Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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question 7 of 10 in line segment ab with endpoints a(5,9) and b(-2,16),…
\((4,\frac{16}{7})\)
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(a) the perimeter of a rectangular parking lot is 300 m. if the width o…
Length of the parking lot: 83 m Width of the pool: 55 m
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michael and derrick each completed a separate proof to show that corres…
Michael completed the proof incorrectly because in his step 2, $\angle AKG$ and $\angle AKL$ are not vertical angles but adjacent angles forming a linear pair.
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lines cm, hl, en and ab are shown where m∠cde = 90°. determine if the g…
- For $\angle CDJ\cong\angle DLK$: Yes, by the Alternate - Interior Angles Theorem - For $\angle ALM\cong\angle DLK$: No, vertical - angle congruence does not imply parallel lines…
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2. a developer wants to reduce this floor plan drawing so that it will …
a. The lengths in the reduced floor - plan drawing are 3 inches and 1.5 inches. b. The scale factor is 0.5.
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question 6 of 10 in line segment ab with endpoints a(1,6) and b(16, - 1…
\((10,-6)\)
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32. using properties of parallel lines use the given information to fin…
$m\angle2 = 132^{\circ}$ (Linear - Pair Postulate), $m\angle3 = 48^{\circ}$ (Vertical Angles Theorem), $m\angle4 = 132^{\circ}$ (Vertical Angles Theorem), $m\angle5 = 132^{\circ}$…
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for the following right triangle, find the side length x.
17
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look at this diagram: if (overline{bd}) and (overline{eg}) are parallel…
# Explicación: ## Paso1: Identificar ángulos adyacentes Los ángulos $\angle EFC$ y $\angle GFH$ son ángulos adyacentes y forman un ángulo llano de $180^{\circ}$. ## Paso2: Calcula…
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if (overleftrightarrow{rt}) and (overleftrightarrow{uw}) are parallel l…
# Explicación: ## Paso 1: Identificar ángulos relacionados Los ángulos $\angle UVS$ y $\angle TSR$ son ángulos opuestos por el vértice. ## Paso 2: Aplicar propiedad de ángulos opu…
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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos opuestos por el vértice Los ángulos $\angle UTR$ y $\angle STW$ son ángulos opuestos por el vértice. ## Paso 2: Aplicar la propiedad …
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look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle ONK$ y $\angle LKI$ son ángulos correspondientes ya que $\overleftrightarrow{JL}$ y $\overleftri…
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the helicopter travels at a constant speed along the path shown in the …
$(-29.25,0)$
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look at this diagram. if (overleftrightarrow{su}) and (overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle UTR$ y $\angle VWR$ son ángulos correspondientes ya que $\overleftrightarrow{SU}$ y $\overleftri…
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an isosceles triangle has an area of 22 cm², and the angle between the …
\(9.4\)
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look at this diagram. if mo and pr are parallel lines and m∠mnl = 122°,…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle MNL$ y $\angle PQR$ son ángulos correspondientes ya que $MO$ y $PR$ son líneas paralelas cortada…
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look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarr…
$41^{\circ}$
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point p(34,42) lies on line segment ab in the cartesian plane below. in…
$2:1$
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
# Explicación: ## Paso1: Identificar ángulos adyacentes Los ángulos $\angle TSP$ y $\angle OPS$ son ángulos adyacentes suplementarios ya que $\overleftrightarrow{OQ}$ y $\overleft…
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if a right triangle has legs of length 1 and 2, what is the length of t…
The length of the hypotenuse when legs are 1 and 2 is \(\sqrt{5}\). The length of the other leg when one leg is 1 and hypotenuse is \(x\) is \(\sqrt{x^{2}-1}\) (for \(x > 1\)).
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miguel needs to fix a window screen that is 23 feet above the ground. t…
$24$ ft
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6. if the length of a rectangle is 4 units more than its width and its …
d. $0 = w^{2}+4w - 20$
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look at this diagram: if (overleftrightarrow{hj}) and (overleftrightarr…
$66$
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find the area of the triangle below. be sure to include the correct uni…
$73.5$ yd$^{2}$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
# Explicación: ## Paso 1: Identificar la relación entre los ángulos Los ángulos $\angle EDB$ y $\angle CDB$ son adyacentes y forman un ángulo recto (180°). ## Paso 2: Calcular la …
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look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle{LMJ}$ y $\angle{KJM}$ son ángulos correspondientes. Cuando dos líneas paralelas ($IK$ y $LN$) so…
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17. using properties of parallel lines use the given information to fin…
$m\angle2 = 73^{\circ}$, $m\angle3 = 107^{\circ}$, $m\angle4 = 73^{\circ}$, $m\angle5 = 107^{\circ}$, $m\angle6 = 73^{\circ}$, $m\angle7 = 107^{\circ}$, $m\angle8 = 73^{\circ}$
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$46$
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look at this diagram: if (overrightarrow{eg}) and (overrightarrow{hj}) …
$119^{\circ}$
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a point p(6,0) divides line segment ab in a ratio of 2:1 from endpoint …
$(10,-4)$
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find the value of x.
$49$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos opuestos por el vértice Los ángulos $\angle EDB$ y $\angle CDG$ son ángulos opuestos por el vértice. ## Paso 2: Aplicar propiedad de …
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how can we calculate the area of the striped region? choose 1 answer: a…
A. $\frac{7}{5}\times\frac{1}{2}$
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find the value of x.
$75$
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in line segment ab with endpoints a(9,11) and b(5, - 13), the point p i…
$(8,5)$
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how can we describe the area of the striped rectangle? choose 1 answer:…
B. $\frac{4}{10}$ of $\frac{2}{3}$
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using parallel lines find the values of x and y. explain your reasoni 1…
\(x = 130\), \(y = 50\)
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etermining missing components of right triangles use the information gi…
$m\angle G = 60^{\circ}$, $HI\approx26.0$, $GH = 15$
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in line segment ab with endpoints a(-3,-4) and b(6,14), the point p div…
$(1,4)$
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answer the questions below. (a) the area of a rectangular field is 6776…
(a) 88 (b) 85
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10. converse: (4x - 13)° (2x + 37)° 11. converse: (24x + 9)° (7x - 15)°…
1. **Question 10**: - **Explanation**: - ## Step 1: Set up the equation based on corresponding - angles postulate - If two lines \(l\) and \(m\) are parallel, then the correspondi…
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answer the questions below. (a) the perimeter of a rectangular parking …
(a) 97 (b) 53
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how can we calculate the area of the striped rectangle? choose 1 answer…
B. $\frac{1}{9}\times\frac{1}{3}$
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find the area of the right triangle. area = square units
6
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9. find value of x 5. find the value of x and y. then find the measure …
$x = 5$, $y = 10$, the angles are $30^{\circ}$ and $150^{\circ}$
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rounded to the nearest tenth, what is the length of ln? sin(20°) = ln/8…
$2.7$
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2. two out of three. if a right triangle has legs of length 1 and 2, wh…
2. The length of the hypotenuse is \(\sqrt{5}\). 3. The length of the other leg is \(2\sqrt{2}\). 4. The area of the rectangle is 12 square inches. 5. The sum of the areas of the …
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2. two out of three. if a right triangle has legs of length 1 and 2, wh…
The length of the hypotenuse in the first case is \(\sqrt{5}\), and the length of the other leg in the second case is \(2\sqrt{2}\) ### 3.
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su and vx are parallel lines. which angles are vertical angles? ∠utw an…
$\angle UTW$ and $\angle XWY$
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find the distance and midpoint of the line segment shown in the graph. …
distance = $2\sqrt{13}$, midpoint = $(1,1)$
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find the distance and midpoint of the line segment shown in the graph. …
distance = $2\sqrt{13}$, midpoint = $(1,1)$
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what are the correct trigonometric ratios that could be used to determi…
$\sin(20^{\circ})=\frac{LN}{8}$, $\cos(70^{\circ})=\frac{LN}{8}$
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using parallel lines find the values of x and y. explain your reasoni 1…
\(x = 65^{\circ}\), \(y = 115^{\circ}\)
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13. -/1 points find the area of an equilateral triangle with side of le…
$81\sqrt{3}$
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the main, or central, idea of the passage is because of the triangle sh…
# Breve explicación: El detalle en negrita describe cómo muchos trabajadores estuvieron atrapados debido a la colisión de la escalera de incendios y la puerta de salida cerrada, l…
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read the passage. the triangle shirtwaist fire the early twentieth cent…
# Breve explicación: El texto describe el incendio en la fábrica Triangle Shirtwaist, que resultó en la muerte de muchos trabajadores debido a las malas condiciones de trabajo. Es…
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graph the solution to the inequality on the number line. |u| > 7
Shade the region to the left of \(u=-7\) (open - circle at \(u = - 7\)) and the region to the right of \(u = 7\) (open - circle at \(u = 7\)) on the number line.
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look at this sentence: the speed at which a caterpillar turns into a bu…
3. to change form, shape, or color
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directions: if (lparallel m), solve for (x) and (y).
Problem 10: \(x =-\frac{22}{3},y=\frac{107}{4}\) Problem 11: \(x=\frac{49}{3},y=\frac{269}{33}\) Problem 12: \(x=\frac{111}{4},y=\frac{123}{28}\)
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find the area of a triangle with sides of length 7 and 8 and included a…
\(A\approx25.96\)
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challenge #1 a. sketch the solutions to this inequality on the number l…
a. Mark a closed circle at 8 on the number - line and shade to the left. b. $x\leq8$
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m(-3, -1) is the midpoint of segment fg. point g is at (-8, 6). what ar…
$(2,-8)$
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directions: if (lparallel m), solve for (x) and (y). 9. ((9x + 25)^{cir…
1. **For problem 10**: - Since \(l\parallel m\), the corresponding - angles are equal. So, \(3x - 29=6x - 7\). - **Step 1: Rearrange the equation** - Subtract \(3x\) from both sid…
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directions: if l || m, solve for x and y. 9. (9x + 25)° (13x - 19)° (17…
\(x = 24,y = 15\) 2. **For problem 11**: - Since \(l\parallel m\), the vertical angles and the angle - relationships due to parallel lines are used. The angles \((3x)^{\circ}\) an…
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10. higher order thinking a fish tank at an aquarium has a volume of 1,…
14 feet
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find the value of x.
\(x = 88\)
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find the value of x.
134
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in the figure below, s is between q and t, and r is the mid - point of …
6
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in the figure below, f is between e and g, and g is between f and h. if…
$18$
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throwback thursday parts of speech label the part of speech for each bo…
Parts - of - speech: She (PN), quickly (Adv), grabbed (V), warm (Adj), jacket (N), before (Prep), stepping (V), outside (Adv) Direct/Indirect Objects: 1. Circle: a thoughtful birt…
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7. benjamin rents a storage unit that is shaped like a cube. there are …
60 feet
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6. nadia wants to enclose a square garden with fencing. it has an area …
47 feet
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using parallel lines find the values of x and y. explain your reasoni 1…
$x = 109$, $y = 71$
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in the figure below, n is between m and o, and o is between n and p. if…
$10$
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5. the area of a square garage is 121 square feet. will it fit a car th…
No, it will not fit because the side - length of the square garage (11 feet) is less than the length of the car (13 feet).
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4. the volume of a box for earrings is 216 cubic centimeters. what is t…
6 centimeters
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1 - 4 additional practice leveled practice in 1 and 2, evaluate the squ…
3 cm, 3 cm, 3
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deriving the distance formula. use the explore tool to investigate the …
The distance between points $D$ and $A$ is calculated using the formula $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points $D$ a…
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using parallel lines find the values of x and y. explain your reasoning…
$x = 67$, $y = 67$
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31 colour the prisms yellow. colour the pyramids purple. colour the oth…
You need to perform the above - described actions (colouring and marking) on the given figures in the picture.
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solve for m∠mno if m∠mnp = 33° and m∠pno = 41°. answer attempt 1 out of…
# Explicación: ## Paso 1: Identificar la relación entre los ángulos Observamos que el ángulo $\angle MNO$ es la suma de los ángulos $\angle MNP$ y $\angle PNO$. ## Paso 2: Sumar l…
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solve for m∠hik. answer attempt 2 out of 2 m∠hik = ° submit answer
$114$
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question solve for m∠ghj. answer attempt 1 out of 2 m∠ghj = ° submit an…
# Explicación: ## Paso 1: Identificar la relación de ángulos Observamos que el ángulo de $117^{\circ}$ y $\angle GHJ$ son complementarios. ## Paso 2: Calcular el valor de $\angle …
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solve for m∠igh if m∠fgh = 73° and m∠fgi = 40°. answer attempt 1 out of…
# Explicación: ## Paso1: Identificar la relación de ángulos Observamos que $\angle FGH=\angle FGI + \angle IGH$. ## Paso2: Despejar $\angle IGH$ Re - arreglamos la ecuación: $\ang…
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question solve for m∠pno. answer attempt 1 out of 2 m∠pno = ° submit an…
# Explicación paso a paso: ## Paso 1: Identificar los ángulos dados Observamos que el ángulo $\angle PNO$ está formado por la diferencia entre el ángulo $\angle MNO = 68^{\circ}$ …
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question solve for m∠nlm if m∠klm = 118° and m∠kln = 55°. answer attemp…
# Explicación: ## Paso 1: Identificar la relación de ángulos Observamos que $\angle KLM=\angle KLN + \angle NLM$. ## Paso 2: Despejar $\angle NLM$ Re - arreglamos la ecuación: $\a…
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9. stereo connections (exh). given the stereographic projection as a on…
For question 9: Points on the circle corresponding to \(a,b,c,d,e\) can be found by drawing lines from the un - paired point on the circle to each of these real - line points and …
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question solve for m∠nop if m∠noq = 36° and m∠qop = 32°. answer attempt…
$68$
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this series of problems will build your fluency with solving compound i…
The solution of the compound inequality is \(14\leq x\leq16\). On a number line, you would draw a solid circle at \(x = 14\) and \(x = 16\) and shade the region between them.
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question solve for m∠uvw if m∠uvx = 52° and m∠xvw = 42°. answer attempt…
# Explicación: ## Paso 1: Identificar la relación de ángulos Observamos que $\angle{UVW}=\angle{UVX}+\angle{XVW}$. ## Paso 2: Sustituir valores dados Dado que $m\angle{UVX} = 52^{…
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solve the nonlinear inequality. express the solution using interval not…
The solution in interval notation is $(-\infty,-7)\cup(4,\infty)$. To graph the solution set on the number - line: - Place open circles at $x=-7$ and $x = 4$ (since the inequality…
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solve for m∠cde. answer attempt 2 out of 2 m∠cde = 60° submit answer
# Explicación: ## Paso 1: Identificar los ángulos dados Observamos que los ángulos adyacentes a ∠CDE son de 30° y 53°. ## Paso 2: Sumar los ángulos adyacentes La medida de ∠CDE es…
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nicole is going to build a large wooden storage box. the box will be in…
$584$
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are the triangles below acute, obtuse, or right? triangle a triangle b …
Triangle A: Obtuse Triangle B: Acute Triangle C: Obtuse Triangle D: Right
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solve for m∠cde. answer attempt 1 out of 2 m∠cde =
$60$
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in the figure below, m∠1 = 34° and m∠2 = 39°. find m∠tsw.
$73$
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in the figure below, m∠1 = 34° and m∠2 = 39°. find m∠tsw.
$73$
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the radius of a cylindrical construction pipe is 1.5 ft. if the pipe is…
$106$ ft$^{3}$
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find the measure of the missing angle. answer
$20^{\circ}$
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in the figure below, (mangle jkl = 75^{circ}) and (mangle1 = 29^{circ})…
$46$