Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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Question was provided via image upload.
To graph the solution set \(x < 4\): - Place an open circle at \(4\) on the number line. - Draw an arrow pointing to the left from the open circle to show all real numbers less th…
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mpm2d0 quadratic graphs name: salma bouaj multiple choice: circle the c…
- For 6a: The relationship is quadratic (because the second differences of the y - values are constant). - For 6b: The relationship is linear (because the first differences of the…
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the points (2, -1) and (r, 9) lie on a line with slope 2. find the miss…
$7$
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the points (-4, r) and (4, -4) lie on a line with slope -1. find the mi…
4
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rectangle wxyz was dilated using the rule $d_{k,p}$. what is $wx$? 14 u…
10 units
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which equation represents the parabola shown on the graph? - $y^2 = -2x…
\(y^{2}=-8x\) (the option is \(y^{2}=-8x\))
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a parabola has a vertex at the origin. the focus of the parabola is loc…
B. \(x = 2\)
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triangle tuv was dilated to create triangle tuv using point a as the ce…
\(\frac{2}{5}\) (corresponding to the option with \(\frac{2}{5}\))
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the area of a triangle can be represented by the expression (14x^{6}+63…
The expression for the height of the triangle is \( 4x^{4}+18 \)
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a parabola can be represented by the equation $x^2 = -20y$. what are th…
D. \((0, - 5)\)
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2. the surface $\ ho = 4\\cos \\phi$ describes a sphere. identify the c…
- Center of the sphere: $(0, 0, 2)$ - Radius of the sphere: $2$ - Cartesian coordinate equation: $x^2 + y^2 + (z - 2)^2 = 4$ - Cylindrical coordinate equation: $r^2 + z^2 = 4z$ (o…
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which equation represents the parabola shown on the graph? \\(\\bigcirc…
\(x^2 = 6y\) (the fourth option: \(x^2 = 6y\))
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find the midpoint of points a(-6, 2) and b(2, 5) graphically. you may p…
The midpoint of points \( A(-6, 2) \) and \( B(2, 5) \) is \( (-2, 3.5) \)
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a parabola is represented by the equation $x^2 = 4y$. what are the coor…
(0,1)
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find the area of parallelogram efgh. round your answer to the nearest t…
The area of parallelogram \( EFGH \) is \( 20.7 \) square inches.
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a parabola has a vertex at (0,0). the focus of the parabola is located …
A. up
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the length, width, and height of a rectangular prism can be represented…
The expression for the surface area is \( 6x^2 + 36x + 22 \)
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question: if a polynomial of degree 8 is divided by a polynomial of deg…
4 (the option with the circle labeled 4)
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question what is an equation of the line that passes through the points…
\( y=\frac{5}{2}x + 8 \) (or \( 5x-2y=-16 \) or other equivalent forms)
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given bd=9.4 and ce=19, find the area of rhombus bcde. round your answe…
The area of rhombus \( BCDE \) is \( 89.3 \).
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find the slope of a line perpendicular to the line whose equation is 3x…
$\frac{2}{3}$
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find the slope of a line perpendicular to the line whose equation is ( …
The slope of the line perpendicular to the line $x + y = 9$ is $1$.
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use the pythagorean theorem to find the distance between points p and q…
4.5
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find the slope of a line perpendicular to the line whose equation is ( …
$-1$
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the points t(1, 3), u(5, -1), v(7, 1), and w(3, 5) form a quadrilateral…
slope of \( \overline{TU} = -1 \), length of \( \overline{TU} = 4\sqrt{2} \) slope of \( \overline{UV} = 1 \), length of \( \overline{UV} = 2\sqrt{2} \) slope of \( \overline{VW} …
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use the pythagorean theorem to find the distance between points p and q…
16
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use the pythagorean theorem to find the distance between points p and q…
4
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nswer the questions below. (a) the area of a rectangular field is 8712 …
88 ### Part (b)
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elijah started hiking at an elevation of -12 feet below sea level. he h…
elevation $=-12 + 9x$ (or in the boxed form as per the problem's structure: first box: elevation, second box: - 12, third box: $9x$)
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the diagram shows a convex polygon. what is the value of ( v )? ( v = s…
$52$
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in the given figure, ( moverarc{bc} = 118^circ ), ( moverarc{eb} = 76^c…
A. The measure of $\widehat{DE}$ is $48^\circ$, and triangle BCD is isosceles.
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
$\angle CAE \longleftrightarrow 15^\circ$ $\angle CAD \longleftrightarrow 30^\circ$ $\angle BAE \longleftrightarrow 180^\circ$ $\angle DEC \longleftrightarrow 120^\circ$
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type the correct answer in the box. use numerals instead of words. an a…
36
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josephine is constructing a circle circumscribed about triangle xyz. sh…
C. Yes, she should have placed the compass with the fixed end on P and drawn a circle through point X.
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in the given circle, tangent ab and secant cd intersect at point e as s…
D. 140
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select the correct answer. what is the equation of the parabola shown w…
B. $y = \frac{1}{4}(x - 1)^2 - 2$
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complete the statement by selecting the appropriate value that will exa…
Rotate Pom 1 45 degrees counterclockwise about the point where the arms meet.
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what is the slope of the line that goes through (-5,-5) and (5,-7)? a. …
A. $-\frac{1}{5}$
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the diagram shows a convex polygon. what is the value of x? x = \\squar…
$31$
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cole is an urban planner. he wants to create a small scale drawing of a…
Draw a square on the grid where each side measures 20 grid units (since 20 units × 5 m/unit = 100 m), with all corners as right angles, matching the square shape of the city block.
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what is the equation of the directrix of the parabola given by the equa…
D. $x=6$
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select the correct answer. the vertex of a parabola is at the point (3,…
D. $f(x)=\frac{1}{16}(x - 3)^2 + 1$
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the vertex of a parabola is (0, 0) and the focus is $\\left(\\frac{1}{8…
B. $x = 2y^2$
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the upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-…
The rectangle has vertices at $(-1, 4)$, $(3, 4)$, $(3, -4)$, and $(-1, -4)$. To draw it, plot these four points and connect them with straight lines.
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find the value of ( x ) in the triangle shown below. ( x = square^circ …
$56$
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you might need: calculator find the value of x in the triangle shown be…
$58^\circ$
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what is the area of this triangle? 128 cm squared 32 cm squared 28 cm s…
32 cm squared
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cameron deconstructs a box to put in the recycling bin. when the box is…
A. \((2)(5)(3) + (2)(8)(3)\)
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what is the area of this triangle? 42in squared 83in squared 21in squar…
21in squared
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circle o is represented by the equation ((x + 7)^2 + (y + 7)^2 = 16). w…
B. 4
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which equation represents a circle with center t(5,-1) and a radius of …
B. $(x-5)^2+(y+1)^2=256$
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select the correct answer. a circle is described by the equation ( x^2 …
A. (3,-4), 5 units
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type the correct answer in the box. use numbers instead of words. the r…
72
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what is the area of this triangle? 72.09in squared 72.09 78.0in squared…
36.045 (the option with 36.045)
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type the correct answer in the box. use numbers instead of words. the r…
30
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what is the area of this figure? 9 km 7 km 2 km 18 km 9 km 5 km 2 km 2 …
148 km²
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sample response: the graph consists of a parabola and a line. the parab…
- The graph contains a parabola that opens down and has a vertex at (0, 4). - The graph contains a line that has a slope of 1 and a y-intercept of 2.
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what is the area of this triangle? 130 squared 70 squared 130.5 squared…
70 m squared
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type the correct answer in the box. use numbers instead of words. what …
2400
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what is the area of this triangle? 130 squared 70 squared 130.5 squared…
70 m squared
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what is the area of this figure? 4 ft 1 ft 2 ft 6 ft 5 ft 6 ft square f…
34 square feet
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type the correct answer in the box. use numbers instead of words. the r…
120
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which of the graphs below shows correctly plotted points for the follow…
The bottom-most graph with points $(-1,-1)$, $(0,-2)$, $(1,-3)$, $(2,-4)$
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both sides of an equation have linear expressions. the graph of one lin…
1
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both sides of an equation have quadratic expressions. the graph of one …
0, 1, 2
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the paradox of value: determining the monetary value of products (goods…
1. **Utility (definition):** The satisfaction/benefit from consuming a good/service. 2. **Table Responses:** - Diamonds: Utility? Yes; Relatively scarce? Yes; Relatively Expensive…
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quadrilateral bcde is inscribed in circle a as shown. what is m∠e? a. 1…
A. $111^\circ$
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select the correct answer. quadrilateral bcde is inscribed in circle a …
C. The perpendicular bisectors of $\triangle BCD$ intersect at the same point as those of $\triangle BED$.
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each week, marcia travels to the office where she works, the supermarke…
B. the center of the circumscribed circle of the triangle
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the city council is planning to construct a park on north street that h…
B. at the center of the inscribed circle of the park
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select the correct answer from each drop - down menu. point a lies outs…
Step 3: M going through A and O Step 5: AB and AC
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select the correct answer from each drop - down menu. point a lies outs…
Step 3: Draw a circle centered at **M going through A and O** Step 4: Let the points B and C represent where the two circles meet. Step 5: Draw the segments **AB and AC** (the two…
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match each drawing on the left with its correct geometric notation on t…
1. First drawing (segment CD) ↔ $CD$ 2. Second drawing (line CD) ↔ $\overleftrightarrow{CD}$ 3. Third drawing (ray DC) ↔ $\overrightarrow{DC}$ 4. Fourth drawing (ray CD) ↔ $\overr…
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are $\\triangle wxy$ and $\\triangle qrs$ congruent? yes no
no
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what is the measure of ∠r in △pqr? round to the nearest degree. 26° 42°…
64°
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solve the inequality. graph the solution.\\(|x + 11| > 6\\)\ solve the …
A. $x < -17$ or $x > -5$ A. <point>802 481</point> (the graph with open circles at -17 and -5, arrows pointing left from -17 and right from -5)
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write the coordinates of the vertices after a dilation with a scale fac…
\( A'(-3, -3) \), \( B'(1, -3) \), \( C'(1, 2) \), \( D'(-3, 2) \)
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point d shows the location of a drummer in a marching band formation. t…
The new position of point D after translating 2 units down is 2 units vertically below the original point D on the grid. (Visually, if we consider the grid, we move D two squares …
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for what value of x is the given parallelogram a rhombus? the given par…
$25$
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read the description of a proportional relationship. roxanne is measuri…
10
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find the midpoint of points a(1,10) and b(7,3) graphically. you may pre…
The midpoint of points \( A(1, 10) \) and \( B(7, 3) \) is \( (4, 6.5) \)
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in $\\triangle opq$, $pq = 18$, $qo = 10$, and $op = 15$. which list ha…
$\boldsymbol{m\angle O, m\angle Q, m\angle P}$
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question move at least one of the 3 guide points below to complete the …
The key points for $y=2\sqrt{x}-2$ are $(0,-2)$, $(1,0)$, and $(4,2)$. Plot these points and draw the curve starting at $(0,-2)$ and increasing to follow the shape of the transfor…
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find the area. 9 cm
The area of the circle is \( 81\pi \, \text{cm}^2 \) (or approximately \( 254.34 \, \text{cm}^2 \)).
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which figures are translations of figure a? choose all that apply. figu…
D. Figure D, F. Figure F
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which figure is a translation of figure a? figure c how can you map fig…
Figure C ### For the second question "How can you map figure A onto figure C? Translate figure A [ ] units [ ] to form figure C.":
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select all the statements that are true for $\\triangle abc$. a $\\over…
A. $\overline{AH}$ is an altitude
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segment \\(\\overline{bd}\\) bisects \\(\\angle abc\\). solve for \\(x\…
\( x\approx8.3 \)
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find k. write your answer in simplest radical form. meters
\(38\)
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which line segment is an altitude of $\\triangle uwy$?
$\overline{WZ}$ (assuming the segments are named as per the diagram, with $WZ$ being perpendicular to $YU$ which is a side of $\triangle UWY$)
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points a, b, and c show the locations of three trumpet players during a…
To translate points \(A\), \(B\), and \(C\) 5 units up, for each point \((x,y)\), the new coordinates are \((x,y + 5)\). If original coordinates (from grid estimation) are \(A=(2,…
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find ( mangle n ). ( mangle n = square^circ )
$100$
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surface area of cylinders practice complete the assessment to review wh…
The formula for the total surface area of a cylinder is \( \boldsymbol{2\pi r^{2}+2\pi rh} \) (or \( \boldsymbol{2\pi r(r + h)} \)) where \( r \) is the radius of the base and \( …
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what is the slope of the line that passes through the points (10, 3) an…
The slope of the line is \( 1 \).
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identify all rays and lines in the picture below rays: $overrightarrow{…
Rays: $\overrightarrow{BD},\overrightarrow{CA},\overrightarrow{AC},\overrightarrow{AB}$ Lines: $\overleftrightarrow{AC}$ (The fourth option is the correct choice)
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4. find the circumference. 3 in.
$3\pi$ inches (or approximately 9.42 inches)
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find the measures of the numbered angles in the rhombus.
$26$
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find the measure of the numbered angles in each rhombus. m∠1=□° ...
$22$
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graph the line that passes through the points (9, -1) and (6, 1) and de…
Equation of the line: $\boldsymbol{y=-\frac{2}{3}x+5}$ (Graph: The line passes through points $(6,1)$ and $(9,-1)$, with a y-intercept at $(0,5)$ and extends infinitely in both di…
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for the rhombus below, find the measures of $\\angle 1$, $\\angle 2$, $…
$m\angle 1 = 98^\circ$ $m\angle 2 = 41^\circ$ $m\angle 3 = 98^\circ$ $m\angle 4 = 49^\circ$