Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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1. name the angle pair relationship between $\\angle 1$ and $\\angle 7$…
4. ∠5 and ∠7: Vertical Angles 5. $m\angle5 = m\angle7$ 6. ∠6 and ∠8 are vertical angles, so $m\angle6 = m\angle8$. Since $m\angle5 + m\angle6 = 180^\circ$ and $m\angle7 + m\angle8…
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an isosceles right triangle has legs of equal length. if the hypotenuse…
$11\sqrt{2}$
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select the correct answer which statement best defines an angle? a. two…
A. two rays that share a common endpoint called the vertex
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18 which greek mathematician wrote the most definitive text on geometry…
C. Euclid
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select the correct answer which statement best defines a circle? a. the…
B. the set of all points in a plane that are the same distance from a given point called the center
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prove: $angle 1 cong angle 3$ complete the proof line l and line m inte…
The filled proof flow is: 1. Given: Line \( l \) and line \( m \) intersect 2. Linear Pair Theorem: \( \angle 1 \) is supplementary to \( \angle 2 \) 3. Linear Pair Theorem: \( \a…
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what is $m\\angle1$? $m\\angle1=\\square^\\circ$
$42$
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current skill $write the domain as an inequalitywrite the range as an i…
Domain inequality: $x > 0$ Range inequality: $y < 2$
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in your own words, describe a situation in your own life that involves …
### Part A: I use a rectangular study desk daily. This quadrilateral has 4 right (90°) angles, opposite sides equal, length = 120 cm, width = 60 cm. I do not know the length of it…
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in $\triangle xyz$, $angle y=90^\\circ$ and $angle x=53^\\circ$. $angle…
119
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in $delta xyz$, $angle y=90^circ$ and $angle x=68^circ$. $angle zwy=80^…
9.23
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1. a parking space is in the shape of a parallelogram. the figure below…
$\angle A = 100^\circ$, $\angle C = 100^\circ$, $\angle D = 80^\circ$
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question 8 (10 points) listen who sings a song about an olympian love t…
Demodocus
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ened to mr. meter when mrs. mother flew in for a visit? containing each…
Figure 2: $60\ \text{m}^2$ Figure 3: $11.52\ \text{cm}^2$ Figure 5: $39.06\ \text{cm}^2$ Figure 6: $1.26\ \text{m}^2$ Question 8: $40.5\ \text{cm}^2$ Question 10: $15\ \text{cm}$
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quinto período. lee. read. la persona especial. lee. read the interview…
1- Anthony va a cumplir siete años. Falso 2- Él quiere comer más saludable. Cierto 3- Él prefiere ver béisbol en la televisión. Falso 4- Su mes favorito es diciembre, porque es in…
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i. find the perimeter and the area of each parallelogram.①5 in.4 in.8 i…
### Part I (Perimeter | Area) 1. 26 in | 32 in² 2. 56 m | 180 m² 3. 17.4 cm | 16.32 cm² 4. 380 ft | 8100 ft² 5. 31.6 cm | 39.06 cm² 6. 5.4 m | 1.26 m² ### Part II 7. 70 in² 8. 40.…
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in the diagram below, $\triangle nml sim \triangle kmj$. find $h$. writ…
10 meters
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find $n$. write your answer as a whole number or a decimal. do not roun…
8 ft
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which statements are true? select three options. the line $x = 0$ is pe…
The line $x = 0$ is perpendicular to the line $y = -3$. All lines that are parallel to the y-axis are vertical lines. The equation of the line perpendicular to the y-axis that pas…
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line $jk$ passes through points $j(-3, 11)$ and $k(1, -3)$. what is the…
B. $7x + 2y = 1$
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worksheet: circumference of a circle 1. what is the formula for the cir…
1. $C = 2\pi r$ 2. $10\pi$ cm 3. $12\pi$ inches 4. The circumference doubles. 5. 5 meters 6. 62.8 cm 7. 18 feet 8. The circumference of a circle is equal to $\pi$ multiplied by it…
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sketch the graph of each line. 1) $m = -\\frac{2}{3}$ point: $(1, -1)$
The line with equation $y = -\frac{2}{3}x - \frac{1}{3}$ is graphed by plotting $(1, -1)$, using the slope to find additional points, then connecting and extending the line.
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r and u are the midpoints of the legs, $overline{qs}$ and $overline{pt}…
# Explicación: ## Paso 1: Recordar la fórmula de la mediana del trapecio La longitud de la mediana (segmento que une los puntos medios de los brazos de un trapecio) es el promedio…
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if $overline{wx}$ is not parallel to $overline{vy}$, what is $vy$? $vy …
40
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y and v are the midpoints of the legs, $overline{xz}$ and $overline{uw}…
3
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if $overline{fi}$ is not parallel to $overline{gh}$, what is $mangle h$…
$142^\circ$
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w and t are the midpoints of the legs, $overline{rv}$ and $overline{su}…
31
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$\\overline{ru}$ is the midsegment of the trapezoid $pqst$. if $pq = 17…
24
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example 6 decide whether abcde and klqrp are sim solution corresponding…
7. The hexagons in Tile Design 1 are similar. All corresponding angles are congruent (all $120^\circ$ for regular hexagons) and all corresponding sides are proportional, satisfyin…
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5. if $on=5x-7, lm=4x+8, nm=x-6$, and $ol=5y-5$, find the values of $x$…
C. $x=15, y=\frac{14}{5}$ --- ### Problem 9
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quadrilaterals test review sheet 1. find $am$ in the parallelogram if $…
B. 5 --- ### Problem 2
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a parallelogram has one angle that measures 134°. what are the measures…
$134^\circ$, $46^\circ$, and $46^\circ$
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a quadrilateral has two angles that measure 106° and 46°. the other two…
$91^\circ$ and $117^\circ$
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two angles of a quadrilateral measure $163^\\circ$ and $109^\\circ$. th…
$33^\circ$ and $55^\circ$
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one angle of a parallelogram measures 113°. what are the measures of th…
$67^\circ$, $113^\circ$, and $67^\circ$
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quadrilateral vwxy is a rhombus. what is $m\\angle xwy$? $m\\angle xwy …
$61^\circ$
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quadrilateral wxyz is a rhombus. what is the value of v? 3v 5v-62 v =
31
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mathematics instruction: the given are pairs of similar fractions. make…
1. For $\boldsymbol{\frac{2}{2}}$ and $\boldsymbol{\frac{1}{2}}$: - Rectangle split into 2 equal sections. $\frac{2}{2}$ = fully shaded rectangle; $\frac{1}{2}$ = 1 shaded section…
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quadrilateral uvwx is a rhombus. what is uv? $uv = \\square$ submit
18
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quadrilateral hijk is a rhombus. what is $m\\angle hjk$? $m\\angle hjk …
$112$
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a ladder leans against a wall. the bottom of the ladder is 5 feet from …
10 feet
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sugar changed the world, part 3: word choice and multimediapre-test com…
○ "Africans who sold other Africans as slaves insisted on being paid in fabrics from India."
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andy is done with part of a construction, as shown below. juan states t…
Juan is correct; Andy is constructing the circumscribed circle of triangle ABC.
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find the slope of each line and write the equation of each graph. 9. 10.
1. 直线9：斜率为$-\frac{1}{3}$，方程为$y=-\frac{1}{3}x-3$ 2. 直线10：斜率为$\frac{1}{6}$，方程为$y=\frac{1}{6}x+1$
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计算以下图形的周长。 476) 25 cm 18 cm 18 cm 477) 14 cm 10 cm 10 cm 478) 12 cm 12 …
476) 61 cm 477) 34 cm 478) 48 cm 479) 30 cm
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in diagram 1, klm pu is a regular pentagon and mpq is a straight line. …
$62^\circ$
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read the passage from sugar changed the world.if you walked down beekma…
○ "Beekman's trade, for example, could cut out Europe entirely"
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read the passage from sugar changed the world.if you walked down beekma…
○ "Simple enough; but this trade up and down the Atlantic coast was part of a much larger world system."
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press the submit button to see if your choices are correct. the authors…
B. to draw straight lines, E. to make the pieces the right size
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which statement is true about the slope of the graphed line? a. the slo…
B. The slope is positive.
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question prove $\\angle i \\cong \\angle w$ by filling out the flowchar…
To prove $\angle I \cong \angle W$, we follow these steps in the flowchart: 1. **Statement**: $\angle WXV \cong \angle JHI$ **Reason**: All right angles are congruent (given the r…
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find the value of ( x ) and ( y ) in the parallelogram below. answer at…
\( x = -8 \), \( y = -75 \)
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find the value of ( x ), ( y ), and ( z ) in the rhombus below. answer …
\(x = -60\), \(y = -20\), \(z = 120\)
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2. write the surface area formulas for, then solve the surface areas of…
1. Formula: $SA = \pi r^2 + \pi rl$; Surface Area: $1,350.16 \text{ in}^2$ 2. Formula: $SA = 4\pi r^2$; Surface Area: $201.06 \text{ m}^2$ 3. Formula: $SA = 2(lw + lh + wh)$; Surf…
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write the formula, then solve the volume of the following shapes. first…
1. Formula: $V = \frac{1}{3}Bh$; Volume: $4.67\text{ in}^3$ 2. Formula: $V = \pi r^2 h$; Volume: $13,823.01\text{ m}^3$ 3. Formula: $V = Bh$; Volume: $540\text{ cm}^3$ 4. Formula:…
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what is the sum of the measures of the exterior angles of a regular pen…
\(360^\circ\)
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question what is the sum of 9 of the interior angles of a regular dodec…
\( 1350 \)
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figure jklm is a parallelogram. the measures of line segments mt and tk…
7
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question what is the measure of each angle of a regular 22 - gon? if ne…
\( 163.6^{\circ} \)
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figure abcd is a parallelogram. what is the value of x? 6 7 8 9
7
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figure cdef is a parallelogram. what is the value of r? 2 3 4 5
5
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
# Explanation: ## Step1: Identify the conic section type The given equation is \(\frac{x^{2}}{4}+\frac{y^{2}}{9} = 1\), which is in the standard form of an ellipse \(\frac{x^{2}}{…
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level 3 youve worked hard, and youre ready to try your homework again. …
\(\pi\) (pi)
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identifying cause and effect in the twenties choose from the list below…
### Identifying Cause and Effect in the Twenties (causes of the Red Scare): 1. The Communists take over Russia in 1917. 2. The United States experiences heavy immigration during t…
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question what is the sum of the interior angles of a 16 - gon? answer a…
The sum of the interior angles of a 16 - gon is \( 2520^{\circ} \)
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triangle abc is a right triangle and \\(\\cos(22.6^{\\circ})=\\frac{b}{…
First part (value of b): 12 Second part (correct equation): $\boldsymbol{\tan(22.6^\circ) = \frac{a}{12}}$
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which equation can be used to find the measure of angle ljk? \\(\\bigci…
$\boldsymbol{\cos(x) = \frac{10}{15}}$ (Option: $\boldsymbol{\cos(x) = \frac{10}{15}}$)
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given right triangle def, what is the value of tan(f)? 〇 \\(\frac{9}{41…
$\boldsymbol{\frac{40}{9}}$ (corresponding to the third option: $\frac{40}{9}$)
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which statements are true about triangle qrs? select three options. the…
- The side opposite $\angle Q$ is $\overline{RS}$. - The hypotenuse is $\overline{QR}$. - The side adjacent to $\angle Q$ is $\overline{QS}$.
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in the parallelogram shown, ae = t + 2, ce = 3t - 14, and de = 2t + 8. …
48 units
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given right triangle abc, what is the value of tan(a)? $\\frac{5}{13}$ …
$\boldsymbol{\frac{12}{5}}$ (corresponding to the third option: $\frac{12}{5}$)
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practice 4 (from unit 5, lesson 8) technology required. a bagel shop ma…
(a): \( 2.9 \) ### Part (b)
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3 practice 3 find the volume of each solid. give exact answers. a. a cy…
\( 48\pi \) ### Part b
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what postulate or theorem can be used to prove $\\triangle pqr \\sim \\…
Side - angle - side (SAS) similarity theorem
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2 practice 2 match each two - dimensional figure with the solid formed …
A: 3 B: 2 C: 4 D: 1
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2, 0)\), \((-2, 0)\). To draw it, plot these four points…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin with vertices at \((0,3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\) (the actual drawing on the grid connects these p…
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graph each equation. 9) \\(dfrac{x^2}{4} + dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0,-3)\) and co - vertices at \((2,0)\), \((-2,0)\). To draw it, plot these points and sket…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0,3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\). The ellipse is drawn by connecting th…
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which triangle congruence theorem can be used to prove the triangles ar…
SSS
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how are the triangles congruent? options: sss, asa, sas, hl (and there …
HL
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malik and yusuf are farmers. each one owns a 16 - acre plot of land. th…
- Malik's PPF: A straight line connecting the points (256, 0) [max broccoli, 0 spinach] and (0, 128) [0 broccoli, max spinach] using the blue circle symbol. - Yusuf's PPF: A strai…
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below are some examples of things that happened in dantes journey throu…
1. Positive consequence: People who spent their lives studying to become religious scholars joined together in a beautiful circle near the sun. 2. Positive consequence: People who…
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a partial proof was constructed given that mnop is a parallelogram. by …
$\boldsymbol{\angle M \cong \angle O}$ (Note: This corresponds to the logical conclusion matching the "supplements of the same angle" rule; if forced to map to the options provide…
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which equation can be used to find the length of \\(\\overline{ac}\\)? …
$(10)\sin(40^{\circ}) = AC$
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find the missing dimension. use the scale factor 1 : 12. | item | model…
12. 75 in. 13. 15 in. 14. 3.84 m 15. 21.6 yd 16. 17.5 mm 17. The error is inverting the scale ratio in the proportion. The correct actual distance is 100 m.
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consider $\\triangle abc$ and $\\triangle def$ shown below. answer the …
(a) $m\angle C = 108^\circ$ $m\angle F = 108^\circ$ (b) $AB=2$, $BC=1$, $CA=2$ $DE=4$, $EF=2$, $FD=4$ (c) $\frac{AB}{DE} = \frac{1}{2}$, $\frac{BC}{EF} = \frac{1}{2}$, $\frac{CA}{…
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find the value of x. then classify the triangle. (section 7.3) 11. 12. …
11. $x=115$, Obtuse Scalene Triangle 12. $x=45$, Right Isosceles Triangle 13. $x=80$, Acute Isosceles Triangle 14. Way 1: $\angle 2$ is a vertical angle to the $115^\circ$ angle, …
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1. which equation correctly represents the line graphed below? 1 point
The equation of the line is \(y = 2x+12\)
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draw a triangle with the given description. (section 7.3) 8. a triangle…
1. For the triangle with angles $35^\circ$, $65^\circ$, $80^\circ$: Draw an acute scalene triangle with the three specified interior angles. 2. For the triangle with 5-cm, 7-cm si…
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(a) draw each of the images described in the steps below. step 1: first…
$\frac{3}{4}$
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20. the great wall of china is about how long? (circle one) 1000 miles …
4,000 miles
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building a and building b are 500 meters apart. there is no road betwee…
183 meters
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tell whether the angles are complementary or supplementary. then find t…
The angles are supplementary, and $x = 50$ --- ### For Problem 7:
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tell whether the angles are adjacent or vertical. then find the value o…
3. The angles are adjacent, $x = 146$ 4. The angles are adjacent, $x = 16$ 5. The angles are vertical, $x = 49$
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name two pairs of adjacent angles and two pairs of vertical angles in t…
### Figure 1: - Adjacent angles: ∠PQR & ∠RQS, ∠RQS & ∠SQT - Vertical angles: ∠PQR & ∠TQS, ∠PQT & ∠RQS ### Figure 2: - Adjacent angles: ∠YUX & ∠XUZ, ∠XUZ & ∠ZUW - Vertical angles: …
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figure abcd is a parallelogram. what is the value of p? (4p + 12)° 36° …
9
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given right triangle qrs, what is the value of sin(30°)? option 1: \\(\…
$\boldsymbol{\frac{1}{2}}$ (corresponding to the option: $\boldsymbol{\frac{1}{2}}$)
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given $\\triangle abc \\sim \\triangle xyz$, what is the value of $\\co…
$\boldsymbol{\frac{12}{13}}$ (Option C)
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given right triangle rst, what is the value of sin(s)? \\(\\frac{5}{13}…
$\frac{5}{13}$ (Option A)