幾何
三角形、圓、解析幾何與證明題。
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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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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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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…
10
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use the drawing tools to form the correct answer on the graph. graph th…
To graph the line \( y + 2=\frac{3}{4}(x + 3) \), plot the points \((-3,-2)\) and \((1,1)\) (found using the point - slope form and the slope) and draw a straight line through the…
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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 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.
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identifying properties of angles intercepting the same arc use the diag…
1. The measure of angle EJB is \(\boldsymbol{\text{one - half}}\) the measure of angle BOE. 2. The measure of angle BDE is \(\boldsymbol{\text{one - half}}\) the measure of angle …
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which statements are true? check all that apply. \\( m\\overarc{cb} = 1…
- \(m\widehat{CB} = 120^{\circ}\) (True) - \(m\widehat{CB}=60^{\circ}\) (False) - \(m\angle COB = 2(m\angle CAB)\) (True) - \(m\angle COB = 120^{\circ}\) (True) - \(m\angle COB=\f…
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find the area. use your calculators version of \\(\\pi\\). round your a…
314.2 square miles
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sandra takes a sheet of paper and makes a diagonal cut from one corner …
10
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find the radius of a circle whose area is 211.2 square units. use your …
8.2 units
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from her home, sasha would have to walk 4 kilometers north to get to he…
12
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find the circumference of the circle. use your calculators value of π. …
67.9 units
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find the radius of a circle whose circumference is 32.7 units. use your…
5.2 units
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q.5 special right triangles find n. right triangle with a right angle, …
\(\sqrt{6}\)
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what is the perimeter of kite acbo? 31 units 56 units 62 units 64 units
62 units
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find the area of the figure below. all angles that look like right angl…
55
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find the shaded area of the figure below. round your answer to the near…
121.1 square units
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find the area of the figure. area = square units
24
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find the area of the figure below. (there is a coordinate grid with a f…
56.5 units squared
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find the circumference of the circle below. use your calculators versio…
25.1
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find the area of the circle below. use your calculator’s version of pi.…
50.3
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central angle aob and inscribed angle acb intercept the same arc. conca…
First dropdown: always Second dropdown: sometimes
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find the length of the darkened arc. circle with radius 17 mi, central …
B. $\frac{187}{12}\pi$
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find the area of the sector. leave your answer in terms of pi. 18 cm 27…
243$\pi$
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find the area of the sector. leave your answer in terms of pi. (there i…
$\frac{245}{6}\pi$
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find t. triangle image with right angle, 3√2 in side, 60° angle, 30° an…
\(3\sqrt{6}\)
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explore polygons that can be created by radii and chords by following t…
a right
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explore polygons that can be created by radii and chords by following t…
triangle
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find z. 2 cm 45° 45° z write your answer in simplest radical form. □ ce…
\( 2\sqrt{2} \)
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find d. 9√2 yd 45° 45° d write your answer in simplest radical form. □ …
9
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7. find the area of the sector and round to the nearest hundredths. wy …
$35.30$ km²
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find c. right triangle with angles 30°, 60°, 90°; vertical leg is √6 mi…
\(\sqrt{2}\)
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find the tangent of ∠e. triangle with vertices d, e, c, right-angled at…
$\frac{15}{8}$
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the measure of arc lm is \\boxed{}°. the measure of angle mbl is \\boxe…
s: - The measure of arc \( LM \) is \( \boldsymbol{116^\circ} \). - The measure of angle \( MBL \) is \( \boldsymbol{58^\circ} \). - The measure of angle \( MNL \) is \( \boldsymb…
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solve the right triangle. triangle with right angle at h, hi = 6, gh = …
\( GI = 12 \) \( m\angle I = 60^\circ \) \( m\angle G = 30^\circ \)
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solve the right triangle. triangle with right angle at d, df = 10√21, d…
s: \( EF = 20\sqrt{21} \) \( m\angle F = 60^\circ \) \( m\angle E = 30^\circ \) (Wait, but earlier when calculating \( EF \), let's recheck Pythagorean theorem: \( (10\sqrt{21})^2…
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the hypotenuse of a 30°-60°-90° triangle measures $20\\sqrt{2}$ inches.…
\(10\sqrt{2}\)
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a 45°-45°-90° triangles leg has a length of $3\\sqrt{2}$ inches. what i…
6
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what are all the x and y-intercepts for the given graph? graph with poi…
- Intercepto con el eje x: $(-6, 0)$ - Intercepto con el eje y: $(0, 6)$
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which statements are true regarding the relationships between central, …
A. A circumscribed angle is created by two intersecting tangent segments. C. The measure of a central angle will be twice the measure of an inscribed angle that intercepts the sam…
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explore the angles of a circle by following these steps. 1. move point …
\( 180^\circ \)
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angles central and inscribed angles try it the measure of arc ab is °. …
- The measure of arc \( AB \) is \( \boldsymbol{50}^\circ \). - The measure of angle \( AOB \) is \( \boldsymbol{50}^\circ \). - The measure of angle \( BDA \) is \( \boldsymbol{2…
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explore the angles and arcs of a circle by following these steps. 1. mo…
2
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exit ticket questions – (01-09-26) 1) you are given a right triangle wh…
1) Sine ratio; it relates opposite/hypotenuse. 2) Sketch: Right triangle (ladder=hypotenuse, ground=adjacent, building=opposite); Equation: $\cos(65^\circ) = \frac{x}{12}$ 3) Sine…
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given: abcd is a parallelogram, \\(\\overline{ac}\\) bisects \\(\\angle…
$\overline{AC} \perp \overline{BD}$ --- To complete the proof table, the missing steps (after Step7) would be: ## Step8: **Statement**: $ABCD$ is a rhombus **Reason**: A parallelo…
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find the sine, cosine, and tangent of ∠a. a right triangle abc with rig…
$\sin(A)=\frac{4}{5}$, $\cos(A)=\frac{3}{5}$, $\tan(A)=\frac{4}{3}$
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prove: \\(\\overline{ac} \\perp \\overline{bd}\\). step\tstatement\trea…
$\overline{AC} \perp \overline{BD}$ is proven. The missing statement to advance the proof (aligning with the dropdown context) leads to establishing $ABCD$ is a rhombus, whose dia…
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find the sine, cosine, and tangent of ∠r. simplify your answers and wri…
$\sin(R)=\frac{15}{17}$, $\cos(R)=\frac{8}{17}$, $\tan(R)=\frac{15}{8}$
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step statement reason 1 abcd is a parallelogram \\(\\overline{ac}\\) bi…
In a triangle, sides opposite of congruent angles are congruent
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find the tangent of ∠g. simplify your answer and write it as a proper f…
$\frac{28}{45}$
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step 1: statement - abcd is a parallelogram, $overline{ac}$ bisects $an…
$\overline{AD} \cong \overline{CD}$ (matching the $\overline{XY} \cong \overline{WZ}$ statement type)
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find the tangent of ∠p. simplify your answer and write it as a proper f…
$\frac{15}{8}$
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find the tangent of ∠e. simplify your answer and write it as a proper f…
$\frac{80}{39}$
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find the tangent of ∠r. simplify your answer and write it as a proper f…
$\frac{56}{33}$
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find the sine of $\\angle i$. simplify your answer and write it as a pr…
$\frac{15}{17}$
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find the cosine of ∠b. simplify your answer and write it as a proper fr…
$\frac{5}{13}$
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find the cosine of $\\angle h$. simplify your answer and write it as a …
$\frac{5}{13}$
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find the sine of ∠s. simplify your answer and write it as a proper frac…
$\frac{12}{13}$
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6. consider the following two equations. $y = -4x + 4$ $y = -4x - 2$ 6a…
The two parallel lines are plotted: 1. Line $y=-4x+4$ passes through $(0,4)$ and $(1,0)$ 2. Line $y=-4x-2$ passes through $(0,-2)$ and $(1,-6)$
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given: abcd is a parallelogram, \\(\\overline{ac}\\) bisects \\(\\angle…
$\overline{AC} \perp \overline{BD}$ is proven.
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ryan uses the following steps to describe the translation. step 1 ident…
Step 2
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ryan wants to describe the translation shown on the grid below. ryan us…
The translation is 2 units to the right and 1 unit down (or in vector form \((2,-1)\))
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on a coordinate plane, point b(-6, 1) is translated to b(-3, -2). indir…
The translation rule is \((x,y)\to(x + 4,y - 4)\) (or \((x,y)\to(x + 4,y+(-4))\))
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which rule can be used to describe the x - coordinates in the translati…
\( x + 0 \) (the first option, assuming the options are: \( x + 0 \), \( x + 6 \), \( x - 6 \), etc. So the correct rule for \( x \)-coordinates is \( x + 0 \).
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which triangle is a translation of triangle p? graph of coordinate plan…
triangle B
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point a(7, 3) is translated to a(18,-9). which rule describes the trans…
\((x,y)\to(x + 9,y - 12)\) (the last option: \((x,y)\to(x + 9,y - 12)\))