Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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5. a rectangular prism is 5 inches long, 8 inches wide and 10 inches ta…
La longitud de la diagonal más larga es \(3\sqrt{21}\approx13.75\) pulgadas.
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find the surface area of this rectangular prism. be sure to include the…
\(188\ yd^{2}\)
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find the surface area of this cube. be sure to include the correct unit…
\(150\) square inches
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which explanation of how to use basic shapes is most correct if someone…
Start with a square and semi - circle for the silo and a triangle for the barn’s roof.
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m∠6 = 45° m∠6 = 54° m∠6 = 117° m∠6 = 126°
\(m\angle6 = 126^{\circ}\)
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lines b and c are parallel. what is the measure of ∠6? (13x + 9)° (5x +…
\(m\angle6 = 126^{\circ}\)
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find the surface area of this rectangular prism. be sure to include the…
\(174\mathrm{ft}^{2}\)
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given: m || n and p is a transversal prove: m∠2 = m∠7 what is the missi…
transitive property
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 110\)
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two parallel lines are crossed by a transversal. what is the value of h…
\(h = 120\) (the fourth option)
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find the area. 11 ft 33 ft a = ? ft²
\(363\)
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lines b and c are parallel. what is the measure of ∠2? m∠2 = 31° m∠2 = …
\(m\angle2 = 130^{\circ}\)
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what is the value of t?
\(106\)
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determining an unknown angle measure $m\\angle 6$ is $(2x - 5)^{circ}$ …
\(115\)
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4. a local businessman bought a square plot of land. the sides of the l…
Aproximadamente \(45.25\) pies de valla.
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what is the value of w? w =
\(46\)
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given: a and b are parallel and c is a transversal. prove: ∠2 ≅ ∠7 use …
We can tell that angles \(2\) and \(5\) are congruent because **vertical** angles are congruent. Angles \(5\) and \(7\) are congruent because **alternate exterior** angles by para…
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find the area. 12 ft 4 ft a =? ft²
\(48\)
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find the other endpoint given the midpoint and one of the endpoints. ① …
The other endpoint is \((-5,4)\)
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the measure of angle 1 is $(3x + 10)^{circ}$ and the measure of angle 4…
\(85\)
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the measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x …
\(85\)
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given: ( w parallel x ) and ( y ) is a transversal. prove: ( angle 3 ) …
1. Corresponding Angles Theorem 2. Linear Pair Postulate 3. Substitution Property
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find the area. 48 ft 12 ft a = ? ft²
\(576\)
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the radius of a cylindrical water tank is 4 ft, and its height is 11 ft…
\(553\) cubic feet (\(ft^{3}\))
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a boat is heading towards a lighthouse, whose beacon - light is 135 fee…
$1930.56$ feet
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the angle of elevation to a nearby tree from a point on the ground is m…
$53.3$ feet
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the radius of a cylindrical construction pipe is 3 ft. if the pipe is 3…
\(933\) \(ft^{3}\)
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solve the inequality and graph the solution. 1 > \\frac{g - 1}{3} plot …
The solution of the inequality is \(g<4\). On the number - line, we plot an open circle at \(4\) (because the inequality is strict, \(g eq4\)) and draw a ray to the left of \(4\)…
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determining angle measures in the diagram, ( mangle3 = 120^{circ} ) and…
\(m\angle1 = 60^{\circ}\), \(m\angle13 = 80^{\circ}\), \(m\angle5 = 60^{\circ}\), \(m\angle14 = 100^{\circ}\)
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solve the inequality and graph the solution. 4(w - 2) + 2 ≤ 18 plot the…
The solution of the inequality is $w\leq6$. On the number - line, we plot a closed circle at $6$ (since the inequality is $\leq$) and draw a ray to the left of $6$.
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a boat is heading towards a lighthouse, whose beacon - light is 131 fee…
\(1874.1\) feet
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a section of wall is being framed. a model of the framing work is shown…
They are same side interior angles. Angle \(A\) measures \(55^{\circ}\).
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solve the inequality and graph the solution. 5 < 4(c + 8) - 11 plot the…
The solution of the inequality is \(c>-4\). On the number - line, we plot an open circle at \(c = - 4\) (because the inequality is strict, i.e., \(c eq - 4\)) and draw a ray to t…
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amadou wants to use a sheet of fiberboard 18 inches long to create a sk…
\(8.5\) inches
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shannons tv, figure d, has a height of 22 in. and width of 33 in. shann…
1. The scale factor is $\frac{2}{11}$. 2. The area of Shannon's TV screen (Figure D) is $726$ in². 3. The area of the scale - model (Figure E) is $24$ in². 4. The ratio of the are…
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question the angle of elevation to a nearby tree from a point on the gr…
\(128.53\) feet
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solve the inequality and graph the solution. 1 < \\frac{z - 1}{3} plot …
The solution of the inequality is \(z>4\). On the number - line, we use an open circle at \(z = 4\) and draw a ray to the right of \(4\) (since \(z\) is greater than \(4\)).
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3. pete has a 15 - foot ladder. the safety instructions recommend he sh…
La escalera alcanzará aproximadamente \(13.75\) pies de altura en la pared.
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solve the inequality and graph the solution. \\( \\frac { c + 7 } { - 1…
The solution of the inequality is \(c < - 8\). On the number - line, we have an open circle at \(-8\) (since the inequality is strict, \(c eq - 8\)) and a ray extending to the le…
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given: lines p and q are parallel and r is a transversal. prove: ∠2 ≅ ∠…
A: \(\angle2\cong\angle4\) B: \(\angle4\cong\angle7\)
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solve the inequality and graph the solution. 5(j + 4) ≤ 15 plot the end…
The solution of the inequality \(5(j + 4)\leq15\) is \(j\leq - 1\). On the number - line, we have a closed circle at \(-1\) (because the inequality is \(\leq\)) and the line exten…
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use the distance formula to find the distance btw 2 points (36,-22),(-5…
The distance between the two points is approximately \(92.55\)
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solve the inequality and graph the solution. 17 < 13(h - 2) - 9 plot th…
The solution of the inequality is \(h>4\). On the number line, we plot an open circle at \(h = 4\) (because the inequality is strict, \(h eq4\)) and draw a ray to the right of \(…
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question the figure below is dilated by a factor of \\( \\frac { 1 } { …
Plot the points \((-3,0)\), \((-2,-2)\), \((3,-2)\), \((2,3)\), \((-2,2)\) and connect them.
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practice with lines cut by a transversal. what is the value of x?
\(25\)
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solve the inequality and graph the solution. -10(v + 3) ≤ 10 plot the e…
The solution of the inequality is $v\geq - 4$. On the number line, we plot a closed circle at $-4$ (because the inequality includes equality, $\leq$ was transformed to $\geq$ afte…
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solve the inequality and graph the solution. 3(s + 2) - 10 ≥ -1 plot th…
The solution of the inequality is $s\geq1$. On the number - line, we plot a closed circle at $s = 1$ (because the inequality is $\geq$, including the endpoint) and draw a ray to t…
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solve the inequality and graph the solution. 8(p - 1) - 10 > 6 plot the…
The solution of the inequality \(8(p - 1)-10>6\) is \(p>3\). On the number - line, there is an open circle at \(3\) and a ray extending to the right.
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solve the inequality and graph the solution. \\( \\frac { d + 2 } { 2 }…
The solution of the inequality is \(d < - 4\). On the number - line, we plot an open circle at \(-4\) (because the inequality is strict, \(d eq - 4\)) and draw a ray to the left …
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solve the inequality and graph the solution. 2(d + 1) - 5 > 3 plot the …
The solution of the inequality \(2(d + 1)-5>3\) is \(d>3\). On the number - line, we have an open circle at \(d = 3\) (because \(d = 3\) is not included in the solution set) and a…
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solve the inequality and graph the solution. 6(v + 1) - 9 ≤ 9 plot the …
The solution of the inequality is $v\leq2$. On the number line, we plot a closed circle at \(2\) (since the inequality is $\leq$) and draw a ray to the left of \(2\) towards \(-\i…
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find the value of each variable. 10 11 12 x= x= x= y= y= y= z=
\(x = 30^{\circ}\), \(y = 45^{\circ}\) ### Problem 11
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analyzing angle pair relationships m∠3 is (3x + 4)° and m∠5 is (2x + 11…
Angles \(3\) and \(5\) are consecutive interior angles. The equation \((3x + 4)+(2x + 11)=180\) can be used to solve for \(x\), and \(m\angle5 = 77^{\circ}\).
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isosceles and equilateral triangles find the missing angle measures. 1 …
1. \(m\angle N = 64^{\circ}\) 2. \(m\angle E=114^{\circ}\) 3. \(m\angle A = 70^{\circ}\) 4. \(x = 45\), \(y = 45\) 5. \(x = 6\), \(y = 5\) 6. \(x = 71\), \(y = 38\) 7. \(x = 40\),…
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applying angle pair relationships what is ( mangle2 )? what is ( mangle…
\(m\angle2 = 75^{\circ}\) \(m\angle1 = 105^{\circ}\)
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find the value of x and the angle measures using the exterior angle the…
\(x = 7\), \(\angle R=32^{\circ}\), \(\angle S = 129^{\circ}\)
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the parking spaces in a city lot were created by painting rows of paral…
\(65\)
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7. find the value of x in the regular pentagon. (example 3) 9. find the…
\(x = 116\) ### Question 9
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find the area. 24 in 15 in a = ? in²
\(360\)
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given: x || y w is a transversal of x and y. prove: ∠4 ≅ ∠5 complete th…
A: Vertical Angles Theorem; B: Corresponding Angles Theorem; C: Transitive Property of Congruence.
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translate the triangle. then enter the new coordinates. a(?,) b (,) c (…
\(A'(0,13)\), \(B'(1,11)\), \(C'(-2,11)\)
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making a conjecture about sample response: because vertical angles are …
vertical angles theorem, corresponding angles theorem, transitive property
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translate the triangle. then enter the new coordinates. a(?,) b(,) c(,)…
\(A'(-2,3)\), \(B'(-1,1)\), \(C'(-4,0)\)
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translate the triangle. then enter the new coordinates. a(?,) b (,) c (…
\(A'(1,2)\), \(B'(3,0)\), \(C'(-3,-1)\)
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draw a diagram and solve for the missing measure. round to the nearest …
La distancia del coche desde su punto de inicio es aproximadamente \(93.7\) millas.
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translate the triangle. then enter the new coordinates. a(?, ) b(, ) c(…
\(A'(2,1)\), \(B'(6,-5)\), \(C'(1,-4)\)
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translate the triangle. then enter the new coordinates. a(?, ) b (, ) c…
\(A'(7,-8)\), \(B'(8,-11)\), \(C'(4,-10)\)
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making a conjecture about alternate exterior angles consider parallel l…
The Corresponding Angles Theorem (which states that if two parallel lines are cut by a transversal, then corresponding angles are congruent) and the Vertical Angles Theorem (which…
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translate the triangle. then enter the new coordinates. a(-2,2) b(-1,-2…
\(A'(-6,7)\), \(B'(-5,3)\), \(C'(-2,4)\)
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translate the triangle. then enter the new coordinat a(2,1) a(5,?) b() …
\(A'(5,3)\), \(B'(2,-1)\), \(C'(6,-1)\)
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show how each vertex of \\( \\triangle efg \\) maps to its image. descr…
\(E'(-4,-5)\), \(F'(-2,-5)\), \(G'(-3,-2)\)
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select the correct choice from each dropdown. rectangle x has length 30…
a. No b. No c. Yes
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statue a company is making different size statues that are in the shape…
\(54\)
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directions: for each triangle pair drawn, write the parts and pieces yo…
The triangles are congruent, by AAS, so \(\triangle FGH\cong\triangle ZYX\)
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directions: for each triangle pair drawn, write the parts and pieces yo…
The triangles are congruent. So \( \triangle FGH\cong\triangle JMK\) by the SAS (Side - Angle - Side) theorem.
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geometry hon - garcia (lms) 3 - 2: technology_mixed review_p8 (lms grad…
\(m\angle1 = 58^{\circ}\)
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section b use the ratio tables to find the missing lengths in the pairs…
\(x = 45\ \text{cm}\)
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directions: for each triangle pair drawn, write the parts and pieces yo…
The triangles are congruent, by SAS, so \(\triangle WYZ\cong\triangle WYX\)
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3 - 2: technology_mixed review_p8 (lms graded) part 6 of 7 in the figur…
\(m\angle2 = 122^{\circ}\), \(m\angle3 = 58^{\circ}\), \(m\angle5 = 58^{\circ}\), \(m\angle6 = 122^{\circ}\), \(m\angle7 = 58^{\circ}\), \(m\angle8 = 122^{\circ}\)
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part 5 of 7 in the figure, m is parallel to n and m∠4 = 122°. find the …
\(m\angle6 = 122^{\circ}\), \(m\angle2 = 122^{\circ}\), \(m\angle8 = 122^{\circ}\), \(m\angle5 = 58^{\circ}\), \(m\angle3 = 58^{\circ}\)
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in the figure, m is parallel to n and m∠4 = 122°. find the measures of …
\(m\angle6 = 122^{\circ}\), \(m\angle2=122^{\circ}\), \(m\angle8 = 122^{\circ}\), \(m\angle5 = 58^{\circ}\)
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directions: triangles abc and dfg are given, and bc ≅ fg. a. without do…
a. No. We only know one pair of congruent sides (\(BC\cong FG\)) and one pair of congruent angles (\(\angle ABC\cong\angle DFG = 90^{\circ}\)), but not enough to satisfy a congrue…
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tu is a translation of tu. write the translation rule. (x, y)→(x+□, y+□)
\((x,y)\to(x + 6,y+7)\)
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in the figure, m is parallel to n and ( mangle4 = 122^{circ} ). find th…
\(m\angle2 = 122^{\circ}\), \(m\angle6=122^{\circ}\), \(m\angle8 = 58^{\circ}\)
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in the figure, m is parallel to n and m∠4 = 122°. find the measures of …
\(122\)
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part 1 of 7 in the figure, m is parallel to n and ( mangle4 = 122^{circ…
\(58\)
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2) decide whether the shapes are similar or not. you must show how you …
a) Not similar. b) Similar. c) Not similar. d) Similar.
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prove the triangles are congruent, given \\( \\overline { a b } \\cong …
\(BM\cong CM\) (because \(M\) is the mid - point of \(BC\)), \(AM\cong DM\) (because \(M\) is the mid - point of \(AD\)), \(\triangle ABM\cong\triangle DCM\) (by SSS congruence).
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prove the triangles are congruent, given \\( \\overline { a b } \\cong …
\(BM\cong CM\) (Reason: Definition of mid - point for \(BC\)); \(AM\cong DM\) (Reason: Definition of mid - point for \(AD\)); \(\triangle ABM\cong\triangle DCM\) (Reason: SSS (Sid…
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write the coordinates of the vertices after a translation 6 units left …
\( J'(-3,-3) \), \( K'(-3,4) \), \( L'(3,-2) \)
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given (\triangle abc) and its reflection image (\triangle abc) find the…
The line of reflection is \(x = 6\)
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directions: use the figure and information to set create a formal proof…
| | Statement | Reason | |---|---|---| | 1 | \( \angle M\cong\angle P\) | Alternate Interior Angles Theorem (because \( \overline{PQ}\parallel\overline{NM}\) and transversal \( \o…
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write the coordinates of the vertices after a translation 1 unit left a…
\(D'(-1,-7)\), \(E'(7,-7)\), \(F'(9,-1)\), \(G'(1,-1)\)
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directions: use the figure and information to set create a formal proof…
1. \( \angle M\cong\angle P\) (Reason: Alternate Interior Angles Theorem) 2. \( \angle N\cong\angle Q\) (Reason: Alternate Interior Angles Theorem) 3. \( \triangle MNO\cong\triang…
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what is the area of this figure? write your answer using decimals, if n…
\(82.5\)
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write the coordinates of the vertices after a translation 9 units left.
\( A'(-9,2) \), \( B'(1,2) \), \( C'(1,9) \), \( D'(-9,9) \)
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directions: use the figure and information to set create a formal proof…
- \(\angle M\cong\angle P\) (Reason: Alternate - Interior Angles Theorem) - \(\angle N\cong\angle Q\) (Reason: Alternate - Interior Angles Theorem) - \(\triangle MNO\cong\triangle…
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write the coordinates of the vertices after a translation 1 unit right …
\(K'(-2,-9)\), \(L'(8,-9)\), \(M'(9,-2)\), \(N'(0,-2)\)
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write the coordinates of the vertices after a translation 8 units right…
\(D'(-1,2)\), \(E'(5,2)\), \(F'(9,6)\), \(G'(3,6)\)
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write the coordinates of the vertices after a translation 3 units left.
\(K'(-10,1)\), \(L'(-10,10)\), \(M'(-8,1)\)