Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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define fraud list and briefly discuss the three major components of the…
Fraud is *an intentional deception* made for the purpose of *unlawfully obtaining money, property, or services*. The three components of the fraud triangle: - **Pressure**: A moti…
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question what is the distance between the points (10, 12) and (-4, -36)…
D. 50 units
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question what is the length of segment \\( \\overline { c d } \\) in th…
\(3\sqrt{5}\)
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understand how angles formed by intersecting lines are related. find un…
\(129^{\circ}\)
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question 15(multiple choice worth 4 points) (05.03 mc) if \\( \\cos r^{…
\(36\) units.
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question 14(multiple choice worth 4 points) (05.02 lc) which equation i…
\(\tan x^{\circ}=\frac{\text{opposite}}{\text{adjacent}}\) (the third option: \(\tan x^{\circ}=\text{opposite}\div\text{adjacent}\))
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question 13 (multiple choice worth 4 points) (08.03 mc) ema is standing…
\(15\) feet
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question 12(multiple choice worth 4 points) (05 04 lc) the sail of a bo…
$\frac{8}{\tan35^{\circ}}$ (the second option)
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question 11 (105 04 mc) (05 04 mc) charlie is watching hot air balloons…
\(1001\) feet
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question 10 (fill - the - blank worth 4 points) (05.03 mc) find the mea…
\(35.69\)
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question 9 (multiple choice worth 4 points) (08 04 mc) karren is lookin…
C. Building A, it is around 50.34 feet taller than building B
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question 5 (multiple choice worth 4 points) (05.01 mc) a helium - fille…
\(156\) m
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question 3 (fill-in-the-blank worth 4 points) (05.03 mc) find the measu…
\(28.07\)
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question 2(multiple choice worth 4 points) (05 02 lc) the figure below …
\(\sin y^{\circ}\)
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question 1 (multiple choice worth 4 points) (05.02 mc) if the sin 0° = …
$\cos90^{\circ}=0$, because the angles are complements.
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consider right triangle \\( \\triangle def \\) below. which expressions…
\(\cos(\angle E)=\sin(\angle F)=\frac{DE}{EF}\)
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in the triangles, \\( \\overline { a c } \\cong \\overline { f e } \\) …
$\overline{AB}$ is longer than $\overline{FD}$.
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which angles measure is equal to the sum of the measures of ∠bac and ∠b…
B. \( \angle CBE \)
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what is always true about the angles of an isosceles triangle? all thre…
At least two of the angles are congruent.
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what is the value of x? art not to scale. x = 23 x = 35 x = 58 x = 93
\(x = 93\)
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triangle abc is isosceles. what is the length of \\overline{ac}? 11 23 …
40
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trigonometric ratios in right triang... find tan(α) in the triangle. ch…
\(\frac{24}{7}\)
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the value of x is. 84 96 132 264
96
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triangle qrs has the angle measures shown. what is the measure of the o…
\(108\)
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consider the triangle. which shows the order of the angles from smalles…
angle B, angle A, angle C
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in the triangles, \\( \\overline { b c } \\cong \\overline { d e } \\) …
longer than
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trigonometric ratios in right triang... find $\\cos(\\beta)$ in the tri…
$\frac{8}{17}$
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nigel and mia are searching for a treasure chest under water. the strai…
Mia is closer because her distance to the chest is opposite the smaller angle.
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triangle jkl is isosceles. the measure of angle j is 72° and the measur…
Angle L is a base angle and measures \(72^{\circ}\).
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triangle xyz is isosceles. angle y measures a°. what expression represe…
\(180 - 2a\) (the fourth option)
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if isosceles triangle abc has a 130° angle at vertex b, which statement…
\(m\angle A + m\angle B=155^{\circ}\)
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what is the value of x? x = 2.25 x = 11.25 x = 13 x = 22 (2x + 10)° (6x…
\(x = 11.25\)
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based on the diagram, which expresses all possible lengths of segment a…
\(27\lt AB\lt91\) (assuming there was a typo in the options and it should be \(37\lt AB\lt91\) based on the formula, but among the given options, if we consider the closest correc…
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trigonometric ratios in right triang... find \\( \\sin ( \\alpha ) \\) …
\(\sin(\alpha)=\frac{12}{37}\)
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which angle is an adjacent interior angle to ∠jkm? ∠jkl ∠mkl ∠klm ∠lmk
\(\angle MKL\)
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the lengths of the sides of triangle xyz are written in terms of the va…
\(m\angle Y<m\angle Z<m\angle X\) (the second option)
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which statements regarding the diagram of (\triangle ebc) are true? sel…
B. $\angle DEC$ is an exterior angle, C. $\angle ABE$ and $\angle EBC$ are supplementary angles, E. $\angle BEC$ is a remote interior angle to exterior $\angle BCF$
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consider triangle wxy. which statement about the angles is true? angle …
Angle \(W\) is greater than angle \(Y\).
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khan academy find \\( \\tan ( \\beta ) \\) in the triangle. choose 1 an…
C. $\frac{5}{12}$
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triangle knm is shown. what is true about the sides of knm? kn = nm kn …
\(KN = NM\)
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3. two circles share the same center as pictured below. the small circl…
204.1
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what is ( mangle abc )? ( mangle abc = 15^{circ} ) ( mangle abc = 45^{c…
\(m\angle ABC = 60^{\circ}\)
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a regular pentagon is created using the bases of five congruent isoscel…
\(54^{\circ}\)
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3. mr. owky has a circumference of 144.5 inches. what is the radius of …
23
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1. circle a has a radius of 24.2 centimeters. what is the circumference…
\( 151.05\ \text{cm} \)
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the figure shows 1 of a circle that is shaded with a radius of 10 feet.…
$79$
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1. the population of tunaville was 340 less than the population of thor…
1. \(4700\) 2. a. Wall 3. \(\frac{3}{4}\) 4. \(25\%\) 5. \(1900\), \(2000\), \(2100\)
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1- draw a triangle which has two perpendicular sides.
A right - triangle can be drawn as described above. For example, a triangle with vertices at $(0,0)$, $(0,3)$ and $(4,0)$ (assuming a coordinate system) where the sides along the …
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in the xy-plane, the graph of $(2x^{2}+14x)+2y^{2}-8y = 17.5$ is a circ…
B. \((-3.5,2)\)
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what is the final measure of angle k after substituting x = 8 into the …
A. \(33^{\circ}\)
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7. in the xy - plane, the graph of $3x^{2}+18x + 3y^{2}+12y = 9$ is a c…
D. \((-3,-2)\)
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6. which of the following is an equation of a circle in the xy - plane …
A. \((x + 2)^2+(y - 3)^2 = 53\)
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5. in the xy - plane, the graph of ( x ^ { 2 } + y ^ { 2 } - 6 x + 2 y …
B. 3
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4. a circle in the xy - plane has equation $(x - 4)^{2}+(y + 3)^{2}=36$…
B. \((-2,0)\)
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un silo tiene forma de cono. el silo mide 9 metros de altura y el diáme…
\(4578.12\)
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una empresa de camiones debe trasladar una pila de caliza. la pila de c…
\(157\)
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completing the square & distance practice questions r on the following …
A. \((-3,-5)\)
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en una empresa usan vasos de papel en forma de cono para el dispensador…
\( 15386 \)
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1. a circle in the xy - plane has center (1,3) and radius 4. which of t…
C. \((x - 1)^2+(y - 3)^2=16\)
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a yogurt company recommends that its yogurt be stored at 37 degrees fah…
B. Recommended Storage Temperatures with solid circles at 34 and 40 and a line segment between them on the number line.
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rajah 3 menunjukkan keratan rentas pinu hadapan sebuah bangsa di mana a…
(a) \(r = 5\mathrm{m}\) (b)(i) The perimeter is approximately \(19.2\mathrm{m}\) (b)(ii) The area is approximately \(23.1\mathrm{m}^{2}\)
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6 rajah 3 menunjukkan keratan rentas pintu hadapan sebuah bangsal di ma…
\(r = 5\ m\)
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it was confusing and frightening, not in a way i could untangle. i was …
He thinks the fighting is foolish and wasteful.
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3.13 review the skill underline the gerund or gerund phrase in each of …
1. Underline: *Living to 107*; Function: S 2. Underline: *being the last survivor of the Triangle Shirtwaist Factory fire of 1911*; Function: OP 3. Underline: *the killing of 146 …
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5. find the perimeter of the garden shown below. 40 feet 20 feet 40 feet
\(120\) feet
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this is a parallelogram. which shows the parallelogram cut and rearrang…
40
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5. what fraction of the hexagon below is shaded?
\(\frac{1}{6}\)
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graph the image of square j k l m after a translation 5 units up.
Plot the points \(J'(-10,1)\), \(K'(-10,0)\), \(L'(-9,0)\), \(M'(-9,1)\) and connect them.
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graph the image of square bcde after a translation 4 units right.
Plot the points \((0,3)\), \((0,-5)\), \((8,-5)\), \((8,3)\) and connect them.
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y = ax - b gives the height y of an angled ladder, x ft from its base. …
D. \(x=\frac{y + b}{a}\)
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find the perimeter and area of the figure. the perimeter of the figure …
The perimeter of the figure is \(36\) yards. The area of the figure is \(60\) square yards.
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#15 what is the most specific name of the quadrilateral below?
Rectangle
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#20 what is the area of a rectangle with a length of 14 cm and a width …
The area of the rectangle is \(126\) \(cm^{2}\)
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33. a line with a positive slope lies in which quadrants? only in quadr…
Quadrants I and III
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given: ∠abc ≅ ∠def and ∠ghi ≅ ∠def prove: m∠abc = m∠ghi assemble the pr…
- **Statements**: - \( \angle ABC\cong\angle DEF\) - \( \angle GHI\cong\angle DEF\) - \(m\angle ABC = m\angle DEF\) - \(m\angle GHI=m\angle DEF\) - \(m\angle ABC=m\angle GHI\) - *…
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rotate △stu 90° clockwise around the origin.
The coordinates of the vertices of the rotated triangle \(\triangle S'T'U'\) are \(S'(-4,2)\), \(T'(-7,1)\), \(U'(-7,4)\)
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rotate $\triangle jkl$ $90^{circ}$ counterclockwise around the origin.
The coordinates of the rotated triangle \(J'K'L'\) are \(J'(2,2)\), \(K'(2,10)\) and \(L'(8,2)\)
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20. slope = \\frac{\\triangle y}{\\triangle x}=\\frac{y_{2}-y_{1}}{x_{2…
A. True
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#2 what is the area of a rectangle with a length of 5 cm and a width of…
The area of the rectangle is \(15\space cm^{2}\).
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match the statement to the property it shows. if ab = cd, then cd = ab.…
- Segment \(CD\) is congruent to segment \(CD\): reflexive property - If \(MN = XY\), and \(XY=AB\), then \(MN = AB\): transitive property - If \(AB = CD\), then \(CD=AB\): symmet…
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7. select all that apply: the greek letter delta is used to mean \chang…
- used to mean "change in" - \(\triangle\)
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question 6 6. slope = △y/△x means? slope= triangle y ÷triangle x steepn…
Slope is the Change in y ÷ the Change in x
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find the value of b. 44. ( b ^ { circ } =? ) ( 36 ^ { circ } ) ( 116 ^ …
\(116^{\circ}\)
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43. given two exterior angles of a triangle are 120° and 145°, what is …
95 degrees
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find the value of a. 42. a°=? 45° 73° 107° 253°
\(73^{\circ}\)
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41. if one of the interior angles of a triangle is 50 degrees, what is …
130 degrees
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. find the value of $n$. 40. $n^{circ}=?$
\(66^{\circ}\)
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39. what is the measure of each angle in an equilateral triangle? 90 de…
60 degrees
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38. if one interior angle of a triangle is 50 degrees and another is 60…
70 degrees
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find the value of c. 37. ( c^{circ}=? ) ( 72^{circ} ) ( 73^{circ} ) ( 1…
\(107^{\circ}\)
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36. if one exterior angle of a triangle is 80 degrees and another is 11…
170 degrees
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35. what is the sum of the exterior angles of any triangle? 180 degrees…
360 degrees
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find the value of $b$. 34. $b^{\\circ}=?$
\(100^{\circ}\) (the third option)
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33. what is the measure of an exterior angle of a triangle, given the m…
135 degrees
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32. in a triangle, if one of the exterior angles measures 120 degrees, …
120 degrees
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31. the exterior angle of a triangle is equal to the sum of which of th…
The two non - adjacent (remote) interior angles.
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find the value of z. 30. ( z ^ { circ } =? ) ( 52 ^ { circ } ) ( 71 ^ {…
\(71^{\circ}\)
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29. given an interior angle of 45 degrees, what would be the measure of…
135 degrees
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28. in a triangle, the second angle is 40° larger than the first, and t…
\(27^{\circ}\)
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27. one angle of a triangle is twice the size of the second angle, and …
\(20^{\circ}\)