幾何
三角形、圓、解析幾何與證明題。
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find the values of x and y. find x select the correct choice below and,…
A. The value of \(x\) is \(21\) A. The value of \(y\) is \(25\)
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the approximate value of \\( \\pi \\) used in calculations is the volum…
1. \(3.14\) 2. cubic units (e.g., \(cm^{3}\), \(m^{3}\), etc.)
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find the values of x and y find x. select the correct choice below and,…
A. The value of \(x\) is \(12\)
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in the following figures, find the measure of the side a. b (\triangle …
\(6\)
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to find the volume of a cylinder, you need to know the of the base and …
1. area 2. half 3. the area of the circular base
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1. draw each figure. a. ray ca b. angle abc. identify the vertex. 2. cl…
\(x = 61\)
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look at this diagram: if rt and uw are parallel lines and m∠tsv = 131°,…
49
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determine whether the following pairs of triangles, (i)-(vi), are simil…
A. \(\triangle ACD\sim\triangle ABE\) by the AA Similarity for Triangles theorem. The scale factor of \(\triangle ACD\) to \(\triangle ABE\) is \(\frac{5}{4}\)
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the distance from the center of the base to its edge is known as the th…
1. radius 2. height 3. volume
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determine whether the following pairs of triangles, (i)-(iv), are simil…
B. \(\triangle ABC\sim\triangle EDA\) by the AA Similarity for Triangles theorem. The scale factor of \(\triangle ABC\) to \(\triangle EDA\) is \(\frac{1}{2}\)
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use the image to answer the question. because congruent diagonals prove…
\(x = 3\) (the first option)
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match each compound inequality on the left to the graph that represents…
The compound inequality $-16\leq6x + 2\lt14$ corresponds to the first graph (with closed - circle at $-3$ and open - circle at $2$); the compound inequality $-6x\gt - 18$ and $1\l…
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find the measure of \\( \\angle p s m \\). \\( m \\angle p s m = \\) \\…
\( 94 \)
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determine whether the following pairs of triangles, (i)-(iv), are simil…
B. \(\triangle ABC\sim\triangle DEF\) by the AA Similarity for Triangles theorem. The scale factor of \(\triangle ABC\) to \(\triangle DEF\) is \(\frac{1}{6}\)
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use the image to answer the question. given that ( a b c d ) is a recta…
\(x = 7\)
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d. are any two rectangles in which one side is twice as long as the oth…
Yes
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solve for x. save answer x =
\(x = 4\)
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use the image to answer the question. in a proof that the diagonals of …
\(\triangle DAB\cong\triangle CBA\)
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c. are any two rectangles always similar? yes no
No
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b. are any two squares always similar? no yes
Yes
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a. are any two equilateral triangles always similar? yes no
Yes
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rectangle proofs practice complete this assessment to review what youve…
\(5\)
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solve for x. save answer x =
\( 9 \)
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solve for x. x = save answer
\( 9.25 \)
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complete this assessment to review what youve learned. it will not coun…
\(106\)
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given that quadrilateral abcd is a rectangle with ac = 7x and bd = 2x +…
\(x = 1\)
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look at this diagram: if (overleftrightarrow{ce}) and (overleftrightarr…
\( 47.9^{\circ} \)
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look at this diagram: if df and gi are parallel lines and m∠hj = 122.2°…
\( 122.2^{\circ} \)
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complete this assessment to review what youve learned. it will not coun…
Statement #1
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3. the graph shows triangles def and def. which sequences of transforma…
a translation left 6 units and down 2 units followed by a reflection across the \(x -\)axis.
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look at this diagram: if ( overleftrightarrow{km} ) and ( overleftright…
\( 46 \)
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which angles are corresponding angles? ∠rqo and ∠utq ∠rqo and ∠utv ∠stq…
$\angle RQT$ y $\angle UTQ$
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a side of the triangle below has been extended to form an exterior angl…
\(x = 112\)
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in triangle abc, the measure of angle b is 33° and the measure of angle…
\(123^{\circ}\) (Option D)
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which angles are vertical angles? ∠rsu and ∠ops ∠ops and ∠tsp ∠tsp and …
$\angle TSP$ y $\angle QPN$
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the figure shows a right prism with 2 congruent square bases and 4 cong…
C. 21,100 cubic units
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15. if a cylinder has a volume of 150π cubic cm and the height is 10 cm…
A. \(5.42\) cm
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14. a cylindrical soup can has a volume of 400π cm³ and a radius of 4 c…
A. 25 cm
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13. a rectangular prism has a length of 6 inches, width of 4 inches, an…
D. \(72in^{3}\)
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12. a cylinder has a radius of 2.5 cm and a height of 10 cm. what is it…
C. \(196.25\ \text{cm}^3\)
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show that the two triangles are similar and choose a similarity stateme…
\(\triangle LNQ\sim\triangle MNP\) (using the AA similarity criterion as \(\angle Q\cong\angle N\) and \(\angle QLN\cong\angle NMP\))
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11. a company needs to calculate the capacity of a cylindrical barrel w…
C. 0.75 m
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10. the diameter of a cylinder is doubled, but its height remains the s…
C. It quadruples
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once you have multiplied the radius squared, height, and π, the final s…
1. \(3\) 2. cubic 3. traffic cones (other valid conical - object - related answers like ice - cream cones also work) 4. architecture (other valid fields like engineering also work)
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9. if the height of a cylinder is tripled, the volume will ____. a. dou…
D. triple
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① find the value of x \\( \\overline { j k } \\cong \\overline { k l } …
\(x = 1.5\)
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8. the distance between the bases of a cylinder is called the _____. a.…
A. height
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in the volume formula $\frac{1}{3}pi r^{2}h$, the variable $r$ stands f…
1. radius (of the base of the cone) 2. height 3. height 4. cylinder 5. radius
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7. a cylinders volume is 250π cm³ and its radius is 5 cm. what is its h…
C. 10 cm
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question given m||n, find the value of x. answer attempt 3 out of 3 x=
\( x = 5.6 \)
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question given m||n, find the value of x. answer attempt 2 out of 3 x =…
\(75\)
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a cone and a cylinder have the same base radius and height. if the cyli…
A. \(100\space cm^{3}\)
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6. a cylindrical container has a diameter of 4 cm and a height of 8 cm.…
A. \(32\pi\mathrm{cm}^3\)
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question what is the image of $(-8,-4)$ after a dilation by a scale fac…
\((-2,-1)\)
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5. what happens to the volume of a cylinder if both the radius and heig…
D. The volume increases by a factor of 8.
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question given ( m | n ), find the value of ( x ).
\(x = 1.2\)
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question given m||n, find the value of x. answer attempt 2 out of 3
\( x = 1.2 \)
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question given m||n, find the value of x. answer attempt 1 out of 3 (4x…
\( x = 1.2 \)
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find the length of the third side. if necessary, round to the nearest t…
\(15.6\)
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4. what unit can be used to measure the volume of a cylinder? a. inches…
C. Cubic centimeters
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question given ( m | n ), find the value of ( x ). answer attempt 1 out…
\( x = 17 \)
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what is the approximate volume of a cone with a radius of 7 cm and heig…
For the first question: B. \(769.69\mathrm{cm}^{3}\) For the second question: D. The volume is quadrupled.
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23. $(20 - 12i)-(15 - 4i)$ a. $5 - 8i$ b. $35 - 8i$ c. $5 + 8i$ d. $-5 …
23. A. \(5 - 8i\) 24. C. \(-30 + 36i\) 25. D. \(50 - 25i\) 26. C. \(10\) 27. A. \(27 - 8i\) 28. A. \(54 - 42i\) 29. D. \(-24\) 30. B. \(8 + i\) 31. A. \(58 + 66i\)
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question given m || n, find the value of x. (7x - 27)° (6x - 10)°
\( x = 17 \)
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3. which is not a component of a cylinder? a. triangle b. circle c. rec…
A. Triangle
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graph a right triangle with the two points forming the hypotenuse. usin…
The distance between the points \((8,6)\) and \((5,2)\) is \(5\).
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how would you set up an equation to find the value of x? rewatch 5x - 0…
\(4x-1.3=x + 3.2\)
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question given m || n, find the value of x. (6x + 9)° (5x - 10)°
\( x=-19 \)
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2. if the volume of a rectangular prism is doubled, what can be said ab…
A. One or more dimensions must increase.
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the height of a cone is 12 cm and the volume is 48π cm³. what is the ra…
1. c. \(3.46\space cm\) 2. d. \(12.57\space ft^{3}\)
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the formula for the volume of a cone is: a. $v = \\frac{1}{3}\\pi r^{2}…
A. \( V = \frac{1}{3}\pi r^{2}h\)
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1. the formula for the area of a circle is_____. a. $2\\pi r^{2}$ b. $d…
C. \( \pi r^{2} \)
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find the length of the third side. if necessary, round to the nearest t…
\(6.3\)
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a traffic cone has a diameter of 8 inches and a height of 12 inches. wh…
d. \(64\pi\mathrm{in}^{3}\)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 61\), \(y = 119\)
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given m || n, find the value of x. answer: x =
\( 72 \)
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question given ( m | n ), find the value of ( x ). answer attempt 1 out…
\( 71 \)
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question given ( m parallel n ), find the value of ( x ). answer attemp…
\(76\)
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current skill solve and graph the following inequality: -5 ≥ -1 - 4x in…
The solution of the inequality \(-5\geq - 1-4x\) is \(x\geq1\). On the number - line, we put a closed - circle at \(1\) and shade to the right of \(1\).
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the volume of a right rectangular prism is calculated by the formula to…
1. \( V = l\times w\times h\) 2. area 3. circle 4. height 5. \( 3.14\) 6. \( 2\) 7. height 8. units of measurement
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current skill solve and graph the following inequality: $-5\\geq -1 - 4…
Inequality: \(x\geq1\) For the graph: On a number - line, put a closed circle at \(x = 1\) (because the inequality is \(\geq\)) and shade to the right of \(1\) (since \(x\) is gre…
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10. geometry at a certain time of day, a flagpole casts a 9.0 - foot - …
H. 15.0
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to find the volume of a right rectangular prism, you multiply length, w…
B. Height
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a cylinder has a radius of 3 cm and a height of 8 cm. what is the volum…
A. \(72\pi\mathrm{cm}^3\)
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a cylindrical water tank has a diameter of 12 meters and a height of 10…
C. \(360\pi\mathrm{m}^3\)
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if a cone is one - third the volume of a cylinder with the same base an…
For the first question: d. \(V = \frac{1}{3}\pi r^{2}h\) For the second question: b. cubic units
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solve for the value of r. answer attempt 1 out of 4 r =
\(r = 29\)
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in the formula for the volume of a cylinder, \\( \\pi \\) represents: a…
A. 3.14
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figure u is the result of a transformation on figure t. which transform…
Reflection over the \(y\) - axis.
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which of the following is true about comparing the volume of a cylinder…
C. The volumes depend on the height of each shape.
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a cylinder has a height of 9 cm and a volume of 81π cm³. what is the ra…
C. 3cm
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solve for the value of s.
\(s = 7\)
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answer a translation 2 units to the right. a translation 2 units to the…
A translation 2 units to the right.
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solve for the value of b.
\(b = 7\)
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which of the following operations are used in calculating volume? a. su…
B. Multiplication
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solve for the value of t. answer attempt 1 out of 4 t =
\(t = 26\)
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solve for the value of t. answer attempt 1 out of 4 t =
\(14\)
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answer \\( \\overline { r t } \\) is a perpendicular bisector. \\( \\ov…
\(\overline{RT}\) is an angle bisector.
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if the radius of a cylinder is doubled while keeping the height the sam…
A. It quadruples
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the area of the base of a cylinder is calculated by: a. \\( \\frac { 4 …
C. \(\pi r^{2}\)