幾何
三角形、円、座標幾何、証明問題。
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7. geometry the length of a rectangle is 2 feet more than its width. fi…
Length = 9 feet, Width = 7 feet
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the endpoints of the directed line - segment nv are n(-14,9) and v(10,-…
# Explicación: ## Paso 1: Usar la fórmula de la seccionación de segmento La fórmula para encontrar las coordenadas de un punto que divide un segmento de línea con extremos $(x_1,y…
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1. to remember your converses, inverses, and contrapositives, learn thi…
a. $m\angle1 = 59^{\circ}$ b. $m\angle2 = 75^{\circ}$ c. $m\angle3 = 121^{\circ}$ d. $m\angle4 = 59^{\circ}$ e. $m\angle5 = 59^{\circ}$ f. $m\angle7 = 121^{\circ}$ g. $m\angle8 = …
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use reference angles to find the exact value of the following expressio…
A. $\sin\frac{4\pi}{3}=-\frac{\sqrt{3}}{2}$
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6. find the value of x. 7. solve for y. 8. find the value of x. 9. solv…
\(x=\frac{16}{3}\), \(y=\frac{250}{7}\)
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part b. a cylinder has a volume of 100 cm³ and a radius r of 5cm. what …
$\frac{4}{\pi}\ cm$
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question given m || n, find the value of x and y.
$x = 2$, $y = 174$
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given m || n, find the value of x.
$x = \frac{40}{3}$
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given m || n, find the value of x. 97° (6x + 17)°
# Explicación: ## Paso 1: Aplicar el teorema de ángulos correspondientes Como \(m\parallel n\), los ángulos de \(97^{\circ}\) y \((6x + 17)^{\circ}\) son ángulos correspondientes …
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given m || n, find the value of x. answer attempt 1 out of 2 x =
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos de $97^{\circ}$ y $(6x + 17)^{\circ}$ son ángulos correspondientes ya que $m\parallel n$. Los ángulos co…
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given m || n, find the value of x and y. answer attempt 1 out of 2 x = …
# Explicación: ## Paso 1: Aplicar ángulos correspondientes Los ángulos $(4x + 6)^{\circ}$ y $(5x-1)^{\circ}$ son ángulos correspondientes y son iguales porque $m\parallel n$. Ento…
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in the graph below, △jkl is the image of △jkl after a dilation. what ar…
scale factor: $\frac{1}{3}$ center of the dilation: $(-5,3)$
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21. the formula for the space diagonal of a rectangular prism is: a. (l…
D. $\sqrt{l^{2}+w^{2}+h^{2}}$
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20. in a triangle with sides 6, 8, and 10, is this a right triangle? a.…
B. Yes
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19. if a ladder reaches 12 feet up a wall and the base is 5 feet from t…
B. 13 feet
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18. according to the pythagorean theorems converse, if a = 5, b = 12, a…
A. Right triangle
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17. which statement correctly defines the converse of the pythagorean t…
D. If $a^{2}+b^{2}=c^{2}$, then the triangle is a right triangle.
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15. in a triangular park, two sides measure 9 meters and 12 meters. if …
D. 15 meters
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14. what is the hypotenuse of a right triangle with legs of 7 units and…
A. 25 units
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13. which of the following real - world applications would not use the …
d. Cooking
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13. which of the following real - world applications would not use the …
d. Cooking
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which angles are alternate exterior angles? ∠rqo and ∠utv ∠rqo and ∠stv…
$\angle RQO$ and $\angle UTV$
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11. what is the distance formula used for calculating the distance betw…
B. Distance = $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
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given (lparallel mparallel n), find the value of (x). (9x - 6)° (6x + 6…
# Explicación: ## Paso 1: Aplicar el teorema de ángulos correspondientes Como \(l\parallel m\parallel n\), los ángulos \((9x - 6)^{\circ}\) y \((6x + 6)^{\circ}\) son ángulos corr…
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10. if the distance between points a (2, 3) and b (6, 3) is calculated,…
d. 4
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given m||n, find the value of x. parallel lines and transversal 10% cre…
$x=-2$
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question 1-9. a certain plant grows to a height that is greater than 2 …
The possible values for the height of the plant are all real numbers \(h\) such that \(2 < h\leqslant8\). On a number - line, we represent this with an open circle at \(2\) and a …
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9. a drone flies from (1, 1) to (4, 5). using the distance formula, cal…
D. $\sqrt{25}$ units
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8. what is the sum of the measures of two same - side interior angles? …
c. 180 degrees
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which angles are vertical angles? ∠mln and ∠kli ∠mln and ∠mli ∠mln and …
$\angle MLN$ and $\angle JIG$
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given m || n, find the value of x and y. 59° m y° x° n answer x = y =
# Explicación: ## Paso 1: Usar ángulos correspondientes Como \(m\parallel n\), el ángulo de \(59^{\circ}\) y \(x^{\circ}\) son ángulos correspondientes, entonces \(x = 59\). ## Pa…
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7. an engineer is designing a support structure in the shape of a right…
a. 20 meters
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which angles are alternate exterior angles? ∠pqo and ∠stv ∠stv and ∠rqo…
$\angle PQO$ and $\angle STV$
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which angles are adjacent angles? ∠rqo and ∠pqo ∠pqt and ∠rqo ∠stq and …
$\angle RQO$ and $\angle PQO$
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which of the following scenarios best represents analytical intelligenc…
picking apart arguments
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6. if one leg of a right - triangle is 5 units and the hypotenuse is 13…
B. 12 units
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which angles are vertical angles?
$\angle RQT$ and $\angle PQO$
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which angles are adjacent angles? ∠lmk and ∠opr ∠qpm and ∠opm ∠lmk and …
$\angle QPM$ and $\angle OPM$
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practice test - solving equatio. solve each equation. show your work an…
$m = 9$
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given m||n, find the value of x. answer x =
# Explicación: ## Paso 1: Identificar el tipo de ángulos Los ángulos $x$ y $148^{\circ}$ son ángulos correspondientes ya que $m\parallel n$. Los ángulos correspondientes son igual…
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which angles are consecutive interior angles? ∠kjm and ∠ijm ∠lmj and ∠k…
$\angle KJM$ and $\angle NMJ$
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hj and km are parallel lines. which angles are adjacent angles? ∠kln an…
$\angle KLN$ and $\angle MLN$
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question 1-4 graph the solution to the inequality on the number line. f…
On the number line, use an open circle at $x=-4$ and a closed circle at $x = - 1$ and draw a line segment between them.
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5. which of the following pairs of angles are equal when two parallel l…
b. Alternate interior angles
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4. a triangle has legs of 7 and 24 and the hypotenuse is 25. is it a ri…
A. Yes
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directions: complete the following questions by showing all work and an…
a. \(x = 5\) b. m∠M = 65° c. Scalene right - triangle
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3. if two angles measure 2x + 10 and 3x + 5 and are supplementary, find…
a. 33
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2. if two corresponding angles are 75 degrees each, what type of lines …
c. Parallel lines
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qq and rt are parallel lines. which angles are corresponding angles? ∠q…
$\angle QPS$ and $\angle TSU$
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the diagram shows two parallel lines cut by a transversal. a. look for …
# Explicación: ## Paso 1: Identificar relaciones de ángulos Al observar líneas paralelas cortadas por una transversal, hay varios tipos de relaciones de ángulos. Los ángulos corre…
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1. a rectangular field has corners at (0, 0), (0, 4), (6, 0), and (6, 4…
d. \(\sqrt{52}\) units
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13. which of these points lies in quadrant ii of the coordinate plane? …
d. (-4,6)
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12. if points are plotted at (1,2), (5,2), and (3,4), which tool in geo…
b. Polygon tool
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eg and hj are parallel lines. which angles are adjacent angles? ∠hf and…
$\angle HFI$ and $\angle IFJ$
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11. a hiker starts at (2, 3) and ends at (6, 7). using the distance for…
C. $\sqrt{32}$ units
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10. which axis is the horizontal axis on a coordinate plane? a. x - axi…
A. x - axis
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9. what are the coordinates of a point? a. a pair of numbers indicating…
A. A pair of numbers indicating position
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8. what is the term for the longest side of a right triangle? a. hypote…
A. Hypotenuse
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7. how can the distance formula help athletes? a. by choosing their die…
c. By tracking their running distances
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6. in which scenario might engineers use the distance formula? a. writi…
c. Building a bridge
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which angles are supplementary angles? ∠jkh and ∠ghf ∠jkh and ∠lkh ∠jkh…
∠JKH and ∠LKH
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5. which geometric shape requires knowing the distance formula to calcu…
a. Rectangle
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example 2 complete a cartesian plane for the table of values given belo…
Points (0, - 3), (1, - 2), (2, - 1), (3, 0), (4, 1) are plotted on the Cartesian plane.
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4. if point a is at (2,3) and point b is at (5,7), what is the distance…
A. 5
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3. a cyclist travels between points (3, 4) and (7, 1). what is the dist…
A. $\sqrt{25}$ units
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2. what quadrant is the point (-5, -6) located in? a. quadrant iv b. qu…
c. Quadrant III
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jl and mo are parallel lines. which angles are adjacent angles? ∠mnp an…
$\angle MNP$ and $\angle MNK$
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look at this graph: what is the y - intercept?
0
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athletes use the distance formula to track their during training. engin…
1. Progress 2. Precision 3. Distance
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match each compound inequality on the left to the graph that represents…
$-5x + 9 < - 6$ or $-3x + 1\geq7$ matches the graph with a closed - circle at $x=-2$ and an open - circle at $x = 3$. $-6x > - 18$ and $1\leq2x + 5$ matches the graph with a close…
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look at this graph: what is the equation of the axis of symmetry?
$x = 0$
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after subtracting the coordinates, the next step is to the differences.…
1. square 2. square - root 3. maps, layouts 4. shortest
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look at this graph: what is the maximum value of this function?
2
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the given figure consists of a parallelogram and a square. the base of …
27 square centimeters
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solve the area of a triangle formula for the variable (b): (a=\frac{1}{…
$b=\frac{2A}{h}$ (corresponding to the third option in the multiple - choice)
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the equation of the circumference of a circle is c = 2πr, where r is th…
The circumference is 11.9 cm.
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the formula used to find the straight - line distance between two point…
1. distance formula 2. Pythagorean 3. straight - line distance 4. corresponding coordinates
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which graph shows the inequality x ≥ 0?
The first graph (the one with a closed - circle at 0 and an arrow pointing to the right) shows the inequality $x\geq0$.
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a 20 - foot - long footbridge has two diagonal supports that meet in th…
$23.7$
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what are the exact values of a and b? a b c 30° 10 b o a = 5, b = 10√3 …
\(a = 5,b = 5\sqrt{3}\) (last option)
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identify the hypothesis and conclusion for the conditional statement. t…
Hypothesis (H): A figure is a circle. Conclusion (C): Its area is $\pi r^{2}$. If - then form: If a figure is a circle, then its area is $\pi r^{2}$.
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consider circle o, in which arc xy measures 16π cm. the length of a rad…
Circumference: $64\pi$ cm Ratio of arc length to circumference: $\frac{1}{4}$ Measure of central angle XOY: $90^{\circ}$ or $\frac{\pi}{2}$ radians
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answer each question and round your answer to th 13) a statue that is 1…
20 m
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identify the hypothesis and conclusion for the conditional statement. t…
H: two planes intersect C: the intersection is a line If two planes intersect, then the intersection is a line.
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prove ∠1 ≅ ∠5 statements reasons 1 m || n given 2 ∠1 ≅ ∠7 alternate ext…
D. ∠7≅∠5
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transversal $overleftrightarrow{cd}$ cuts parallel lines $overleftright…
B. $115.64^{\circ}$
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look at this diagram: if (overrightarrow{oq}) and (overrightarrow{rt}) …
$47$
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statement | reason 1. $overleftrightarrow{dg}perpoverline{ac}$ | given …
C. Transitive Property of Equality
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yk\\jq 2. y (5x - 15)° (4x + 6)° (3x + 27)° k j
\(x = 21\)
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given: see the diagram. prove: dc = de statement reason 1. $overleftrig…
The proof that $DC = DB$ is completed by using the property of the perpendicular bisector (a point on the perpendicular bisector of a line - segment is equidistant from the endpoi…
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consider circle c with radius 5 cm and a central - angle measure of 90°…
Fraction of the whole circle that arc $RS$ is: $\frac{1}{4}$ Approximate circumference of the circle: $31.4$ cm Approximate length of arc $RS$: $7.85$ cm
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look at this graph: what is the y - intercept? work it out
0
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g r (3x + 13)° (5x - 25)° (x + 66)° (4x - 6)° m w grwm __________
Rectangle
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in the diagram, transversal (l) cuts parallel lines (a) and (b). which …
B. $m\angle3 = m\angle6$
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look at this diagram. if qs and tv are parallel lines and m∠qpu = 44°, …
$44$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
$133$
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look at this diagram: if (overrightarrow{fh}) and (overrightarrow{ik}) …
$114$
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name pumpkin decoration transformations transform each figure as instru…
The transformed figures should be drawn on the answer sheet according to the rules: translations (add/subtract values to x or y coordinates), rotations (use specific coordinate - …
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look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarr…
$139$
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$140$