Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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miguel has a tree in his backyard. the tree grows 25 centimeters each y…
The solution to the inequality \( 25x - 16 > 234 \) is \( x > 10 \). To graph this on the number line, we use an open circle at 10 (since \( x \) is not equal to 10) and draw an a…
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which angles are supplementary to each other? select all that apply.
The supplementary angle pairs are: \(\boldsymbol{\angle 6}\) and \(\boldsymbol{\angle 7}\), \(\boldsymbol{\angle 3}\) and \(\boldsymbol{\angle 4}\), \(\boldsymbol{\angle 10}\) and…
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f 18 m 18 m (right - angled at the bottom vertex)
If finding the hypotenuse (length of \(F\)): Exact form \(18\sqrt{2}\space m\approx25.45\space m\); If finding the area: \(162\space m^{2}\)
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name the theorem that could be used to determine $\\angle lkp \\cong \\…
A. CPCTC
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move the protractor using the central blue dot. rotate / scale the prot…
\( m\angle TUV = \boxed{75}^\circ \)
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which statements are correct? check all that apply. a chord is sometime…
B. A diameter is always a chord. C. A tangent is never a secant. E. A chord can be shorter than a radius of the same circle. F. A radius is always congruent to another radius of t…
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find the exact value of \\( \\sin m \\) in simplest radical form.
$\frac{\sqrt{2}}{3}$
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find the exact value of \\(\\cos p\\) in simplest radical form. answer …
$\frac{3\sqrt{3}}{14}$
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given ( m parallel n ), find the value of ( x ).
\(x = 12\)
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what is the measure of each of the two base angles? base angles measure…
\(50^\circ\)
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m∠a = 50°, m∠j = 45°, and m∠s = 16x + 5. what is the value of x?
\( x = 5 \)
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find the area of each figure. (example 1) 1. 2. 3. 4. 5. 6. 7. find the…
The area of the figure is \( \boxed{198} \) square yards. Now problem 2: The figure is a combination of a triangle and a rectangle? Wait, the diagram shows a right triangle? Wait,…
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vocab word | definition | example repeating decimal | | terminating dec…
| Vocab Word | Definition | Example | |------------|------------|---------| | Repeating Decimal | A decimal with infinitely repeating digits | $0.\overline{3}$ (or $\frac{1}{3} = …
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7) 30 - 6a < -3(5 + 7a) > a < -3
$a < -3$ (Graph: Open circle at $-3$, arrow pointing left on the number line)
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2. what is the value of ( x ) and length of each side if ( \triangle ab…
\( x = 2 \), Side length = 15
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question 8 lesson 6-4 practice (im g7) a = (3, 2) b = (7.5, 2) d = (3, …
4
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1. classify the triangle by its angles and sides. angles: (lower case a…
Angles: obtuse Sides: scalene
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a = (3, 2), b = (7.5, 2), c = (7.5, -2.5), d = (3, -2)
The area of the rectangle (assuming \( C \) is \( (7.5, -2) \)) is \( 18 \). If the problem was different (e.g., identifying the shape, checking coordinates), adjust the steps acc…
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1. which best describes the type of triangle? 40° 35° - picure
The triangle is an obtuse triangle (specifically, a scalene obtuse triangle as all angles are different: \(40^\circ\), \(35^\circ\), and \(105^\circ\), with \(105^\circ\) being ob…
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5) $5k - 2k > -9 = k > -3$
The solution to the inequality is $k > -3$, and the number line graph (open circle at $-3$, arrow right) correctly represents this solution.
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simplify the scale factor and write it as a proper fraction, improper f…
$\frac{9}{2}$ (if scaling from small to large) or $\frac{2}{9}$ (if scaling from large to small); the simplified improper fraction for the enlargement is $\frac{9}{2}$
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the following figure is a net of a pyramid. each value below is in inch…
$25 + 80 + 50 = 155$ square inches
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select all of the units that can be used for surface area. square yards…
- square yards - square inches - square millimeters
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simplify the scale factor and write it as a proper fraction, improper f…
$\frac{1}{3}$
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find ( mangle myw ).
\( 11^\circ \)
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2) 0 > -5x - 6x = x > 0
$x > 0$ (matches the number line graph with an open circle at 0 and arrow pointing right)
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$\\triangle jkp$ is the image of $\\triangle jkp$. describe the dilatio…
The dilation of \( \triangle JKP \) is centered at \( P(3,2) \) and has a scale factor of \( \boldsymbol{2} \). The coordinate rule is \( (x, y) \to ( \boldsymbol{2}(x - \boldsymb…
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this question has two parts. first, answer part a. then, answer part b.…
### Part A #### Perimeter of the Square # Explanation: ## Step 1: Recall the formula for the perimeter of a square The perimeter \( P \) of a square is given by the formula \( P =…
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question follow the guided instructions below to rotate the figure $90^…
The line through the yellow center \((3, - 1)\) with a slope of \(-1\) (perpendicular to the original line with slope \(1\)) is drawn. (In a graphical context, this line will have…
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question a right triangle is shown. find the value of x. round your ans…
281.98
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solve for x. 9) 10) ( tb = 9 ) ( by = -1 + x ) 11) 12) find the measure…
$x=6$ --- ### Problem 10
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using the pencil, plot the reflection of point a across the x-axis.
The reflected point is at coordinates $\boldsymbol{(-1, 7)}$, which is the point 1 unit left of the y-axis and 7 units above the x-axis on the grid.
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2) find the areas of the composite figure. round to the nearest hundred…
- Triangle area = 21 $\text{in}^2$ - Rectangle area = 34.1 $\text{in}^2$ - Total area = 55.1 $\text{in}^2$
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read the paragraph from carmens personal narrative, \at bat.\\carmen ma…
○ "I thought my knees would give out and I would collapse."
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use the coordinates to answer the following questions. | x | y | (x,y) …
$y$ is more than $x$ by $\frac{1}{3}$ (or the completed statement: $y$ is more than $x$)
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which equation can be used to find the length of $overline{ac}$? (10)$\…
(10)$\sin(40^\circ)$ = AC
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text 1 ancient egyptians created one of the earliest known devices for …
Ancient Egyptians created different ways of measuring time, using natural resources like water and sunlight.
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the hypotenuse of a 45°-45°-90° triangle measures $22\\sqrt{2}$ units. …
22 units (Option C)
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m6|l7 thats the point use the coordinates to answer the following quest…
$y$ is $\frac{1}{2}$ less than $x$
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find jk. jk = □ ig = 17, ij = 15, gk = 34
$30$
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d the volume of each c h answer to a letter be $r = 7$ the height of th…
$\frac{686}{3}\pi$ (or approximately $228.67\pi$)
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1) $overline{st} parallel overline{ru}$. find $uv$. $uv = \\square$
$17$
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use the coordinates to answer the following questions. | x | y | (x,y) …
$y = x - \frac{1}{2}$ (or "y is less than x by $\frac{1}{2}$")
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solve the riddle and write the time. 4. my hour hand is between the 3 a…
1. 3:35 2. 11:15
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5. my hour hand is between the 5 and the 6. my minute hand is pointing …
1. $5:20$ 2. $1:45$
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a proof of the base angle theorem is shown. given: $overline{ac} \\cong…
| Statements | Reasons | |------------|---------| | 1. $\overline{AC} \cong \overline{BC}$ and $\overline{CD} \perp \overline{AB}$ | 1. Given | | 2. $\overline{CD} \cong \overline…
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dependent p: find perimeter of polygons due date points 100 submitting …
40 inches
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what is the lateral surface area of the figure?
220
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find the total surface area of the figure. 15
330
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1 numeric 1 point find the total surface area of the figure. 15 answer
194.89
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question the measures of the angles of a triangle are shown in the figu…
$x=8$
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m6|l7 thats the point use the coordinates to answer the following quest…
(4, 2) *Note: Any pair where the y-value is 2 less than the x-value is valid, e.g., (2,0), (5,3), (7,5) are also correct.*
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the measures of the angles of a triangle are shown in the figure below.…
$10.5$
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val needs to find the area enclosed by the figure. the figure is made b…
$8,281.28$ Val may have used the side length as the radius instead of the diameter, or calculated the area of only one circle instead of two.
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x y (x,y)1 $\frac{1}{2}$ $(1,\frac{1}{2})$2 $1\frac{1}{2}$ $(2,1\frac{1…
$y$ is $\frac{1}{2}$ less than $x$
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the measures of the angles of a triangle are shown in the figure belo x…
$x = 19$
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the measures of the angles of a triangle are shown in the figure below.…
$x = 8$
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find the value of $x$ for the triangle with angles $46^\\circ$, $61^\\c…
$7.75$
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question the measures of the angles of a triangle are shown in the figu…
$x = 15$
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higher order thinking each riddle is about a differentsolve the riddle …
4. 3:35 6. 11:15 8. C. 5:20
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given: $overline{ab} cong overline{ac}$, $overline{ad} perp overline{bc…
1. Given; 2. Definition of perpendicular lines; 3. Reflexive property; 4. HL theorem; 5. CPCTC
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5) $(-1, 2), (2, -4)$ $(3)^2+(6)^2=sqrt{45}$ 7) $(0, 4), (2, 3)$ 9) $(1…
5) $3\sqrt{5}$ 6) $5\sqrt{2}$ 7) $\sqrt{5}$ 8) $\sqrt{65}$ 9) $\sqrt{346}$ 10) $\sqrt{34}$ 11) $2\sqrt{74}$ 12) $\sqrt{202}$
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the measures of the angles of a triangle are shown in the figure below.…
$76$
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the measures of the angles of a triangle are shown in the figure. answe…
$78$
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find the volume of the cylinder. round your answers to the nearest tent…
# Explanation: ## Step1: Recall cylinder volume formula The volume $V$ of a cylinder is $V=\pi r^2 h$, where $r$ is radius, $h$ is height. ## Step2: Substitute given values $r=9$ …
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date: _______ per: _______ ** this is a 2-page document! ** directions:…
### Section 1 (Graphs): 1. Open circle at $-2$, shade left. 2. Closed circle at $9$, shade right. 3. Closed circle at $-13$, shade left. 4. Open circle at $4$, shade right. 5. Clo…
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question the measures of the angles of a triangle are shown in the figu…
$98$
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practice graph a circle that has its center at (0,0) and passes through…
The circle has the equation $x^2 + y^2 = 8$, centered at $(0,0)$ with radius $2\sqrt{2} \approx 2.83$. To draw it: 1. Mark the center at the origin $(0,0)$. 2. Plot the point $(2,…
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part ii: spiral 6. which two lines are parallel? explain. (a) $y = 3x +…
D. $y=0$, $y=2$ Parallel lines have identical slopes; both lines in option D are horizontal with a slope of 0, so they are parallel. --- ### Question 7
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1. a town is in the form of a square of 4 kilometers. the square is des…
1. The first Voronoi diagram is a square $0 \leq x \leq 4, 0 \leq y \leq 4$ split by the lines $x=2$ and $y=2$ into 4 equal 2x2 smaller squares, with each original fire station at…
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fill in the blanks below. (a) find the slope of the line passing throug…
(a) undefined (b) 0
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6. find $m\\angle b$.
$119^\circ$
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find the slope of the line passing through the points $(-5, 4)$ and $(3…
$\frac{-7}{8}$
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find the slope of the line graphed below.
6
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find the slope of the line graphed below.
$1$
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triangles $hto$ and $cdl$ are shown on the coordinate grid. complete th…
$\triangle HTO$ is mapped to $\triangle CDL$ by **a translation 2 units to the right** and **a reflection over the x-axis**. The two triangles are **congruent**. This can be verif…
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a regular octagon is an eight-sided polygon with side lengths that are …
| Actual Drawing to Scale Drawing | Scale Factor | Equation to Illustrate Relationship | |----------------------------------|--------------|--------------------------------------|…
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5. solve for $x$. $(14x - 15)^circ$ $139^circ$
$x = 4$
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polygon wtkgmd is shown, where $m\\angle wdm = 90^\\circ$, $m\\angle wg…
$\text{Quadrilateral } WDMG \cong \text{Quadrilateral } WTKG$; Hypotenuse-Leg (HL) Congruence Theorem (for right triangles)
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(a) find the slope of the line passing through the points $(-2, 2)$ and…
(a) slope: undefined (b) slope: undefined
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find the slope of the line graphed below. your answer $\frac{1}{4}$
$-1$
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a1.4.09problems 1-2: valeria and thiago disagree about the domain of $f…
1. Valeria's 2. Thiago's answer uses $x$-values that do not match the actual endpoints of the $f(x)$ graph; the graph only exists between $x=-1.5$ and $x=2$. 3. C. $0 \leq t \leq …
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in the rectangle below, $ei=4x+6$, $fh=5x+24$, and $m\\angle ifg=57^\\c…
$x = 4$ $m\angle IGH = 33^\circ$
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10/10 what is the equivalent positive rotation for a point with a negat…
$\boldsymbol{\frac{\pi}{4}}$ (Option: $\pi/4$)
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partially correct your answer is incorrect. · $m\\angle ebc$: your answ…
$BD = 66$ $m\angle EBC = 34^\circ$
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9/10 if a point is represented as $(2, -5\\pi/6)$, what is its equivale…
A. $(2, 7\pi/6)$
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solve for $x$ and graph the solution on the number line below. $\frac{x…
Inequality Notation: $x > 3$ For the number line: Draw an open circle at 3, then draw an arrow pointing to the right (towards all numbers greater than 3) along the provided number…
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a 20 inch (in diameter) pizza is cut into various sizes. what is the ar…
30.54 square inches
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solve for $x$ and graph the solution on the number line below. $-3x > -…
Inequality Notation: $x < 1$ Number Line: Open circle at 1, shading to the left towards negative infinity.
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8/10 which of the following is a correct representation of a point with…
(3, 5π/4)
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7/10 what happens when you have a negative radius in polar coordinates?…
Rotate counterclockwise
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6/10 how many different representations can a point have in polar coord…
Two
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solve for $x$ and graph the solution on the number line below. $-1 < \\…
Inequality Notation: $x > -2$ Number Line: - Open circle at $-2$, with an arrow extending to the right (covering all values greater than $-2$ on the provided number line).
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a bench is located where the shadows casted by a 16-foot tall flagpole …
63 feet
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(a) an angle measures $59^\\circ$. what is the measure of its complemen…
measure of the complement: $31^\circ$ measure of the supplement: $60^\circ$
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(a) an angle measures $34^\\circ$. what is the measure of its complemen…
measure of the complement: $56^\circ$ measure of the supplement: $107^\circ$
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the measure of angle fgh is $150^{\\circ}$.the measure of angle jgh is …
$110^\circ$
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21. the volume of a number cube is 0.343 cubic inches. a. what is the e…
a. 0.7 inches b. 2.94 square inches
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fencing x-braces are also used to provide support in rectangular fencin…
\(25.0^\circ\)
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fencing x-braces are also used to provide support in rectangular fencin…
\(12.5^\circ\)