Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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practice 18. what are the values of ab and de in parallelogram abcd? se…
\( AB = 13 \), \( DE = 5 \)
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drag the red point to some location where the y - value is - 2. (again,…
The red point should be placed at a coordinate where the second value is -2, such as $\boldsymbol{(3, -2)}$ (any point with $y=-2$ is valid, e.g., $(-5, -2)$, $(2, -2)$ are also a…
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4. given: ∠n and ∠q are right angles; \\(\\overline{no} \\cong \\overli…
### Problem 4: Prove \( \triangle ONP \cong \triangle PQO \) #### Step 1: Identify Right Angles **Statement 1:** \( \angle N \) and \( \angle Q \) are right angles. **Reason 1:** …
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find the distance between the two points in simplest radical form. (6, …
$8\sqrt{2}$
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question find the distance between the two points in simplest radical f…
13
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find the distance between the two points in simplest radical form. (-6,…
$\sqrt{13}$
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geometry, unit 5 - congruent triangles proof activity - part i name for…
1. Statements: \(\overline{BC} \cong \overline{DC}\), \(\overline{AC} \cong \overline{EC}\); Reasons: Given 2. Statements: \(\angle BCA \cong \angle DCE\); Reasons: Vertical \(\an…
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11. triangles mno and pqr are similar. find the measure of the missing …
\(72\)
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15. the formula for the perimeter of a rectangle is $p = 2l + 2w$, wher…
\(l=\frac{P - 2w}{2}\) (or \(l=\frac{P}{2}-w\))
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7) solve and graph the inequality: \\(\\frac{5}{4}b < 2\\frac{2}{4}\\)
The solution to the inequality is $b < 2$. For the graph: On a number line, use an open circle at $2$ and shade the region to the left of $2$.
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10. triangles abc and def are similar. find the measure of the missing …
\(61\)
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problem 4 - part c an equilateral triangle has three sides of equal len…
\( P(s) = 3s \)
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select the two equations that represent the same line. $y - 2 = 3(x - 1…
\(y + 4=\frac{1}{2}(x - 2)\) and \(x - 2y-10 = 0\)
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question find the distance between the two points in simplest radical f…
13
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problem 4 - part c an equilateral triangle has three sides of equal len…
\( P(s) = 3s \)
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problem 4 - part a an equilateral triangle has three sides of equal len…
6
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write the coordinates of the vertices after a translation 7 units left.…
$B'(-5, 2)$ $C'(-5, 7)$ $D'(0, 7)$ $E'(0, 2)$
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deedee draws a rectangle with sides measuring 12 inches and 30 inches. …
- Area of original rectangle: \( 360 \) square inches. - Area of dilated rectangle: \( 14.4 \) (or \( \frac{72}{5} \)) square inches. - The area of the original rectangle is \( 25…
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write the coordinates of the vertices after a translation 7 units right…
$A'(10, -4)$ $B'(10, 6)$ $C'(8, -4)$
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write the coordinates of the vertices after a translation 2 units left …
$C'(-3, -3)$ $D'(4, -3)$ $E'(-6, -10)$
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are these triangles similar? using the distance formula and proportions…
The triangles are similar. This is because they both have a \(45^\circ\) angle, and the sides around this angle are proportional (the ratios of corresponding sides are equal, sati…
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solve the problem using inductive reasoning. how many line segments are…
10,28
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christine is pumping water into an aquarium at a rate of 12 liters per …
(a) \(x < 24\); Graph: Open circle at 24, shaded left (b) To meet the goal, the aquarium will have less than 324 liters of water in it. This will take less than 24 minutes.
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what have you learned so far? write a quick summary (2-3 sentences) des…
Horizontal lines are defined by a constant y-value across all x-values, so they have a slope of 0. Their standard equation is $y = k$, where $k$ is the fixed y-coordinate the line…
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a construction crew is lengthening a road. the crew is adding 6 miles t…
(a) $x \geq 13$ (b) The crew's goal is to lengthen the road to at least 130 miles. This will take at least 13 weeks.
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finding area find the area of the figure. round decimal answers to the …
54 square centimeters
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solve the problem using inductive reasoning. how many triangles are in …
A. 16
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given that n = 48 and a = 60, what is the value of b? (1 point) \\(\\bi…
\( b = 45 \) (so the option is \( b = 45 \))
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imagine that a rectangular prism similar to the one shown has a scale f…
\( 15\ cm^3 \) (corresponding to the option "15 \( cm^3 \)")
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solve it #2 a. determine the weight of a circle so the hanger stays bal…
40
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a rectangle measures 4 inches by 10 inches. it is dilated using a scale…
250
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use the image to answer the question. given that \\(\\overline{ab} = 9\…
15 (corresponding to the option "15")
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use the image to answer the question. given the image, which statement …
\( DF = \frac{1}{2}BC \) (the second option, i.e., the option with \( DF = \frac{1}{2}BC \))
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what is the area of this figure? image of a composite geometric figure …
63.5 square feet
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equations and inequalities solving a word problem using a two - step li…
(a) \(x \geq 10\) (b) To meet the goal, the tree must be at least 234 centimeters tall. This will take at least 10 years.
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which of the following is equivalent to the line defined by (4,9) and (…
D. \( 9x + 4y=72 \)
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line ( l ) is shown below. right triangles ( abc ) and ( def ) are draw…
### Part (a) # Explanation: ## Step1: Determine rise for triangle ABC Rise is the vertical change. From point A (0,0) to C (9,10)? Wait, no, looking at the graph, point A is at (0…
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graph each equation. 9) \\( \\frac{x^2}{4} + \\frac{y^2}{9} = 1 \\) gra…
The graph is an ellipse centered at the origin with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2, 0)\), \((-2, 0)\), and it is sketched by connecting these point…
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oscar has a map of the campground where he is staying. the scale shows …
$\frac{1}{2}$ ### Second Sub - Question (Actual distance to the beach)
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plot $1\\dfrac{7}{10}$ and $2\\dfrac{4}{5}$. number line from 0 to 3 wi…
To plot \(1\frac{7}{10}\) (1.7) and \(2\frac{4}{5}\) (2.8) on the number line: - For \(1\frac{7}{10}\): Locate 1 on the number line, then move 7 tenths (7 small ticks, each repres…
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try again your answer is incorrect. plot $1\\frac{1}{3}$ and $2\\frac{7…
To plot \( 1\frac{1}{3} \): From the number 1 on the number line, move \( \frac{1}{3} \) (or \( \frac{3}{9} \)) of the way towards 2. To plot \( 2\frac{7}{9} \): From the number 2…
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2. what is the area of the composite figure? a) 16 cm² c) 32 cm² b) 80 …
b) $80 \text{ cm}^2$
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which statement correctly describes the graph of $x \\geq 2$? a. open c…
d. Closed circle at 2, shading to the right
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find the area of the semicircle 18. image of a semicircle with diameter…
The area of the semicircle is \( 72\pi \) square inches (or approximately 226.08 square inches).
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what is the domian? -4≤x≤1 -2≤x≤3 -2≤y≤3 -4≤y≤1
-4 ≤ x ≤ 1
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find ij. write your answer as an integer or as a decimal rounded to the…
\( 5.9 \)
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what is the domain? options: -3 < x ≤ 3, -4 ≤ x ≤ 5, -4 ≤ y ≤ 5, -3 < y…
A. $-3 < x \leq 3$
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observa el △jkl. ¿cuál es la medida del ∠k en radianes? a. $\\frac{5\\p…
A. \(\frac{5\pi}{12}\)
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observa la imagen del ángulo $-270^{\\circ}$ en posición estándar. imag…
D. \(-630^\circ\)
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6y² = -6x² - 9 (and a graph, a mapping diagram, and a table with x: -4,…
La única representación de una función es la tabla de valores: | $x$ | $-4$ | $-3$ | $-2$ | $-1$ | $0$ | |-----|------|------|------|------|-----| | $y$ | $-4$ | $-3$ | $-2$ | $-1…
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what is the correct graph for the inequality $3 \\geq x$? \\bigcirc a. …
b. Closed circle at 3 with shading to the left
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2. write an equation of each line on the graph. points: (-2, 3), (1, 1)…
To solve for the equations of the two lines, we'll analyze each line separately. ### Line 1 (the decreasing line, passing through \((-2, 3)\) and \((1, 1)\)): ## Step 1: Calculate…
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question 5 (3 points) describe or draw the graph of the inequality belo…
- Circle type: closed (filled in) - Circle on number: \(-2\) - Arrow direction: left
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write the equation of the line in fully simplified slope-intercept form.
$y = -\frac{5}{2}x + 5$
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finding an area find the area of the circle. use 3.14 or \\(\frac{22}{7…
To find the area of a circle, we use the formula \( A = \pi r^2 \), where \( r \) is the radius of the circle (half of the diameter). Let's solve each problem one by one (assuming…
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each figure in the diagram at the right is a reflection of another figu…
The reflection rule for Figure 3 is a reflection over the vertical line \( k \), so the rule is \( (x,y)\to(-x,y) \) (assuming line \( k \) is the \( y \) - axis, or more precisel…
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which number line represents the solution to the inequality 2k - 4 ≥ -2…
The number line with a closed circle at \(-9\) and the arrow pointing to the right (assuming the correct option is the one that represents \(k\geq - 9\), for example, if we consid…
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practice three circular water towers are positioned side by side on a s…
B. \( 41\ \text{in}^2 \)
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find the domain and range of the relation. write in interval notation
Dominio: $[-8, 10]$ Rango: $[-9, 2]$
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solve the following inequality and graph the solution. $3(x - 2) < 5(2x…
The solution to the inequality is $\boldsymbol{x > \frac{5}{19}}$. The corresponding graph is **Option C** (a number line with an open circle at $\frac{5}{19}$ and a blue arrow po…
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shawna was asked to prove that the two triangles (left) are congruent, …
| Statement | Reason | |-----------|--------| | $\angle BSO \cong \angle TSA$ | Vertical angles are congruent | | $S$ is the midpoint of segment $BT$ | Given | | segment $SB \cong…
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a composite figure consists of a semicircle and a triangle. the figure …
A. 38.13 \( \text{in}^2 \)
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5. $2x - 5 > 1$ (and a number line from -5 to 5 is shown)
$x > 3$ (Graph: Open circle at 3, arrow pointing right on the number line)
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find the measure of the arc or central angle indicated. assume that lin…
1. $m\overparen{STR} = 222^\circ$ 2. $m\angle IGJ = 150^\circ$ 3. $m\angle FDG = 65^\circ$ 4. $m\angle IGJ = 105^\circ$ 5. $x = \frac{121}{38}$ or $\approx 3.18$ 6. $x = \frac{227…
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fri, jan 16 which describes the slope of the line in the graph? a zero …
The slope of the vertical line is undefined (corresponding to the option that says "undefined", likely option C if the options are A. 0, B. Positive, C. Undefined, D. Negative).
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) gra…
The graph is an ellipse centered at \((0,0)\) with vertices \((0, 3)\), \((0, - 3)\) and co - vertices \((2, 0)\), \((-2, 0)\) (the ellipse is drawn through these points on the gi…
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
# Explanation: ## Step1: Identify the conic section The equation \(\frac{x^{2}}{4}+\frac{y^{2}}{9} = 1\) is in the standard form of an ellipse \(\frac{x^{2}}{b^{2}}+\frac{y^{2}}{a…
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\) graph w…
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0,3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\). To draw it, plot these points and ske…
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friday 1/16 aki must deliver pizzas to three drop - off points, represe…
600 (assuming the path has 15 units; the actual number of units may vary depending on the traced path, but the method is to find the number of units in the path and multiply by 40)
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
The graph is an ellipse centered at the origin with vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\), drawn by connecting the points \((0,3)\), \((0, - 3)\), \((2,0)\), …
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\) graph w…
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\). To draw it, plot the center, vertices, and co - vertices …
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) gra…
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\), drawn by connecting these points smo…
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
To graph \(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\): 1. Recognize it is a vertical ellipse centered at \((0,0)\) with \(a = 3\) (semi - major axis) and \(b=2\) (semi - minor axis). 2. …
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is an ellipse with vertices at \((0, \pm3)\) and co - vertices at \((\pm2,0)\), plotted and connected as described above. (The actual graph is an ellipse centered at the…
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
To graph \(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\): 1. Recognize it is an ellipse with \(a = 3\) (semi - major axis along \(y\) - axis) and \(b = 2\) (semi - minor axis along \(x\) - …
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2. según la figura adjunta, ¿cuál es el ancho del río? a. 2961 m b. 399…
El ancho del río es aproximadamente $\boldsymbol{71,4\ \text{m}}$ (opción c).
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tema: aplicaciones trigonométricas 1. a una distancia horizontal de 890…
# Explicación: ## Paso 1: Identificar la relación trigonométrica Usamos la tangente, ya que relaciona el ángulo de elevación, la altura (lado opuesto) y la distancia horizontal (l…
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5. (-11, 7) and (-11, -2)
The distance between the points \((-11,7)\) and \((-11,-2)\) is 9.
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date: 1/15/25 find the missing value so that the ordered pairs have the…
\( x=-6 \) ### Problem 2:
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question 3 of 10 in geometry, you can use deductive rules to ____. a. p…
A. prove conjectures
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4 solve the following equations -8 + 8x = 20 6(74 - 10) = 24 18 = 8b - …
1. $x=20$ 2. $b=\frac{3}{2}$ 3. $k=2$ 4. $x=6$ --- ### Section [5]: Linear Graph Questions
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section 2: synonyms directions: choose the synonym that best matches th…
## Section 2: Synonyms 1. a. allow 2. a. piece 3. a. record ## Section 3: Antonyms 1. b. strong 2. c. temporary 3. b. separate ## Section 4: Sentences 1. chronic 2. fraction 3. sy…
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7. the area of brookes vegetable garden is 40 square feet. if the width…
The length of the garden is 5 feet.
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name date period vocabulary week 16 homework tri, -ize, frag/fract, chr…
1. accessorize 2. fraction 3. chronicle 4. triangle 5. recognize 6. trilogy 7. synchronize 8. fragment 9. triathlon 10. chronic 11. fragile 12. authorize
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day 4 1. draw a shape that has 4 vertices. what is the shape called? 2.…
Quadrilateral (or specific like square, rectangle, etc. - a shape with 4 vertices, e.g., draw a rectangle with 4 vertices) ### Question 2
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3 in the diagram, line j is parallel to line k, and line l intersects l…
The value of $y$ is $\boldsymbol{81}$ because the angles in the diagram are $\boldsymbol{corresponding angles}$.
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2 in the diagram, line m is parallel to line n, and line p intersects l…
The value of x is $\boldsymbol{55^\circ}$ because the angles in the diagram are **same-side exterior angles (supplementary)**.
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1 in the diagram, line a is parallel to line b, and line t intersects l…
a) $76$ b) $152$
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Question was provided via image upload.
a) $m\angle G = 40^\circ$, $m\angle S = 40^\circ$ b) $\angle G \cong \angle S$ c) $\angle H \cong \angle T$ d) $\angle J \cong \angle U$ e) $\triangle GHJ \sim \triangle STU$
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using the angle sum and exterior angle of triangles and the angle crite…
$q = 110^\circ$, because $180 - (63 + 47) = 70$ and $180 - 70 = 110$. Or using the exterior angle property directly: $q = 63 + 47 = 110^\circ$
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if $m\\angle nlo = 41^\\circ$ and $m\\angle nlm = 88^\\circ$, what is $…
\( 47^\circ \)
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point p is between points a and b. segment ab has a length of 35 and pb…
23
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which is another way to name \\(\\overrightarrow{pm}\\)? \\(\\bullet\\)…
Ray PT
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when two pages of a book intersect, they create a(an) select select lin…
Line
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which set of points are collinear? (image of a coordinate system with p…
H,A,S
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what is the missing length in the scaled copy? original rectangle with …
15 units
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name date a classroom story 18 part 5 of 5 \washingtons lost treasure\ …
1. Eric Fincher and Wellington C. Livingston were spying on them; they were eavesdropping through the cracked office window and heard all the details about the treasure's location…
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cale factor #1 aled copies. answer each question. 2. what scale factor …
1. The scale factor from polygon A to polygon B is $\frac{1}{4}$ 2. The scale factor from polygon C to polygon D is $\frac{4}{3}$
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18. what is ( mangle dfe )? ( \bigcirc ) 42 ( \bigcirc ) 119 ( moverarc…
119 (assuming the angle is supplementary to the angle calculated by the inside angle formula, maybe due to a misinterpretation of the diagram, but among the given options, 119 is …
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what scale factor takes polygon n to polygon m? 16 in. n 7 in. 48 in. m…
1. Scale factor from N to M: $3$ 2. Scale factor from J to H: $\frac{5}{2}$