ and $(x_2,y_2)=(0,2)$. - Then $m=\frac{2-…
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ntifying the criteria for perpendicular lines with the same y - interce…
The slope is $-\frac{2}{3}$ and contains the point $(0, - 2)$
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8. identify the type of special angle pair and what the missing value i…
The special angle - pair is corresponding angles and the value of x is 45°.
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the product of the slopes of q and r is 1. the product of the slopes of…
B. The product of the slopes of \(q\) and \(r\) is - 1.
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select all the true statements. a p⊥q b. q⊥n c. m||n d. p⊥m e. m||q f. …
None of the statements A - F are true.
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find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 90^{\circ}$, $e = 108^{\circ}$, $f = 72^{\circ}$
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question find the measure of the missing angle. answer attempt 1 out of…
\(49^{\circ}\)
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a geometry class is asked to find the equation of a line that is parall…
C. Both students are correct; the slope should be $- 1$, passing through $(4,2)$ with a $y$-intercept of $6$.
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question find the measure of the missing angles. answer attempt 2 out o…
\(x = 60\) \(y = 30\)
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the ratio of the side length of a square to the squares perimeter is al…
7
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for items 1 - 2, use the figure shown. select all the true statements. …
A. The slope of $m$ is $-\frac{2}{5}$
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7.identify the type of special angle pair is in the figure. determine i…
The special angle - pair is alternate interior angles and they are congruent.
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ms. lopez draws two cylinders on the whiteboard. the first cylinder has…
7
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a. m∠abc - m∠bac = 10 b. m∠abc - m∠bac = 20 c. m∠abc - m∠bac = 30 d. m∠…
C. $m\angle 1 - m\angle 2=60$
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what is m∠1? a. 60° b. 70° c. 120° d. 130°
C. 120°
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if (mangle e + mangle f=120^{circ}), which expression is equivalent to …
B. $(7x + 4)^{\circ}$
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select all the true statements. (2x + 1)° (x + 15)° x° a. (4x + 16) = 1…
A. \((4x + 16)=180\) D. From smallest to largest: \(\angle B,\angle C,\angle A\) E. \(m\angle C = 56^{\circ}\)
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6.figure abcd with vertices a(1,2), b(5,2), c(4,4), and d(2,4) is dilat…
12
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check your understanding use the picture on the right for questions 1 -…
1. Angles 3 and 6 are alternate - interior angles. 2. Supplementary angle pairs are \((\angle1,\angle2),(\angle3,\angle4),(\angle5,\angle6),(\angle7,\angle8),(\angle3,\angle5),(\a…
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graph {x | x > -1 and x < 4}. plot the endpoints. select an endpoint to…
On the number - line, place an open circle at \(x=-1\) and an open circle at \(x = 4\). Then draw a line segment connecting the two open - circles.
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the equation of a perpendicular bisector find the equation of the perpe…
$y =-\frac{2}{3}x + 1$
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g the equation of a perpendicular bisector find the equation of the per…
$-\frac{2}{3}$
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finding the equation of a perpendicular bisector find the equation of t…
We need more information such as the endpoints of the segment to find the slope of the perpendicular line.
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determining the equation of a perpendicular bisector find the equation …
\(y=-\frac{2}{3}x + 1\)
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click on the link below and open in a new tab: https://docs.google.com/…
There is no specific question asked in the provided text. However, if the task is to give a response for the "Storming of the Bastille" event: - If choosing "Resist": This could b…
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5.if a right triangle abc is rotated 180° clockwise. what is the angle …
$90^{\circ}$
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graph {x | x ≤ 4}. plot the endpoints. select an endpoint to change it …
On the number - line, place a closed circle at \(x = 4\) and draw a ray to the left of \(x = 4\) towards negative - infinity.
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8 muna diseñó un estanque koi para un restaurante. el siguiente diagram…
# Explicación: ## Paso 1: Dividir el estanque en dos prismas rectangulares Podemos dividir el estanque en dos prismas rectangulares. Uno con dimensiones 12 pies de largo, 6 pies d…
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ermining the equation of a perpendicular bisector find the equation of …
\(\frac{3}{2}\)
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12. in its frame, a rectangular painting measures 84 centimeters long a…
4704 square centimeters
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if the magnitude of a vector is 23, and the angle it makes with the x -…
$19.50$
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mathematical connections write an inequality that represents the missin…
$5x\geq8$
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#15 graph the inequality. -2 < w
An open - circle at $-2$ on the number line and shade the region to the right of $-2$.
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label the sides and angle and calculate the missing values in the trian…
The missing side is approximately $1.77$ and the missing angle is approximately $35.6^{\circ}$
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label the sides and angle and calculate the missing values in the trian…
$A\approx1.30$, $H\approx1.66$
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4.identify what transformation occured.
Translation
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label the sides and angle and calculate the missing values in the trian…
$H\approx2.55$, $\theta\approx39.1^{\circ}$
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label the sides and angle and calculate the missing values in the trian…
The missing side is approximately $2.55$. One non - right angle is approximately $39.1^{\circ}$ and the other is approximately $50.9^{\circ}$.
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which pairs of figures below are congruent? congruent? yes no congruent…
Second pair: Yes; First pair: No; Third pair: No; Fourth pair: No
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label the sides and angle and calculate the missing values in the trian…
$A\approx2.08$, $\theta\approx38.1^{\circ}$
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which pairs of figures below are congruent? congruent? yes no yes no co…
Second pair: Yes Third pair: Yes First pair: No Fourth pair: No
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label the sides and angle and calculate the missing values in the trian…
The opposite - side to the $36.9^{\circ}$ angle is approximately $1.85$, the hypotenuse is approximately $3.08$, and the other non - right angle is $53.1^{\circ}$
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label the sides and angle and calculate the missing values in the trian…
Hypotenuse $\approx2.55$, Non - right angle $\approx39.1^{\circ}$
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label the sides and angle and calculate the missing values in the trian…
Adjacent side $\approx1.98$, Opposite side $\approx1.47$, Other acute - angle $ = 53.5^{\circ}$
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assume that each circle shown below represents one unit. express the sh…
One Fraction: $\frac{9}{8}$ Mixed Number: $1\frac{1}{8}$
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find the value of x.
$135$
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reflect the figure over the line y = 1. plot all of the points of the r…
To reflect a point $(x,y)$ over the line $y = 1$, the rule is $(x,2 - y)$. For each vertex of the triangle: Let's assume the vertices of the original triangle are $(x_1,y_1),(x_2,…
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answer attempt 2 out of 2 $overline{gh}$ is a segment bisector. $overli…
$G$ is the vertex of a right angle. $G$ is the midpoint of a segment in the diagram.
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in quadrilateral mnop, mp is congruent to on and mp is parallel to on. …
Since \(MP\) is parallel to \(ON\), alternate - interior angles \(\angle PMO\) and \(\angle NOM\) are congruent. \(MO\) is congruent to \(MO\). Triangle \(PMO\) is congruent to tr…
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reflect the figure over the line y = 1. plot all of the points of the r…
To plot the reflected figure, find the reflection of each vertex of the original triangle using the rule $(x,y)\to(x,2 - y)$ and then connect the reflected points.
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in the right triangle shown, the length of $overline{ac}=5$ and the len…
C. \(\sqrt{61}\)
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7. given a parallelogram pqrs, ∠pqr is 24. a. draw parallelogram pqrs a…
b. The measure of $\angle RSP$ is $24^{\circ}$ because opposite angles in a parallelogram are equal. c. The measure of $\angle QRS$ is $156^{\circ}$ because adjacent angles in a p…
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in the right triangle shown, the length of $overline{ac}=5$ and the len…
C. \(\sqrt{41}\)
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triangle abc is shown. what is sin(∠abc)? choose 1 answer: a 9√30 b 9√1…
B. $\frac{9\sqrt{130}}{130}$
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in the right triangle shown, the length of $overline{ac}=4$ and the len…
A. $2\sqrt{5}$
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a parallelogram wxyz is given. the angle measure of ∠w is 56°. 1. draw …
2. \(m\angle Y = 56^{\circ}\) because opposite angles in a parallelogram are equal. 3. \(m\angle Z = 124^{\circ}\) because adjacent angles in a parallelogram are supplementary (\(…
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from unit 1, lesson 15 find the surface area of this triangular prism. …
$3.6$
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5. klmn ~ pqrs; find x 6. △rst ~ △ysz; find yz
For problem 5: \(x = 7\) For problem 6: \(YZ=\frac{80}{3}\)
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consider the following function. q(x)=\begin{cases}\frac{1}{2x}&\text{i…
No graphs are given, but the graph has a hyperbola - like part \(y=\frac{1}{2x}\) for \(x < 2\) (open - circle at \(x = 2\)) and a decreasing linear part \(y=-\frac{4}{3}x\) for \…
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1) a room that is 20.8 feet by 14.6 feet has a 2.4 foot - wide slate wa…
51.6 feet
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a parallelogram wxyz is given. the angle measure of ∠w is 56°. 1. draw …
1. (Drawing not provided in text - based response, but for drawing: Draw a parallelogram with vertices W, X, Y, Z in order. Mark ∠W at one of the vertices.) 2. m∠Y = 56° because o…
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practice problems 6 from unit 1, lesson 14 a. what polyhedron can be as…
a. Triangular prism b. For the rectangular faces: lengths and widths of the rectangles; for the triangular faces: base and height of the triangle.
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example 5 parallelogram △hijk is shown. the value of x is ________ beca…
The value of \(x\) is \(125\) because opposite angles in a parallelogram are congruent. \(\angle H+\angle I = 180^{\circ}\) because they are supplementary angles. \(22 + 125+y=180…
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in the figure, $\triangle abc$ is congruent to $\triangle adc$. if the …
C. \(4:1\)
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solve the inequality. $\frac{8}{5}>s + \frac{12}{5}$ the solution is gr…
$s<-\frac{4}{5}$ To graph the solution: 1. On the number - line, find the point $-0.8$. 2. Since the inequality is $s < - 0.8$, we use an open circle at $-0.8$ (because $s$ cannot…
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solve the inequality. -9.1 < d - 6.3 the solution is . graph the soluti…
$d>-2.8$; The correct graph is the one with an open - circle at $-2.8$ and an arrow pointing to the right.
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name: chris.v example 2 given parallelogram abcd, prove △aed≅△ceb. stat…
The proof is completed as shown in the above - filled table, where we use the properties of parallelogram diagonals, the definition of bisectors, vertical - angles theorem and the…
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∠fba≅∠fdc alternate interior angles theorem ? ? \\(\\frac{fb}{fd}=\\fra…
A. Statement: $\triangle FDC\sim\triangle FAB$ Reason: AA
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a rectangular shaped park contains two gardens of multi - colored roses…
A. 148 meters
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select the correct answer. given: $overline{pr}$ bisects $angle qps$, $…
D. Use SAS to show triangle $PRQ$ is congruent to triangle $PRS$
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bee and butterfly: tale of two cousins lucy foster madison 2 which deta…
A. the sun rays rippling through the apple orchard as the girls race through the pathway of blue violets
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4. △bcd ~ △fge; find fe
28
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prism a and prism b are rectangular prisms. . prism a is 3 inches by 2 …
A. They have the same volume. B. They have the same number of faces. E. The surface area of Prism B is greater than that of Prism A.