Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the diagram shows a triangle. 57° 51° 3u what is the value of u? u = □°…
\(24\)
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the diagram shows a triangle. what is the value of w? w = \\boxed{}^\\c…
\(30\)
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find ( mangle tqw ).( mangle tqw = square^circ ) there is a diagram wit…
\(46\)
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plot a point at $-2\\frac{1}{4}$ on the number line.
The point should be plotted at the third tick mark to the right of \(-3\) on the number line, which corresponds to \(-2\frac{1}{4}\). (Visually, on the given number line, the tick…
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what is an equation of the line that passes through the points (3, 5) a…
\(x = 3\)
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classify the following properties by the most specific shape they apply…
1. diagonals are congruent: Rectangle 2. diagonals bisect each other: Parallelogram 3. only 1 pair of parallel sides: Trapezoid 4. diagonals are perpendicular: Rhombus 5. 4 congru…
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find $m\\angle bfc$. $m\\angle bfc = \\square^\\circ$
\( 62 \)
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problem 1 graph two lines that match the description: two lines with th…
No solution
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directions: find the slope from the given graph. 9) (graph of a line on…
\(\frac{1}{3}\)
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what is an equation of the line that passes through the points (-6, 6) …
The equation of the line is \( y =-\frac{5}{3}x-4 \) (or in standard form \( 5x+3y=-12 \))
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3. for each triangle below, write three ratios for the marked angle. do…
### Part a) \(\sin A=\frac{6}{20}\), \(\cos A=\frac{14}{20}\), \(\tan A=\frac{6}{14}\) ### Part b) \(\sin X=\frac{8}{15}\), \(\cos X=\frac{14}{15}\), \(\tan X=\frac{8}{14}\) (Note…
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answer attempt 1 out of 4 the graph represent a function because is map…
The graph \(\boldsymbol{\text{does}}\) represent a function because \(\boldsymbol{\text{each } x\text{-value}}\) is mapped to \(\boldsymbol{\text{exactly one } y\text{-value}}\).
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4. boat navigation (law of sines) two boats leave a dock and travel in …
### Part (a) # Explanation: ## Step1: Recall Law of Cosines The Law of Cosines states that for a triangle with sides \(a\), \(b\), \(c\) and the angle \(C\) opposite side \(c\), \…
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5. -3x + 4y = 8 x + 2y + 6 = 0
The system of equations \(\begin{cases}-3x + 4y = 8\\x + 2y+6 = 0\end{cases}\) has a solution \(x=-4,y = - 1\) (the intersection point is \((-4,-1)\)), and the two lines can be gr…
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-2\).
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representing the ise\ and a line representing the un\ of the line. stat…
The slope of the line is \(-5\)
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which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt
\(\angle PWQ\)
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end-of-topic review available online 1. a topic summary reviews the mai…
### Part (a) Trapezoid (inclusive definition), Parallelogram, Rectangle, Rhombus, Square ### Part (b) Parallelogram, Isosceles Trapezoid (and other quadrilaterals with at least on…
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drag the yellow dot until \\( \\overleftrightarrow{ac} \\) and \\( \\ov…
The angles \( \angle CBG \) and \( \angle FEB \) will be equal (e.g., if measured, they might both be \( 60^\circ \), \( 90^\circ \), etc., depending on the transversal, but their…
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12. graph of a line on a coordinate plane with grid, axes labeled x and…
The equation of the line is \(y = 2x - 1\) (assuming the task is to find the equation; if other task, adjust accordingly)
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topic: parallel and perpendicular lines progress: the movement of the p…
B. \( y = \frac{1}{2}x - 5 \)
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8. 30x + 50y - 100 = 0 3x - 15y - 30 = 0
The solution of the system is \(x = 5\), \(y = -1\) (the intersection point is \((5, -1)\) on the coordinate plane).
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name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
\( m\angle2 = 76^\circ \), \( m\angle3 = 104^\circ \), \( m\angle4 = 76^\circ \)
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name the two pairs of vertical angles in the figure. ∠1 and ? ∠2 and ?
∠1 and ∠3; ∠2 and ∠4
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mixed practice continued 8 determine the area of each composite figure.…
(a) The area of figure (a) is 24 square units. (b) The area of figure (b) is 18 square units.
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for exercises 10-12, write an equation that matches each graph. 10. 11.
\(y = -x + 3\) ### Exercise 11
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find the value of $f(6)$. $y = f(x)$ answer attempt 1 out of 4
\( -7 \)
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solve each system by graphing. when you finish, the remaining letters w…
OP
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in a triangle abc, bx, cz and ay are medians. if ax = 3x - 9, xc = 2x -…
(for first problem, assuming this): \( AZ = 8 \) ### Second Problem (Circle Angles)
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a company makes wax candles shaped like rectangular prisms. each candle…
27
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categorize the following images by what you would use to solve for x. o…
The bottom triangle (the one with sides 14, 25, and right angle) should be categorized under "Pythagorean Theorem"
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9. ( l parallel m ) ( mangle1 = ) ______ ( mangle2 = ) ______ ( mangle3…
(Problem 9): \( m\angle1 = 73^\circ \) \( m\angle2 = 58^\circ \) \( m\angle3 = 107^\circ \) \( m\angle4 = 49^\circ \) \( m\angle5 = 131^\circ \) (Problem 11 needs more precise ana…
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enter the scale terrell used to make the pattern of the kite. 2 in. 5 f…
For the proportion, the numerator (pattern base length in inches) depends on the pattern, but if we assume the pattern's base length is 6 inches (common), then \(b = 15\) ft. The …
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a company makes wax candles in the shape of a rectangular prism. each c…
41472
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topic: the coordinate plane progress: the movement of the progress bar …
Quadrant II
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two parallel lines are cut by a transversal as shown below. suppose m∠5…
\( m\angle2 = \boldsymbol{97}^\circ \) \( m\angle3 = \boldsymbol{83}^\circ \)
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if δbts ≅ δghd, bs = 25, ts = 14, bt = 31, gd = 4x - 11, m∠s = 56°, m∠b…
\( 7y + 5 = 56 \)
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ab = round your answer to the nearest hundredth. right triangle with ri…
\( 4.41 \)
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the graph of $y = f(x)$ is shown below. find all values of $x$ where $f…
The values of \( x \) where \( f(x)=-3 \) are \( \boldsymbol{x=-5} \) and \( \boldsymbol{x=-1} \) (assuming the graph's visual inspection gives these values; if the graph has diff…
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what steps would you take to solve for y? subtract from 360 find the nu…
To solve for \( y \), use the property that the sum of angles around a point is \( 360^\circ \). Sum the known angles (\( 85^\circ + 40^\circ + 25^\circ + 70^\circ = 220^\circ \))…
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bc = \\boxed{\\space} round your answer to the nearest hundredth. (righ…
\( 2.30 \)
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10. m∠1 = m∠4 = m∠2 = m∠5 = m∠3 = m∠6 =
\( m\angle1 = \boldsymbol{4^\circ} \) \( m\angle4 = \boldsymbol{86^\circ} \) \( m\angle2 = \boldsymbol{52^\circ} \) \( m\angle5 = \boldsymbol{52^\circ} \) \( m\angle3 = \boldsymbo…
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two parallel lines are cut by a transversal as shown below. suppose m ∠…
\( m\angle 1=\boxed{32}^\circ \) \( m\angle 4=\boxed{148}^\circ \)
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rotate the given point by applying the following rule: 270 degrees coun…
The new coordinates after a 270 - degree counterclockwise rotation are \((4,-3)\)
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line jl and line khm intersect at point h. find the three unknown angle…
They have the same measure.
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bc = round your answer to the nearest hundredth. right triangle with ri…
\( 15.01 \)
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part 1 of 2 the points (15,27) and (35,63) form a proportional relation…
\(\frac{12}{7}\)
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line jl and line km intersect at point h. find the three unknown angle …
\( 51^\circ \)
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line jl and line km intersect at point h. find the three unknown angle …
\( 129^\circ \)
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the measure of angle 1 is 60 degrees. what is the measure of angle 8?
60 degrees
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8. triangle with angles 41° and 75°, and another right triangle with 54…
\( m\angle1 = 64^\circ \), \( m\angle2 = 26^\circ \), \( m\angle3 = 36^\circ \)
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find m∠vyw. m∠vyw = \\boxed{\\space}°
59
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13) yes no state whether the points form a plane. 14) yes no 15) on: of…
13) No 14) Yes 15) On: J, K, L, M; Off: 16) On: S, T; Off: U 17) 18) O, P, and Q 19) Q on the plane 20) T off of the plane 21) 22) plane NPQ
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m∠3 = 82°, find m∠4. m∠4 = □°
\(98\)
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what is the standard form of the line that passes through (1,3) and (4,…
3x + y = 8 (the third option)
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for each pair of angle measures, decide if the angles are complementary…
- \(80^\circ\) and \(100^\circ\): Supplementary - \(25^\circ\) and \(155^\circ\): Supplementary
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find the measure of the angle indicated. 11) find ( mangle wst ). 12) f…
\( 65^\circ \) ### Problem 16: Find the measure of the indicated angle (triangle with two 70° angles)
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for each pair of angle measures, decide if the angles are complementary…
Supplementary (and the pair \(80^\circ\) and \(100^\circ\) should be placed in the "Supplementary" category)
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the figure shows three intersecting lines. lines j and h are perpendicu…
\( 35 \)
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question what is the volume of a hemisphere with a diameter of 30.3 ft,…
\( 7270.2 \)
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the figure shows three intersecting lines. lines g and h are perpendicu…
\( 90 \)
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geometry name braxton fitrant 3.5 exterior angle thereom and triangle s…
1) \( 94^\circ \) 2) \( 124^\circ \) (using Exterior Angle Theorem: \( 82^\circ+42^\circ = 124^\circ \)) 3) \( 54^\circ \) 4) \( 60^\circ \) 5) \( 94^\circ \) 6) \( 64^\circ \) 7)…
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the figure shows two intersecting lines. a) write an equation to show h…
\( 43^\circ \)
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vertical/adjacent/complementary angles l2 score: 0/1 penalty: none ques…
\( x = 22 \), \( y = 68 \)
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the figure shows two intersecting lines. write an equation to show how …
\(m\angle1 + m\angle2 = 180^\circ\)
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integrated math 6.1 points, lines, and planes \t\t\t\t\t\tdate \t\t\t\t…
1) \(\overleftrightarrow{CD}\), \(\overleftrightarrow{DC}\) 2) \(\overleftrightarrow{JK}\), \(\overleftrightarrow{KJ}\) 3) Plane \(L\), Plane \(M\), Plane \(N\) (any two) 4) \(\ov…
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in the figure, m∠abd = 156°. the figure shows a point b with three rays…
The measure of the unknown angle ( \( m\angle ABC \)) is \( 124^\circ \)
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find the slope of the line the slope of the line is (type an integer or…
\(-1\)
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mental math using the slope formula, find the slope of the line through…
\( 2 \)
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what is m∠wxz? m∠wxz = \\boxed{\\space}°
\(155\)
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oscar has a map of the campground where he is staying. the scale shows …
$\frac{1}{2}$ (or 0.5)
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what steps would you take to find the measure of angle e? recall that t…
The steps are: 1. Recall that the sum of exterior (or interior, depending on polygon) angles is a constant (360 for exterior, (n - 2)*180 for interior, n = number of sides). 2. Se…
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mr. lanes cookie recipe makes 13 cookies. he finds there is no way he c…
- 13 is a prime number - 13 has exactly two factors - 1 and 13 is a factor pair of 13
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the wind changes again and the weathervane turns another 70°. now it po…
\( 180 \)
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△abc and △pqr are similar. find the missing side length. (the triangles…
14
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categorize each number as real, complex, or imaginary. (4 points) real …
- \(4 + 2i\): Complex (select the circle under Complex) - \(\sqrt{3}\): Real (select the circle under Real) - \(9 - 4i\): Complex (select the circle under Complex) - \(-2.5i\): Im…
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△abc and △def are similar. find the missing side length. (the triangles…
8
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complete the table. then, plot the pairs of values on the coordinate pl…
A. The graph labeled A (with the y - axis up to 48 and x - axis up to 12, showing points consistent with \( y = 4x \))
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the wind changes again and the weathervane turns another 70°. now it po…
If we consider the angle of the turn, it's \( 70^\circ \). If we consider the angle between the initial direction and North, it's \( 110^\circ \). If we consider the direction of …
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after another wind change, the weathervane has turned an additional 20°…
\(90^{\circ}+ 20^{\circ}=110^{\circ}\)
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for each pair of figures below, choose how they are related. options fo…
First pair: Translation; Second pair: Rotation; Third pair: Rotation; Fourth pair: Translation
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Question was provided via image upload.
\(3.06\)
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after another wind change, the weathervane has turned an additional 20°…
- Vertex: \( V \) - Shared Side: \( VE \)
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for each pair of figures below, choose how they are related. options fo…
First Pair: Rotation Second Pair: Translation Third Pair: Rotation Fourth Pair: Rotation
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after another wind change, the weathervane has turned an additional 20°…
\(\boldsymbol{\angle EVT}\)
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for each pair of figures below, choose how they are related. (first fig…
Translation ### Second Pair:
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10 choose whether each statement refers to the lewis and clark expediti…
1. The expedition team reached the Pacific Ocean: Lewis and Clark Expedition (select the circle under Lewis and Clark Expedition) 2. The expedition team had to stop and turn aroun…
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for each pair of figures below, choose how they are related. (first fig…
First Pair: Translation Second Pair: Translation Third Pair: Rotation Fourth Pair: Reflection
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drag the numbers to put them in order from least value (top) to greates…
From top (least) to bottom (greatest): $\boldsymbol{\pi}$, $\boldsymbol{3\frac{1}{3}}$ (or $\boldsymbol{\frac{10}{3}}$), $\boldsymbol{\sqrt{13}}$ (assuming the fourth number is a …
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a weathervane is pointing north. after the wind changes direction, the …
$90$
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find the value of x. there is a triangle with angles 43° and 82°, and a…
\(125\)
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drag the tiles to the correct boxes to complete the pairs. given: ( mat…
For example, if the subtractions are \(\mathbf{u}-\mathbf{v}\) → Graph 1, \(\mathbf{u}-\mathbf{w}\) → Graph 2, \(\mathbf{w}-\mathbf{v}\) → Graph 3, \(\mathbf{v}-\mathbf{u}\) → Gra…
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select the correct answer vector u has its initial point at (15, 22) an…
D. \( \mathbf{v} = \langle 20, 52 angle \)
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(a) use the calculator to find the perimeter and area of the window. ma…
### Part (a) #### Step 1: Recall the formulas for the perimeter and area of a rectangle For a rectangle with length \( l \) and width \( w \): - The perimeter \( P \) is given by …
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distinguishing between the area and perimeter of a rectangle 24 ft 19 f…
s: (a) Perimeter: \(\boldsymbol{86}\) ft; Area: \(\boldsymbol{456}\) \(\text{ft}^2\) (b) \(\boldsymbol{\text{Perimeter}}\) (c) \(\boldsymbol{\text{Area}}\)
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drag these tiles and drop them in the correct blank above find the sum …
The value of \( x \) is \( 64 \), and the angles are \( 79^\circ \), \( 123^\circ \), \( 99^\circ \), \( 59^\circ \) (and the equation is \( (x + 15)+(2x - 5)+(x + 35)+(x - 5)=360…
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(a) use the calculator to find the area and perimeter of the field. mak…
(a) Area: \( 2262 \) yd²; Perimeter: \( 214 \) yd (b) Area (c) Perimeter
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7/13 what steps would you take to find the measure of angle e? first, n…
The steps would involve (First) setting up an equation with all angles equal to \(360\) (since the sum of interior angles of a quadrilateral is \(360^\circ\)) and (Next) substitut…
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use the graph of f(x) to complete the table. x | f(x) -1 | 0 | 2
For \(x=-1\), \(f(-1)=\boldsymbol{0}\); for \(x = 1\), \(f(1)=\boldsymbol{0}\) (assuming the table has \(x=-1\), \(x = 0\), \(x = 1\) and we need to fill \(f(-1)\) and \(f(1)\); i…
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which components are a possible representation of vector w if the magni…
B. \(\langle -3, 4 angle\), E. \(\langle 0, -5 angle\)