Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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the area of a rectangle is $16\\ \\text{in}^2$. the length is 3 times t…
The width is \( 2 \) inches.
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the area of a rectangle is 16 in². the length is 3 times the width plus…
\( 3w^2 + 2w - 16 = 0 \)
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question what fractional part of one semicircle does the labeled angle …
Fraction: \(\frac{5}{9}\) of a semicircle Angle measure: \(\frac{5\pi}{9}\) radians
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find the graph of this system of linear inequalities. \\(\\begin{cases}…
The third graph (the right - most one among the three given graphs) is the graph of the system of linear inequalities \(\begin{cases}y\leq3x - 4\\y\geq - x + 3\end{cases}\)
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sugar changed the world, part 3: word choice and multimedia pre - test …
A. Simple enough, but this trade up and down the Atlantic coast was part of a much larger world system.
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question given the following unit circle, rotate green dot to the appro…
\(0\)
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question what fractional part of one semicircle does the labeled angle …
Fraction: \( 180^\circ = \boxed{1} \) of a semicircle Angle measure: \( 180^\circ = \boxed{\pi} \) radians
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answer fraction: 335° = of a semicircle angle measure: 335° = radians s…
Fraction: \(\frac{67}{36}\) Angle measure: \(\frac{67\pi}{36}\)
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level 4 question: question 12 two search and rescue teams moved through…
s: - Distance between Teams A and B: Approximately 32.0 km (or 32 km). - Total area searched: Approximately 224.15 km² (or 224 km²).
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9. kaylee is 100 cm tall and is standing so that her mother’s shadow co…
167 cm
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7. determine the missing side lengths of the triangles below. show your…
The missing side length \( x \) is \( 21 \).
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question convert the following angle from degrees to radians. express y…
\( \pi \)
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write and simplify an expression for each situation. you are planning t…
The expression for the area of the pool is \( 2w^{2} \) (where \( w \) is the width of the pool in feet). ### Part (b)
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the area of a rectangle is 21 in². the length is 2 times the width plus…
\(7\)
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the area of a rectangle is $21\\ \\text{in}^2$. the length is 2 times t…
The length of the rectangle is 7 inches.
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the area of a rectangle is 21 in². the length is 2 times the width plus…
7
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the area of a rectangle is $21\\ \\text{in}^2$. the length is 2 times t…
The length is 7 inches.
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b. the figure shows two triangles. the left triangle is divided into 6 …
The missing numerator is 2, so $\frac{4}{6}=\frac{2}{3}$
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the area of a rectangle is $20\\ \\mathrm{cm}^2$. the length is 8 more …
The width is \(2\) cm.
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the area of a rectangle is 16 in². the length is 3 times the width plus…
The width of the rectangle is \(2\) inches.
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the area of a rectangle is 16 in². the length is 3 times the width plus…
The width is \( 2 \) inches.
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which number could be represented by point m on the number line? number…
C. -0.7
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slope intercept form write the equation for the line. $y = mx + b$ (the…
\( y = \frac{1}{3}x - 1 \) (So the first box is \( \frac{1}{3} \) and the second box is -1)
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identify the slope find the slope. slope $m = \\frac{\\text{rise}}{\\te…
Rise (\(\Delta y\)) = \(-4\) Run (\(\Delta x\)) = \(4\) Slope = \(\frac{\Delta y}{\Delta x} = -1\)
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identify the slope find the slope. slope $m = \\frac{rise}{run} = \\fra…
Rise (\(\Delta y\)) = \(4\) Run (\(\Delta x\)) = \(2\) Slope = \(\frac{4}{2} = 2\)
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identify the slope find the slope. slope $m = \\frac{\\text{rise}}{\\te…
Rise (\(\Delta y\)) = \(4\) Run (\(\Delta x\)) = \(6\) Slope = \(\frac{2}{3}\)
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solve for a. (there is a triangle with side a, side 13, angle 68° and a…
\(26.6\)
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solve for b. (there is a triangle with angles 27°, 40°, and side 15 opp…
\(7.4\)
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solve for c. 142° c = ? 42 19° c round your final answer to the nearest…
\(79.4\)
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select the graph of the trapezoid abcd after a reflection in the line y…
The graph of the trapezoid \(ABCD\) after reflection over \(y = x\) will have vertices at \((1, - 3)\), \((3, - 2)\), \((3, - 1)\), and \((1, 0)\) (the actual graph should be plot…
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write an equation of the line that passes through the pair of points. u…
\( y =-\frac{8}{3}x+\frac{31}{3} \)
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incorrect 1 try left. try once more write an equation of the line that …
\(x = - 6\)
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write an equation of the line that passes through the pair of points. (…
\(x = - 6\)
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c the diagram shows a semicircle. show that i the area of the semicircl…
### Part (i) # Explanation: ## Step 1: Recall the formula for the area of a full circle The area of a full circle is given by the formula \( A = \pi r^2 \), where \( r \) is the r…
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4 work out the area of each circle (use the π button on your calculator…
s: a. \(\boldsymbol{113\space\text{cm}^2}\) b. \(\boldsymbol{56.7\space\text{m}^2}\) c. \(\boldsymbol{415\space\text{cm}^2}\) d. \(\boldsymbol{18.1\space\text{m}^2}\)
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the length of a rectangle is six times its width. if the perimeter of t…
294
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the length of a rectangle is twice its width. if the area of the rectan…
30
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the length of a rectangle is 3 m longer than its width. if the perimete…
\( 40 \)
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) gra…
The graph is an ellipse centered at the origin with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2, 0)\), \((-2, 0)\) (the ellipse is drawn by connecting these poi…
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my glory problem not madison had just gotten used to city life in madis…
"He sat for some time, watching the fish, looking across the bay, listening to the birds, and the place felt, in a way, like home."
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use the diagram. select all valid congruence statements. a) $\\angle f …
A. $\angle F \cong \angle R$, B. $\angle G \cong \angle T$, C. $\overline{GH} \cong \overline{TR}$, D. $\overline{ST} \cong \overline{HF}$, E. $\triangle GHF \cong \triangle TRS$,…
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select the correct answer. an agricultural silo is 30 feet across. the …
3,911 square feet
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if a series of rigid transformations maps $\\triangle qrs$ onto $\\tria…
The side lengths of $\triangle MPN$ are 8, 7, and 6 (matching the side lengths of $\triangle QRS$ due to rigid transformations preserving length).
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what is $m\\angle cbd$? triangle diagram with points a, d, c on a line,…
55
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in $\\triangle abc$, $m\\angle a = 43^\\circ$ and $m\\angle b = 85^\\ci…
\(52\)
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height of 6 units, what is the volume of the empty space between the cy…
A. 20.60 cubic units
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find the error based on the figure shown, laura says that \\( \\frac{1}…
Kareem is correct. The centroid \( P \) divides median \( AD \) such that \( AP:PD = 2:1 \), so \( AP=\frac{2}{3}AD \) (or \( \frac{3}{2}AP = AD \)), not \( \frac{3}{4}AP = AD \).
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find the error based on the figure shown, laura says that \\( \\frac{2}…
1. First dropdown (who is correct): Kareem 2. Theorem: Centroid 3. Correct relation: \( AP = \frac{2}{3}AD \) (so Lauri’s equation \( \frac{2}{3}AP = AD \) has \( AP \) and \( AD …
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5. l || m, find x.
\( \boxed{130^\circ} \)
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the flower shown has a rotational symmetry of order blank and a blank° …
First box: 5, Second box: 72
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5. l || m, find x
\( \boxed{130^\circ} \)
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a streetlight post needs some extra support for potential bad weather a…
4.7 ft
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keyboard help questions 1: line symmetry only rotational symmetry only …
To solve this, we analyze each shape's symmetry: ### 1. Square (first shape) - **Line Symmetry**: Has 4 lines of symmetry (vertical, horizontal, two diagonals). - **Rotational Sym…
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use the graph. which series of transformations will map rectangle abcd …
A possible series of transformations is: **Translate rectangle \(ABCD\) vertically and horizontally (e.g., 2 units down, 2 units left), then reflect over the \(x\)-axis** (exact s…
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which set of points represents the image of $\\triangle qrs$ after a tr…
The image points after translation and reflection would be \( Q'(-5, 2) \), \( R'(-2, 7) \), \( S'(1, 3) \) (exact coordinates depend on precise original \( R \), but the method i…
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type the correct answer in the box. use numerals instead of words. if n…
2
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select the correct answer from each drop - down menu. a conical contain…
The height of the container is \(10\) centimeters. If its diameter and height were both doubled, the container's capacity would be \(8\) times its original capacity.
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select the correct answer. sean has a rectangular painting with an area…
C. 20 inches and 16 inches
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5 which formula can be used to find the volume, v, of the composite sol…
B. $V = \pi r^2 h + \frac{2}{3}\pi r^3$
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an electric pole has a support cable that is attached to the pole 20 ft…
22.4 ft
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the image shows a reconstruction of a pyramid with a square base. what …
B. \(2433400\space m^{3}\)
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use the pythagorean theorem quick check if a right triangle has legs th…
16.97
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use the image to answer the question. apply the pythagorean theorem to …
14.7
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given \\(\\overline{bc}\\), describe the error made when rotating \\(b(…
The error occurred in calculating the vector \( \overrightarrow{CB} \) (incorrect subtraction of coordinates), misapplying the 270° counterclockwise rotation rule, and incorrect f…
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juanita makes a stack of pennies 38 millimeters tall. each penny has a …
10827
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course activity: explaining volume formu... 7 of 12 save suppose the bo…
When the sectors of the circle are rearranged, they are close to forming a \(\boldsymbol{\text{rectangle}}\) with a length of \(\boldsymbol{\pi r}\) units and a width of \( r \) u…
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select the correct answer. a three - dimensional object is sliced perpe…
D. The cone (the three - dimensional object in option D)
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select the correct answer. a prism whose base is a 9 - sided polygon is…
D. when the plane makes a narrow angle with the base
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the diagram shows a cone and its axis of rotation. which type of cross …
B. an isosceles triangle
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find the value of x. (there is a diagram with point f, rays fb (left), …
\(x = 26\)
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a dog walks 320 ft east, then turns 81° north of west and walks 180 ft.…
\( 390.89 \)
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enter the answer in each space provided. use numbers instead of words. …
For the first blank (angles 1 and \(\square\) supplementary): 2 For the second blank (\(m\angle1 + m\angle\square= 180^\circ\)): 2 For the third blank (\(\angle1\) and \(\angle\sq…
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move a statement to each space provided. | statements | reasons | | ---…
To solve this proof - related problem (usually in Geometry, a sub - field of Mathematics), we analyze each step: ### Step 1: Understand the Given Information We know that \(\overl…
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statements | reasons 1. $overleftrightarrow{ab} parallel overleftrighta…
Statement 5: \( \boldsymbol{m\angle AFE + m\angle AFG = 180^\circ} \) Reason 5: Linear Pair Postulate (or Definition of a linear pair) (Alternatively, if substituting: Statement 5…
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quiz equations of tangents to a circle find the equation of the tangent…
\(y = 2x+5\)
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designers at the larkspur type foundry introduced a font intended to en…
B. instead,
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problem: graph $y = \\frac{3}{4}x - 1$ intersects the line $y = -\\frac…
\(4\)
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find the graph of this system of linear inequalities. \\(\\begin{cases}…
The correct graph is the third (right - most) graph, which shows the region above the solid line \( y = x - 1 \) and below the dashed line \( y = 2x - 2 \).
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1) find the height, in cm, of trapezoid abcd; $\\overline{ae} = 60$ cm.…
Let's solve question 2 step by step: ### Explanation: We need to find the volume of water to pour out so that the remaining water just covers both metal balls. First, we find the …
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what is the measure of the smallest angle of the triangle? 15 18 ?° 26 …
The measure of the smallest angle is approximately \( \boxed{34.12^\circ} \) (rounded to the nearest hundredth).
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toronto mathematics academy (14) a pilot who is heading due north spots…
The distance between the two fires is approximately \(\boxed{5310}\) metres. ### Problem (15)
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the figure below is reflected over x - axis. what are the coordinates o…
\((-3, 10)\)
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what is the run? \\(\\frac{\\text{rise}}{\\text{run}} = \\frac{8}{?}\\)…
s: - Run: \(\boldsymbol{4}\) - Slope: \(\boldsymbol{2}\)
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what is the rise? rise / run = ? / find the slope of the line. slope = …
rise = 4 run = 1 slope = 4
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what is the rise? \\(\\frac{\\text{rise}}{\\text{run}} = \\frac{?}{\\sq…
rise = 6, run = 2, slope = 3
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for a project in her geometry class, scarlett uses a mirror on the grou…
19.38 meters
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determine the length of ef in these similar triangles. \\(\\frac{9}{18}…
The length of \(BD\) is \(8\).
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18 × 32.4 16.2 × 18 ÷ 9 = 32.4 57. determine the length of bd in these …
The length of \( BD \) is \( \boldsymbol{8} \).
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common core assessment 18. gayle made a baby quilt using 24 equal squar…
(Part A): One way is to first find the area of the quilt (length × width = 4.5×3), then divide that area by 24 to get the area of one square, and finally take the square root of t…
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the diagram below is a right rectangular prism. all the angles shown me…
Two skew segments could be \(\boldsymbol{TW}\) and \(\boldsymbol{PQ}\) (or other valid pairs like \(\boldsymbol{TW}\) and \(\boldsymbol{QR}\), \(\boldsymbol{TP}\) and \(\boldsymbo…
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consider triangle ghj. what is the length of line segment hj? j----10--…
\( 5\sqrt{3} \) units (corresponding to the option " \( 5\sqrt{3} \) units")
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determine the relationship between the two triangles and whether or not…
The two triangles are related by **rotation (and reflection)**, so the triangles **can be proven congruent (by SAS or rigid transformation)**. (For the blanks: First blank: "rotat…
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in the figure below, $m\\angle 1 = 7x^\\circ$ and $m\\angle 2 = (x - 12…
\( m\angle1 = \boxed{168}^\circ \) \( m\angle2 = \boxed{12}^\circ \)
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plot the point on this function with a y - value of 9. what is the x - …
# Explanation: ## Step1: Determine the slope of the line The line passes through \((4, 0)\) and \((8, 7)\) (from the graph, at \(x = 8\), \(y = 7\)? Wait, no, let's check again. W…
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consider triangle qrs. the legs each have a length of 10 units. what is…
\(10\sqrt{2}\) units (the option: \(10\sqrt{2}\) units)
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a man is standing near the washington monument. at a 60° angle of eleva…
The accurate measurements are: - The distance from the man’s feet to the base of the monument is \(185\sqrt{3}\) feet. - The distance from the man’s feet to the top of the monumen…
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consider triangle def. the legs have a length of 36 units each. what is…
D. \(36\sqrt{2}\) units
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the length of segment ef is 12 cm. which statements regarding triangle …
- \( \overline{EF} \) is the longest side of \( \triangle DEF \). - \( DF = 6\space\text{cm} \) - \( DE = 6\sqrt{3}\space\text{cm} \)
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triangle △abc is the result of dilating △abc about point p by a scale f…
- "AB and \( A'B' \) are on the same line": False - "AC and \( A'C' \) are on distinct parallel lines": False
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triangle mno is an equilateral triangle with sides measuring $16\\sqrt{…
24 units