Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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point y is in the interior of ∠xwz. given that \\(\\overleftrightarrow{…
36
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what is the domain? -6 < x < 3 -6 ≤ x < 3 -6 ≤ x ≤ 3 -6 < x ≤ 3
$-6 \leq x < 3$
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prove that $\\triangle mnq \\cong \\triangle pnq$. (image of triangle w…
2. \( m\angle MQN = m\angle PQN=107^\circ \) (Pick angle: \( \angle PQN \)) 3. \( NQ = NQ \) (Pick statement: \( NQ = NQ \)) 4. Congruence criterion: ASA (Angle - Side - Angle)
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molly was curious if quadrilaterals abcd and efgh were congruent, so sh…
B. One more transformation – a reflection – would map ABCD onto EFGH. So the quadrilaterals are congruent.
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determine whether the polygons are similar. if they are, write a simila…
\(\frac{3}{2}\)
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given: \\(\\overline{nh}\\) bisects \\(\\overline{pj}\\) and \\(s\\) is…
By showing $\triangle PSN\cong\triangle JSH$ (SAS: $PS = JS$, $\angle PSN=\angle JSH$, $NS = HS$) and using CPCTC, we prove $\overline{PN}\cong\overline{JH}$.
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list the pairs of congruent angles and the extended proportion that rel…
∠K ≅ ∠T ∠L ≅ ∠U ∠M ≅ ∠V
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list the pairs of congruent angles and the extended proportion that rel…
∠K ≅ ∠T ∠L ≅ ∠U ∠M ≅ ∠V
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a graph representing an inequality in one variable is shown on a line. …
number open
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fill in the blank. the ratio of corresponding linear measurements of tw…
scale factor
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two polygons are similar polygons if corresponding angles are congruent…
proportional
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fill in each blank. two polygons are similar polygons if corresponding …
congruent
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figures that have the same shape but not necessarily the same size are …
similar
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find ij. triangle image with right angle at j, angle at h is 54°, lengt…
\( 6.1 \)
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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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true/false decide if each statement is true or false, and write \true\ …
false 2.
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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…
D (with closed circle at -9 and shading to the right, representing \(k \geq -9\))
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which number line represents the solution to the inequality 2k - 4 ≥ -2…
D (with closed circle at -9 and shading to the right, representing \(k \geq -9\))
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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
Domain: $[-7, 2]$ Range: $[-8, 3]$
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find the domain and range of the relation. write in interval notation
Domain: $[-7, 2]$ Range: $[-8, 3]$
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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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solve the following inequality and graph the solution. $3(x - 2) < 2(2x…
A. $x > -4$ For the graph: On a number line, draw an open circle at $-4$ and shade all regions to the right of $-4$.
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solve the following inequality and graph the solution. $3(x - 2) < 2(2x…
A. $x > -4$ For the graph: On a number line, draw an open circle at $-4$ and shade all regions to the right of $-4$.
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a composite figure consists of two rectangles and a triangle. what is t…
C. \( 130.5\ \text{ft}^2\)
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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 \\) 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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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) \\(\\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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a rectangular prism has a length of 8 cm, width of 5 cm, and height of …
B. \(184\ \text{cm}^2\)
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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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question 6 of 10 which of the following is most likely the next step in…
D. (The circle with a diameter, two points on the circumference and the center in between)
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question 6 of 10 which of the following is most likely the next step in…
D. (The circle with a diameter, two points on the circumference and the center in between)
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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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4 in the diagram, line c is parallel to line d, and line f intersects l…
The value of \(x\) is \(83\) because the angles in the diagram are supplementary same-side interior angles.
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4 in the diagram, line c is parallel to line d, and line f intersects l…
The value of \(x\) is \(83\) because the angles in the diagram are supplementary same-side interior 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: $\frac{5}{2}$
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17. pentagon rstuv is circumscribed about a circle. what is the value o…
# Explanation: ## Step1: Recall the property of a circumscribed polygon For a polygon circumscribed about a circle (a tangential polygon), the sum of the lengths of every other si…
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16. what is the value of x? (with a diagram of a circle, a tangent, a s…
60 (Note: There might be a discrepancy between the calculated answer and the provided options, possibly due to a misread diagram or typo.)
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15. o is the center of the circle. assume that lines that appear to be …
\( 56 \)
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14. which is an equation of a circle with center (2, -1) that passes th…
D. \((x - 2)^2 + (y + 1)^2 = 26\)
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13. what is the value of x to the nearest tenth? ○ 26.8 ○ 30.0
26.8
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4. y = -x + 7 5x + 5y = 10 (and a coordinate grid with a line plotted)
There is no solution to the system of equations, as the two lines are parallel and never intersect.
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12. what is the value of x? (there is a diagram of a circle with a tria…
# Explanation: ## Step1: Recall the formula for the angle formed by a tangent and a secant. The measure of an angle formed by a tangent and a secant outside a circle is half the d…
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11. what is the value of b? you may assume that the ray is tangent to t…
\( 70^\circ \)
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9. o is the center of the circle. assume that lines that appear to be t…
\(61^{\circ}\)
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8. $overline{ab}$ is tangent to circle o at b. what is the length of th…
\( 8.4 \)
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7. what is the measure of $widehat{ea}$? $circ$ 21 $circ$ 36
36
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5. \\(\\overline{jk}\\), \\(\\overline{kl}\\), and \\(\\overline{lj}\\)…
60 units
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4. what is the value of q? 16.5 4.4 (circle diagram with a vertical lin…
\( 16.5 \) (corresponding to the option with \( 16.5 \))
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3. what is the standard form of the equation of the circle in the graph…
\(x^{2}+y^{2}=9\) (the last option, which is \(x^{2}+y^{2}=9\))
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3. what is the standard form of the equation of the circle in the graph…
\((x - 1)^2 + y^2 = 9\)
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2. what is the value of b? 90 75 (circle diagram with angles 90°, 110°,…
75
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Question was provided via image upload.
58
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10. choose two statements which should be included in an accurate summa…
C. Jim casts his lasso and captures Father Time B. Jim circles his catch many times, wrapping it in rope (Or other combinations based on passage context, but this is a common infe…