Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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is the graph of this equation a horizontal or vertical line? x = 0 hori…
vertical line
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find tv. triangle with right angle at t, angle at u is 42°, length of u…
$5.0$
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find st. s t 54° 5 r write your answer as an integer or as a decimal ro…
$8.5$
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is the graph of this equation a horizontal or vertical line? x = -2 hor…
vertical line
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is the graph of this equation a horizontal or vertical line? x = -7 hor…
vertical line
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is the graph of this equation a horizontal or vertical line? x = 4 hori…
vertical line
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your membership grace period expires on 1/28/2026. activate now review:…
26
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a composite figure consists of two rectangles and a triangle. what is t…
# Explanation: ## Step1: Analyze the composite figure The composite figure can be divided into three parts: two rectangles and one triangle. Let's identify the dimensions of each …
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m n 24 127 29 p claim i: mp > mn claim ii: np < mn whose claim is true?…
c) Both claims are true.
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the composite figure shown consists of two identical triangles enclosed…
B. 150 square units
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find w. triangle with angles 60°, 30°, right angle, side 11 ft, side w …
22 feet
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find u. right triangle with right angle, one leg 16 m, angles 60° and 3…
$16\sqrt{3}$ meters
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find d. right triangle with right angle, 30° angle, 60° angle, hypotenu…
$20\sqrt{6}$ inches
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find t. right triangle with right angle, one leg 17√3 m, angles 30° and…
34 meters
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find y. image of a right triangle with a right angle, one angle 60°, on…
$6\sqrt{6}$ kilometers
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find c. triangle with 30°, 60°, right angle, side 19√6 ft, side c write…
$38\sqrt{2}$ feet
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find g. right triangle with right angle, one leg labeled (2sqrt{2}) yd,…
$4\sqrt{2}$ yards
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find t. triangle image with 30°, 60°, right angle, side 12√2 km, and t …
$4\sqrt{6}$ kilometers
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find w. triangle with 30°, 60°, right angle, 39 mi side write your answ…
$39\sqrt{3}$ miles
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find z. triangle with angles 45°, 45°, 90°, hypotenuse 2 yd, leg z writ…
$\sqrt{2}$ yards
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find t. right triangle with right angle, 60° angle, 30° angle, hypotenu…
3 feet
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find y. triangle with 45°, 45°, right angle, one leg 7√3 mm, hypotenuse…
$7\sqrt{6}$ millimeters
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find g. right triangle with right angle at bottom left, 60° at top, 30°…
$2\sqrt{3}$ meters
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find t. right triangle with right angle, one leg 7√6 in, angle 30° at t…
$14\sqrt{2}$ inches
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find j. right triangle with a 60° angle, a 30° angle, right angle, hypo…
$2\sqrt{6}$ miles
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find d. triangle with right angle, 60° angle, 30° angle, one leg 4 mi, …
$8$ miles
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find z. image of a right triangle with a 30° angle, a 60° angle, one le…
3 miles
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find k. triangle with a right angle, two 45° angles, one leg 3 mm, the …
$3\sqrt{2}$ millimeters
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unit 2.0 examples: 1. 2. 3. 4. 5. (handwritten 3×3) 6. 7. 8. 9. 10. cir…
To solve these problems, we analyze the examples to find the pattern: ### Example 1 (Left): - Inner circle: \( 6 \) (top), \( 4 \) (bottom) - Outer circle: \( 36 = 6^2 \) (top), \…
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handwritten step-by-step work legibly and circle your answer. need to s…
$\det = -24$ Since the determinant is not equal to 0, the system of linear equations associated with this matrix has a unique solution.
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read 7.1 bisectors of triangles (textbook pgs. 406-410) perpendicular b…
\( 7.5 \) ### Problem 2: Find \( BF \)
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lp 6 day 9 task 18 reason quantitatively a wall panel needs to be cut t…
\( m\angle AFD = 120^\circ \), \( m\angle FDC = 60^\circ \)
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angles of a triangle (textbook pgs. 335 - 338) 6.1 the acute angles of …
\( 53^\circ \) ### Problem 2:
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find the measure of each numbered angle. 1. 2. find each measure. 3. ( …
The measure of the numbered angle (let's assume it's the top angle) is \(70^\circ\) ### Problem 3: \(m\angle1\)
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read 6.1 angles of a triangle (textbook pgs. 335-338) exterior angle th…
\( m\angle 1 = 115^\circ \) ### Exercise 2: Find \( m\angle 1 \) and \( m\angle 2 \) #### For \( m\angle 1 \):
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parallelograms in the diagram above two parallel lines intersected two …
### Part 1: Pairs of Parallel Lines From the diagram (a parallelogram formed by intersecting parallel lines), we identify the parallel line pairs: - Line \( AB \) is parallel to l…
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part 1: 1. find the sum of the measures of the interior angles of a con…
\( 12240^{\circ} \) #### 2.
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find each measure. 1. ( mangle d ) 2. ( mangle l ) for trapezoid ( hjkl…
\( 55^\circ \) ### Problem 2: \( m\angle L \) (Kite \(JKLM\))
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quadrilateral abcd is a rhombus. find each value or measure. 1. if ( ma…
\(60^\circ\) ### Problem 2
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algebra quadrilateral rstu is a rectangle. 1. if uz = x + 21 and zs = 3…
\(US = 78\) ### Problem 2
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example find x and y so that fghj is a parallelogram. fghj is a paralle…
\( x = 7 \), \( y = 4 \) ### Problem 2
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exercises find the value of each variable. 1. since diagonals bisect ea…
\( x = 4 \), \( y = 2 \) ### Problem 2
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what will be the width of the rectangle? length — 7 meter. width $x^2 -…
The width of the rectangle is \( x - 8 \) meters.
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the area of the rectangle below is $x^2 + 13x + 36$ square meters and l…
The width of the rectangle is \( x + 4 \) meters.
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the area of the rectangle below is $x^2 + 8x + 15$ square meters. one s…
The length of the rectangle can be determined from the expression \( \frac{x^{2}+8x + 15}{x + 3} \) (which simplifies to \( x + 5 \) meters).
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the area of the rectangle below is $x^2 - 11x + 30$ square length $x - …
The width of the rectangle is \( x - 6 \) meters.
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cai spots an airplane on radar that is currently approaching in a strai…
13491.7 feet
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cai spots an airplane on radar that is currently approaching in a strai…
13491.7 feet
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5. (a) (b) the perimeter of a sector of another circle is 14.8 cm. the …
The area of the sector is \( 13.6 \) square centimeters.
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find xy. triangle with right angle at x, angle at w is 58 degrees, side…
\( 7.7 \)
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find uv. triangle with right angle at w, angle at u is 50 degrees, side…
\( 6.1 \)
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find ef. triangle with right angle at f, angle at e is 25 degrees, hypo…
\( 7.1 \)
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find gi. triangle image with right angle at i, angle at h is 64 degrees…
\( 9.0 \)
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find de. write your answer as an integer or as a decimal rounded to the…
\( 4.3 \)
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find pr. right triangle pqr with right angle at r, angle at p is 22 deg…
\( 7.4 \)
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find ij. triangle with right angle at h, ih = 4.8, angle at j is 50 deg…
\( IJ \approx \boxed{6.3} \)
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find uv. triangle image with right angle at u, side wu labeled √51, ang…
\( 3.2 \)
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find ef. triangle image with right angle at e, angle at f is 25°, ed is…
\( 5.7 \)
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find ik. triangle image with right angle at i, angle 51° at j, and jk =…
\( 7.0 \)
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find de. triangle def with right angle at d, angle at e is 27 degrees, …
\( 6.0 \)
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find ef. triangle def with right angle at e, hypotenuse df = √86, angle…
\(6.9\)
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find cd. triangle image with right angle at e, de = 6, angle at d is 40…
\( 7.8 \)
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find ik. write your answer as an integer or as a decimal rounded to the…
\( 9.9 \)
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find rs. right triangle rqs with right angle at r, hypotenuse qs = 7, a…
\( 3.6 \)
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find fg. right triangle fge with right angle at g, hypotenuse fe = 4, a…
\( 2.6 \)
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find the sine, cosine, and tangent of $\\angle e$. triangle image with …
\( \sin(E) = \boldsymbol{\frac{\sqrt{391}}{34}} \) \( \cos(E) = \boldsymbol{\frac{3\sqrt{85}}{34}} \) \( \tan(E) = \boldsymbol{\frac{\sqrt{115}}{15}} \)
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quadratic relationships 24 select the correct ans select the graph of t…
A. The graph with a downward - opening parabola and vertex at (0, 1)
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find the sine, cosine, and tangent of $\\angle g$. (image of right tria…
\( \sin(G) = \boldsymbol{\frac{7\sqrt{71}}{71}} \) \( \cos(G) = \boldsymbol{\frac{\sqrt{1562}}{71}} \) (or \( \frac{\sqrt{22}\sqrt{71}}{71} \)) \( \tan(G) = \boldsymbol{\frac{7\sq…
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a parabola has an x - intercept of - 1, a y - intercept of - 3, and a m…
D (assuming the option D's graph matches the derived properties: upward opening, vertex at \(x = 1\), \(y=-4\), \(y\)-intercept \(-3\), \(x\)-intercept at \(-1\))
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type the correct answer in the box. use numerals instead of words. if n…
1
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select the correct answer. youre given side ab with a length of 6 centi…
C. 2
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select the correct answer. youre given three angle measurements of 30°,…
D. infinitely many
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find the sine, cosine, and tangent of $\\angle q$. right triangle qsr w…
\( \sin(Q)=\boldsymbol{\frac{\sqrt{286}}{26}} \) \( \cos(Q)=\boldsymbol{\frac{\sqrt{390}}{26}} \) \( \tan(Q)=\boldsymbol{\frac{\sqrt{165}}{15}} \)
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find the sine, cosine, and tangent of ∠d. (there is a right triangle wi…
\(\sin(D)=\frac{2\sqrt{15}}{15}\) \(\cos(D)=\frac{\sqrt{165}}{15}\) \(\tan(D)=\frac{2\sqrt{11}}{11}\)
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in wexford, the library is 9.4 miles due south of the courthouse and 2.…
9.7
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kensington is 5.8 miles due north of the airport, and fairview is 5.8 m…
8.2
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three ballet dancers are positioned on stage. jane is straight behind e…
\(3.3\)
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gwen takes a rectangular piece of fabric and makes a diagonal cut from …
\( 3.2 \)
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an envelope is 7 inches wide, and it measures 8 inches along the diagon…
\(3.9\)
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to get to his parents house, tyler would have to drive due north 6 kilo…
\(8.5\)
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y + 3 = \\frac{4}{3}(x + 3)
The line \( y=\frac{4}{3}x + 1 \) can be graphed by plotting the points \( (0,1) \) and \( (3,5) \) (or other points found from the equation) and drawing a line through them.
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use the drawing tools to form the correct answer on the graph. graph th…
# Explanation: ## Step1: Identify the form of the equation The given equation is \( y + 2=\frac{3}{5}(x + 3) \), which is in the point - slope form \( y - y_1=m(x - x_1) \), where…
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3 enter the correct answer in the box. use long division to determine t…
\(4x - 9\)
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if $\\angle rsu \\cong \\angle tsu$, $ru = v + 18$, and $tu = 3v$, what…
$9$
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26. the area of the isosceles triangle is 60 square centimeters. use th…
The equation is $2s + 12 = 38$, and the length of each of the two equal sides is 13 centimeters.
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26. the area of the isosceles triangle is 60 square centimeters. use th…
The equation is $2s + 12 = 38$, and the length of each of the two equal sides is 13 centimeters.
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use the drawing tools to form the correct answer on the graph. graph th…
# Explanation: ## Step1: Identify the form of the equation The given equation is \( y + 2=\frac{3}{5}(x + 3) \), which is in the point - slope form \( y - y_1=m(x - x_1) \), where…
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in a scale drawing of a painting, 1 centimeter represents 8 inches. sca…
\(32\) ### Part (b)
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6 find the reference angle. a) \\(\\frac{17\\pi}{15}\\) b) \\(299^\\cir…
a) $\frac{2\pi}{15}$ b) $61^\circ$ c) $\approx 0.34$ radians
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what is the perimeter of kite obde? 12 units 22 units 38 units 58 units…
38 units
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given: ∠aob is a central angle and ∠acb is a circumscribed angle. prove…
side \( CO \) is congruent to side \( CO \)
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what is the y-coordinate of point d? (with a coordinate grid image show…
5
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what is the y-coordinate of point t?
-2
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what is the x-coordinate of point c?
$-4$
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what is the y-coordinate of point t?
-2
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what is the y-coordinate of point t?
2
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what is the measure of angle oac if major arc ab measures 220 degrees? …
\(55^\circ\)
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use the diagram to complete the statements. the measure of minor arc ef…
The measure of minor arc EF is \( \boldsymbol{71}^\circ \). The measure of angle DAB is \( \boldsymbol{35.5}^\circ \).
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analyzing central and circumscribed angles what is the measure of angle…
$71^\circ$ (corresponding to the option "71°")
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the measure of central angle lop is °. the length of lp is units. the l…
The measure of central angle LOP is \( 180^\circ \). The length of LP is 17 units. The length of MP is 15 units.