Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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4. check one answer choice from each list to make each statement true. …
There is **no** a triangle with side lengths of 14 in., 17 in., and 32 in.
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express the sine, cosine and tangent of angles a and b as a fraction an…
$\frac{15}{17}$, $0.8824$ ### 2. $\boldsymbol{\cos A}$
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2. error analysis emilia was asked to find the coordinates of $d_2(\\tr…
Emilia performed a translation (added 2 to each coordinate) instead of a dilation by scale factor 2 (which requires multiplying each coordinate by 2). The correct coordinates are …
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16. choose efficient methods frank wants to find the area enclosed by t…
The area enclosed by the figure is \( \boldsymbol{4112} \) square meters.
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a bicycle wheel has a radius of 7 in. if the bicycle travels 470 ft., h…
128.23
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there is ---- a triangle with angle measures of 67° and 100°. no -- exa…
More than 1
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no -- exactly 1 -- more than 1 -- there is ---- a triangle with angle m…
More than 1
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6. nora sketches a pair of complementary angles, with one angle measuri…
C. <The sketch with one small and one medium adjacent angle sharing a common side>
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read the excerpt from the interview with e.y. (yip) harburg. i was walk…
A. While millions of Americans were suffering from the effects of poverty, Hearst remained one of the wealthiest individuals of his time.
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which is an expression for ( mangle 3 )? select all that apply. a ( 180…
Valid expressions for $m\angle 3$: - $180^\circ - (3x + 8)^\circ$ - $(2x + 1)^\circ + (6x - 4)^\circ$ Measure of $\angle 3$: $\boldsymbol{\frac{1367}{11}^\circ}$ (or approximately…
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fill in the blanks, based on the figure to the right. complete parts a …
a. circumcenter b. 28
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fill in the blanks, based on the figure to the right. complete parts a …
a. incenter b. 20
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there is ---- a triangle with angle measures of 67 and 100. no --- exac…
More than 1
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question given rectangle opqr below. if ( mangle rso = 112^circ ), find…
\( 68^{\circ} \)
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given rectangle abcd below. if be = 94, find ce.
\(94\)
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3. two angles are complementary if the sum of their measures is: a. 45°…
B. 90°
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5.2 solving systems of linear equations by substitution learning target…
$x=-4, y=5$ --- #### Problem 11
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for each pair of figures below, choose how they are related. translatio…
1. Top pair: Translation 2. Second pair: Translation 3. Third pair: Reflection 4. Bottom pair: Translation
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what inequality does this number line show? write your answer starting …
\( x > 4 \)
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statement about rotated figures if two sides are parallel in the origin…
To determine the correctness of each statement about rotated figures, we analyze the properties of rotation (a type of rigid transformation): 1. **"If two sides are parallel in th…
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give the coordinates after the rotation. original coordinates → final c…
s: (a) \( X(-6, 2) \to X'(2, 6) \) \( Y(-4, -2) \to Y'(-2, 4) \) \( Z(-1, 6) \to Z'(6, 1) \) (b) The general rule is \(\boldsymbol{(x, y) \to (y, -x)}\).
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practice a) $(x_1,y_1)=(0,1)$ $(x_2,y_2)=(2,5)$ $y - y_1 = m(x - x_1)$ …
El valor en el cuadro es \( 1 \), y la ecuación de la recta es \( y = 2x + 1 \).
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find the slope of the line that passes through (3, 9) and (6, 5). simpl…
$\frac{-4}{3}$
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find the slope of the line that passes through (1, 3) and (6, 9). simpl…
$\frac{6}{5}$
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m=2 point (-1,2) y - y₁ = m (x - x₁)
La ecuación de la recta es \( y = 2x + 4 \) (usando la forma punto - pendiente y simplificando)
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section 6.1 for questions 1 through 6, find the indicated m 1. find \\(…
\( AB = 10 \)
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find the surface area of the triangular prism. 8 cm 12 cm 10 cm 15 cm e…
$546$
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find the volume of the composite solid. 8 m 22 m 10 m 10 m 20 m enter t…
2960 $\text{m}^3$
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find the volume of the rectangular prism. 8.5 in. 6 in. 6.5 in. enter t…
331.5
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find the slope of the line that passes through (7, 2) and (10, 6). simp…
$\frac{4}{3}$
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find the volume of the cube. 8 cm 8 cm 8 cm enter the correct answer in…
512
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find the area of the regular pentagon. 12.4 ft 18 ft enter the correct …
558 $\text{ft}^2$
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find the area of the regular hexagon. 12 in. 10.4 in. enter the correct…
374.4
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find the area of the trapezoid. 12.3 cm 6.5 cm 6 cm 5 cm 4.8 cm enter t…
$42.75$
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t exc ik te t - a relation is a ser of ordered pairs ______. - the doma…
1. A Relation is a ser of ordered pairs $\boldsymbol{TEXT}$. 2. The DOMAIN is the set of all possible $\boldsymbol{X}$ for the relation. 3. The RANGE is the set of all possible $\…
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find the area of the parallelogram. 20.5 cm 30 cm 32 cm enter the corre…
$615$
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find the area of the trapezoid. enter the correct answer in the box. in²
165 $\text{in}^2$
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find the area of the parallelogram. 8.5 in. 7 in. 6 in. enter the corre…
$51$ in²
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if qt = 45 and pu = 56, what is rs? rs = \\square
\( 34 \)
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find the area of the shaded triangle. 8 m 5 m enter the correct answer …
10
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if $st = p - 1$, $ux = -6p + 58$, and $vw = -5p + 53$, what is the valu…
\(8\)
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vy is the midsegment of the trapezoid tuwx. if wx = 44 and tu = 94, wha…
\(69\)
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ux is the midsegment of the trapezoid vwyz. if yz = 11s, ux = s + 35, a…
\( 2 \)
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u and x are the midpoints of the legs, \\(\\overline{tv}\\) and \\(\\ov…
\( 54 \)
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find the area of the shaded triangle. enter the correct answer in the b…
$12$
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1. complete the venn diagram to describe the similarities (middle) and …
### Middle (Similarities): - Quadrilateral - Opposite sides parallel and equal - Opposite angles equal - Sum of interior angles \( 360^\circ \) ### Parallelogram (Left, Difference…
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completing measure proofs given the diagram below and the following sta…
To complete the proof: 1. Given $\angle HOD \cong \angle ZUR$ and $\angle DOC \cong \angle RUW$, so $m\angle HOD = m\angle ZUR$ and $m\angle DOC = m\angle RUW$ (Definition of Cong…
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find the area of the shaded triangle. enter the correct answer in the b…
14
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quadrilateral abcd is an isosceles trapezoid and ( mangle b = u + 79^ci…
\( u = \boxed{47} \)
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x and u are the midpoints of the legs, \\(\\overline{wy}\\) and \\(\\ov…
\( p = 82 \)
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true or false? every quadrilateral is a square. \t\t\t○ true \t\t\t\t\t…
False ### 2. For "Every square is a rectangle."
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given the diagram below and the following statements: - $\\angle hod \\…
To complete the proof: 1. The first blank (for $m\angle ZUR + m\angle RUJ = m\angle ZUJ$) is filled by the **Angle Addition Postulate**. 2. The second blank (for $m\angle DOC + m\…
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4. find the measure of the indicated angle in each rhombus. for the fir…
### Part 1: Rhombus \( LMJK \) (Top - Right) In a rhombus, opposite angles are equal, and adjacent angles are supplementary (\( \text{sum} = 180^\circ \)). Also, opposite angles a…
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true or false? every rhombus is a square. \t\t● true \t\t\t\t\t\t\t\t\t…
False ### 2. Every rectangle with four congruent sides is a square.
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quadrilateral wxyz is an isosceles trapezoid and ( mangle w = 5w - 66^c…
\(w = \boxed{42}\)
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if $uv = p - 21$, $wz = p$, and $xy = 2p - 31$, what is the value of $p…
\( \boxed{52} \)
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ru is the midsegment of the trapezoid pqst. if st = -x + 51, ru = 2x - …
\(29\)
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quadrilateral stuv is an isosceles trapezoid, su = 2y - 52, and tv = y …
\( 76 \)
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this image was created by using basic math concepts that include all of…
applying appropriate formulas to determine the volume of each shape.
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a line passes through the points (-9, -5) and (1, -5). write its equati…
$y=-5$
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19. express the pattern in terms of the x given on the triangle. 20. de…
s: 19. In a 30-60-90 triangle, if \( x \) is the shorter leg (opposite \( 30^\circ \)): - Hypotenuse \( = 2x \), - Longer leg \( = x\sqrt{3} \). (Pattern: Sides are \( x \), \( x\…
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a line passes through the points (1, -4) and (9, -4). write its equatio…
$y=-4$
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21. use the given x on each triangle to express the pattern. 22. practi…
To solve for the unknown sides in these 45 - 45 - 90 triangles, we use the properties of 45 - 45 - 90 triangles: in a 45 - 45 - 90 triangle, the legs are equal, and the hypotenuse…
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the figure consists of 12 congruent equilateral triangles. the area of …
A. \( 12a \, \text{cm}^2 \) B. \( 2b \, \text{cm}^2 \) E. \( (6a + b) \, \text{cm}^2 \)
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what is the area of the composite figure? (6π + 4) cm² (6π + 16) cm² (1…
\(\boxed{(6\pi + 16) \text{ cm}^2}\) (Option B: \((6\pi + 16) \text{ cm}^2\))
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a circle is inscribed in a regular hexagon with side length 10 feet. wh…
\( (150\sqrt{3}-75\pi) \text{ ft}^2 \) (corresponding to the first option)
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9. a 35 foot wire is secured from the top of a flagpole to a stake in t…
The flagpole is approximately \( \boldsymbol{32.08} \) feet tall. ### Problem 10
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how can you determine the values of h and k from the graph shown? then …
D. The coordinates of the vertex are \((h,k)\), and the axis of symmetry is \( x = h \). From the graph, \( h = 3 \) and \( k = 1 \) (values depend on graph, but assuming standard…
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how can you determine the values of h and k from the graph shown? then …
To solve this, we use the vertex form of a parabola, \( f(x) = a(x - h)^2 + k \), where \((h, k)\) is the vertex. ### Step 1: Identify \( h \) and \( k \) from the vertex The vert…
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trazer la siguiente desigualdad en la recta numérica. x < -1
Para trazar \( x < -1 \) en la recta numérica: 1. Coloca un punto abierto en \(-1\) (indicando que \(-1\) no es parte de la solución). 2. Dibuja una línea que se extiende hacia la…
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a square is inscribed in an equilateral triangle that is inscribed in a…
area of the circle − area of the square − area of the triangle
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how can you determine the values of h and k from the graph shown? then …
A. The coordinates of the vertex are \((h,k)\). From the graph, \( h = 3 \) and \( k = -2 \). (Values may vary based on actual graph, but the correct option is A with vertex \((h,…
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what is the area of the shaded portion of the circle? (16π−32) in² (16π…
\((16\pi - 32)\text{ in}^2\)
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the figure shows two rectangles. which expression represents the area o…
\(34x^{2}\) (corresponding to the option with \(34x^{2}\))
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what is the area of the composite figure?\\(\\boldsymbol{(6\\pi + 10)}\…
\( (6\pi + 10) \, \text{m}^2 \) (the first option)
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how can you decompose the composite figure to determine its area? as a …
C. as a square and four semicircles
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what is the area of the composite figure? 70 cm² 100 cm² 105 cm² 130 cm²
\(100\space\text{cm}^2\) (corresponding to the option \(100\space\text{cm}^2\))
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the graph shows quadrilaterals ghij and uvwx. is ghij congruent to uvwx…
No, because \(\overline{IJ}\) and \(\overline{WX}\) do not have the same length.
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what is the area of the shaded region? 6 mm 4 mm 3 mm 2 mm 5 mm 21 mm² …
24 mm²
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finding composite area the window shown is the shape of a semicircle wi…
11
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an equilateral triangle with side lengths equal to $12\\sqrt{3}$ units …
The apothem is \(\boldsymbol{6}\) units long and the radius of the circle is \(\boldsymbol{12}\) units long. Each segment of the circle has an area equal to \((\boldsymbol{48}\pi-…
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write a quadratic function for the area of the figure. then, find the a…
For the quadratic function: \( A(x)=\frac{1}{2}x^{2} \) For \( x = 4.2 \), the area is \( 8.82 \)
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solve the compound inequality. $5<2x + 5<11$ graph the solution on the …
The solution to the inequality is $0 < x < 3$. For the graph: mark open circles at 0 and 3 on the provided number line, and shade the segment connecting these two points.
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calculating the area of an office a new business requires an office spa…
The radius of the semicircle is \(\boldsymbol{100}\) meters. The area of the office is \(\boldsymbol{115700}\) square meters (or \(100000 + 5000\pi\) square meters), which is more…
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graph each quadrilateral with the given vertices. determine whether the…
The quadrilateral PQRS is not a rectangle. Opposite sides are parallel (equal slopes), but adjacent sides are not perpendicular (their slopes do not multiply to -1). --- ### For P…
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an equilateral triangle is shown inside a square inside a regular penta…
Shaded area = area of the regular hexagon − area of the regular pentagon + area of the square − area of the equilateral triangle
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justify your answer using the indicated formula. 23. p(-3, -2), q(-4, 2…
### Problem 23: Since $m_{PQ}=m_{RS}$ and $m_{QR}=m_{SP}$, opposite sides are parallel, so $PQRS$ is a parallelogram. ### Problem 24: Since $d_{JK}=d_{LM}$ and $d_{KL}=d_{MJ}$, op…
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what is the area of the composite figure? □ units²
34
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comparing the areas of two composite figures isla says the areas of the…
A. Isla is correct because each figure subtracts an equal area from the area of the square.
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10 in. 6 in. for a class project, a teacher cuts out 15 congruent circl…
\( (60 - 15\pi) \) square inches
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the area of one of the small right triangles outlined in blue is a cm²,…
The correct options are: - \( 4A + B \) - \( 1.5B \) - \( 12A \)
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how can you decompose the composite figure to determine its area? as tw…
A. as two semicircles and a rectangle
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which two triangles are congruent by the asa theorem? complete the cong…
\( \triangle VUW \cong \triangle SQR \)
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a 15-foot ladder leans against a wall so that the ladder’s angle of ele…
x = 10.94 ft
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exit ticket if you place a 32 - foot ladder against the top of a 23 - f…
22.2 feet
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find the sine, cosine, and tangent of $\\angle t$. simplify your answer…
\( \sin(T) = \frac{15}{17} \) \( \cos(T) = \frac{8}{17} \) \( \tan(T) = \frac{15}{8} \)
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find the sine, cosine, and tangent of ∠g. simplify your answers and wri…
\( \sin(G) = \frac{4}{5} \) \( \cos(G) = \frac{3}{5} \) \( \tan(G) = \frac{4}{3} \)
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find the sine of $\\angle v$. simplify your answer and write it as a pr…
\(\frac{80}{89}\)
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simplify your answer and write it as a proper fraction, improper fracti…
\(\frac{33}{65}\)
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find the sine of ∠k. simplify your answer and write it as a proper frac…
$\frac{72}{97}$