Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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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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line a has a slope of $\frac{7}{8}$. line b has a slope of $\frac{7}{8}…
parallel
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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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5. which of the following pairs of angles are equal when two parallel l…
B. Alternate interior angles
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determine if triangle ijk and triangle lmn are or are not similar, and,…
The triangles $\triangle IJK$ and $\triangle LMN$ are similar. We know this by the Side - Angle - Side (SAS) similarity criterion because the ratios of the corresponding sides are…
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line gh contains points g(-2, 6) and h(5, -3). what is the slope of $ov…
$-\frac{9}{7}$
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find the value of x.
45
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find the surface area of this cube. be sure to include the correct unit…
$54\text{ in}^2$
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in the diagram of circle c, what is the measure of ∠1? 17° 35° 70° 71°
$35^{\circ}$
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there is a pair of parallel sides in the following shape. what is the a…
15
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what is the value of y?
\(77\)
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find the perimeter of the figure below. notice that one side length is …
58 yd
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find the measure of angle 3.
\(116^{\circ}\)
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read the passage. a community park it was friday, and as she walked hom…
The reader would have a more direct experience of Samara's thoughts and feelings.
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question 9 of 10 what is the approximate area of the shaded sector in t…
D. $283\ cm^{2}$
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in the figure below, m∠1 = 5x° and m∠2=(x - 6)°. find the angle measure…
$m\angle1 = 80^{\circ}$ $m\angle2 = 10^{\circ}$
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multiple choice: completely fill in the circle next to the best answer.…
11. Present participle 12. Gerund 13. Past participle 14. Perfect participle 15. Present participle 16. Gerund 17. Subject of a gerund 18. Adverb modifying a gerund 19. Gerund use…
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in the figure, $overrightarrow{cj}$ and $overrightarrow{cr}$ are opposi…
$63$
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the figure shown is a rhombus. which equation is true regarding the ang…
\(x + y=z\)
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which equation is correct regarding the measure of ∠mnp? ○ (mangle mnp=…
$m\angle MNP=\frac{1}{2}(x - y)$ (the first option)
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which sentence uses an apostrophe correctly in a plural possessive noun…
The basketball players’ lockers will be cleaned out on Friday. The United States’ national anthem is “The Star - Spangled Banner.”
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the figure below is dilated by a factor of 1/2 centered at the origin. …
Plot the points $(-3,3)$, $(3,1)$, $(2,-2)$, $(3,-3)$, $(-4.5,0)$ and connect them to form the dilated figure.
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find the exact value of each of the six trigonometric functions of θ, i…
$\sin\theta=-\frac{\sqrt{2}}{2}$ $\cos\theta=\frac{\sqrt{2}}{2}$ $\tan\theta=-1$ $\csc\theta=-\sqrt{2}$ $\sec\theta=\sqrt{2}$ $\cot\theta=-1$
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which best explains the mesopotamian practice of placing ziggurats at t…
B. Leaders valued religion and wanted a prominent place to pay tribute to local gods
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in the figure below, points f, c, b, and a lie in plane x. points d and…
(a) $\overleftrightarrow{AB}$ (b) $A$ (c) $FCB$ (d) $B$, $C$, $F$
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in the figure below, points f, c, b, and a lie in plane x. points d and…
(a) $\overrightarrow{BD}$ (b) $A$ (or $B$) (c) $FCA$ (d) $B$, $C$, $F$
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2. find the area:
$24$ square feet
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suppose abc is a right triangle with sides a, b, and c and right angle …
The unknown side length b is $12$. $\sin B=\frac{12}{13}$ $\cos B=\frac{5}{13}$ $\tan B=\frac{12}{5}$ $\csc B=\frac{13}{12}$ $\sec B=\frac{13}{5}$ $\cot B=\frac{5}{12}$
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solve for a and b answer attempt 1 out of 3 a = b =
$a = 7\sqrt{2}$ $b = 7\sqrt{2}$
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the diagram shows a triangle. what is the value of u? u =
110
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which diagram is a net for the cube? what is the surface area of the cu…
2400
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find the area of this parallelogram. be sure to include the correct uni…
$126$ $cm^{2}$
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hallar el área y la longitud de la circunferencia de un círculo cuyo di…
Área: $28.26$ yd² Longitud de la circunferencia: $18.84$ yd
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three pins are inserted into a cork mat at points c, e, and d. the thre…
$3.8$ inches
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what is the volume of this sphere? round your answer to the nearest hun…
$2144.66$
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what is the relationship between ∠m and ∠n? choose 1 answer: a vertical…
C. Supplementary angles
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the sss congruence theorem quick check what does the sss congruence the…
If two triangles have three pairs of congruent sides, then the triangles are congruent.
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in the figure below, x lies between w and y. find the location of x so …
$19$
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find the area of this parallelogram. be sure to include the correct uni…
$143$ ft²
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write the standard form of the equation and the general form of the equ…
Standard form: $(x - 3)^2+(y - 4)^2=25$ General form: $x^{2}+y^{2}-6x-8y=0$
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find the center and radius of the circle. write the standard form of th…
Center: $(7.5,8)$; Radius: $4.5$; Standard form: $(x - 7.5)^2+(y - 8)^2=20.25$
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problem 5: complete this sentence with the best of the choices given. i…
If parallel lines are cut by a transversal, **interior; supplementary** angles on the same side of the transversal are.
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which of the following is the graph of this inequality? x < 1
The graph with the open circle at 1 and the arrow pointing to the left.
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figure 1 and figure 2 below are congruent. which side corresponds to si…
$\overline{MN}$
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look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarr…
$66.7^{\circ}$
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review the four points shown on the polar coordinate system. which poin…
point A
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calcular el área de superficie de este prisma rectangular. incluir las …
122 in²
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what is the measure of ∠x? angles are not necessarily drawn to scale.
33
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use the statements to write a compound statement for the conjunction or…
\(2 + 8>10\) or vertical angles are congruent; \(r\) is false, and \(q\) is true, so \(r\vee q\) is true.
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in the diagram, ab and ec are perpendicular. if m∠heb=(9x)° and m∠ceh=(…
# Ex[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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determine the intercepts from the graph below. enter the x - intercept …
\((2,0)\)
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which pairs of figures below are congruent? congruent? yes no congruent…
First pair: Yes Second pair: No Third pair: No Fourth pair: No
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in the figure, ca and ce are opposite rays, ch bisects ∠gcd, and gc bis…
$180$
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let x represent one quantity. state what that quantity represents. expr…
\(4x-2\)
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let $\theta$ be an angle in standard position. name the quadrant in whi…
A. III
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6. find the surface area of the square pyramid.
64 square feet
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decide whether there is enough information to prove m||n. if so, state …
No You cannot prove \(m\parallel n\).
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solve each of the following right triangles for all missing angle sizes…
\(\angle B = 61^{\circ}\), \(b\approx57.7\), \(c\approx66.0\)
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the flag of a country contains an isosceles triangle. (recall that an i…
The first angle is $\frac{155}{3}\approx51.67^{\circ}$, the second angle is $\frac{155}{3}\approx51.67^{\circ}$, and the third angle is $\frac{230}{3}\approx76.67^{\circ}$
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determine if the triangles are similar. if so, state the postulate or t…
The triangles are not similar.
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are these shapes similar? work it out not feeling ready yet? these can …
yes
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are these shapes similar? yes no
no
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find the area of the figure below.
110
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are these shapes congruent?
yes
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are these shapes congruent? work it out not feeling ready yet? these ca…
yes
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use the graph of y = f(x) to answer the questions. complete parts a thr…
-6,6
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how was figure a transformed to become figure a\? 1. ? 2. reflect dilate
1. Reflect 2. Across the y - axis
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3. the length of a rectangle is $\frac{w + 3}{w^{2}+w - 12}$ and the wi…
$\frac{w + 3}{(w-3)^{2}}$
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given the preimage y(-7,7) and coordinate notation (x,y)→(y,-x) to desc…
$Y'(7,7)$