Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find the sine of ∠k. simplify your answer and write it as a proper frac…
# Explanation: ## Step1: Recall sine definition In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$. First, find the hypotenuse $JK$ using Pythagorean …
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points (2, -1), (-2,7), (1, -2), (0, -1), and (4,7) lie on the graph of…
\((0, -1)\)
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using similar polygons the polygons in each pair are similar. find the …
\( y = 30 \)
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find the slope of the line through the two points: (9, -4) and (2, -1)
\(-\frac{3}{7}\)
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find the value of the variable that results in congruent triangles. 15.…
For problem 15: $x = -8$ For problem 16: $x = 18$
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11. julio claims that you can find the area of a rectangle using the fo…
Julio is correct. By using the formula for the area of a rectangle (product of length and width) and the difference of squares polynomial identity \((a + b)(a - b)=a^2 - b^2\) (wi…
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instructions use the graph below to answer the questions to the right. …
(2,4)
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a terrarium is built in the shape of a triangular prism. the prism is 1…
45 square inches
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charles begins finding the volume of a trapezoidal prism using the form…
$2x^3 + 6x^2$
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the volume of a right octagonal prism is 30 cubic feet. the area of the…
3.75
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figure jklm is dilated by a scale factor of \\(\\frac{1}{2}\\) to form …
the dilated image
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△rst is dilated by a scale factor of 2 to form its image, △rst. (i) whe…
the dilated image
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what is the slope of the line given by the following equation: $x = 3$ …
1. undefined 2. $y - 5 = 4(x + 3)$
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enter the coordinates for the points that are reflected across the line…
| x | y | |----|----| | -1 | -4 | | -1 | -2 | | 2 | -4 |
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fill - in - the - blank (1 point) as shown in the figure, the side leng…
24
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fill in the blank (1 point) (overline{ab} parallel overline{ed}), (ab =…
$40^\circ$
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what is the area of triangle ghj? 5 square units 6 square units 7 squar…
6 square units
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which expression can be used to find the area of triangle rst? (8·4) - …
\((8 \cdot 4) - \frac{1}{2} (10 + 12 + 16)\) (the first option)
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solve the inequality. state the solution set as an interval and graph t…
The solution set as an interval is: $(21, \infty)$ For the graph: 1. Place an open circle at 21 on the number line. 2. Draw a ray pointing to the right from the open circle to rep…
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what is the area of parallelogram abcd? 16 square units 20 square units…
20 square units
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what is the area of triangle abc? 2.5 square units 3 square units 3.5 s…
3 square units
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a parallelogram is cut out of a 12-inch by 8-inch sheet of paper. there…
The area of the sheet of paper is \(\boxed{96}\) square inches. The combined area of the triangle cutouts is \(\boxed{36}\) square inches. The area of the parallelogram is \(\boxe…
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using the area to calculate the altitude of a parallelogram one of the …
6 units
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the longer leg of a right triangle is 4 ft longer than the shorter leg.…
Length of the shorter leg: 12 ft Length of the longer leg: 16 ft Length of the hypotenuse: 20 ft
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visualizing the box method for the parallelogram a parallelogram has co…
The right triangle with legs 8 and 11 (the third triangle in the given options)
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each unit on the coordinate grid represents 1 yard. the rectangular poo…
33
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which figure best demonstrates the setup for the box method of finding …
The second figure (the one with the red dashed rectangle that fully encloses the triangle with the triangle's vertices touching the rectangle's sides)
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the shorter leg of a right triangle is 8 cm shorter than the longer leg…
Length of the shorter leg: 24 cm Length of the longer leg: 32 cm Length of the hypotenuse: 40 cm
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calculating the area of a triangle find the area of the triangle def. a…
128
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which statement is true of the right triangles abc and def? area of abc…
Area of ABC is greater than area of DEF.
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the length of the longer leg of a right triangle is 13 ft more than thr…
Length of the shorter leg: 9 ft Length of the longer leg: 40 ft Length of the hypotenuse: 41 ft
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write the coordinates of the vertices after a translation 6 units left …
$S'(-9, 1)$ $T'(-9, 10)$ $U'(-7, 1)$
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write the coordinates of the vertices after a translation 5 units right…
$D'(-3, 4)$ $E'(-3, 6)$ $F'(-2, 6)$ $G'(-2, 4)$
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figure c 6.8 x 13.62 x =
\boxed{6.8}
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look at the above painting. which of the following elements of the pain…
c. The height of the man and woman as compared to all the other people.
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how many degrees did the arrow turn? 90° you can name the turn ∠nve, be…
90° ### Second Question: What is another good name for ∠NVE?
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Question was provided via image upload.
$90$
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if the area of a square has increased by a factor of 144, by how much h…
12
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the illustration below shows the graph of ( y ) as a function of ( x ).…
- This is the graph of a **quadratic** function. - The y-intercept of the graph is the function value $y = 1$. - The x-intercepts of the graph (in order from least to greatest) ar…
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8 a rectangular wall is \\(\\sqrt{240}\\) ft by \\(\\sqrt{50}\\) ft. yo…
4
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part d - connect and reflect in this lesson, you analyzed how the autho…
A sample list of details for a personal narrative (based on hiding a cultural identity trait like traditional clothing style in a new, more "modern" social circle): - The specific…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
An ellipse with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$
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write the equation of the line in fully simplified slope-intercept form.
\(y=-x - 4\)
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match each drawing on the left with its correct geometric notation on t…
1. First drawing (A---B, no arrows) → \( \overline{AB} \) 2. Second drawing (A---B, left arrow) → \( \overrightarrow{BA} \) 3. Third drawing (A---B, both arrows) → \( \overleftrig…
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for the rhombus below, find the measures of $\\angle 1$, $\\angle 2$, $…
$m\angle 1 = 28.5^\circ$ $m\angle 2 = 61.5^\circ$ $m\angle 3 = 28.5^\circ$ $m\angle 4 = 61.5^\circ$
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draw in all lines of symmetry in the shape below. if there are no lines…
The figure has two lines of symmetry: one vertical line passing through the center (connecting the top and bottom vertices of the vertical - aligned shapes) and one horizontal lin…
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
B) 66
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area and circumference of a circle # 1 discuss if it is possible to for…
It is possible to form a circle with the same area and circumference (in terms of their numerical values from the formulas). For a circle with radius \( r = 2 \), the area \( A=\p…
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4 justify and evaluate how do you know your solution is reasonable? cou…
To confirm a solution is reasonable for integer/coordinate plane problems: 1. Verify against problem constraints (e.g., integer values match the problem's context, coordinate poin…
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multi-step example samantha drew a map of the park in her neighborhood.…
The location of the picnic tables is at $(3, - 4)$.
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find the area and perimeter of a rectangle whose length is 7 m and the …
Area = 49,000 sq.cm, Perimeter = 1,540 cm (the first option)
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question 7 points 1 find the area of a rectangle, if its length is 16 i…
192 square in. (corresponding to the option: 192 square in.)
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question 6 points 2 a wall in the form of a rectangle has a length of 1…
The area of the wall is \( 150 \, \text{m}^2 \) and the cost for painting the entire wall is $750.
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question 2 points 1 the perimeter of a rectangle is 290 cm and the leng…
A. 45 cm
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question 1 points 1 find the perimeter of a rectangle if the length and…
30 cm (corresponding to the option "30 cm")
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find the slope of the line that passes through (6, 3) and (3, 11). simp…
\(-\frac{8}{3}\)
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find the slope of the line that passes through (8, 9) and (1, 1). simpl…
\(\frac{8}{7}\)
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11. place the point on the number line that best approximates the locat…
s: 11. Place the point very close to 4 (between 3 and 4, near 4). 12. Place the point between 2 and 3 (closer to 2). 13. Place the point between 5 and 6 (closer to 6).
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find the slope of the line that passes through (7, 11) and (10, 4). sim…
\(-\frac{7}{3}\)
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find the perimeter of the given rectangle: 3cm 3cm 56 cm 22 cm 36 cm 46…
36 cm
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find the slope of the line that passes through (1, 3) and (5, 8). simpl…
\(\frac{5}{4}\)
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a rectangular pool is 41.9 feet long and 19.6 feet wide. what is the be…
800 ft² (corresponding to the option with 800 ft²)
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find the slope of the line that passes through (1, 1) and (10, 9). simp…
\(\frac{8}{9}\)
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determine whether the following graph represents a function. answer att…
The graph does not represent a function because at least one input is mapped to more than one output. For example, the input $x = 0$ is mapped to the approximate outputs of $y = 6…
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jordan rides his bicycle around a circular track. which of the followin…
D. Circumference
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find the slope of the line that passes through (3, 11) and (10, 10). si…
\(-\frac{1}{7}\)
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find the slope of the line that passes through (8, 6) and (4, 5). simpl…
\(\frac{1}{4}\)
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find the area of the shaded region. 5 cm 3 cm \\( 78.5\\space cm^2 \\) …
\( 72.5\space cm^2 \) (corresponding to the option 72.5 \( cm^2 \))
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find the slope of the line that passes through (3, 4) and (7, 1). simpl…
\(-\frac{3}{4}\)
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find the area of the given figure. 6 m 12 m 18.1 m² 72 m² 57.9 m² 86.1 …
\( 86.1 \, \text{m}^2 \) (the option with \( 86.1 \, \text{m}^2 \))
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find the area of the given square. image of square with inscribed circl…
\(256\) \(yd^2\) (corresponding to the option: \(256\) \(yd^2\))
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find the area of the shaded region. 5 cm 3 cm 7.63 cm² 6.3 cm² 5.63 cm²…
\( 7.63\ cm^{2} \)
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find the area of the shaded portion: 16 cm 16 cm 16 cm 16 cm 55.04 sq.c…
55.04 sq.cm
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find the diagonal of the given figure. circle area = 616 sq. cm 14 cm 7…
28 cm
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question 2 how would you describe the graph of $10.2 - x > 20.8$? \\big…
open circle, shaded to the left
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area formulas a = bh rectangle, parallelogram, square a = \\frac{1}{2}b…
91.5 square feet
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\\(\\frac{x^2}{64} + \\frac{y^2}{100} = 1\\) the foci are located at \\…
\(0, 6\) and \(0, -6\) (i.e., the option "O (0, 6) and (0, -6)")
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$\\frac{x^2}{49} + \\frac{y^2}{36} = 1$ how far from the center are the…
\(\sqrt{13}\)
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\\(\\frac{x^2}{25} + \\frac{y^2}{4} = 1\\) the minor intercepts are at …
\((0, \pm 2)\)
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$\\frac{x^2}{81} + \\frac{y^2}{64} = 1$ the major intercepts are at (0,…
\((\pm9, 0)\) (corresponding to the option with \((\pm9, 0)\))
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$\\frac{x^2}{9} + \\frac{y^2}{49} = 1$ the distance from the center to …
7
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in a right triangle, a and b are the lengths of the legs and c is the l…
8.2 feet
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in a right triangle, a and b are the lengths of the legs and c is the l…
9.2 millimeters
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find the segment length indicated. assume that lines which appear to be…
### Problem 3 # Explanation: ## Step 1: Recall the tangent - secant theorem The tangent - secant theorem states that if a tangent segment and a secant segment are drawn from an ex…
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7 exterior angle theorem and triangle sum theorem task cards find ( man…
38
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11 exterior angle theorem and triangle sum theorem task cards solve for…
$27$
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exterior angle theorem and triangle sum theorem task cards 1 solve for …
$x = 5$
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what is the area of this figure? 2 ft, 5 ft, 2 ft, 3 ft, 4 ft, 16 ft, 8…
86 square feet
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(2,0)$, $(-2,0)$, $(0,3)$, and $(0,-3)$, connected by a smooth, oval-shaped curve.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertically elongated oval shape passi…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is a vertical ellipse with vertices at $(0, 3)$, $(0, -3)$, $(2, 0)$, $(-2, 0)$, forming a smooth closed curve passing through these points on the provided coordinate gr…
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6. 7. 16 in, \\(\\sqrt{37}\\) in, x 8. 15, 26°, x 9. v, 1, 60°, u 10. m…
6. $x \approx 8.76$ 7. $x = \sqrt{219} \approx 14.80$ 8. $x \approx 6.58$ 9. $v = \sqrt{3} \approx 1.73$, $u=2$ 10. $n=5$, $m=5\sqrt{2}$ ### Method Selections: 6. SOH CAH TOA 7. P…
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6. use the mnemonic \oscar had a hold on arthur\ as an aid in writing t…
7. (a) $\boldsymbol{259.58}$; (b) $\boldsymbol{518.01}$ 8. (a) $\boldsymbol{0.66}$; (b) $\boldsymbol{0.76}$; (c) $\boldsymbol{0.75}$ 9. $\boldsymbol{6912}$ cubic inches 10. $\bold…
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answer the questions using the diagram. identify the line tangent to th…
The line tangent to the circle is \( TR \) (or the line containing points \( T \) and \( R \)). ### 2. Identify a chord.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$, with vertical vertices at $(0, 3)$ and $(0, -3)$, horizontal vertices at $(2, 0)$ and $(-2, 0)$, forming a vertically elong…
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two parallel lines are crossed by a transversal. what is the value of y…
\(y = 100\) (corresponding to the option \(y = 100\))
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two parallel lines are crossed by a transversal. what is the value of d…
\( d = 125 \) (corresponding to the option "d = 125")
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determine if line ab is tangent to the circle. 10) 11) problem 10 choos…
\( AB \) is not tangent to the circle. ### Problem 11
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solve for x. assume that lines which appear to be tangent are tangent. …
$x = 8$ ### Problem 9:
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at $(2,0)$, $(-2,0)$, $(0,3)$, and $(0,-3)$, forming a vertical elongated oval centered at the origin.