几何
三角形、圆、解析几何与证明题。
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the diagram shows a triangle. triangle with angles ( b - 17^circ ), ( 2…
$62$
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because the slopes of $overline{np}$ and $\boxed{}$ are both $\boxed{}$…
To solve this problem, we analyze the properties of a parallelogram (opposite sides are parallel) and use the given slope options and side labels. ### First Statement (Slopes of \…
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the diagram shows a triangle. triangle image with angles 90°, 15s, and …
$s = 2$
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the diagram shows a triangle. diagram of a right triangle with angles 9…
$s = 2$
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find z. right triangle with right angle, two 45° angles, hypotenuse 14√…
14
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the diagram shows a triangle. (an image of a triangle with angles 3v, 8…
$14$
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the diagram shows a triangle. what is the value of ( u )? ( u = square^…
$u = 9$
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graph the quadrilateral with the given vertices in the coordinate plane…
The quadrilateral with vertices \( N(-5, 0) \), \( P(0, 4) \), \( Q(3, 0) \), \( R(-2, -4) \) is graphed by plotting the points and connecting them in order. (The actual graph is …
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the diagram shows a triangle. one angle is 4u, one is 84°, one is 60°. …
$u = 9$°
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find the slope of the line that passes through the following points: (0…
\( \frac{1}{2} \)
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the diagram shows a triangle. what is the value of ( b )? ( b = square^…
$12$
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find c. right triangle with angles 60°, 30°, right angle; side adjacent…
\(2\sqrt{2}\)
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find m. triangle with right angle, two 45° angles, hypotenuse 18√6 cm, …
\( 18\sqrt{3} \)
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what is the value of this expression? (2 - 3)(4 - 5) enter your answer …
1
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find z. image of a right triangle with a right angle, one acute angle 4…
\( 16\sqrt{2} \)
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the diagram shows a triangle. what is the value of ( w )? ( w = square^…
$9$
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the diagram shows a triangle. what is the value of ( b )? ( b = square^…
$35^\circ$
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find k. right triangle with angles 30°, 60°, right angle; hypotenuse 8√…
\(4\sqrt{3}\)
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can you conclude that these triangles are congruent? (image of two tria…
yes
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can you conclude that these triangles are congruent? yes \t\t no
yes
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look at this diagram: diagram of lines np, qs parallel with transversal…
$43$
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graph the quadrilateral with the given vertices in the coordinate plane…
The quadrilateral is graphed by first locating the four vertices \(J(-2,3)\), \(K(-5,7)\), \(L(3,6)\), and \(M(6,2)\) in the coordinate plane and then connecting them in sequence.
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find q. right triangle with angles 30°, 60°, 90°, side opposite 30° is …
51
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look at this diagram: if \\( \\overleftrightarrow{mo} \\) and \\( \\ove…
$61$
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find j. 18√2 ft 45° j 45° write your answer in simplest radical form. f…
18
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look at this diagram: diagram showing parallel lines ln and oq, and tra…
$124^\circ$
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look at this diagram: diagram with lines and points if \\( \\overleftri…
$51^\circ$
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because $jk = lm = \\boxed{}$ and $kl = jm = \\boxed{}$, $\\overline{jk…
To solve this, we analyze the properties of a parallelogram. A parallelogram has both pairs of opposite sides congruent. Let's assume we calculate the lengths of \( JK \), \( LM \…
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look at this diagram: if \\( \\overleftrightarrow{ik} \\) and \\( \\ove…
$111$
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look at this diagram! if (overleftrightarrow{hj}) and (overleftrightarr…
$49^\circ$
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find s. triangle image with angles 30°, 60°, right angle, side √3 ft, s…
\(2\sqrt{3}\)
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find y. triangle image: right triangle with right angle, 60° angle, 30°…
\(11\)
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look at this diagram: diagram of two parallel lines jl and mo cut by a …
$68^\circ$
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look at this diagram: diagram with lines ln, ik (parallel), and transve…
$66^\circ$
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look at this diagram: diagram of two parallel lines ln and oq cut by a …
$49^\circ$
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find w. right triangle with angles 45°, 45°, 90°, one leg 13√3 cm, the …
\(13\sqrt{3}\)
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find z. triangle with 10 in, 30°, 60°, right angle, z write your answer…
\(5\sqrt{3}\)
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what is the area of the trapezoid? 5 km 4 km 3 km 9 km square kilometers
21 square kilometers
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find j. right triangle with angles 30°, 60°, right angle; side opposite…
24
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look at this diagram: if \\( \\overleftrightarrow{ln} \\) and \\( \\ove…
$116^\circ$
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△hij is a translation of △hij. write the translation rule. (x, y) ↦ (x …
$(x, y) \mapsto (x + 8, y - 9)$
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look at this diagram: diagram of parallel lines df and gi, and transver…
$63.3^\circ$
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name: period: 1st 2nd 3rd 4th 5th 6th 7th 8th - a pyramid and prism bot…
- **Prism Volume**: \( 392 \) - **Pyramid Volume**: \( \frac{392}{3} \) (or approximately \( 130.67 \)) - **Comparison**: The volume of the prism is three times the volume of the …
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look at this diagram: diagram showing two parallel lines pr and su cut …
$110^\circ$
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△ghi is a translation of △ghi. write the translation rule. (x, y) → (x …
$(x, y) \mapsto (x - 13, y - 15)$
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look at this diagram: diagram of lines oq, rt (parallel) and transversa…
$47^\circ$
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answer all 6 questions in the order they were delivered. answers will r…
The image contains multiple geometry - related questions (like questions about triangle congruence, angle measures). Since the problem is not clearly specified (which sub - questi…
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look at this diagram: diagram of two parallel lines tv and wy cut by a …
$41^\circ$
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look at this diagram: diagram of lines and angles if \\overleftrightarr…
$56$
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look at this diagram: diagram of parallel lines ln and ik, and transver…
$121$
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look at this diagram: diagram of lines km, np (parallel) and transversa…
$50^\circ$
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find p. right triangle with right angle, one angle 60°, one angle 30°, …
\(16\)
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you might need calculator what is the next term of the geometric sequen…
\( 15 \)
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what is the next term of the geometric sequence? \\frac{27}{16}, -\\fra…
\(-4\)
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you might need calculator what is the next term of the geometric sequen…
\( 15 \)
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what is the next term of the geometric sequence? 128, 32, 8, \\boxed{}
2
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find c. right triangle with angles 60°, 30°, right angle; side adjacent…
\(2\sqrt{2}\)
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find f. right triangle with one leg 11√2 mm, angles 60° and 30°, and th…
\(11\sqrt{6}\)
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if pt = 2z and rt = z + 11, find the value of z that makes quadrilatera…
\( 11 \)
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find the value of x that makes quadrilateral pqrs a parallelogram. (ima…
\( x = 7 \)
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17. (-4, 3) and (7, 8); (9, -2) and (1, -3)
The slopes of the lines through the given pairs of points are \( \frac{5}{11} \) (for \((-4, 3)\) and \((7, 8)\)) and \( \frac{1}{8} \) (for \((9, -2)\) and \((1, -3)\)). If the i…
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9. $y = \\frac{3}{4}x + 5$ $-3x + 4y = 2$ $m = \\underline{\\quad\\quad…
For \( y = \frac{3}{4}x + 5 \): \( m = \frac{3}{4} \), \( b = 5 \) For \( -3x + 4y = 2 \): \( m = \frac{3}{4} \), \( b = \frac{1}{2} \) Circle (solution): none
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9. $y = \\frac{3}{4}x + 5$ $-3x + 4y = 2$ $m = \\underline{\\quad\\quad…
For \( y = \frac{3}{4}x + 5 \): \( m = \frac{3}{4} \), \( b = 5 \) For \( -3x + 4y = 2 \): \( m = \frac{3}{4} \), \( b = \frac{1}{2} \) Circle (solution): none
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7. $3y = 2x + 6$ $-\frac{2}{3}x + y = 2$ $m=$ ______ $m =$ ______ $b=$ …
For the first equation: \(m=\frac{2}{3}\), \(b = 2\) For the second equation: \(m=\frac{2}{3}\), \(b = 2\) Circle (should be "Number of solutions"): infinite
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which angles are vertical to each other? image of intersecting lines wi…
$\angle6$ and $\angle5$
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which angles are adjacent to each other? diagram of intersecting lines …
$\angle10$ and $\angle11$
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8) which of the following is closest to the area shaded in green in the…
4. 51
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directions: find the measures of the sides of \\( \\triangle def \\), t…
$DE = 3\sqrt{10}$, $EF = \sqrt{65}$, $DF = \sqrt{221}$; $\triangle DEF$ is a scalene triangle.
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4. $6y - 12x = 4$ $3y = 6x + 2$ $m = $ ______ $m = $ ______ $b = $ ____…
For \(6y - 12x=4\): \(m = 2\), \(b=\frac{2}{3}\) For \(3y=6x + 2\): \(m = 2\), \(b=\frac{2}{3}\) Number of solutions: infinite
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number of solutions. (examples 1-3) 3. 3y - 4 = 6x y = 2x - 3 m = _____…
For $3y - 4 = 6x$ (or $y = 2x+\frac{4}{3}$): $m=\boldsymbol{2}$, $b=\boldsymbol{\frac{4}{3}}$ For $y = 2x-3$: $m=\boldsymbol{2}$, $b=\boldsymbol{-3}$ Number of solutions: \boxed{n…
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perimeter of a rectangle find the perimeter of each rectangle. 1) perim…
38 yd ### 2)
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homework 1: classifying triangles directions: classify each triangle by…
1. Acute Isosceles Triangle 2. Right Scalene Triangle 3. Obtuse Scalene Triangle 4. Acute Equilateral Triangle 5. Right Isosceles Triangle 6. Acute Scalene Triangle 7. Acute Equil…
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6.2 extra practice determine number of solutions determine if each syst…
$m_1=-4$, $b_1 = 7$; $m_2=-2$, $b_2 = 7$; Circle: one ### Problem 2:
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use the graph below to add points to the table below. | x | | | | | | |…
### Part 6-97: #### a) Rotating the Rectangle 90° Clockwise about (2,1) To rotate a point \((x,y)\) 90° clockwise about a center \((h,k)\), we use the transformation: New \(x = h …
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find j. a right triangle with two 45° angles. one leg is \\(\\sqrt{3}\\…
\(\sqrt{6}\)
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8. draw a number line to show \\(\frac{1}{4}\\) and \\(\frac{2}{8}\\) a…
To show $\frac{1}{4}$ and $\frac{2}{8}$ are equivalent on a number line: 1. Draw a number line from 0 to 1. 2. Divide the interval [0,1] into 4 equal sub - intervals. The point at…
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in circle o, \\(\\overline{st}\\) is a diameter. what must be the value…
25.0
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58. center: (0, 0); radius: 7 59. center: (-4, 5); radius: 2 60. center…
58. $x^2 + y^2 = 49$ 59. $(x+4)^2 + (y-5)^2 = 4$ 60. $(x-1)^2 + (y+3)^2 = 11$ 61. $(x-3)^2 + (y-8)^2 = 169$ 62. $(x+2)^2 + (y+6)^2 = 25$
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no calculator is allowed on this question. an angle measuring \\(\\frac…
D. \(\frac{\sqrt{3}}{2}\)
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trapezoid - area find the area of each trapezoid. 1) 4 in 15 in 8 in ar…
1) $76$ square inches 2) $105$ square feet 3) $210$ square yards 4) $240$ square feet 5) $143$ square yards 6) $15$ square inches 7) $120$ square yards 8) $127.5$ square feet
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12. you are using a math software program to design a pattern for an ol…
### Part a: Outer Circle Equations 1. Bottom-left: $(x-15)^2 + (y-15)^2 = 7.5^2$ 2. Bottom-middle: $(x-33)^2 + (y-15)^2 = 7.5^2$ 3. Top-left: $(x-26)^2 + (y-33)^2 = 7.5^2$ 4. Top-…
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3. find the area of this rectangle: 11 inches 9 inches
The area of the rectangle is \( 99 \) square inches.
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2. what is the area of this shape? □ = 1 square unit
17 square units
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perimeter = 16 length of missing side l = (there is a square - like fig…
4
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perimeter = 34 length of missing side l = (there is a square - shaped f…
\( L = 9 \)
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find w. right triangle with angles 45°, 45°, 90°, one leg 13√3 cm, the …
\(13\sqrt{3}\)
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in exercises 5 and 6, find the value of x. 5. triangle lmn with side lm…
\( \boldsymbol{31} \)
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8. draw a number line to show \\(\frac{1}{4}\\) and \\(\frac{2}{8}\\) a…
To show $\frac{1}{4}$ and $\frac{2}{8}$ are equivalent on a number line: 1. Draw a number line from 0 to 1. 2. Divide the interval [0,1] into 4 equal sub - intervals. The point at…
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10. a circular fountain has a diameter of 10 meters. what is the circum…
b. \( 10\pi \) meters
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find c. right triangle with angles 45°, 45°, 90°, one leg is \\(\\sqrt{…
\( 2 \)
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unit 6 - triangles & congruence quiz practice for each problem give the…
1. $\triangle ABC \cong \triangle RIW$ by SAS 2. $\triangle ABC \cong \triangle HSE$ by AAS 3. $\triangle ABC \cong \triangle NGT$ by SSS 4. $\triangle GHJ \cong \triangle REA$ by…
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4. there is a right triangle in the picture. the right angle is at the …
\(x = 2\sqrt{2}\)
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find the value of x in these diagrams. 3. (diagram of a rectangle with …
If in radical form, \(x = 5\sqrt{5}\); if as a decimal approximation, \(x\approx11.18\) (usually, the exact form \(5\sqrt{5}\) or the approximate decimal form is acceptable depend…
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6. circle the correct one: 1. πέτρο, ποια - ποιος είναι αυτή - αυτός ; …
1. Πέτρο, **ποια** είναι **αυτή** ; 2. **Αυτή** είναι η αδελφή μου! 3. Πώς **τη** λένε; 4. **Τη** λένε Αθηνά!
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1. graph the solutions to $x > 2$ on the number line. <number line imag…
- Draw an open circle at \( 2 \) on the number line. - Draw an arrow starting from the open circle and pointing to the right (towards numbers greater than \( 2 \), like \( 3, 4, 5…
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2. a window frame that appears to be rectangular has a height of 60 in,…
Yes, the window frame is rectangular.
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consider parallelogram efgh below. use the information given in the fig…
\(x = 3\), \(m\angle IEH=53^{\circ}\), \(m\angle IHE = 35^{\circ}\)
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for problems 11-14, multiply: 11. $\frac{1}{5} \\times \\frac{1}{8}$ 12…
\(\frac{1}{40}\) ### Problem 12: $\boldsymbol{\frac{1}{5} \times \frac{1}{10}}$
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$\\overline{fi} \\cong \\overline{hi}$. which term describes $\\overlin…
median
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4.11.5 stepping stones choose the equation of the line that is perpendi…
\( y=\frac{-4}{3}x + 2 \) (the fourth option)