几何
三角形、圆、解析几何与证明题。
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question 6 (1 point) right triangle with one leg 2, another leg 7, hypo…
If we consider \(7\) as the hypotenuse and \(2\) as one leg, then \(x = \sqrt{7^{2}-2^{2}}=\sqrt{45}=3\sqrt{5}\approx6.71\) (or in exact form \(3\sqrt{5}\)). If we consider \(7\) …
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question 8 (1 point) triangle with right angle, one leg 6.5, hypotenuse…
\(x \approx 7.47\) ### Question 9
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question 4 (1 point) right triangle with legs 4 and 8, hypotenuse x x= …
\(4\sqrt{5}\) (or approximately \(8.94\)) ### Question 5
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Question was provided via image upload.
\( 23 \)
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find qr. qr = blank 1: question 2 (1 point) if segment ef is the perpen…
\( 49 \) ### Question 2: Find \( x \) (perpendicular bisector)
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11) find the area of the triangle (and the triangle image with side 37,…
Approximately \(464.4\) (or using a calculator with more precision, the value may vary slightly due to rounding during steps, but around \(464 - 467\))
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question what is the volume of a hemisphere with a radius of 6.5 in, ro…
\( 576.0 \)
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use the graph of ( y = f(x) ) to graph the function ( g(x) = f(x) + 2 )…
Option C (the graph with the horizontal segment on the x-axis, shifted up 2 units from the original $f(x)$ segment)
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question 1 of 5 two points located on \\overleftrightarrow{jk} are j(-1…
D. 2
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1.6.4 test (cst): post test: foundations of geometry m∠mxy = m∠kxy give…
A. $m\angle JXY = m\angle NXY$
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question 6 of 10 which statement best defines an angle? a. two lines th…
C. two rays that share a common endpoint called the vertex
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question 4 of 10 what is a counterexample to this claim? all perfect sq…
B. 9
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1.6.4 test (cst): post test: foundations of geometry prove: if two inte…
B. <image of lines l and m intersecting to form four right angles>
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16. in trapezoid abcd, calculate the length of diagonal ac to the neare…
10.8 cm
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in the figure below, m ∠ 2 = 129°. find m ∠ 1, m ∠ 3, and m ∠ 4. m ∠ 1 …
\( m\angle1 = \boldsymbol{51}^\circ \) \( m\angle3 = \boldsymbol{51}^\circ \) \( m\angle4 = \boldsymbol{129}^\circ \)
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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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graph the solution set. $x + y < 6$
The solution set is graphed by first drawing the dashed line \(y=-x + 6\) (through points \((0,6)\) and \((6,0)\)) and then shading the region below this dashed line.
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question 7 (multiple choice worth 5 points) (07.02 mc) which of the fol…
B. Construct two angle bisectors of the triangle
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question 3(multiple choice worth 5 points) (07.01 mc) zubin drew a circ…
\( 65^\circ \) (the option with \( 65^\circ \))
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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 tangent of ∠e. simplify your answer and write it as a proper f…
$\frac{80}{39}$
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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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error analysis for the dilation with center (0,0) shown on the graph, y…
The correct scale factor is $\frac{3}{10}$. C. Your friend found the scale factor that enlarges $\Delta A'B'C'$ to $\Delta ABC$.
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if $ge = 21$, $ef = 22$, and $hi = 24$, find the length of $overline{jh…
$25.1$
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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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be careful 16. if \\(\\bigcirc a = a^2 - 4\\) and \\(\\triangle a = \\f…
19
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be careful 16. if \\( \\bigcirc a = a^2 - 4 \\) and \\( \\triangle a = …
19
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which angles are adjacent to each other? ∠bea and ∠ced ∠bec and ∠dea ∠c…
$\angle DEA$ and $\angle CED$
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dd.6 identify complementary, supplementary, vertical, adja which angles…
Examples of adjacent angles: \( \angle AEC \) and \( \angle BEC \), \( \angle AEC \) and \( \angle AED \), \( \angle BED \) and \( \angle BEC \), \( \angle BED \) and \( \angle AE…
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14. express the area in terms of x circle with diameter 6x
The area of the circle in terms of \( x \) is \( 9\pi x^{2} \).
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is the graph of this equation a horizontal or vertical line? x = 20 hor…
vertical line
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is the graph of this equation a horizontal or vertical line? x = 0 hori…
vertical line
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look at this graph: graph of a coordinate plane with a horizontal line …
\( y=-50 \)
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is the graph of this equation a horizontal or vertical line? x = -50 ho…
vertical line
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write the equation of the line.
\( y = - 20 \)
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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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the net of a rectangular prism is shown below. what is the lateral surf…
C. \( 38\space in^{2} \)
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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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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 qr. write your answer as an integer or as a decimal rounded to the…
\( 7.0 \)
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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…
\( 3.6 \)