Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find an equation of the line graphed below. write your answer in the sl…
$y = 3x + 2$
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statement about translated figures the final angle measures are larger …
1. False 2. True 3. True 4. True
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4. name the image * ray a b mark only one oval line ab line segment ab …
Ray BA
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statement about translated figures the final side lengths are the same …
1. True 2. True 3. True 4. False
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are the triangles below acute, obtuse, or right? triangle a triangle b …
Triangle A: Right Triangle B: Obtuse Triangle C: Acute Triangle D: Obtuse
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sure! lets create a problem related to a sphere, which is another shape…
A. $\frac{4\pi}{3}$
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draw the reflection of the following triangle over the line m.
To draw the reflection of the triangle over the line \(m\): 1. For each vertex of the triangle, measure the perpendicular distance from the vertex to the line \(m\). 2. On the opp…
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the figure below shows a semicircle joined to a rectangle with distance…
H. $24 + 2\pi$
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let $u = \\langle5, - 12\ angle$ and $c=-3$. what is $\\|cu\\|$? 51 39 …
39
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reflect (3, - 6) across the x - axis. then reflect the result across th…
(-3,6)
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reflect (-7, 5) across the x - axis. then reflect the result across the…
(-7, 5)
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give the coordinates of the point obtained from each reflection. (a) re…
(a) $(0,6)$ (b) $(0, - 6)$
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which inequality symbol has a closed circle?
$\leq$
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graph the image of △pqr after a rotation 90° counterclockwise around th…
Graph the new triangle formed by the rotated points using the rule $(x,y)\to(-y,x)$ for each vertex of $\triangle PQR$.
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given right triangle jkm, which correctly describes the locations of th…
a is the hypotenuse, b is opposite, c is adjacent
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multiple choice 1 point which transformation of $overline{oa}$ would re…
A. A translation of two units down
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given right triangle pqr, which represents the value of sin(p)? o $\fra…
$\frac{RQ}{PQ}$
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complete the proof that m∠svw + m∠tsv = 180°. statement reason 1. (over…
2. Corresponding Angles Theorem; 3. Angles forming a linear pair sum to $180^{\circ}$; 4. Substitution property of equality.
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using the side lengths of △pqr and △stu, which angle has a sine ratio o…
$\angle P$
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question find the slope of segments $overline{ab}$ and $overline{xy}$. …
Slope of AB = 7 Slope of XY = -7 Neither
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complete the proof that ∠tuz≅∠sxy. statement\treason 1 (overleftrightar…
4. Vertical Angles Theorem 5. Transitive Property of Congruence
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find the values of x, y, and z. answer attempt 1 out of 2 x = y = z =
\(x = 30\) \(y = 120\) \(z = 80\)
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use your completed table in your main notebook to match some of the cor…
Point K - a. Point A Segment ON - b. Segment ED ∠NOP - c. ∠DEF
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use your completed table in your math notebook to match some of the cor…
Point \(P\) - c. Point \(F\) Segment \(LM\) - b. Segment \(BC\) \(\angle KLM\) - a. \(\angle ABC\)
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angle bisectors 6. if $overrightarrow{bx}$ bisects $angle abc$, $mangle…
6. $x = 5$, $m\angle ABX = 25$, $m\angle ABC = 50$ 7. $x = 11$, $m\angle JKL = 56$ 8. $x = 15$, $m\angle MNO = 48$ 9. $x = 15$, $m\angle1 = 25$ 10. $x = 14$, $m\angle4 = 50$
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ad in figure abcd corresponds to which line - segment in figure pqrs? a…
B. $\overline{PS}$
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which of the following angle pairs are same side interior angles?
\(\angle5\) and \(\angle9\), \(\angle6\) and \(\angle10\), \(\angle7\) and \(\angle11\), \(\angle8\) and \(\angle12\)
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quadrilateral a has side lengths 2, 3, 5, and 6. quadrilateral b has si…
Quadrilateral C
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m∠2 = 6x - 28 m∠8 = 3x + 50 what is the measure of ∠2?
$128$
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question 5 quadrilateral a has side lengths of 9, 24, 18, and 12 units.…
A. 21 units
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circle the correct sentence. example: china in asia. / china is in asia…
1. You are happy. 2. I am friendly. 3. January and February are cold. 4. It is hot today. 5. My mother is from Chicago. 6. They are from Mexico. 7. It is 4:45 p.m. 8. He is 25 yea…
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question $m\\angle2 = 6x - 28$ $m\\angle8 = 3x + 50$ what is the equati…
$6x - 28=3x + 50$
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complete the proof that ∠tuz≅∠sxy. statement\treason 1\ttv || gi 2\twy …
1. Given 2. Given 3. Corresponding angles of parallel lines are congruent 4. Vertical angles are congruent 5. Transitive property of congruence
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vx || su. complete the proof that ∠tw v ≅ ∠utw. statement reason 1 vx |…
3. Reason: Vertical Angles are Congruent; 4. Reason: Transitive Property of Congruence
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rectangles p, q, r, and s are scaled copies of one another. for each pa…
Less than 1: From R to P, From S to P Greater than 1: From Q to R Equal to 1: None (not given in the answer - bank pairs)
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question find the midpoint of the segment with the following endpoints.…
$(7,-1)$
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complete the proof that m∠prq + m∠tuw = 180°. 1. (overleftrightarrow{tv…
3. Linear - Pair Postulate; 4. Substitution Property of Equality
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remi says that figure b is a scaled copy of figure a because all of the…
B. No, I disagree with Remi, because figure B is half as tall as figure A, but it is not half as wide.
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question 2 listen match each vocabulary term below with the appropriate…
"a copy of a figure where every length in the original figure is multiplied by the same number" - c. scaled copy "the number you multiply each side by in an original to find the l…
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match each scale factor with the appropriate figure. press the arrows t…
First figure: b. \(\frac{1}{5}\) Second figure: c. 1 Third figure: a. 4
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complete the proof that ∠vuw≅∠prq. statement reason 1 qs || tv given 2 …
2. Alternate interior angles are congruent when two parallel lines are cut by a transversal 3. Vertical angles are congruent 4. Transitive property of congruence
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polygon pqrs is a scaled copy of the original polygon abcd. what is the…
B. 3
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what happened to the shark who swallowed a bunch of keys? write the let…
1. E. $y=-5x + 17$ 2. K. $y = 9x+7$ 3. O. $y=x - 3$ 4. O. $y = 36x+12$ 5. A. $x=\frac{1}{7}y$ 6. T. $x=\frac{d}{5 + 10f}$ 7. H. $x=\frac{p}{r - s}$ 8. W. $x=\frac{3j - n}{4k+7m}$ …
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match each vocabulary term below with the appropriate definition. a cop…
1. "a copy of a figure where every length in the original figure is multiplied by the same number" - c. scaled copy 2. "the number you multiply each side by in an original to find…
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two parallel lines, a and b, are cut by transversal p. what is the meas…
D. \(157^{\circ}\)
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rt || fh and fh || uw. complete the proof that m∠qvu + m∠rsx = 180°. st…
1. Given 2. Given 3. Corresponding - angles postulate 4. Same - side exterior angles theorem 5. Substitution property
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find the midpoint of the segment with the following endpoints. (-10, -4…
$(-6,0)$
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11) rotation 90° clockwise about the origin
The new triangle is formed by applying the rule $(x,y)\to(y, - x)$ to each vertex of the original triangle and then plotting the new vertices. If we assume $L(-4,-2)$, $I(-2,-2)$,…
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question what is the slope of the line that is perpendicular to the lin…
$-\frac{8}{5}$
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12) rotation 90° clockwise about the origin
The new triangle after 90 - degree clock - wise rotation about the origin is obtained by applying the rule $(x,y)\to(y, - x)$ to each vertex of the original triangle and then conn…
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wy || tv. complete the proof that ∠vux ≅ ∠uxw. statement\treason 1 wy |…
2. Vertical angles are congruent. 3. Vertical angles are congruent. 4. Transitive property of congruence.
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find the distance between the two points in simplest radical form.
$\sqrt{85}$
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find the distance between the two points in simplest radical form. answ…
$5\sqrt{2}$
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9) rotation 90° counterclockwise about the origin
The new coordinates of the vertices of the triangle after a 90 - degree counter - clockwise rotation about the origin can be found using the rule $(x,y)\to(-y,x)$ for each vertex.
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8. circle all values that are rational numbers. 18 -√75 6 1/14 15/3 √6 …
18, $6\frac{1}{14}$, $\frac{15}{3}$, $\sqrt[3]{64}$, $-0.4$
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k. $sqrt{\frac{9}{16}}$ l. $sqrt3{- 125}$ 8. circle all values that are…
9. always 10. always 11. always 12. sometimes
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find the distance between the points (-1, 5) and (-9, -3). write your a…
# Explicación: ## Paso 1: Identificar la fórmula de distancia La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. ## Pa…
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7) rotation 180° about the origin
The new triangle is obtained by applying the rule $(x,y)\to(-x,-y)$ to each vertex of the original triangle and then connecting the new vertices.
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find the distance between the points (0, 1) and (-7, -4). write your an…
$\sqrt{74}$
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if the point (1,6) is shifted 3 units to the right and 4 units down, wh…
$(4,2)$
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find perimeter of a regular polygon. this is the only question in this …
\(24\sqrt{7}\)
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the midpoint of the line segment from $p_1$ to $p_2$ is $(-5,4)$. if $p…
$(-5,5)$
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when a draftsman draws three lines that are to intersect at one point, …
(a) $(2.0, 2.0)$ (b) $0.825$
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3. (algunos algún) armario d. circle the letter of the answer that best…
1. b. nadie 2. b. nada 3. a. alguien 4. b. nadie 5. a. siempre
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plot each point and form the right triangle abc. verify that the triang…
The sum of the squares of the lengths of the legs of the triangle is $85$. The square of the length of the hypotenuse of the triangle is $85$. The area of the triangle is $10$ squ…
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select a setting so that each given point will lie within the viewing w…
Xmin=-10, Xmax = 130, Xscl = 10, Ymin=-10, Ymax = 110, Yscl = 10
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select a setting so that each given point will lie within the viewing w…
The first option with \(X_{min}=-10\), \(X_{max}=130\), \(Y_{min}=-10\), \(Y_{max}=110\), \(X_{scl}=10\), \(Y_{scl}=10\)
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name questions: the september 11th circle the correct answer. 1. on sep…
1. B. the U.S. was attacked by terrorists 2. C. as weapons 3. B. Shanksville, Pennsylvania 4. D. all of the above 5. D. nearly 3000
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graph this function. f(x)=\begin{cases}\frac{2}{3}x + 3&\text{if }-6 < …
Plot points based on above - open circle at $(-6,-1)$, open circle at $(-3,1)$, closed circle at $(-3,3)$, closed circle at $(4,-4)$ and draw line segments for each part of the pi…
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graph this function. f(x)=\begin{cases}-2x - 5&\text{if }xleq - 1\\2x&\…
Plot points $(-2,-1),(-1,-3)$ (closed - circle for $x\leq - 1$), $(0,0),(1,2)$ (open - circle for $x=-1$ in the $x > - 1$ part).
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is the author of the article suggesting that the spread of islam was in…
D. Yes; There were several technical innovations that came with Islam such as writing, numbers, mathematics, measurements and weights. Muslim travelers and writers made valuable r…
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unit 1 end - of - unit assessment: rigid transformations student instru…
You need to perform the above - described transformations on the given triangle \(A\) on the coordinate grids to draw triangles \(B\), \(C\), \(D\), and \(E\) respectively.
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using the graph, determine the coordinates of the y - intercept of the …
(0, - 2)
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using the graph, determine the coordinates of the x - intercepts of the…
(-3, 0), (1, 0)
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using the graph, determine the coordinates of the vertex of the parabol…
(5, - 1)
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consider the figure below. given: ∠a = 6x + 19 ∠b = 4x - 3
1. **Explanation**: - **Step 1: Identify the relationship between the angles** - Since the two - angles \(A\) and \(B\) are complementary (as they form a right - angle, \(90^{\cir…
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graph the image of kite klmn after a reflection over the x - axis.
Graph the new kite with vertices obtained by applying the $(x,y)\to(x, - y)$ rule to the original vertices of kite $KLMN$.
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graph the image of kite tuvw after a reflection over the x - axis.
Graph the new kite with vertices obtained by reflecting the original vertices over the $x -$axis using the rule $(x,y)\to(x, - y)$.
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graph the image of kite tuvw after a reflection over the x - axis.
Plot the points obtained by applying the $(x,y)\to(x, - y)$ rule to each vertex of the kite TUVW on the coordinate - plane and connect them to form the reflected kite.
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graph the image of kite tuvw after a reflection over the x - axis.
# Explanation: ## Step1: Recall reflection rule The rule for reflecting a point $(x,y)$ over the $x - axis$ is $(x,-y)$. ## Step2: Identify vertices of kite Let's assume the coord…
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graph the image of △stu after a reflection over the line y = -2.
Graph the points $S'(3,-6)$, $T'(3,-8)$, $U'(6,-8)$ and connect them to get the image of $\triangle STU$ after reflection over the line $y=-2$.
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graph the image of rectangle tuvw after a reflection over the line x = …
Graph the rectangle with vertices $(10,-5)$, $(6,-5)$, $(6,3)$, $(10,3)$ on the given coordinate - grid.
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name 2-2 additional practice proving lines parallel use the figure for …
1. $d\parallel e$, Corresponding Angles Postulate 2. $s\parallel t$, Alternate Interior Angles Theorem 3. $s\parallel t$, Alternate Exterior Angles Theorem 4. $d\parallel e$, Same…
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21 exprime laire totale du prisme droit représenté ci - dessous sous la…
$2^{8}$ cm²
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graph the image of △cde after a reflection over the x - axis.
Graph the points $C'(-7,-6)$, $D'(3,-6)$ and $E'(-7,-3)$ and connect them to get the image of $\triangle CDE$ after reflection over the $x -$axis.
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the midpoint m and one endpoint of cd are given. find the coordinates o…
7. $(3,12)$ 8. $(-4,9)$ 9. $(-12,18)$
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graph the image of rhombus cdef after a reflection over the line x = 1.
Graph the points $(-4,1)$, $(-4,6)$, $(-7,9)$, $(-7,4)$ and connect them to form the reflected rhombus.
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polygon on the coordinate plane. 6. w(-4,4) x(2,4) z(-4,1) y(2,1) p = _…
$P = 18$ $A = 18$
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directions: find the perimeter and area of each 5. a(-3,-1) b(2,-1) c(2…
$P = 8+\sqrt{34}$, $A = 7.5$
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directions: find the perimeter and area of each polygon on the coordina…
(Answers vary for each polygon. Need to calculate side - lengths and use area formulas for each one separately.)
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the diagram below shows a partly completed construction of the midpoint…
Follow the above steps to complete the construction of the mid - point of $\overline{AB}$.
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the diagram below shows a partly completed construction of the midpoint…
Follow the above three - step construction process to find the mid - point of $\overline{AB}$.
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solve the inequality. -1 ≤ -2d + 7 < 10 solution : graph the solution.
$-\frac{3}{2}\lt d\leq4$; The graph has an open - circle at $-\frac{3}{2}$ (because $d>-\frac{3}{2}$) and a closed - circle at 4 (because $d\leq4$) with a line segment connecting …
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solve 2r - 8 > $\frac{3}{4}(r - 6)$. solution: graph the solution.
$r>\frac{14}{5}$; The graph should have an open - circle at $\frac{14}{5}$ (or $2.8$) and an arrow pointing to the right.
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solve 36 < 2q. the solution of the inequality is . graph the solution.
$q>18$; For graphing, on the number - line, use an open circle at 18 (because 18 is not included in the solution set) and draw an arrow to the right to represent all numbers great…
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line segment yv of rectangle yvwx measures 24 units. what is the length…
D. $12\sqrt{3}$ units
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consider triangle ghj. what is the length of line segment hj? 5 units 5…
B. \(5\sqrt{3}\) units
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the hypotenuse of a 45 - 45 - 90 triangle measures 18 cm. what is the l…
B. $9\sqrt{2}$ cm
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solve -4 ≤ $\frac{g}{5}$. the solution of the inequality is . graph the…
$g\geq - 20$ The graph of the solution on the number - line has a closed circle at - 20 (because the inequality includes equality, $\geq$) and the line extends to the right. The c…
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which triangle is a 30° - 60° - 90° triangle?
The triangle with side - lengths 5, $5\sqrt{3}$, 10 is a 30° - 60° - 90° triangle.