几何
三角形、圆、解析几何与证明题。
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2. ∠ghk is a straight angle. find m∠lhk 4. m∠xyz = 117°. find m∠xyw and…
1. For the first problem: - \(m\angle LHK = 101^{\circ}\) 2. For the second problem: - First, find \(x\): - Since \(m\angle XYZ=m\angle XYW + m\angle WYZ\), we have \((6x + 44)+(1…
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classify the following triangles as either right triangle, isosceles, s…
1. Right - triangle 2. Right - triangle 3. Isosceles triangle 4. Isosceles triangle 5. Isosceles triangle 6. Isosceles triangle 7. Right - triangle 8. Right - isosceles triangle 9…
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1. what is the complement of a 37° angle?
# Explicación: ## Paso1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es de 90°. ## Paso2: Calcular el complemento S…
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c.) find length of || side of midseg.
12
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identifying the original purpose of a concept what was the purpose of t…
A. to use algebraic methods to solve geometric problems
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6. two angles are complementary to each other and are in the ratio of 3…
36°
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c.) find length of || side of midseg.
14
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5. two angles that are supplementary to each other and are in the ratio…
# Explicación: ## Paso 1: Definir los ángulos Sean los ángulos suplementarios $5x$ y $7x$. Sabemos que la suma de ángulos suplementarios es $180^{\circ}$. Entonces, $5x + 7x=180^{…
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12. mr. hamilton is placing a support plank along the diagonal of a gat…
12
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6. ∠abc is a straight angle. find m∠abx and m∠cbx
$m\angle ABX = 84^{\circ}$, $m\angle CBX = 96^{\circ}$
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circle the best multiple choice answer for the following questions (2pt…
1. a) When you slide a shape along the plane 2. b) When you flip a shape along a line of reflection 3. Quadrant I 4. Quadrant III
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2. two angles are supplementary. one of the angles has a measure of (12…
# Explicación: ## Paso 1: Establecer la ecuación Sabemos que dos ángulos suplementarios suman 180°. Entonces, $(12x - 17)+(8x - 3)=180$. ## Paso 2: Simplificar la ecuación Combina…
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9 read the sentence. the neighbour feud had grown into a personal one s…
9. B. intensely disliked 10. C. urgently wanted 11. B. looking searchingly 12. D. violence
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week 7 review. divide using rectangle division. select the answer from …
C. \(x^{2}-6x - 8+\frac{10}{5x + 4}\)
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4. the legs of an isosceles right - triangle are each 8 inches long. wh…
4. D. $8\sqrt{2}$ inches 5. B. $7\sqrt{3}$ inches 6. B. $33^{\circ}$ 7. (There is an error in the options as the problem asks for length of shadow but options are angles. If we as…
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demostrar m∠1 = proposición razón 1 m∠pqr = m∠1 + m∠2 ¿razón? 2 m∠tsr =…
# Explicación: ## Paso 1: Suma de ángulos adyacentes Según la definición de la suma de ángulos adyacentes, si un ángulo está formado por dos ángulos adyacentes, el ángulo mayor es…
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8. find m∠deh and m∠feh (10x + 21) 13x
Let's assume that $\angle DEH = 13x$ and $\angle FEH=10x + 21$, and $\angle DEF = 90^{\circ}$ (since it looks like a right - angle from the figure). Then $\angle DEH+\angle FEH=\a…
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1. for each pair of images, describe the transformation as a translatio…
1. - a) Reflection - b) Rotation - c) Reflection - d) Translation - e) Rotation - f) Translation 2. - a) Graph the vertical line $x = 6$. - b) Graph the horizontal line $y = 8$.
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write all angle measures as degrees and minutes and find lengths to the…
$85^{\circ}$
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what shape does a parabola have? an increasing curve a line a v shape a…
A U shape
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7. find m∠rsq and m∠tsq (15x - 43) (8x + 18)
Let's assume that $\angle RST = 90^{\circ}$ and $\angle RSQ+\angle TSQ=\angle RST$. So, $(15x - 43)+(8x + 18)=90$. First, solve for $x$: ## Step1: Combine like - terms $(15x+8x)+(…
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part 2 - find the distance between the two points. use the distance for…
8) $2\sqrt{13}$ 9) $\sqrt{37}$ 10) $(2,-5)$ 11) $(-\frac{7}{2},-\frac{3}{2})$ 12) $58$
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what is the measurement of this angle?
$110^{\circ}$
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part 1 - use the segment addition postulate to answer each problem. 1) …
1. $AC = 18$ 2. $EF = 11$ 3. $HK = 25$ 4. $MO = 9$ 5. $PQ = 21$ 6. $SU = 37$ 7. $WX = 8.5$
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use a graphing utility to graph f and g in the same viewing rectangle. …
Yes
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use a graphing utility to graph f and g in the same viewing rectangle. …
Without seeing the actual options clearly (as the image has some issues with readability), in general, the correct graph will show two cubic - shaped curves, one for \(y = x^{3}-6…
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use a graphing utility to graph f and g in the same viewing rectangle. …
(Here, since the actual visual details of the graphs A, B, C, D are not clear enough in the provided image, we cannot definitively choose one of the options. But the correct graph…
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a mangrove forests tangled roots provide good hiding places for aquatic…
B. forest's tangled roots
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give the location of atlanta as an ordered pair (x, y).
$(6,-8)$
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what is the perimeter of the shape? 22 units 12 units squared 20 units …
A. 22 units, C. 20 units (assuming we can't calculate the actual perimeter from the given image and just going by the unit - type analysis)
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give the location of berlin as an ordered pair (x, y).
\((8,9)\)
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use a graphing utility to graph f and g in the same viewing rectangle. …
Without seeing the actual graphs in options A, B, C, and D, we can't give a specific choice. But the correct graph should show two curves with the same end - behavior (both increa…
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given m || n, find the value of x and y.
\(x = 142^{\circ}\), \(y = 38^{\circ}\)
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given m || n, find the value of x. x° 109°
\(109^{\circ}\)
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use the solid figure to determine whether each statement is true or fal…
a. True b. True c. False d. True e. True f. False
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look at this angle: name this angle:
$\angle GHI$ or $\angle IHG$
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look at this angle: what is the vertex?
$V$
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calculate the volume. 125π mi³ 500π mi³ 16π mi³ 90π mi³
$125\pi$ mi³
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calculate the volume. 125π mi³ 500π mi³ 93π mi³ 165π mi³
$500\pi$ mi³
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10. estimate to measure the angle.
Approximately 45 degrees
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matching 3 points. for the statement \if a polygon has 6 sides, then it…
Converse: If it is a hexagon, then a polygon has 6 sides. Inverse: If a polygon does not have 6 sides, then it is not a hexagon. Contrapositive: If it is not a hexagon, then a pol…
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2. the sail on a boat is shaped like an isosceles right - triangle. the…
2. D. 6 feet 3. A. \(18\sqrt{2}\) inches
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as a, b and c. calculate the missing side. estimate your b) 8 m 5 cm d)…
b) \(\sqrt{89}\mathrm{cm}\approx9.43\mathrm{cm}\); d) \(\sqrt{153}\mathrm{in}\approx12.37\mathrm{in}\); f) \(4\mathrm{cm}\)
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in the right triangle shown, what is the value of sin a? note: figure n…
B. $\frac{52}{177}$
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utilizar la información proporcionada para demostrar que ∠3≅∠6. dado: r…
Se ha demostrado que \(\angle3\cong\angle6\) ya que son ángulos alternos internos y \(r\parallel s\).
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if ∠2 = 3z + 45 and ∠6 = 5z - 15 are alternate interior angles, find z.…
D. 20
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dado: $overline{de}congoverline{fg}$, $angle edfcongangle gfd$. demostr…
1. $\overline{FG}$ 2. Dado 3. $\overline{DF}$ 4. Criterio LAL de congruencia de triángulos
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if ac = 32 and bc = 24, find ab.
8
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if ac = 23 and bc = 19, find ab.
4
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if ab = 25 and bc = 31, find ac.
56
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rectangle abcd shown has a length of 2 units and a width of 7 units. wh…
C. 14
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utilizar la información dada para demostrar que △rst ≅ △rut. dado: (ove…
1. Razón: Dado 2. $\overline{RU}$ 3. Razón: Propiedad reflexiva de la congruencia 4. Razón: Criterio SSS de congruencia de triángulos
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if ac = 27 and bc = 11, find ab.
16
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if ab = 20 and bc = 31, find ac.
51
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utilizar la información dada para demostrar que △abc≅△edc. dado: (overl…
1. $\overline{DC}$ (Dado) 2. Dado 3. $\angle ECD$ 4. Criterio LAL (Lado - Ángulo - Lado)
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determining slope from a table engineers measure angles in gradients, w…
$1.11$
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if ab = 28 and bc = 22, find ac. a b c 28 22 ac = ? if b is between a a…
50
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question 10 of 10 the distance between points (x1, y1) and (4, 8) is th…
B. False
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3 cm 5 cm 9 cm 4 cm 8 cm 7 cm if necessary, round your answer to the ne…
$106.53$
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multiple choice 4 points △abc is the image of △abc after translation of…
C. $A'(1,-2),B'(0,2),C'(-2,0)$
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4 multiple choice 4 points refer to the figure below. if the triangle i…
A. $(2,-4)$
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10 mark for review note: figure not drawn to scale. in the figure, two …
A. 62°
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square x has a side length of 38 centimeters. the perimeter of square y…
A. 76
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3 multiple choice 4 points which of the following will map △abc onto △a…
reflection in the \(x\) - axis
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2 multiple choice 4 points refer to the figure below. if the triangle i…
D. $(0,5)$
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1 multiple choice 4 points if the triangle is translated so that z beco…
A. \(X'(0,-2)\) For the second sub - question:
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proof #1: given: ∠a≅∠d prove: (overline{bc}congoverline{ef}) ∠c≅∠f (ove…
The missing statements and reasons to complete the proof are: | Statements | Reasons | |--|--| | $\triangle ABC\cong\triangle DEF$ | ASA (by $\angle A\cong\angle D$, $\overline{AC…
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exit ticket #2.6 learning target: i can tell whether two expressions ar…
1. The solution of the equation represents the weight of one bag of beans. 2. Equation B: $15b + 4 = 25$ Equation C: $3(0.6 + 15b + 4)=76.8$ Equation E: $15b = 21$
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classify the angle pair as corresponding, alternate interior, alternate…
11. Corresponding angles 12. Corresponding angles 13. Alternate interior angles 14. Alternate exterior angles 15. Consecutive interior angles 16. Alternate exterior angles
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select all the pairs of vertical angles. ∠fgd and ∠hgd ∠hgi and ∠edb ∠f…
# Explicación: ## Paso 1: Recordar la definición de ángulos verticales Los ángulos verticales son aquellos que comparten un vértice y cuyos lados son rayos opuestos. ## Paso 2: An…
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10. plane(s) parallel to plane abc classify the angle pair as correspon…
11. Corresponding angles 12. Alternate interior angles 13. Corresponding angles 14. Corresponding angles 15. Alternate exterior angles 16. Corresponding angles
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which angles are corresponding angles? ∠jkm and ∠ihf ∠jkm and ∠ghk ∠jkm…
$\angle{JKM}$ y $\angle{GHF}$
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what is the approximate distance between the points (-3, -4) and (-8, 1…
D. 7.07 units
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select all the pairs of adjacent angles. ∠jkh and ∠ghk, ∠ihk and ∠lkh, …
# Explicación: ## Paso 1: Recordar la definición de ángulos adyacentes Los ángulos adyacentes comparten un lado común y un vértice común, y no se superponen. ## Paso 2: Analizar c…
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which angles are consecutive interior angles? ∠xwt and ∠vwy, ∠xwt and ∠…
# Explicación: ## Paso 1: Definir ángulos internos consecutivos Los ángulos internos consecutivos son ángulos adyacentes formados por una transversal que cruza dos líneas paralela…
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interfere: to get in the way of mode: operating method oblique: slantin…
1. oblique 2. sustained 3. vaguely 4. mode 5. interfere
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which angles are vertical angles? ∠onk and ∠jki, ∠onk and ∠jkn, ∠onk an…
# Explicación: ## Paso 1: Recordar la definición de ángulos verticales Los ángulos verticales son aquellos que se forman cuando dos rectas se intersectan y son opuestos por el vér…
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24 multiple choice 2 points two triangles are similar. the measure of t…
24. C. 6.25 25. C. $(3,-4)$
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lesson 3.1 practice continued for use with pages 148 - 152 classify the…
11. Corresponding angles 12. Alternate exterior angles 13. Corresponding angles 14. Alternate interior angles 15. Corresponding angles 16. Consecutive interior angles Second set: …
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match the 3 - d shape to its name. rectangular prism triangular prism r…
First shape - Rectangular Prism, Second shape - Rectangular Pyramid, Third shape - Triangular Prism, Fourth shape - Triangular Pyramid
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usando la información dada para demostrar que △pqr≅△rsp. dado: (overlin…
1. Razón: Dato 2. $\overline{SP}$ 3. Razón: Reflexividad de la congruencia 4. Razón: Criterio SSS de congruencia de triángulos
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question 8 of 10 when you use the distance formula, you are calculating…
B. hypotenuse
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calculate the volume.
$88$ $cm^{3}$
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22 multiple choice 2 points if the lengths of the legs of a right trian…
13
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which angles are alternate interior angles? ∠vux and ∠wxu ∠wxz and ∠tus…
# Explicación: ## Paso 1: Recordar la definición de ángulos internos alternos Los ángulos internos alternos se forman cuando una transversal cruza dos líneas paralelas y están en …
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imagine you are planning a road trip across the united states. you are …
$2$
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if a = (0, 0) and b = (2, 5), what is the approximate length of $overli…
C. 5.39 units
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22 multiple choice 2 points if the lengths of the legs of a right trian…
B. 13
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which angles are consecutive interior angles? ∠ihk and ∠jkh ∠ihk and ∠j…
# Explanation: ## Paso 1: Recordar la definición de ángulos internos consecutivos Los ángulos internos consecutivos son pares de ángulos que se encuentran entre dos líneas paralel…
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multiply monomials by polynomials (basic): area model a rectangle has a…
$7x^{2}-4x$
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if one angle is 100 degrees, what is the measure of its consecutive int…
C. 80 degrees
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utilizar la información dada para demostrar que △abc≅△dec. dado: (overl…
1. Razón: Dado 2. $\overline{DC}$ 3. Razón: Ángulos verticales son congruentes 4. Razón: Criterio LAL (Lado - Ángulo - Lado)
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if (overleftrightarrow{kl}) and (overleftrightarrow{ln}) are parallel l…
# Explicación: ## Paso 1: Definir ángulos internos alternos Los ángulos internos alternos son ángulos formados por dos rectas paralelas y una transversal, y se encuentran en lados…
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20 multiple choice 2 points if △mnp≅△vwx and $overline{pm}$ is the shor…
20. A. $\overline{XV}$ 21. B. $89^{\circ}$
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question 6 of 10 if you know the pythagorean theorem, then you can alwa…
B. False
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which angles are always congruent when formed by a transversal intersec…
A. Alternate interior angles
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find the indicated angle measure. 1. find m∠lmn 3. m∠abc = 95°. find m∠…
1. $m\angle LMN=108^{\circ}$ 3. $x = 7$, $m\angle ABD = 37^{\circ}$, $m\angle DBC = 58^{\circ}$
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if one angle of a pair of consecutive interior angles is 120 degrees, w…
A. 60 degrees
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18 multiple choice 2 points the triangle in the picture below represent…
18. C. 108 19. A. 29
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ik and ln are parallel lines. which angles are alternate interior angle…
# Explicación: ## Paso 1: Recordar la definición de ángulos internos alternos Los ángulos internos alternos se forman cuando una transversal cruza dos líneas paralelas. Están en l…