Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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james has mapped his seat and his teachers seat on the coordinate plane…
D. \(4\sqrt{2}\) units
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question 9 (5 points) listen what vertical line (v) and horizontal line…
A) V: \( x = -6 \); H: \( y = -4 \)
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te planes and transformations exam find the length of the side cd in th…
B) \(4\sqrt{2}\) units
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question 6 (5 points) saved listen a police officer, in her car, is wat…
# Explanation: ## Step1: Identify coordinates Police car: \((-9, 0)\), Sports car: \((2, 9)\) ## Step2: Apply distance formula Distance formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 -…
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question 7 (5 points) listen in what quadrant would the ordered pair (-…
D) III ### Question 8 (Note: Since the question for 8 is not fully visible, assuming it's about the polygon's coordinates or properties. But based on the given image, if we assume…
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) $y = -2$
La gráfica de \( y = -2 \) es una recta horizontal paralela al eje \( x \) que pasa por \( y = -2 \) para todos los valores de \( x \). En el plano dado, se dibuja una línea horiz…
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kylie leans a 30-foot ladder against a wall so that it forms an angle o…
8.27 feet
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solve for ( x ). round to the nearest tenth of a degree, if necessary.
$52.4$
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moving in two dimensions you now know that position can be described wi…
1. Start at your current spot near the Entrance. Walk **100m North** to the Ticket Booth (this is the first reference point after the Entrance). 2. From the Ticket Booth, walk **1…
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solve for x. round to the nearest tenth, if necessary.
$3.3$
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solve for ( x ). round to the nearest tenth, if necessary.
$8.0$
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Question was provided via image upload.
\(24\)
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3 fill in the blank 1 point arcs that have the same measure and arc of …
1. congruent 2. tangent (or secant exterior) 3. adjacent (consecutive)
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1 fill in the blank 1 point an angle whose vertex is the center of a ci…
1. Angle PCQ is a central angle to circle C 2. The above circle represents a circumscribed circle (circumcircle)
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what does \\(\\overarc{cde}\\) describe? \\(\\bigcirc\\) a minor arc \\…
a major arc
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in circle d, which is a secant? - $overline{ef}$ - $overline{dc}$ - $ve…
$\boldsymbol{\overleftrightarrow{GH}}$
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solve for ( x ). round to the nearest tenth, if necessary. answer attem…
$3.9$
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use the graph given above to find the slope of each line. a) slope of l…
a) Slope of Line 1 (blue) = $\frac{1}{2}$ b) Slope of Line 2 (red) = $-\frac{1}{2}$ c) Slope of Line 3 (green) = $-2$
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which is true regarding chords and diameters of circles? both chords an…
A. Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
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use the graph given above to find the slope of each line. a) slope of l…
a) Slope of Line 1 (blue): $\frac{1}{4}$ b) Slope of Line 3 (green): $-2$
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in circle o, \\(\\overline{ac}\\) and \\(\\overline{be}\\) are diameter…
D. $220^\circ$
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in circle o, \\(\\overline{st}\\) is a diameter. what must be the value…
25.0
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what is the measure of \\(\\overarc{ced}\\)? \\(\\bigcirc\\) \\(106^\\c…
212°
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how are the semicircle and the diameter of a circle related? the length…
The degree measure of the diameter and the degree measure of the semicircle are the same.
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79. how many 3-inch segments can a 4.5-yard line be divided into? 15 45…
54 (Option: 54)
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in circle o, \\(\\overline{ac}\\) and \\(\\overline{bd}\\) are diameter…
130°
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in circle o, \\(\\overline{ae}\\) and \\(\\overline{fc}\\) are diameter…
253°
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the exact value of \\(sin \\theta\\) in simplest radical form. (there i…
$\frac{8\sqrt{3}}{15}$
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finding an arc measure \\(\\overline{gd}\\) is a diameter of circle c. …
231°
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miguel has a tree in his backyard. the tree grows 25 centimeters each y…
The solution to the inequality \( 25x - 16 > 234 \) is \( x > 10 \). To graph this on the number line, we use an open circle at 10 (since \( x \) is not equal to 10) and draw an a…
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which angles are supplementary to each other? select all that apply. ∠1…
The supplementary angle pairs are \(\boldsymbol{\angle 2}\) and \(\boldsymbol{\angle 6}\), \(\boldsymbol{\angle 6}\) and \(\boldsymbol{\angle 3}\) (and if we correct the earlier m…
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f 18 m 18 m (right - angled at the bottom vertex)
If finding the hypotenuse (length of \(F\)): Exact form \(18\sqrt{2}\space m\approx25.45\space m\); If finding the area: \(162\space m^{2}\)
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name the theorem that could be used to determine $\\angle lkp \\cong \\…
A. CPCTC
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move the protractor using the central blue dot. rotate / scale the prot…
\( m\angle TUV = \boxed{75}^\circ \)
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which statements are correct? check all that apply. a chord is sometime…
B. A diameter is always a chord. C. A tangent is never a secant. E. A chord can be shorter than a radius of the same circle. F. A radius is always congruent to another radius of t…
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find the exact value of \\( \\sin m \\) in simplest radical form.
$\frac{\sqrt{2}}{3}$
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find the exact value of \\(\\cos p\\) in simplest radical form. answer …
$\frac{3\sqrt{3}}{14}$
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given ( m parallel n ), find the value of ( x ).
\(x = 12\)
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what is the measure of each of the two base angles? base angles measure…
\(50^\circ\)
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m∠a = 50°, m∠j = 45°, and m∠s = 16x + 5. what is the value of x?
\( x = 5 \)
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find the area of each figure. (example 1) 1. 2. 3. 4. 5. 6. 7. find the…
The area of the figure is \( \boxed{198} \) square yards. Now problem 2: The figure is a combination of a triangle and a rectangle? Wait, the diagram shows a right triangle? Wait,…
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vocab word | definition | example repeating decimal | | terminating dec…
| Vocab Word | Definition | Example | |------------|------------|---------| | Repeating Decimal | A decimal with infinitely repeating digits | $0.\overline{3}$ (or $\frac{1}{3} = …
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7) 30 - 6a < -3(5 + 7a) > a < -3
$a < -3$ (Graph: Open circle at $-3$, arrow pointing left on the number line)
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2. what is the value of ( x ) and length of each side if ( \triangle ab…
\( x = 2 \), Side length = 15
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question 8 lesson 6-4 practice (im g7) a = (3, 2) b = (7.5, 2) d = (3, …
4
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1. classify the triangle by its angles and sides. angles: (lower case a…
Angles: obtuse Sides: scalene
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a = (3, 2), b = (7.5, 2), c = (7.5, -2.5), d = (3, -2)
The area of the rectangle (assuming \( C \) is \( (7.5, -2) \)) is \( 18 \). If the problem was different (e.g., identifying the shape, checking coordinates), adjust the steps acc…
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1. which best describes the type of triangle? 40° 35° - picure
The triangle is an obtuse triangle (specifically, a scalene obtuse triangle as all angles are different: \(40^\circ\), \(35^\circ\), and \(105^\circ\), with \(105^\circ\) being ob…
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5) $5k - 2k > -9 = k > -3$
The solution to the inequality is $k > -3$, and the number line graph (open circle at $-3$, arrow right) correctly represents this solution.
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simplify the scale factor and write it as a proper fraction, improper f…
$\frac{1}{3}$
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the following figure is a net of a pyramid. each value below is in inch…
$25 + 80 + 50 = 155$ square inches
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select all of the units that can be used for surface area. square yards…
- square yards - square inches - square millimeters
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find ( mangle myw ).
\( 11^\circ \)
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2) 0 > -5x - 6x = x > 0
$x > 0$ (matches the number line graph with an open circle at 0 and arrow pointing right)
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$\\triangle jkp$ is the image of $\\triangle jkp$. describe the dilatio…
The dilation of \( \triangle JKP \) is centered at \( P(3,2) \) and has a scale factor of \( \boldsymbol{2} \). The coordinate rule is \( (x, y) \to ( \boldsymbol{2}(x - \boldsymb…
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this question has two parts. first, answer part a. then, answer part b.…
### Part A #### Perimeter of the Square # Explanation: ## Step 1: Recall the formula for the perimeter of a square The perimeter \( P \) of a square is given by the formula \( P =…
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question follow the guided instructions below to rotate the figure $90^…
The line through the yellow center \((3, - 1)\) with a slope of \(-1\) (perpendicular to the original line with slope \(1\)) is drawn. (In a graphical context, this line will have…
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question a right triangle is shown. find the value of x. round your ans…
281.98
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x \geq -5 \) For the number line: Place a closed circle at -5 (since the inequality is "greater than or equal to") and draw an arrow to the right to repres…
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solve for x. 9) 10) ( tb = 9 ) ( by = -1 + x ) 11) 12) find the measure…
$x=6$ --- ### Problem 10
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using the pencil, plot the reflection of point a across the x-axis.
The reflected point is at coordinates $\boldsymbol{(-1, 7)}$, which is the point 1 unit left of the y-axis and 7 units above the x-axis on the grid.
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2) find the areas of the composite figure. round to the nearest hundred…
- Triangle area = 21 $\text{in}^2$ - Rectangle area = 34.1 $\text{in}^2$ - Total area = 55.1 $\text{in}^2$
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which statements are correct? check all that apply. \\(\\square\\) arc …
- One major arc is $\overline{GHE}$. - Arc FE is a minor arc. - The measure of $\overline{FE}$ is $41^\circ$.
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points a, b, and c are collinear. point b is between a and c. solve for…
For problem 11: \( x = 7 \) For problem 12: \( x = -1 \)
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points a, b, and c are collinear. point b is between a and c. find the …
\( AC = 28 \) ### Problem 10:
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john and marsha are calculating the width of the lake shown in the figu…
A) 5.2 inches
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the segment addition postulate find the length indicated. 1) ( h \bulle…
9 ### Problem 2
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a construction company is putting cone - shaped tops on top of each bri…
C) 314 \( \text{cm}^3 \)
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you can transform δuvw to δuvw by translating it and then performing a …
Translation: $(x, y) \mapsto (x - 6, y - 10)$ Scale factor: $3$
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review the twenty - ninth and thirtieth paragraphs. 28 soon the gondola…
She suspects that Grandpa has faked his illness.
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you can transform $\\triangle ghi$ to $\\triangle ghi$ by translating i…
Translation: $(x, y) \mapsto (x - 7, y + 6)$ Scale factor: $2$
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review the thirteenth and fourteenth paragraphs. there it was—a boxy, r…
She has traveled into the past.
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points lines and planes exit quiz multiple choices 1. a line and a plan…
a. Point ### Question 2
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9. find ( mangle lmn ).
$108^\circ$
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the graph shows rectangles cdef and cdef. which sequences of transforma…
A common sequence is **Rotate 180° around the origin, then translate 9 units up and 15 units right** (or adjust based on precise coordinates). For example, translating each point …
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points lines and planes bell work 1. complete the following statements …
b. If two distinct lines intersect, then they intersect in exactly one point; c. If two distinct planes intersect, then they intersect in exactly one line ### Question 3 (Which ex…
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. write the equation of the line. b: ______________ m: ______________ e…
b: $-1$ m: $-\frac{1}{3}$ Equation: $y = -\frac{1}{3}x - 1$
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4. write the equation of the line. b: ________________ m: _____________…
b: $0$ m: $\frac{3}{2}$ Equation: $y=\frac{3}{2}x$
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16. if v is the incenter of \\( \\triangle pqr \\), \\( qt = 5 \\), \\(…
\( SV = 7 \) \( QS = 5 \) \( QV = \sqrt{74} \) \( PS = 6\sqrt{22} \)
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reasoning 5. in the diagram shown, (overline{hi}) and (overline{jk}) in…
A rotation about point \( L \) (or a reflection/translation combination) can map \( \triangle HLK \) onto \( \triangle ILJ \). This is justified by the SAS congruence of \( \trian…
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problem solving with addition and subtraction equations 4. adesh writes…
a. $m = 57$ (verified as correct by substitution) b. The solution represents the measure of the unknown angle $m^\circ$ in the right angle diagram. c. Adesh incorrectly added 33 t…
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5. list the sequence of steps required to graph the function ( f(x) = -…
c. horizontal translation 4 units to the left, vertical translation 6 units up, reflection in x-axis
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use the figure below to answer the following questions. 11. if $\\trian…
SSS (Side - Side - Side) postulate ### Question 12
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transformations: unit 1 quiz 1 review 1. list characteristics of the fo…
- \( L(2, 1) \) (assuming original coordinates) - \( L'(-1, 3) \) - Rule: \( (x, y) \to (x - 3, y + 2) \) ### Question 3: Rotate the polygon 90° about the origin
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consider right triangle $\\triangle abc$ below. which expressions are e…
B. $\frac{\text{length of side adjacent to } \angle A}{\text{length of hypotenuse}}$ D. $\frac{AC}{AB}$
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uw bisects ∠vux and ∠vwx. complete the proof that ( overline{uv} cong o…
| Statement | Reason | |-----------|--------| | 6. $\triangle UVW \cong \triangle UXW$ | ASA Congruence Criterion | | 7. $\overline{UV} \cong \overline{UX}$ | Corresponding Parts …
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remember for problems 11–14, multiply. 11. $\frac{1}{5} \\times \\frac{…
11. $\frac{1}{40}$ 12. $\frac{1}{50}$ 13. $\frac{1}{56}$ 14. $\frac{1}{36}$ 15a. $12a + 3$ 15b. $16w - 20$ 16. B. All parallelograms are quadrilaterals because all parallelograms …
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two triangles are graphed with the following vertices: a(1, 1), b(0, 1)…
Each base angle measures $65^\circ$. ### Question 9
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consider right triangle $\\triangle pqr$ below. which expressions are e…
A. $\frac{\text{length of side adjacent to } \angle Q}{\text{length of side opposite to } \angle Q}$ C. $\frac{PQ}{PR}$
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geometry worksheet 4.6b – medians & centroids page 1 median – a segment…
1. $8.5$ 2. $22$ 3. $10$ 4. $6.7$ 5. $12$ 6. $24$ 7. $\frac{58}{3}$ 8. $11$ 9. $20$ 10. $6.5$ 11. $4.5$ 12. $5.3$ 13. $6$
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name date practice 18 1. graph the solutions to ( x geq 2 ) on the numb…
1. (Graph: Closed circle at 2, shade right) 2. (Graph: Open circle at 7, shade left) 3. $0$, $5$, $-3$ (any three numbers less than 7 are acceptable) 4. Infinitely many solutions.…
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use the figure shown and the given information. l is the centroid of △m…
14. $\boldsymbol{11}$ 15. $\boldsymbol{15}$ 16. $\boldsymbol{4}$ 17. $\boldsymbol{12}$ 18. $\boldsymbol{24}$ 19. $\boldsymbol{8.5}$ 20. $\boldsymbol{14.6}$ 21. $\boldsymbol{2}$ 22…
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3. a parabola that opens downward has its vertex at (3, 0) and a y - in…
a) The equation of the function is $\boldsymbol{f(x)=-(x-3)^2}$ (or expanded form $\boldsymbol{f(x)=-x^2+6x-9}$) b) Key points for graphing: - Vertex: $(3, 0)$ - Y-intercept: $(0,…
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which statement is true? n is a point of tangency on circle p. pt is a …
$\overleftrightarrow{SR}$ is a secant of circle P.
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for problems 4–6, graph the solutions to the inequality on the number l…
1. For $x>0$: Open circle at 0, shade right. 2. For $y<-3$: Open circle at -3, shade left. 3. For $5>z$ (or $z<5$): Open circle at 5, shade left. 4. For problem 7: $x<5$, $5>x$ 5.…
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solve the compound inequality. use graphs to show the solution set to e…
1. Correct graph for $3x+1 < -2$: D. <graph with open circle at -1, shading left> 2. Correct graph for $2x-8 \geq -18$: A. <graph with closed circle at -5, shading right> 3. Compo…
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in parallelogram (abcd), (mangle aeb = 122^circ), (mangle dac = 62^circ…
\(7\)
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triangle bac was dilated from triangle bde at a scale factor of 2. what…
$\boldsymbol{\frac{3}{2} = \frac{6}{4}}$ (or simplified as $\boldsymbol{\frac{BE}{BD} = \frac{BC}{BA}}$)
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in parallelogram vwxy, ( mangle wzx = 68^circ ), ( mangle vyw = 41^circ…
\( 9 \)
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10. which number is the solution to \\(\\frac{2}{5}x + 9 = x - 3\\)? a.…
10. C. 20 11. Substitute $x=4$ into $x+3=7$: $4+3=7$, which equals the right-hand side, so 4 is the solution. 12. a. $24 = y - 8$ b. $24 = y + 8$ c. $8 = 24y$ d. $24 = 8y$