幾何
三角形、円、座標幾何、証明問題。
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if a circle has a diameter of 20mm then what is the area of this circle…
The option with "314.2 mm²" (assuming the last option is 314.2 mm², as per the calculation \( A=\pi r^{2}=3.142\times(10)^{2}=314.2 \, \text{mm}^2 \) where \( r = \frac{20}{2}=10 …
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the diameter of a steel train wheel is 65 cm. what is the circumference…
204.23 cm
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use the pythagorean theorem to find the length of the missing side of t…
10
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θ is an acute angle and sin θ and cos θ are given. use identities to fi…
\( \frac{25}{24} \)
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in this balanced hanger diagram, x represents the weight of the triangl…
The equation is \(x + 3y=3x + y\). When \(x = 0\), \(y = 0\).
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determine the unknown side lengths. 12 m 45(^{circ}) (x=) (y=)
\(x = 12\space m\), \(y = 12\sqrt{2}\space m\) (or approximately \(16.97\space m\))
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use the pythagorean theorem to find the length of the missing side of t…
6
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use a calculator to find the value of the acute angle, θ, to the neares…
\(31\)
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a plane rises from take - off and flies at an angle of ( 5^{circ} ) wit…
8605
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Angle - Angle - Angle (AAA), so the triangles cannot be proven to be congruent.
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in \\( \\triangle u v w, \\overline{u w} \\) is extended through point …
$37^{\circ}$
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a plane rises from take - off and flies at an angle of 13° with the hor…
\(2889\)
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in $\\triangle stu$, $m\\angle s=(5x + 9)^{circ}$, $m\\angle t=(3x + 8)…
\(104^\circ\)
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in \\( \\triangle vwx \\), \\( \\overline { vx } \\) is extended throug…
The measure of $\angle WXY$ is $\boldsymbol{47^{\circ}}$.
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a plane rises from take - off and flies at an angle of 13° with the hor…
2889
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in \\( \\triangle uvw, m \\angle u=(x + 11)^{\\circ}, m \\angle v=(4 x-…
\(23^\circ\)
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which equation can you use to solve for θ in the figure shown? ○ ○ ○ do…
$\sin(\theta) = \frac{45}{54.8}$ (the third option)
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to find the distance across a lake, a surveyor took the measurements in…
\( 398 \)
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a side of the triangle below has been extended to form an exterior angl…
\(15\)
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a side of the triangle below has been extended to form an exterior angl…
\(x = 62\)
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a side of the triangle below has been extended to form an exterior angl…
\(x = 108\)
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use the triangle shown on the right to complete the statement: cos (75^…
54.5
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 8\)
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question the measures of the angles of a triangle are shown in the figu…
\(x = 8\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 9\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 45\)
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find a cofunction with the same value as the given expression. sin 51° …
D. $\sin 51^{\circ}=\cos 39^{\circ}$
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question 10 of 10 assume \\( \\triangle a b c \\cong \\triangle d e f \…
A. \(63^{\circ}\)
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question 9 of 10 which property is illustrated by the following stateme…
B. Symmetric
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question 8 of 10 you can find the _______ parts of two congruent triang…
A. corresponding
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use the triangle shown to find the ratios. cos(a) = tan(c) =
s: - \(\cos(A) = \boldsymbol{\frac{5}{13}}\) - \(\tan(C) = \boldsymbol{\frac{5}{12}}\)
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question 7 of 10 assume that \\( \\triangle g h i \\cong \\triangle l m…
B. \(\overline{HI}\cong\overline{NM}\), F. \(\angle L\cong\angle G\)
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the measures of the angles of a triangle are shown in the figure below.…
\(66\)
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question 6 of 10 which statement is an example of the transitive proper…
C. If \(\triangle KLM\cong\triangle PQR\) and \(\triangle PQR\cong\triangle STU\), then \(\triangle KLM\cong\triangle STU\)
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the measures of the angles of a triangle are shown in the figure below.…
43
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 31\)
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question in △rst, ∠s ≅ ∠r, rs = 20 and tr = 16. find st.
$16$
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in △opq, \\overline{op} \\cong \\overline{qo} and m∠q = 12°. find m∠o.
\(156^\circ\)
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question 4 of 10 if \\( \\triangle abc\\cong\\triangle mno \\) and \\( …
A. True
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use a calculator to find the value of the acute angle θ in radians, rou…
\(1.143\)
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in \\( \triangle p q r, overline{p q} cong overline{r p} \\) and \\( m …
\(m\angle R = 61.5^\circ\)
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question 3 of 10 assume \\( \\triangle r s t \\cong \\triangle m n o \\…
B. 6
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question in \\( \\triangle o p q, \\overline{q o} \\cong \\overline{p q…
\(62^\circ\)
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in △fgh, ∠f ≅ ∠h, hf = 13 and gh = 11. find fg.
$FG = \boxed{11}$
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answer scalene right equilnternal isosceles acute isosceles obtuse scal…
Isosceles Acute
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determine the type of triangle that is drawn below. answer isosceles ri…
Equilateral
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blueprint dimensions and notes: when measuring with angular dimensions,…
60
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find the length of the arc, s, on a circle of radius r intercepted by a…
The exact arc length is \( \frac{323\pi}{9} \) feet, and the approximate length (rounded to two decimal places) is \( 112.75 \) feet. For the boxed decimal answer: \( \boxed{112.7…
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find the length of the arc, s, on a circle of radius r intercepted by a…
\(\frac{323\pi}{9}\)
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answer isosceles acute scalene right isosceles right equilateral scalen…
Scalene Obtuse
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answer isosceles right scalene obtuse isosceles acute scalene acute sca…
Scalene Right
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find the length of the arc, s, on a circle of radius r intercepted by a…
The exact arc length is \( \frac{77\pi}{36} \) inches and the approximate arc length (rounded to two decimal places) is \( 6.72 \) inches.
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how long is the arc intersected by a central angle of \\( \\frac{\\pi}{…
7.1 cm (corresponding to the option with 7.1 cm, e.g., if the options are labeled, say D. 7.1 cm, then D. 7.1 cm)
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in the rhombus, ac = 2 cm, and db = 4 cm, then the area of the rhombus …
The area of the rhombus is \( 4 \, \text{cm}^2 \).
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△pns can be mapped onto △dra by a reflection. if ns = 24, find ra. answ…
24
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which expression converts \\( \\frac{\\pi}{4} \\) radians to degrees? \…
\( \boldsymbol{\frac{\pi}{4} \cdot \frac{180^\circ}{\pi}} \) (the second option)
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calculate the area of the trapezium/trapezoid shown.
The area of the trapezoid is \( 59.5\space\text{mm}^2 \)
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quadrilateral ( y e u v ) can be mapped onto quadrilateral ( d p l c ) …
\(150\)
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the parallel sides a and b of the trapezium/trapezoid are: a = 6 cm, b …
The area of the trapezium/trapezoid is \( 40\space\text{cm}^2 \).
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which equation gives the length of an arc, s, intersected by a central …
\( s = 4\cdot3 \) (the last option, assuming the dot is a multiplication symbol)
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question \\( \\triangle n x v \\cong \\triangle t l e \\). if \\( v n =…
$ET = 21$
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a circle has a radius of 5 ft, and an arc of length 7 ft is made by the…
\(\boldsymbol{\theta=\frac{7}{5}}\) (corresponding to the option \(\theta=\frac{7}{5}\))
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a circle has a central angle of 6 radians that intersects an arc of len…
\( r=\frac{14}{6} \) (corresponding to the option \( r=\frac{14}{6} \))
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what is the area of this rhombus?
The area of the rhombus is \(120\) square millimeters.
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question quadrilateral ( oykl cong ) quadrilateral ( zasx ). if ( lo = …
can
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what is the area of this parallelogram with: b (base) = 15 mm h (height…
The area of the parallelogram is \( 285 \) square millimeters.
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find the length of the arc, s, on a circle of radius r intercepted by a…
The exact arc length in terms of \( \pi \) is \( \frac{77\pi}{36} \) inches (and the approximate value is \( 6.72 \) inches). For the exact answer as required first, the answer is…
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question △gez≅△vlr. if m∠g=85° and m∠e=71°, find m∠r. answer attempt 1 …
can
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what is the area of this parallelogram with: b (base) = 5 mm h (height)…
The area of the parallelogram is \( 45 \) square millimeters (or \( 45 \, \text{mm}^2 \)).
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question △gto≅△fhy. if og = 25, find fh. answer attempt 2 out of 2 fh c…
\(25\)
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you board a ferris wheel at ground level and travel to the very top, wh…
50
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you board a ferris wheel at ground level and travel to the very top, wh…
\(180^{\circ}\) (already marked as correct in the problem) ### Second Sub - Question (Radian Equivalent of \(180^{\circ}\))
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for a rectangular piece of land on a cattle station where: b = 4.9 km, …
The area of the rectangular piece of land is \( 8.085 \) square kilometers.
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you board a ferris wheel at ground level and travel to the very top, wh…
180
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what is the area of the given triangle given that: h (height) = 3.1 m b…
The area of the triangle is \( 4.03 \, \text{square meters} \) (or \( 4.03 \, \text{m}^2 \)).
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the minute hand of a clock is 8 inches long and moves from 12 to 8 oclo…
$\frac{32}{3}\pi$
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consider the isosceles triangle, with the following dimensions: ab = ad…
The area of the isosceles triangle is \( 12 \, \text{cm}^2 \).
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convert the angle in radians to degrees. \\frac{7\\pi}{6} radians \\fra…
\( 210 \)
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how long is the arc intersected by a \\( \\frac { 2 \\pi } { 3 } \\) ra…
\(\frac{14\pi}{3}\) feet ### Second Question (Radian Measure of \( 135^\circ \))
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how long is the arc intersected by a \\( \\frac { 2 \\pi } { 3 } \\) ra…
\(\frac{14\pi}{3}\) feet (corresponding to the option \(\frac{14\pi}{3}\) feet)
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convert the angle in radians to degrees. \\( \\frac{\\pi}{3} \\) radian…
\( 60 \)
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convert the angle in radians to degrees. 15 radians 15 radians = □° (ro…
\( 859.44 \)
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from the observation deck of a skyscraper, isabella measures a 45° angl…
\(1036.00\)
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skylar leans a 24 - foot ladder against a wall so that it forms an angl…
\(12\)
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assignment 2.1 score: 4/5 4/5 answered question 5 write the equation of…
\((x - 9)^2+(y - 7)^2=136\)
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from the observation deck of a skyscraper, marques measures a 67° angle…
\(445.3\)
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find a positive angle less than 360° that is coterminal with the given …
\(310\)
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from his eye, which stands 1.62 meters above the ground, montraie measu…
\(583.55\) meters
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find a positive angle less than ( 2pi ) that is coterminal with the giv…
\(\frac{9\pi}{5}\)
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4 in rectangle abcd on the right, point o is the intersection point of …
\(35^\circ\) ### Problem 4 (2)
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find a positive angle less than 360° that is coterminal with the given …
\(20\)
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convert 1 radian to degrees. round your answer to the nearest degree. c…
\( 57 \) ### Second Sub - Question: Convert \( \frac{3\pi}{8} \) radians to degrees.
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two cities, a and b, are 5500 miles apart. the radius of the earth is a…
$\theta \approx 78.78^\circ$
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two cities, a and b, are 5500 miles apart. the radius of the earth is a…
\( \theta = 1.375 \) radians
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if \\( \\theta = 33 ^ { \\circ } \\), find the distance between two cit…
2304
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convert the following angle in degrees to radians. 80° 80° = □ radians …
\( \frac{4}{9}\pi \)
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find the radian measure of the central angle of a circle of radius ( r …
\(\frac{12}{5}\)
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find the radian measure of the central angle of a circle of radius ( r …
\( 1 \)
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the following statements (1) to (4) represent the conditions for quadri…
\( AD = BC \)
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12 the diagram shows shape x. make a copy of the diagram. a draw the im…
To draw the image in part (a), follow the sequence of transformations: reflection in \(x=-2\), then \(90^{\circ}\) clockwise rotation, then translation \(\begin{pmatrix}3\\4\end{p…