Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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complete the proof given: ∠p ≅ ∠s and tq ≅ rq prove: △qss ≅ △qtp comple…
The correct option is the fourth one? No, wait the third option: $\angle P \cong \angle S$ and $\overline{TQ} \cong \overline{RQ}$. Wait, the options are: 3. $\angle P \cong \angl…
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3x - 4y = 8 drawing tools select point line click on a tool to begin dr…
To graph \( 3x - 4y = 8 \): 1. Find the y - intercept: Set \( x = 0 \), solve \( -4y = 8 \) → \( y = -2 \), so point \( (0, -2) \). 2. Find another point: Set \( x = 4 \), solve \…
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angles ∠1 and ∠2 are vertical angles. • m∠1 = 2x + 10 • m∠2 = 5x - 35 w…
C. \( 50^\circ \)
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which of these relations is a function?
The graph on the top - right (the second graph)
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16 vertical angles a are congruent b add up to 90 degrees c add up to 1…
A. are congruent
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15 given m || n, name one pair of alternate interior angles image of tw…
C. $\angle 3$ and $\angle 5$
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which of these relations is a function? (followed by four graphs: first…
To determine which graph represents a function, we use the vertical line test: a graph is a function if no vertical line intersects it more than once. ### Analyzing each graph: 1.…
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solving for side lengths of ri instruction ng the length of a shadow at…
The length of the tower’s shadow is approximately 62 meters.
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adow straight - line distance from the top of the tower to 40° angle wi…
\(62\)
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look at this graph: graph of coordinate points is this relation a funct…
yes
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14 which pairs of angles are alternate exterior angles? image of two pa…
# Explanation: ## Step1: Recall Alternate Exterior Angles Definition Alternate exterior angles are two angles that lie outside the two lines (l and m) and on opposite sides of the…
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($____$)sin(20°) = 3300; x = \\frac{3300}{sin(\\____ °)}; x ≈ 9648.554;…
For the first blank (the coefficient of \(\sin(20^{\circ})\)): \(x\) (or the variable representing the hypotenuse, which is \(x\) here) For the second blank (the angle in \(\sin(\…
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which sentence from the world on turtles back best illustrates why the …
The woman placed the dirt on Turtle’s back and performed a ritual to create the earth.
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Question was provided via image upload.
- For \( \cos(\underline{\quad}^\circ)=\frac{XZ}{26} \), the answer is \( 23 \). - For \( (26)(\sin(23^\circ)) = \underline{\quad} \), the answer is \( YZ \). - For \( (\underline…
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four rectangles are shown in the diagram. for which dilation is the rat…
B. D to B
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measuring volume (continued) 3. what is the volume of each structure? a…
a) 6 b) 12 c) 11 You could build more structures with a volume of 8 cubes because more cubes allow for more combinations of arrangements.
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what would be the best formula to model the volume of the teepee shown?…
A. volume of a cone
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what is an equation of the line that passes through the point (3, 1) an…
The equation of the line is given by the option with $y = 2x-1$ (assuming the point is $(3,5)$ due to the option matching; if there was a typo in the point from $(3,5)$ to $(3,-1)…
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look at this diagram: if ( overleftrightarrow{df} ) and ( overleftright…
\( 52^{\circ} \)
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summative grammar and vocabulary quiz part i. grammar directions: for e…
c. adjective ### Question 2
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test yourself! practice tool all three points displayed are on the line…
The equation relating \( x \) and \( y \) is \( y=\frac{4}{3}x \) (or equivalent forms like \( 4x - 3y = 0 \))
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trigonometric ratios __________ ratios are functions that take an acute…
1. First blank: Trigonometric; Second blank: angle; Third blank: right (or right - angled) 2. \(\sin(B)=\frac{AC}{AB}\) 3. \(\cos(B)=\frac{BC}{AB}\) (denominator: \(AB\)) 4. \(\ta…
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which angles are corresponding angles? image of intersecting lines with…
La opción correcta es la segunda alternativa: $\boldsymbol{\angle QPN}$ y $\boldsymbol{\angle RSP}$ (la segunda opción en la lista de alternativas, que es la que tiene $\angle QPN…
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20. given a(4, 2) and b(-1, y) and the graph of line t below, find the …
\( y = 12 \)
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19. given p(12, -2), q(5, -10), r(-4, 10), and s(4, y), find the value …
\( y = 3 \)
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qs and tv are parallel lines. which angles are vertical angles? ∠vur an…
$\angle VUR$ and $\angle TUW$ (the option with $\angle VUR$ and $\angle TUW$)
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4. graph the equation of the circle: ((x - 4)^2 + (y - 2)^2 = 9)
To graph the circle \((x - 4)^2 + (y - 2)^2 = 9\): 1. **Center**: Plot the point \((4, 2)\) (since \(h = 4\), \(k = 2\) from the standard circle equation \((x - h)^2 + (y - k)^2 =…
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ij ⊥ hi and fg ⊥ ef. complete the proof that ∠efg ≅ ∠hij. | statement |…
Definition of perpendicular lines
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q4l semester 1 final exam - geometry (reg) my ixl learning find the pro…
\(8x^2 + 10x + 2\)
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18. given j(x, -8) and k(-1, -5) and the graph of line l below, find th…
\( x = -2 \)
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defining cofunctions: notation sine and cosine are cofunctions. that is…
1. First blank (input values): angle 2. \(\sin(\theta)=\cos(\underline{\quad}-\theta)\): \(90^{\circ}\) (or \(90\)) 3. \(\sin(60^{\circ})=\cos(\underline{\quad})\): \(30^{\circ}\)…
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2 find the radian measure of an angle of 110° a \\(\\frac{11}{18\\pi}\\…
C. $\frac{11\pi}{18}$
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graph of a line with two points marked. the line passes through (0, -2)…
\( y=\frac{7}{2}x - 2 \) (the last option, assuming the options are ordered as given: the fourth option is \( y=\frac{7}{2}x-2 \))
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transformation which rigid motion will verify that \\( \\triangle abc \…
C. reflection over the y - axis ### Second Question (True Statement about Transformation Results)
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17. given c(x, 16), d(2, -4), e(-6, 14), and f(-2, 4), find the value o…
\( x = -6 \)
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read about the two most common forms of democratic government found in …
- A state in Brazil passed a law that forbids people in their state from cutting down Brazil nut trees: federal system (circle the federal system column) - In Ecuador, only the ce…
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the rectangles below have the same perimeter. 47 mi what is the area of…
476 square miles
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13 classify each angle pair as alternate exterior, alternate interior, …
- Top left angle pair → Alternate Interior (middle top box) - Second row left angle pair → Corresponding (bottom middle box) - Third row left angle pair → Alternate Exterior (top …
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latonya builds a ramp with a slope of \\(\\frac{3}{5}\\). the horizonta…
c. 9 feet
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1. what transformation could have been used in the design of this squar…
All of these transformations
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parallelograms given that the quadrilateral shown is a parallelogram. u…
First sub - question: B. \(x = 4\) Second sub - question: C. \(x = 31\)
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13 classify each angle pair as alternate exterior, alternate interior, …
For the top - left angle pair: Alternate Interior Angles; For the second angle pair (with vertical transversal): Same - Side Interior Angles; For the third angle pair (with obliqu…
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question 1-16 match the converse, inverse, and contrapositive of the gi…
- First statement (contrapositive): Check the "contrapositive" column. - Second statement (inverse): Check the "inverse" column. - Third statement (converse): Check the "converse"…
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defining cofunctions: cofunctions sine and cosine are cofunctions. that…
- First blank (in \(\sin(60)=\frac{2\sqrt{3}}{4}=\frac{\sqrt{\underline{}}}{2}\)): \(3\) - Angle in \(\cos(\underline{\quad})\): \(30^\circ\) - Complementary angles sum to: \(90^\…
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question 1-14 the steps for the construction to copy a given angle are …
U, R, B, X, V, T (assuming the option with this order is the correct one among the given options. If we match with the provided option format, we need to check the options again. …
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trigonometric ratios instruction the three basic trigonometric function…
- For \(\tan(A)=\frac{\text{opposite}}{\text{adjacent}}=\frac{BC}{AC}\) (first \(\tan(A)\) formula), "opposite" and "AC" fill the blanks. The blank for "______ of angle A = tan(A)…
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true false a rectangle is a square. a square is a rectangle. a rhombus …
1. A rectangle is a square: False 2. A square is a rectangle: True 3. A rhombus is a square: False 4. A square is a rhombus: True 5. A square is a kite: True 6. A kite is a square…
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what is the distance between point a(-2, -1) and point b(3, 2)?
\(\sqrt{34}\)
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given that δuvw is similar to δxyz, find the length of \\overline{zx}. …
D. 20
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name date period geometry unit 2: logic & proof quiz 2.2: conditionals,…
11. Compound Statement: "Atlanta is the capital of Georgia or there are 4 feet in a yard."; Truth Value: True 12. Compound Statement: "Atlanta is the capital of Georgia and there …
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a _ is a quadrilateral with two pairs of parallel sides. a _ is an equi…
1. parallelogram 2. rectangle 3. isosceles trapezoid
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calculating trigonometric ratios determine the value of sin(b) for δabc…
- The missing trigonometric function: cosine - For \(\sin(30^{\circ})=\frac{10}{\_\_}\), the answer is \(20\) - For \(\cos(A)=\frac{AC}{\_\_}\), the answer is \(AB\) (or \(20\)) -…
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what is the approximate volume of the cone? use 3.14 for π. 6 cm 5 cm 1…
\( 157 \, \text{cm}^3 \)
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listed in the item bank are some important labels for sections of the i…
- \( m\widehat{CB} = \boldsymbol{64^\circ} \) - \( m\angle AOC = \boldsymbol{116^\circ} \) - \( m\widehat{AD} = \boldsymbol{26^\circ} \) - \( m\widehat{DFB} = \boldsymbol{154^\cir…
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8. match each term name to the definition. (be as specific as possible)…
1. "A _ is a quadrilateral with exactly one pair of parallel sides." → trapezoid 2. "A _ is a regular quadrilateral." → square 3. "A _ is an equilateral quadrilateral with two pai…
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graph the inequality below on the number line. b<8
1. Place an open circle (○) on the number 8 on the number line. 2. Draw an arrow starting from the open circle and pointing to the left (towards -11) to represent all \( b \) such…
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11. slope = \\(\\frac{3}{4}\\), through (3, 0)
The equation of the line is $y=\frac{3}{4}x-\frac{9}{4}$ (and the graph can be drawn using the point $(3,0)$ and the slope to find other points as described above).
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if the line segment shown is reflected over the x - axis, what will be …
C. (4, -3)
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triangles abc and def are similar. find the length of segment ef. a 5 c…
C. 12 cm
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defining trigonometric ratios the three basic trigonometric functions f…
1. First blank: acute 2. Second blank: right 3. Third blank: angle 4. Fourth blank: ratio 5. Fifth blank: similar 6. For \(\sin(A)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{…
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sin b = tan b = cos b = (right triangle xyz with x right angle, xz=18.4…
sin B ≈ 0.471, tan B ≈ 0.533, cos B ≈ 0.882 (rounded to three decimal places) Wait, let's recalculate: Sin B = opposite/hypotenuse = 18.4 / 39.1 ≈ 18.4 ÷ 39.1 ≈ 0.4706 ≈ 0.471 Cos…
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labeling sides of right triangles right triangles have one ______ ° ang…
First blank: \( 90 \) Second blank: hypotenuse Third blank: adjacent Fourth (under \( \angle A \)): Adjacent Fifth (under \( \angle B \)): Opposite
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9. slope = \\(\\frac{1}{2}\\), through (2, 2)
The equation of the line is $y=\frac{1}{2}x + 1$, and to graph it, plot the y - intercept at $(0,1)$ and use the slope $\frac{1}{2}$ (rise 1, run 2) from the point $(0,1)$ or use …
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special right triangles complete the tables for the side lengths based …
- 45°-45°-90° Table Hypotenuse: \( \sqrt{2} \) (blank filled with 2) - 30°-60°-90° Table Long Leg: \( \sqrt{3} \) (blank filled with 3) - 30°-60°-90° Table Hypotenuse: \( 2 \) - \…
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8. slope = 0, through (4, -2)
The line is a horizontal line $y=-2$ passing through $(4, - 2)$ (graphically, a horizontal line at $y=-2$ on the coordinate grid).
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4. the blue triangles are the original images. name the transformation …
- Top - left blue to bottom - left blue: X - axis reflection - Top - left blue to top - right green (right angle at (6,3)): 90° clockwise rotation - Bottom - left blue to bottom -…
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16 in. 9 in. 8 in. 6 in. 10 in. type the answer in the box. square inch…
141
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a regular hexagon has side length 3x + 5. select all of the expressions…
A. \( 18x + 30 \) E. \( 6(3x + 5) \)
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7. slope = -1, through (3, 0)
The equation of the line is $y=-x + 3$, and the graph is a straight line passing through the points $(3,0)$, $(2,1)$, $(4,-1)$ etc. (with the correct line drawn on the given coord…
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applying the 30°-60°-90° triangle theorem a salt barn is used by a high…
The height of the salt barn is approximately \( 15\sqrt{3}\approx26 \) feet. For the blanks: height, roofline (hypotenuse), 30, longest.
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find the axis of symmetry. x = (there is a graph of a parabola on a coo…
\( 6 \)
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7. slope = -1, through (3, 0) 8. slope = 0, through (4, -2)
The equation of the line is $y=-x + 3$ ### For Problem 8:
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question 8 of 25 (1 point) the coordinate plane below represents a park…
Plot the van at (100, 250) (100 on x - axis, 250 up on y - axis) and the truck at (100, - 150) (100 on x - axis, 150 down on y - axis) on the coordinate plane.
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applying the 30°-60°-90° triangle theorem in a triangle whose angle mea…
If the 80 cm leg is the longer leg (opposite \(60^\circ\)): - Shorter leg: \(\boldsymbol{\frac{80\sqrt{3}}{3}}\) cm - Hypotenuse: \(\boldsymbol{\frac{160\sqrt{3}}{3}}\) cm If the …
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if a parabola opens down, the vertex is called a ______ a) high point b…
C. MAXIMUM
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if a parabola opens up, the vertex is called a a) high point b) low poi…
D. Minimum
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6. slope = -2, through (-1, 5)
The equation of the line is $y = - 2x+3$ and the graph is drawn by plotting the point $(-1,5)$ and using the slope to find other points (e.g., $(0,3)$ or $(-2,7)$) and then drawin…
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select all of the expressions that show the perimeter of the hexagon. a…
A, E
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name the vertex. 5
\((-1,4)\)
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30°-60°-90° triangle theorem: equilateral triangles in a 30°-60°-90° tr…
- First blank (hypotenuse): \(2x\) - \((AD)^{2}\): \(3x^{2}\) - \(AD\): \(x\sqrt{3}\) - Side ratio: \(x:x\sqrt{3}:2x\) (or simplified \(1:\sqrt{3}:2\)) - Angles reason: equal (or …
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name the axis of symmetry. 3 x =
\(1\)
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the diagram shown here represents a two intersecting lines. b two inter…
C. a line intersecting a plane in one point.
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convert \\(\\frac{7\\pi}{21}\\) to degrees. a \\(30^\\circ\\) b \\(60^\…
B. \( 60^\circ \)
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what is \\(\\sin d\\)? \\(\\sin d = \\square\\)
\(\frac{4}{5}\)
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triangles abc and def are similar. find the length of segment ef. a 5 c…
E. 18.75 cm
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30°-60°-90° triangle theorem: verifying side lengths 30°-60°-90° triang…
First blank: hypotenuse; Second blank: longer; Third blank: shortest; Fourth blank: largest (or right/90°)
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which expression can be used to determine the area of the patio? a $35r…
C. \(12r^3 + 24r^4\)
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because all 45°-45°-90° triangles are _______, we can set up a proporti…
First blank: similar; Second blank (denominator): \(c\) (or \(8\sqrt{2}\) when solved); Third blanks: \(8\), \(2\) (for \(c = 8\sqrt{2}\)) (Note: For the proportion \(\frac{1}{\sq…
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he 45°-45°-90° triangle theorem ngth of the hypotenuse of a 45°-45°-90°…
First part blanks: hypotenuse, \(2\); Second part blank: \(64\); Third part blanks: \(8\), \(2\) (Final simplified hypotenuse: \(8\sqrt{2}\) cm)
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the volume of a rectangular prism is 2.5 cubic feet. the prism has a he…
288
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find m∠p. write your answer as an integer or as a decimal rounded to th…
\( 25.8 \)
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restating the 45°-45°-90° triangle theorem c = a√2 another way of stati…
First blank: \( x \); Second blank: hypotenuse; Last blank: \( 2 \) (If the blanks are in order: "x", "hypotenuse", "2")
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find m∠f. h 2 g 1 f write your answer as an integer or as a decimal rou…
\( 63.4 \)
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find m∠c. write your answer as an integer or as a decimal rounded to th…
\(26.6\)
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45°-45°-90° triangle theorem 45°-45°-90° triangle theorem: in a 45°-45°…
1. (First blank: "hypotenuse"); \(c = \boldsymbol{a}\sqrt{2}\); "All \(45^\circ - 45^\circ - 90^\circ\) triangles are \(\boldsymbol{\text{similar}}\), because they have congruent …
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graph the point (-4, -4) on the coordinate plane.
To graph the point \((-4, -4)\), we first locate \(x=-4\) on the x - axis (4 units to the left of the origin) and then \(y = - 4\) on the y - axis (4 units down from the origin). …
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graph the point (-1, 2) on the coordinate plane.
The point \((-1,2)\) is graphed by moving 1 unit left from the origin (along the x - axis) and then 2 units up (along the y - axis) on the given coordinate plane.
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question aubrey is flying a kite, holding her hands a distance of 2.5 f…
65.89
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1) find m∠h. f 4√7 g 4√21 h m∠h = ° submit
\( 30 \)
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graph the line. y = -3x - 2
To graph \(y = - 3x-2\), plot the y - intercept \((0,-2)\), then use the slope \(-3\) (rise - 3, run 1 or rise 3, run - 1) to find another point (e.g., \((1,-5)\) or \((-1,1)\)) a…