Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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find the area of the sector of a circle of radius 8 ft with a central a…
$83.78$ ft²
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find the area of the sector of a circle of radius 18 m with a central a…
$872.46$ m²
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use the information in the diagram to determine the radian measure of t…
$3\pi$
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find the length to three significant digits of the arc intercepted by a…
$2.96$
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∠skf is complementary to ∠fkp ∠fkp is complementary to ∠pkh prove: ∠skf…
2,5,1,4,3
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the two - column proof shown includes statements and reasons that are n…
3, 6, 4, 2, 1, 5
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complete the proof to make the following flow - chart proof true. given…
FILL IN 1: $\angle SKW$ FILL IN 2: $\angle SKW$ FILL IN 3: $\angle SKW$ FILL IN 4: $\angle PKS$
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prove ∠pkw≅∠skr. complete the proof to make the following flow - chart …
The proof is completed by using the Vertical Angles Theorem which states that vertical angles are congruent. Since $\angle PKW$ and $\angle SKR$ are vertical angles, $\angle PKW\c…
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an incomplete two - column proof shown includes some statements and rea…
| Step # | Statement | Reason | | ---- | ---- | ---- | | 2. | $m\angle FEH = m\angle GEI$ | Definition of Congruence | | 3. | $m\angle GEI=m\angle HEI + m\angle GEH$ | Angle Addit…
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11. find the value of x. (6x + 7)° (8x - 17)° 12. find the value of x. …
\(x = 12\) ### 12.
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point a is graphed at (-3, 4). using the pencil, plot the image of poin…
The new coordinates of point A are $(3,-4)$.
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9. write a conditional statement that is biconditional. 10. write a con…
9. A number is even if and only if it is divisible by 2. 10. If a shape is a rectangle, then it has four sides.
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consider δwxy and δbcd with ∠x = ∠c, wx = bc, and wy = bd. can it be co…
no, because the corresponding congruent angles listed are not the included angles
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find the arc - length of a circle with the given radius $r$ and central…
$242.81$ m
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find the perimeter when 118 triangles are put together in the pattern s…
120
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find the equation of the line shown below. your answer should take the …
$y = - 3$
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use the information contained in the figure to determine the values of …
\(\sin\theta=\frac{56}{65}\), \(\cos\theta=\frac{33}{65}\), \(\tan\theta=\frac{56}{33}\), \(\csc\theta=\frac{65}{56}\), \(\sec\theta=\frac{65}{33}\), \(\cot\theta=\frac{33}{56}\)
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the frame of a bridge is constructed of triangles, as shown below. what…
\(m\angle STU = 37^{\circ}\) and \(m\angle VTU = 37^{\circ}\)
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use the information contained in the figure to determine the values of …
$\sin\theta=\frac{\sqrt{2}}{2}$, $\cos\theta=\frac{\sqrt{2}}{2}$, $\tan\theta = 1$, $\csc\theta=\sqrt{2}$, $\sec\theta=\sqrt{2}$, $\cot\theta = 1$
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your answer should take the form $x = a$ or $y = a$, whichever is appro…
$x = 2$
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1. find the missing measure. 2. find the missing measure. 3. find the m…
1. \(x = 25\) 2. \(x = 51\) 3. \(x = 107\), \(y = 73\), \(z = 73\) 4. \(167^{\circ}\) 5. \(52^{\circ}\) 6. \(m\angle1 = 109^{\circ}\), \(m\angle2 = 71^{\circ}\) 7. \(m\angle2 = 86…
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2.82 convert the following radian measure to degrees. 2.82 radians = (r…
$161^{\circ}36'$
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use the information contained in the figure to determine the values of …
$\sin\theta=\frac{1}{2},\cos\theta=\frac{\sqrt{3}}{2},\tan\theta=\frac{\sqrt{3}}{3},\csc\theta = 2,\sec\theta=\frac{2\sqrt{3}}{3},\cot\theta=\sqrt{3}$
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2.4.4 quiz: music theory ii question 8 of 10 which key comes next on th…
A
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in the figure, (mangle aed = 34^{circ}) and (mangle ead = 112^{circ}). …
A. $\angle ADB$, D. $\angle BDC$
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find the measure of ∠eod. m∠eod = □°. classify ∠eod. ∠eod is a(n) □ ang…
20
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use the information contained in the figure to determine the values of …
\(\sin\theta=\frac{7}{9}\), \(\cos\theta=\frac{4\sqrt{2}}{9}\), \(\tan\theta=\frac{7\sqrt{2}}{8}\), \(\csc\theta=\frac{9}{7}\), \(\sec\theta=\frac{9\sqrt{2}}{8}\), \(\cot\theta=\f…
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write the negation of each statement. statement\tnegation 7. △abc is an…
7. △ABC is not an equilateral triangle. 8. ∠DEF and ∠KLM are not supplementary angles. 9. ∠JKL and ∠XYZ are not vertical angles. 10. m∠DEF + m∠KLM ≠ 125°
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find the measure of ∠cod 11 m∠cod = classify ∠cod. ∠cod is a(n)
$30$
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find the coordinates of the point $\frac{7}{10}$ of the way from a to b…
\((x_1+\frac{7}{10}(x_2 - x_1),y_1+\frac{7}{10}(y_2 - y_1))\) (general form). If \(A=(0,0)\) and \(B=(10,10)\), the answer is \((7,7)\)
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graph the inequality below on the number line. a≤1
Draw a closed - circle at 1 and a line extending to the left on the number line.
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geometry unit 2 lesson 6 homework determine if each statement is true. …
| Statement | True or False | Re - write | |--|--|--| | All even numbers are composite. | False | Some even numbers are composite. | | All points that lie in the same plane are co…
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graph the inequality below on the number line. y≥ - 10
Draw a closed - circle at -10 on the number line and shade to the right.
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geometry unit 2 lesson 6 homework determine if each statement is true. …
| Statement | True or False | Re - write | | ---- | ---- | ---- | | All even numbers are composite. | False | Some even numbers are composite. | | All points that lie in the same …
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9. if (lk = mk), (lk = 7x - 10), (kn=x + 3), (mn = 9x - 11), and (kj = …
1. **Problem 9**: - Since \(LK = MK\), we are not given enough information in the problem - statement to directly use this equality to find \(LJ\). However, we know that \(LJ=LK +…
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complete the paragraph proof. given: ∠1 and ∠2 are complementary and ∠2…
6. Given 7. Complementary angles 8. Transitive 9. $m\angle3$ 10. Definition of congruent angles
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find the coordinates of the point that partitions ab¯ in the ratio 3:7.…
\((\frac{3x_2+7x_1}{10},\frac{3y_2+7y_1}{10})\)
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use the information contained in the figure to determine the values of …
$\sin\theta=\frac{\sqrt{7}}{4}$, $\cos\theta=\frac{3}{4}$, $\tan\theta=\frac{\sqrt{7}}{3}$, $\csc\theta=\frac{4\sqrt{7}}{7}$, $\sec\theta=\frac{4}{3}$, $\cot\theta=\frac{3\sqrt{7}…
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find the distance between the pair of points. e(9, - 3), f(- 3,6) d = □…
$15$
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find the distance between the pair of points. n(-7, -15), p(-7, -3) d =…
$12$
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find the value of each variable and the measure of each angle
$x = 35$, $y=70$
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find the midpoint of the line segment joining the points (3,6) and (-1,…
$(1,0)$
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find the value of each variable and the measure of each angle. x = 29 y…
$2x = 58$ $y = 58$ $x + y+35=29 + 58+35 = 122$
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complete the proof. given: $overline{fg}paralleloverline{kl}$, $overlin…
4. Reason is incorrect. Correct reason: Opposite - sides of a parallelogram are congruent (since \(FG\parallel KL\) and \(FG = KL\), \(FGKL\) is a parallelogram)
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graph the set. (-∞, 7) use the tools to enter your answer. write the se…
- Set - builder notation: $\{x|x < 7\}$ - Graph: Place an open circle at 7 on the number line and draw an arrow to the left.
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use the information contained in the figure to determine the values of …
$\sin\theta=\frac{\sqrt{2}}{2}$, $\cos\theta=\frac{\sqrt{2}}{2}$, $\tan\theta = 1$, $\csc\theta=\sqrt{2}$, $\sec\theta=\sqrt{2}$, $\cot\theta = 1$
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1. if (lm = 22) and (mn = 15), find (ln). 2. if (ln = 54) and (lm = 31)…
1. $LN = 37$ 2. $MN = 23$ 3. $EF = 58$ 4. $x = 7$
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use the information contained in the figure to determine the values of …
$\sin\theta=\frac{13}{85}$, $\cos\theta=\frac{84}{85}$, $\tan\theta=\frac{13}{84}$, $\csc\theta=\frac{85}{13}$, $\sec\theta=\frac{85}{84}$, $\cot\theta=\frac{84}{13}$
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find the value of each variable and the measure of each angle. x = 24 (…
The remaining angle is \(96^{\circ}\)
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let $\theta$ be an angle in quadrant i such that $cos\theta=\frac{7}{10…
$\csc\theta=\frac{10\sqrt{51}}{51}$ $\cot\theta=\frac{7\sqrt{51}}{51}$
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find the value of each variable and the measure of each angle. x = 24 y…
$4x = 96^{\circ}$, $(y + x)=84^{\circ}$, $(2y - x)=96^{\circ}$
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find the value of each variable and the measure of each angle. (simplif…
$x = 24$ $y = 60$
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how are the sss postulate and the sas postulate alike? how are they dif…
(How are they alike) D. They both can be used to prove that triangles are congruent. E. They both require three congruency statements. (How are they different) B. They use differe…
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how are the sss postulate and the sas postulate alike? how are they dif…
D. They both can be used to prove that triangles are congruent E. They both require three congruency statements
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draw a triangle and label it △phk. use your drawing to name the sides w…
C. $\overline{PK}$ E. $\overline{HK}$
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find the measures of the interior angles of the triangle. a x° (x - 11)…
\(\angle A = 59^{\circ}\) \(\angle B = 48^{\circ}\) \(\angle C = 73^{\circ}\)
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graph the image of square abcd after a dilation with a scale factor of …
Plot the points \(A'(-2,-2)\), \(B'(1,-2)\), \(C'(1,1)\), \(D'(-2,1)\) and connect them to get the dilated square.
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pregunta ∠1y∠2son ángulos verticales. si m∠1=(4x + 20)° y m∠2 = 16°, lu…
$$x = - 9$$
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∠1y∠2son ángulos suplementarios. si m∠1=(5x - 27)° y m∠2=(6x - 24)°, lu…
# Explicación: ## Paso 1: Usar la propiedad de ángulos suplementarios Sabemos que $\angle1$ y $\angle2$ son suplementarios, entonces $m\angle1 + m\angle2=180^{\circ}$. Sustituimos…
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∠1 y ∠2 son ángulos verticales. si m∠1=(7x + 4)° y m∠2=(8x - 20)°, lueg…
# Explicación: ## Paso 1: Aplicar la propiedad de ángulos verticales Los ángulos verticales son iguales, entonces $m\angle1 = m\angle2$. Esto significa que $7x + 4=8x - 20$. ## Pa…
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pregunta ∠1 y ∠2 son ángulos verticales. si m∠1=(4x + 13)° y m∠2=(3x + …
# Explicación: ## Paso 1: Aplicar la propiedad de ángulos verticales Los ángulos verticales son iguales, entonces $m\angle1 = m\angle2$. Esto significa que $(4x + 13)=(3x + 30)$. …
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∠1 y ∠2 son ángulos complementarios. si m∠1=(6x + 30)° y m∠2=(8x - 10)°…
# Explicación: ## Paso 1: Recordar la definición de ángulos complementarios Los ángulos complementarios suman 90°. Entonces, \(m\angle1 + m\angle2=90^{\circ}\). ## Paso 2: Sustitu…
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resolver el valor de m i. respuesta m i =
# Explicación: ## Paso 1: Identificar la relación de ángulos Los ángulos $(5e + 6)^{\circ}$ y $(9e)^{\circ}$ son complementarios, es decir, su suma es igual a $90^{\circ}$. Entonc…
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resolver el valor de b.
$b = 25$
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respuesta resolver el valor de x. 55° (3x + 2)°
# Explicación: ## Paso 1: Identificar la relación de ángulos Los ángulos de $55^{\circ}$ y $(3x + 2)^{\circ}$ son complementarios, es decir, su suma es $90^{\circ}$. $55+(3x + 2)=…
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graph the image of △tuv after a dilation with a scale factor of 3, cent…
Graph the triangle with vertices $T'(-9,-3)$, $U'(9,-3)$ and $V'(-9,6)$ on the given coordinate - grid.
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encuentra la medida de los ángulos que faltan. 134° e f d respuesta d =…
# Explicación: ## Paso1: Identificar el ángulo d El ángulo d es un ángulo recto, por lo que $d = 90^{\circ}$. ## Paso2: Identificar el ángulo e El ángulo e y el ángulo de $134^{\c…
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2-56. for each triangle below, solve for the variable and answer the qu…
a. $x = 45^{\circ}$, $\triangle ABC$ is an isosceles right - triangle. b. $y = 142^{\circ}$, The triangle is an isosceles triangle.
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encuentra la medida del ángulo que falta. respuesta a
# Explicación: ## Paso1: Saber que la suma de los ángulos es 180°. Sabemos que los ángulos mostrados suman 180°. ## Paso2: Restar los ángulos conocidos. $a = 180^{\circ}-90^{\circ…
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encuentra la medida de los ángulos que faltan. respuesta $g=square^{cir…
# Explicación: ## Paso 1: Encontrar el ángulo $g$ Los ángulos $g$ y $71^{\circ}$ son ángulos adyacentes suplementarios. Entonces $g = 180^{\circ}-71^{\circ}$. $g=109^{\circ}$ ## P…
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2 - 53. the area of the triangle at right is 25 square feet. determine …
$h=\frac{25}{3}$ feet, Perimeter $=\frac{\sqrt{769}+\sqrt{661}+18}{3}$ feet
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encuentra la medida de los ángulos que faltan. respuesta d = ° e = ° f …
# Explicación: ## Paso 1: Identificar el ángulo d El ángulo d es un ángulo recto, por lo que mide 90°. ## Paso 2: Identificar el ángulo e El ángulo de 97° y el ángulo e son ángulo…
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rt and uw are parallel lines. which angles are vertical angles? ∠wvx an…
\(\angle WVX\) and \(\angle RSV\)
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np and qs are parallel lines. which angles are alternate interior angle…
$\angle QRO$ and $\angle POR$
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6. given: l || m; ∠4≅∠□ prove: ∠8 and ∠9 are supplementary statements r…
Statements: 1. \(l\parallel m\) (Given) 2. \(\angle4\cong\angle8\) (Corresponding - angles postulate) 3. \(\angle4\cong\angle9\) (Given) 4. \(\angle8\cong\angle9\) (Transitive pro…
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use the given information to find m∠a. m∠d = 117°, m∠a=(2x)°, m∠b=(x + …
$117$
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encuentra la medida de los ángulos que faltan. respuesta x = 58° y = 14…
# Explicación: ## Paso 1: Usar ángulos complementarios Sabemos que un ángulo recto mide 90°. Entonces, $x + 32^{\circ}=90^{\circ}$. Resolviendo para $x$: $x = 90^{\circ}-32^{\circ…
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hj and km are parallel lines. which angles are adjacent angles? ∠kli an…
$\angle KLI$ and $\angle MLI$
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encuentra la medida de los ángulos que faltan. respuesta x = y =
$x = 58^{\circ}$ $y = 148^{\circ}$
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encuentra la medida de los ángulos que faltan. respuesta g = h = k = m =
# Explicación: ## Paso1: Ángulos opuestos por el vértice Los ángulos opuestos por el vértice son iguales. Entonces, $h = 83^{\circ}$ ya que es opuesto por el vértice al ángulo de …
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in the rectangular prism shown below, which lines are parallel? (overri…
$\overrightarrow{IJ}$ and $\overrightarrow{KL}$
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in the cube shown below, which lines are intersecting? $overleftrightar…
$\overleftrightarrow{TX}$ and $\overleftrightarrow{WX}$
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20) the figure below shows the parabolic path for a scuba divers dive o…
a) 2 feet b) - 30 feet c) 40 feet
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a radio tower has a 7 - foot shadow cast by the sun. if the angle from …
$79.9107$
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refer to the figure to the right. (a) how many inches will the weight i…
(a) 12.1 (b) $38^{\circ}16'$
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find the location of q, the midpoint of $overline{pr}$. location of q:
$-4$
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refer to the figure to the right. (a) how many inches will the weight i…
(a) $12.1$ inches (b) $38^{\circ}12'$
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circular railroad curves are designated by the degree of curvature, the…
(a) 207 ft (b) 101 ft (c) 411 ft²
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name: zelma garner unit 1: geometry basics per: date: homework 2: segme…
1. $LN = 37$ 2. $MN = 23$ 3. $x = 4$ 4. $EF = 58$ 5. $UW = 67$ 6. $x = 7$ 7. $x = 14$, $BC = 27$, $CD = 61$, $BD = 88$ 8. $AB = 24$
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find the location of g, the midpoint of $overline{fh}$. f - 2.8 0 h 8.5…
$2.85$
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to make a puzzle, denzel draws lines a and b to cut along on a square p…
74
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graph the set. (-7, -5) use the tools to enter your answer. webassign n…
$\{x|-7 < x < - 5\}$; On the number line, place open circles at $-7$ and $-5$ and shade the region between them.
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3. given: p||q; ∠1≅∠5 prove: ∠2≅∠5 statements reasons
| Statements | Reasons | |--|--| | 1. \(p\parallel q\) | Given | | 2. \(\angle1\cong\angle2\) | Corresponding - Angles Postulate | | 3. \(\angle1\cong\angle5\) | Given | | 4. \(\a…
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find the location of n, the midpoint of mp.
9
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incorrect. your answer is incorrect. find the location of q, the mid - …
-6
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proving triangle congruence. is there a rigid transformation that would…
yes, a reflection across side AC
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determine the expression for the width of a rectangle the area, a, of a…
$10z - 6$
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the measure of angle stw is 25°. the measure of angle wtv is 50°. the m…
$75$
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the measure of angle fgh is 150. the measure of angle jgh is 65. the me…
$85$
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use the information contained in the figure to determine the values of …
$\sin\theta=\frac{13}{85}$, $\cos\theta=\frac{84}{85}$, $\tan\theta=\frac{13}{84}$, $\csc\theta=\frac{85}{13}$, $\sec\theta=\frac{85}{84}$, $\cot\theta=\frac{84}{13}$