Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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the given line segment has a midpoint at (-1, -2). what is the equation…
\(y = - 4x-6\) (corresponding to the option \(y=-4x - 6\))
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if om = 61, mn = 54, on = 81, pq = 27, and rq = 40.5, find the perimete…
\( 98.0 \)
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triangle ijk is similar to triangle lmn. find the measure of side lm. r…
\( 22.2 \)
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triangle cde is similar to triangle fgh. find the measure of side fc. r…
The measure of side $FG$ is approximately $34.8$.
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triangle ghi is similar to triangle jkl. find the measure of side jk. r…
\(28.1\) (Wait, but let's check again. Wait, 7.4 times 3.8: 7.4*3 = 22.2, 7.4*0.8=5.92, so 22.2+5.92=28.12, which is 28.1 when rounded to the nearest tenth. So the answer is 28.1.
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find the measure of ∠2. m∠2=□ (type a whole number)
\(37\)
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this vector represents a transformation. graph of a triangle with point…
\( (4,7) \) (assuming the first option is (4,7))
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calculate the volume of the composite shape shown above. use 3.1416 for…
\( V_{\text{cone}} = 339.29 \) \( \text{cm}^3 \) \( V_{\text{cylinder}} = 2035.75 \) \( \text{cm}^3 \) \( V_{\text{hemisphere}} = 452.17 \) \( \text{cm}^3 \) \( V_{\text{total}} =…
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sin(θ) = cos(θ) = tan(θ) = csc(θ) = sec(θ) = cot(θ) = point (-15, 8) on…
$\sin(\theta)=\frac{8}{17}$, $\cos(\theta)=-\frac{15}{17}$, $\tan(\theta)=-\frac{8}{15}$, $\csc(\theta)=\frac{17}{8}$, $\sec(\theta)=-\frac{17}{15}$, $\cot(\theta)=-\frac{15}{8}$
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scale factors the shapes in each pair are similar. find the value of x …
3 ### 2)
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approximately how much ice cream is in this cone shown below? assume th…
719.95
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find the exact values of the six trigonometric functions of each angle …
$\sin(\theta)=\frac{3}{5}$, $\cos(\theta)=\frac{4}{5}$, $\tan(\theta)=\frac{3}{4}$, $\csc(\theta)=\frac{5}{3}$, $\sec(\theta)=\frac{5}{4}$, $\cot(\theta)=\frac{4}{3}$
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are the endpoints of the segments \\(\\overline{ab}\\), \\(\\overline{c…
\(AB=\sqrt{29}\), \(CD=\sqrt{29}\), \(EF=\sqrt{29}\)
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consider the cube shaped container below with a centered, cone shaped h…
\( V_{\text{cube}} = \boldsymbol{1728} \, m^3 \) ### Radius, Height, and Volume of the Cone
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the segments \\(\\overline{pq}\\), \\(\\overline{wx}\\), and \\(\\overl…
Length of \(PQ=\sqrt{73}\approx8.54\), \(WX=\sqrt{61}\approx7.81\), \(YZ=\sqrt{41}\approx6.40\)
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determine the quadrant in which θ lies. \\( \\sin(\\theta) < 0, \\cos(\…
III
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7 sean knows the length of the base, ( b ), and the area, ( a ), of a t…
4) \( h = \frac{2A}{b} \)
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triangle abc will be translated 3 units right and 6 units up. choose wh…
\(\boldsymbol{<3, 6>}\) (suponiendo que la opción es la que tiene \(<3, 6>\))
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4) d - 2c sean knows the length of the base, ( b ), and the area, ( a )…
4) $h = \frac{2A}{b}$ ### Second Sub - Question (Cylinder Height)
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calculate the volume of the composite shape shown above. use 3.1416 for…
\( V_{cone} = 339.29 \) \( \text{cm}^3 \) (rounded to two decimal places) \( V_{cylinder} = 2035.75 \) \( \text{cm}^3 \) (rounded to two decimal places) \( V_{hemisphere} = 452.39…
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6. explain the error in graphing the inequality. ( x - 2 > 3 ) or ( x +…
The error is in the graphing of \(x + 8 < -2\) (which simplifies to \(x < -10\)). The open circle for \(x < -10\) is placed at 10 (incorrect); it should be placed at -10 (with an …
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1) what type of lines do the railroad tracks represent in geometry? 2) …
Parallel lines ### Question 2
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triangle abc has been translated to the right two units. the (x,y) coor…
After translating triangle \(ABC\) 2 units to the right, the \(y\) - coordinates of the vertices remain unchanged, and the \(x\) - coordinates of the vertices increase by 2 (i.e.,…
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consider the cube shaped container below with a centered, cone shaped h…
### Part 1: Side length and volume of the cube # Explanation: ## Step1: Determine side length of cube The cube's side length is given by the diameter of the cone's base (since the…
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write the step function shown in the graph. graph with x - axis (marked…
\(f(x)=\begin{cases}1, & \text{if } 2\leq x < 3 \\2, & \text{if } 3\leq x < 4 \\3, & \text{if } 4\leq x < 5\end{cases}\)
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find the total volume of the barn by finding the volume of the trapezoi…
\( V_{\text{trap}} = \boldsymbol{432} \) \( ft^3 \) \( V_{\text{rect}} = \boldsymbol{3420} \) \( ft^3 \) \( V_{\text{total}} = \boldsymbol{3852} \) \( ft^3 \)
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find the reference angle θ in degrees. θ = -255° θ = ° sketch θ in stan…
\(75\)
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find the total volume of the barn by finding the volume of the trapezoi…
\( V_{trap} = 2070 \, \text{cm}^3 \) \( V_{rect} = 5760 \, \text{cm}^3 \) \( V_{total} = 7830 \, \text{cm}^3 \)
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4. explain the error in graphing the inequality. (-17 < x - 14) (-17 + …
The solution to the inequality \( - 17<x - 14\) is \(x>-3\). The error in the graph is that the arrow is pointing to the left of \(-3\) (representing \(x < - 3\)) instead of to th…
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name the plane that is highlighted in the diagram below.
Plane WZTU (or other valid combinations like Plane ZWTU, Plane ZT UW, etc. as long as the points are on the highlighted plane)
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two angles are supplementary. the first angle measures 25°. what is the…
\(155\)
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calculate the volume of the composite shape shown above. use 3.1416 for…
\( V_{\text{cone}} = 113.10 \) \( \text{cm}^3 \) (rounded to two decimal places) \( V_{\text{cylinder}} = 2035.75 \) \( \text{cm}^3 \) (rounded to two decimal places) \( V_{\text{…
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what is the measure of angle wzy? ○ 54.5° ○ 71° ○ 125.5° ○ 180° (diagra…
\( 71^\circ \) (corresponding to the option "71°")
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what is the circumference of the circle in feet? use the formula ( c = …
\( 12\pi \) (corresponding to the option "12π")
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find the area of this triangle. 32 48 63 ? ft² round to the nearest who…
\(751\)
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callie is sending her nephew a soccer ball for his birthday. she packs …
\( 17576 \) ### Part (b)
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a painter needs to find the area of the gable end of a house. what is t…
\( 852 \)
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what is the measure of the largest angle of a triangle having sides of …
\(110.97\)
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a painter needs to find the area of the gable end of a house. what is t…
\( 3042 \)
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the measure of central angle lop is \\(\\square^{\\circ}\\). the length…
The measure of central angle LOP is \( \boldsymbol{180}^\circ \). The length of LP is \( \boldsymbol{17} \) units. The length of MP is \( \boldsymbol{15} \) units.
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these two shapes are similar. find q. 7 cm 21 cm 2 cm q q = □ centimete…
6
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what are the values of x, y, and z? use theorems to justify each answer…
\( x = 114 \)
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a geometry class is asked to find the equation of a line that is parall…
Both students are correct; the slope should be \(-1\), passing through \((4, 2)\) with a \(y\) - intercept of \(6\).
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identifying properties of angles intercepting the same arc use the diag…
To solve this, we use properties of circles (inscribed angles, central angles, and tangent - radius properties): ### For the first statement (∠EJB and ∠BOE) - ∠EJB is an inscribed…
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angles of a circle. which statements are true? check all that apply. ( …
- $m\widehat{CB}=120^\circ$ - $m\angle COB = 2(m\angle CAB)$ - $m\angle COB = 120^\circ$
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what is the perimeter of kite acbo? 31 units 56 units 62 units 64 units
62 units
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find the perimeter and area of the polygon shown below. diagram: a poly…
# Explanation: ## Step1: Calculate the Perimeter The polygon is a combination of a rectangle and a right triangle. The sides of the rectangle are 15 ft, 16 ft, and the other side …
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in the figure below, △abc is similar to △xyz. what is the length of (ov…
11.25
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two lines intersect as shown. what is the value of x? (2x + 20)° 60°
\(x = 20\)
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kinds of angles there are four kinds of angles. it is important to lear…
1. Straight Angle 2. Obtuse Angle 3. Acute Angle 4. Right Angle ### Part 2: List five real - life angles
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solve the inequality. -6.2 < 2n + 8.6 < 21.4 solution: -7.4 < n < 6.4 g…
The solution to the inequality \( -6.2 < 2n + 8.6 < 21.4 \) is \( -7.4 < n < 6.4 \). To graph this, we use an open circle at \( -7.4 \) and \( 6.4 \) (since the inequality is stri…
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write the sentence as an inequality. a number m is more than $-7 \\frac…
(Inequality): \( m > -\frac{23}{3} \) or \( m \leq -10 \) (For the graph, as described above, implement the closed circle at -10 (arrow left) and open circle at \( -7\frac{2}{3} \…
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write the sentence as an inequality. a number p is less than 6 and grea…
The inequality is \( 2 < p < 6 \). For the graph, there are open circles at 2 and 6 on the number line, with a line segment connecting them to represent the solution set of \( p \…
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movement of the progress bar may be uneven because questions can be wor…
Scalene acute
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relating lengths of sides of inscribed and central angles central angle…
First dropdown: always Second dropdown: not always
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you can move your body to make the four different kinds of angles. the …
### Para las imágenes (de arriba a abajo, izquierda a derecha): 1. **Primera imagen (brazo doblado)**: Ángulo recto (right angle), ya que el brazo forma ~90°. 2. **Segunda imagen …
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solve the inequality. -6.2 < 2n + 8.6 < 21.4 solution: -7.4 < n < 6.4 g…
The solution to the inequality is \( -7.4 < n < 6.4 \). For the graph, place open circles at \( -7.4 \) and \( 6.4 \) on the number line and draw a line between them.
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solve and graph each. show your work. 2) $-1 < 9 + n < 17$ (number line…
\(-10 < n < 8\) (For graphing, draw an open circle at \(-10\) and \(8\) on the number line and shade the region between them.) ### Problem 5: Solve \(-3 \leq \frac{p}{2} < 0\)
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6. (2x + 75)° y° (2x - 10)° (diagram of intersecting horizontal and ver…
# Explanation: ## Step1: Identify angle relationships The angles \((2x + 75)^\circ\) and \((2x - 10)^\circ\) are related to the right angle (since they are on perpendicular lines,…
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marisol claims that each pair of remote interior angles in a triangle h…
D. Yes, ∠1 and ∠2 are both remote interior angles for ∠3 and ∠4
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find the ( cos \frac{5pi}{8} ) using the half-angle formula. rationaliz…
The value of \(\cos\frac{5\pi}{8}\) is \(-\frac{\sqrt{2-\sqrt{2}}}{2}\), so in the given form, the first blank (inside the square root) is \(2\) and the second blank is \(2\). So …
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find the $sin 165^circ$ using the half-angle formula. rationalize the d…
\(\sin165^{\circ}=\frac{\sqrt{2 - \sqrt{3}}}{2}\) (or in the form given in the problem, the numerator is \(\sqrt{2-\sqrt{3}}\), so the first blank is \(2\) and the second blank is…
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find the value of sin 2θ given θ is in the first quadrant and tan θ = 8…
$\frac{144}{145}$
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select one or more expressions that together represent all solutions to…
None of the options (A - F) are correct as the equation \(6\cos(12x)+4=-4\) has no solution (since \(\cos(12x)=-\frac{4}{3}\) is outside the range of the cosine function \([-1,1]\…
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multiplying polynomials: mastery test image of a grid with blue rectang…
D. \((3x + 1)(x + 1)\)
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algebra 1 chapter 2 progress monitoring tool 1) solve and graph the sol…
\(x>6\) (For graphing, we draw an open circle at \(x = 6\) and shade the region to the right of \(6\) on the number line) ### Sub - question 2: Solve \(24\leq3x + 27\leq30\)
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lesson 9 practice problems 1 a. draw parallel lines ab and cd. b. pick …
### Part a: Drawing Parallel Lines AB and CD To draw parallel lines \( AB \) and \( CD \): 1. **Draw Line \( AB \)**: Use a ruler to draw a straight line segment and label its end…
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2 which graph represents the solution to the inequality below? show you…
C. The graph with a closed circle at -6 and an arrow pointing to the right (representing \(x\geq - 6\))
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vertical and adjacent angles • practice example 1 refer to the figure. …
$\angle MSR$ and $\angle RSP$ (other valid pairs are also possible, e.g., $\angle MSU$ and $\angle SUT$, $\angle SUT$ and $\angle TUP$ etc.) ### Sub - question 2: Name two vertica…
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from life on the mississippi i still keep in mind a certain wonderful s…
3. His way of seeing the river shifts from mysterious wonder to objective analysis as he becomes a steamboating expert.
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find the area and the circumference of a circle with diameter 8 yd. use…
Area: \( 50.24 \) square yards Circumference: \( 25.12 \) yards
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interpreting diagrams the intersection of plane a and plane s will be t…
s: 1. The intersection of plane A and plane S will be \(\boldsymbol{\text{line } f}\) (or the line containing C, W, V? Wait, more accurately, the line of intersection is the line …
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find the area of a circle with radius 5 yd. use the value 3.14 for π, a…
The area of the circle is \( 78.5 \) square yards (or \( 78.5\space\text{yd}^2 \)).
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a circle has a diameter of 16 ft. what is its circumference? use 3.14 f…
\( 50.24 \) feet
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vertical and adjacent angles · practice example 1 refer to the figure. …
$\angle MSQ$ and $\angle QSP$ (or other valid adjacent angle pair like $\angle SUT$ and $\angle TUP$ etc., depending on the figure's angle connections) ### 2. Naming two vertical …
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vertical and adjacent angles · practice example 1 refer to the figure. …
s: 4. \(x = 35\) 5. \(x = 12\)
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identifying objects which statements are true based on the diagram? (ch…
- Point H is not in a plane (checked: true) - The line containing points F and G is in plane R (checked: true) (Mark these two statements as true.)
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angle x is a circumscribed angle of circle v. which name best describes…
quadrilateral (since VW and VY are radii, and XY, XW are tangents to the circle, so angles at Y and W are right angles, but we don't know if sides are equal or parallel enough for…
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what are the coordinates of the three locations on the graph? a. (-2, -…
A. \((-2, -3),(4, -1),(-5, 2)\)
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inates of the three locations on the graph?
The coordinates of the three points are \((-5, 2)\), \((-2, -3)\), and \((4, -1)\)
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part 2—5 points directions: for this exercise, you are going to evaluat…
s: 1. The product being advertised is McDonald’s salad (or McDonald’s salad offerings). 2. Target audience: Health - conscious fast - food consumers and those wanting variety. Evi…
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the area of a square painting is 81 cm². what is the length of one side…
The length of one side is \( 9 \, \text{cm} \), so the correct option is the one with \( 9 \) (assuming the orange box is labeled with \( 9 \), e.g., if the options are as shown: …
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major arc jl measures 300°. which describes triangle jlm? right obtuse …
equilateral (First, find the measure of the minor arc JL: \( 360^\circ - 300^\circ = 60^\circ \). Since \( M \) is the center, \( MJ \) and \( ML \) are radii, so \( MJ = ML \). T…
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question 6 of 10 (1 point) | question attempt: 1 of unlimited 76 ft 92 …
s: (a) - Area: \( \boldsymbol{6992}\) square feet - Perimeter: \( \boldsymbol{336}\) feet (b) Area (c) Perimeter
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1. the density of gold is 18 g/cm³. if the volume of a piece of gold is…
84 cubic inches ### For the gold density problem:
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find the area of this square. 5 m
The area of the square is \( 25 \) square meters (or \( 25 \, \text{m}^2 \)).
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a cube with side length s has a volume of 64 cubic units. what is the l…
The length of one side is 4 units.
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5. a shipping company is sending a fragile package with these dimension…
36 (assuming the package height is 1 in, but there is a possible typo in the problem. If we take the given numbers as is, the package can't fit in the box, so the problem has an e…
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find the perimeter of the rectangle. include the unit. 15 cm 24 cm
\( 78 \, \text{cm} \)
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find the perimeter of the shaded shape. 1 unit 1 unit □ units
8
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-\frac{1}{2}\).
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find the perimeter. include the unit. 10 cm 12 cm 7 cm
29 cm
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the figure shows two rectangles. which expression represents the area o…
To find the area of the shaded region, we calculate the area of the larger rectangle and subtract the area of the smaller (unshaded) rectangle. ### Step 1: Dimensions of the large…
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select the passage that has a more informative tone. the \standing-sitt…
The passage: "The'standing - sitting dive' must be made from a good diving board. The diver stands at the edge of the board with his or her arms straight down. The hands should be…
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if a vertical line intersects a graph at more than one point, the graph…
s: 1. not a function (or a relation that is not a function) 2. function 3. non - function (or a relation that is not a function) 4. function
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a cube with side length s has a volume of 64 cubic units. what is the l…
Assuming the last (cyan) option is 4, the answer is the cyan - colored option with 4 (if the options are labeled, for example, if the cyan option is D, then D. 4). If we consider …
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identifying points and lines the three collinear points on line m are p…
s: 1. \( J \), \( K \), \( W \) 2. \( P \) (or \( X \), \( Y \) – check diagram; \( P \) is typical) 3. One (or \( 1 \))
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lisa is 800 meters from the base of a mountain, as shown. from where sh…
# Explanation: ## Step1: Find the height of the mountain (h) Let the height of the mountain be \( h \). When Lisa is 800 meters from the base, the angle of elevation is \( 38^\cir…
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12 yds 4 yds 12 yds 4 yds 6 yds 6 yds pool 12 yds 4 yds 12 yds how many…
To find the area of the walkway, we can calculate the area of the larger shape (including the pool and walkway) and subtract the area of the pool. ### Step 1: Area of the Pool The…
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what is the area of the shaded region? 21 mm² 24 mm² 42 mm² 48 mm² (dia…
To find the area of the shaded region, we can break it into two parts: a trapezoid (or a combination of a rectangle and a triangle) and a rectangle, or use the method of subtracti…