幾何
三角形、円、座標幾何、証明問題。
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solve each triangle abc that exists. a = 76.6° a = 10.3 b = 9.5 select …
B. There is only one possible solution for the triangle. The measurements for the remaining angles \(B\) and \(C\) and side \(c\) are as follows. \(B = 63.7^\circ\) \(C = 39.7^\ci…
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rotation 3 enter the coordinates of the points on the orange figure and…
The coordinates of the points on the orange figure (its vertices) are (2,1), (5,1), (5,7), (4,7), (4,3), (2,3) (you can enter these into the table and submit).
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rule 2 old → new (1,1) → (-1,-1) (3,5) → (-3,-5) (5,7) → (-5,-7) this i…
\((-x, -y)\)
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rotation 2 enter the coordinates of the points on the green figure and …
The coordinates of the points on the green figure are (2, 1), (2, 7), (5, 7), (5, 5), (2, 5) (Note: The answer may vary slightly depending on the exact grid interpretation, but th…
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rule 1 old → new (1,1) → (-1,1) (5,3) → (-3,5) (7,5) → (-5,7) this is a…
\((x,y)\to(-y,x)\)
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rotation 1 enter the coordinates of the points on the red figure and pr…
The coordinates of the red figure's vertices (points) are (2, 2), (5, 2), (5, 4), (7, 4), (7, 6), (5, 6), (2, 6), (2, 4) (you can enter these into the table). When noticing, we ca…
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synthesis screen the red shape is the pre - image. can you describe the…
## Green Transformation: Horizontal translation (8 units to the right) ## Green Rule: For a point \((x,y)\) in the pre - image, the image point is \((x + 8,y)\) ## Blue Transforma…
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reflections rules! try each rule. click the button for each choice. sel…
For rule \((x,y) \to (-x,y)\) (reflection over \(y\)-axis): Algebraically, \(x\)-coordinate is negated ( \(y\) stays). Geometrically, this mirrors each vertex across the \(y\)-axi…
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reflection 4 triangle abc is reflected across the y - axis. enter the n…
\( A'(2,1) \), \( B'(6, -3) \), \( C'(-1, -4) \)
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find the midpoint, m, of \\(\\overline{ab}\\). \\(a = (-5, 1)\\) \\(b =…
$(-2, -1)$
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reflection 2 triangle abc is reflected across the x - axis. enter the n…
- \( A' \): \((-2, -1)\) - \( B' \): \((-6, 3)\) - \( C' \): \((2, 4)\)
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translations rule! try each rule. click the button for each choice. sel…
We chose the rule \((x,y) \to (x + 6,y + 4)\). The algebra of the rule connects to the translation as follows: The \(x+6\) part of the rule indicates that each point of the triang…
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translation 3 triangle abc is translated using the algebriac rule: (x +…
\( A'(2, 6) \), \( B'(-2, 2) \), \( C'(5, 1) \)
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what do you know about points on the line x = 4? the points on the line…
an \(x\)-coordinate
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solve the triangle. a=4.45 m c=5.78 m b=28.7° what is the length of sid…
Length of side \( b \): \( 2.9086 \, \text{m} \) Measure of angle \( A \): \( 47.3^\circ \) Measure of angle \( C \): \( 104.0^\circ \)
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solve the triangle. a = 1090 in, b = 855 in, c = 773 in what is the deg…
Angle A: \(83.9^{\circ}\) Angle B: \(51.2^{\circ}\) Angle C: \(44.9^{\circ}\)
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9. a circle has a diameter of 13 units. what is the area of the circle …
B. 132.73 ### Problem 10:
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solve the triangle. a = 15.0 ft, b = 17.0 ft, c = 19.0 ft what is the m…
\( A = 48.86^{\circ} \)
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9. a circle has a diameter of 13 units. what is the area of the circle …
B. 132.73
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6. select all the pairs of quantities that are proportional to each oth…
A. The radius and diameter measurements of a circle, \( d = 2r \) B. The radius and circumference measurements of a circle, \( C = 2\pi r \) D. The diameter and circumference meas…
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solve the triangle. a = 11.0 ft, b = 12.0 ft, c = 22.0 ft what is the m…
For angle \(A\): \(A\approx15.66^{\circ}\) For angle \(C\): \(C\approx146.61^{\circ}\)
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lesson practice name problems 1–3 label each graph with a term from the…
- Graph 1 (top, blue curve): y - axis label is Area - Graph 2 (middle, green straight line): y - axis label is Circumference - Graph 3 (bottom, red straight line): y - axis label …
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a 25-foot-long footbridge has two diagonal supports that meet in the ce…
29.6
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what are the exact values of a and b? a right triangle abc with right a…
C. $a = \frac{7}{2}, b = \frac{7\sqrt{3}}{2}$
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find the area of the right triangle. be sure to include the correct uni…
184.5 cm²
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camila needs to fix the window on the front of her house. the bottom of…
\(12\)
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find the measurement indicated in each parallelogram. 55) ( ep = x + 6 …
\( \boxed{6} \)
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if a right triangle has legs measuring 10 cm and 24 cm, how long is the…
\(26\)
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find the unknown side length in the given triangle. round to the neares…
\(22.36\)
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the radius of a quarter circle is 8 miles. what is the quarter circles …
The area of the quarter circle is approximately \( 50.27 \) square miles.
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the radius of a quarter circle is 18 miles. what is the quarter circles…
254.47
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the diameter of a semicircle is 36 millimeters. what is the semicircles…
\( 508.94 \) square millimeters
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llelogram. allelogram property. 54) xa = 22 az = 21x + 1 12
\( x = 1 \)
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the radius of a semicircle is 3 yards. what is the semicircles area? r=…
14.14
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the radius of a quarter circle is 12 meters. what is the quarter circle…
\( 113.10 \) square meters
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the radius of a quarter circle is 17 yards. what is the quarter circles…
\( 226.98 \) square yards
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the radius of a semicircle is 17 inches. what is the semicircles area? …
\( 453.96 \) square inches
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the diameter of a semicircle is 16 millimeters. what is the semicircles…
\( 100.53 \) square millimeters
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the radius of a quarter circle is 3 millimeters. what is the quarter ci…
\( 7.07 \) square millimeters
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the radius of a semicircle is 2 centimeters. what is the semicircles ar…
The area of the semicircle is approximately \( 6.28 \) square centimeters.
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52) in the parallelogram cdeb, side dc is 17, find the length of side e…
17
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51) m ? j l 10.5 k
\( 10.5 \)
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the radius of a quarter circle is 2 feet. what is the quarter circles a…
\( 3.14 \)
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the radius of a semicircle is 1 foot. what is the semicircles area? rou…
\( 1.57 \) square feet
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50) s r t u 24x - 1 85°
\(x = 4\)
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the diameter of a circle is 5 centimeters. what is the area? give the e…
\(\frac{25}{4}\pi\) square centimeters
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the radius of a circle is 3 miles. what is the area? give the exact ans…
\( 9\pi \) square miles
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the radius of a circle is 9 meters. what is the area? give the exact an…
\( 81\pi \) square meters
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49) w z 120° x y ? ss angles are supplem
\(60^\circ\)
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the radius of a circle is 1 inch. what is the area? give the exact answ…
\(\pi\) square inches
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the diameter of a circle is 4 inches. what is the area? give the exact …
\( 4\pi \) square inches
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the diameter of a circle is 2 miles. what is the area? give the exact a…
\(\pi\)
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the radius of a circle is 3 miles. what is the area? give the exact ans…
\( 9\pi \) square miles
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the diameter of a circle is 2 kilometers. what is the area? give the ex…
\(\pi\)
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find the midpoint, m, of \\(\\overline{ab}\\). \\(a = (-7, 9)\\) \\(b =…
$(-6, 6)$
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the radius of a circle is 10 feet. what is the area? give the exact ans…
\( 100\pi \) square feet
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the radius of a circle is 4 centimeters. what is the area? give the exa…
\( 16\pi \) square centimeters
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6) now graph the table below on the coordinate plane. | x₁ | y₁ | |----…
The change in \( y\) values is the same as \(2\) (assuming constant rise), The change in \( x\) values is the same as \(2\) (constant run). (Note: If we take the given \( y\)-valu…
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draw slope triangles (labeling rise and run) on the line above between …
(The answer would involve drawing the slope triangles as described, labeling rise (vertical change) and run (horizontal change) for each segment between consecutive points on the …
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the radius of a circle is 6 centimeters. what is the area? give the exa…
\( 36\pi \) square centimeters
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horizontal lines 9. triangle: a(-4, 1), b(-1, 1), and c(-3, 4) reflecti…
For reflection over \(y=-3\): \(A'(-4,-7)\), \(B'(-1,-7)\), \(C'(-3,-10)\) For reflection over \(x = - 1\): \(A'(-4,3)\), \(B'(-7,6)\), \(C'(-10,4)\)
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find the midpoint, m, of \\(\\overline{ab}\\).\\(a = (2, 1)\\) \\(b = (…
$(-1, 4)$
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find the midpoint, m, of \\( \\overline{ab} \\). \\( a = (3, 1) \\) \\(…
0
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find the midpoint, m, of \\(\\overline{ab}\\). \\(a = (3, 1)\\) \\(b = …
(1, 0)
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find the midpoint, m, of \\(\\overline{ab}\\).\\(a = (-7, 9)\\) \\(b = …
6
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find the midpoint, m, of \\(\\overline{ab}\\).\\(a = (-7, 9)\\) \\(b = …
$M=(-6,6)$
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the equation of a circle is given below. identify the radius and the ce…
Radius: 3 Center: (-1, 3) (Graph: Plot center (-1,3) and draw a circle with radius 3 on the grid)
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36) (8x + 4)° (x + 15)°
\(x = \frac{11}{7}\) (or approximately 1.57)
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the radius of a quarter circle is 13 kilometers. what is the quarter ci…
\(46.42\)
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the diameter of a semicircle is 30.6 kilometers. what is the semicircle…
\( 78.67 \)
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the radius of a semicircle is 8 miles. what is the semicircles perimete…
\( 41.13 \)
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4) a triangle with angles 50°, 70°, and 5x.
\(x = 12\)
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the radius of a quarter circle is 7 centimeters. what is the quarter ci…
\(25.00\)
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the radius of a semicircle is 9 miles. what is the semicircles perimete…
\( 46.27 \)
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the radius of a quarter circle is 8 meters. what is the quarter circles…
\(28.57\)
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the radius of a semicircle is 4 centimeters. what is the semicircles pe…
\( 20.57 \) centimeters
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the diameter of a semicircle is 16 miles. what is the semicircles perim…
\( 41.13 \)
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the radius of a quarter circle is 6 kilometers. what is the quarter cir…
\(21.42\)
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given a horizontal line segment ab and a point c, place the steps for c…
1. Set the compass width to \( AB \). 2. Place the compass point at point \( C \) and draw an arc. 3. Make a point \( D \) anywhere on the arc. 4. Draw \( \overline{CD} \).
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the diameter of a semicircle is 6 millimeters. what is the semicircles …
\( 15.42 \)
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read the excerpt from the time travelers guide to elizabethan england. …
by randomly listing when certain theaters were built in the past.
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solve the triangle. a = 10.0 ft, b = 13.0 ft, c = 19.0 ft what is the m…
Angle \( A \approx \boldsymbol{29.54^{\circ}} \) Angle \( B \approx \boldsymbol{39.79^{\circ}} \) Angle \( C \approx \boldsymbol{110.67^{\circ}} \)
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solve the triangle. a = 14.0 ft, b = 17.0 ft, c = 24.0 ft what is the m…
Angle \( A\approx34.92^{\circ} \) Angle \( B\approx43.94^{\circ} \) Angle \( C\approx101.14^{\circ} \)
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solve the triangle. a=4.23 m c=5.54 m b=28.1° what is the length of sid…
The length of side \(b\) is approximately \(\boxed{2.7146}\) m (rounded to four decimal places).
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what compass heading represents 20° east of south? ?° hint: compass hea…
\( 200 \)
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what compass heading represents 45° east of south? ?° hint: compass hea…
225
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what compass heading represents 25° west of north? ?° hint: compass hea…
\(335\)
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what compass heading represents 15° north of east? ?° hint: compass hea…
75
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determine the remaining sides and angles of the triangle abc. a=112.33°…
$b\approx252.4$
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determine the remaining sides and angles of the triangle abc. a = 112.3…
\(317.9\)
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what compass heading represents 50° north of east? ?° hint: compass hea…
40
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what is the length of \\(\\overline{ac}\\) on the number line?\ a -4\ b…
C. 3
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determine the remaining sides and angles of the triangle abc. a = 106.9…
\(461.4\)
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determine the remaining sides and angles of the triangle abc. a = 114.2…
$333.5$
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what compass heading represents 17° south of west? ?° hint: compass hea…
287
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what compass heading represents 35° north of west? ?° hint: compass hea…
# Explanation: ## Step1: Understand Compass Heading Compass headings are measured clockwise from north. West is 270° from north (since north is 0°, east 90°, south 180°, west 270°…
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what compass heading represents 19° west of north? ?° hint: compass hea…
\(341\)
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what compass heading represents 20° east of south? ?° hint: compass hea…
160
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dilate rectangle qrst by a scale factor of 3 with the center of dilatio…
\( 6 \)
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dilate rectangle qrst by a scale factor of 3 with the center of dilatio…
at point \( Q \)