几何
三角形、圆、解析几何与证明题。
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18 multiple choice 1 point which construction is shown? ○ rhombus ○ cop…
Perpendicular Bisector
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16 multiple choice 1 point which construction could this be? - inscribe…
Inscribed Hexagon
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13 multiple choice 1 point find the perimeter of a triangle with vertic…
14.15 units
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12 multiple choice 1 point which of the following is not a property of …
diagonals bisect the angles
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multiple choice 1 point a triangle whose sides are all different length…
B. scalene
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10 multiple choice 1 point julie wants to show that a quadrilateral wit…
4
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9 multiple choice 1 point solve for x. image of two parallel lines cut …
-10
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identify the relationship between the pair of angles. image of two para…
Vertical Angles
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line ab is parallel to line cd. what is the measure of $\\angle 3$? opt…
Wait, correction: Re-evaluating, $\angle 3$ and the $80^\circ$ angle are same-side interior angles. ## Step1: Recall same-side interior angles rule For parallel lines, same-side i…
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find x if m∠rqp = 8x - 4, m∠rqe = 34 deg, and m∠eqp = 4x + 6. options: …
11
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find $m\\angle qrs$, if $m\\angle qrd = 5x - 10$, $m\\angle drs = 110$ …
160 degrees
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4 multiple choice 1 point what is the measure of ∠cbf? diagram with poi…
136°
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3 true or false 1 point the name of the circle pictured is circle c. tr…
False
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multiple choice 1 point which of the following is the appropriate way t…
$\overline{AD}$
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11 multiple choice 1 point the height of a triangle is six times the ba…
B. $3x^2$
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multiple choice 1 point the height of a triangle is six times the base.…
$3x^2$ (corresponding to the second option)
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8 multiple choice 1 point the length of a rectangle is 4 times its widt…
$4x^2$ (the last option)
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5 multiple choice 1 point the length of a rectangle is 5 more than twic…
D. $6x + 10$
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learn with an example or watch a video 45 mi. 60 mi. what is the length…
75 miles
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find the slope of the line that passes through these two points. (2, -3…
Slope: $\frac{7}{4}$ a) positive
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find the slope of the line that passes through these two points. (2, -3…
Slope: $\frac{7}{4}$ a) positive
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find the slope of the line that passes through these two points. (-2, 3…
The slope is $\frac{1}{6}$, and it is a) positive
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10) gn = 6x + 1 ge = 11x + 5 find ge (there is a diagram of a parallelo…
\( GE = 38 \)
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find the measurement indicated in each parallelogram. 9) dm = 4x - 4 mf…
\( DF = 48 \)
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for which segment lengths is \\(\\overline{qs}\\) parallel to \\(\\over…
To determine when \(\overline{QS}\) is parallel to \(\overline{MN}\), we use the **Basic Proportionality Theorem (Thales' theorem)**, which states that if a line is drawn parallel…
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solve for ( x ). round to the nearest tenth of a degree, if necessary. …
$60.9$
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in the diagram, $\\triangle efg \\cong \\triangle opq$. complete the st…
1. $\overline{OP}$ 2. $\angle P$ 3. $\angle Q$ 4. $\angle E$ 5. $\overline{GE}$ (or $\overline{EG}$) 6. $\triangle QPO$ 8. Congruence statement: $\triangle EGI \cong \triangle QOM…
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solve for ( x ). round to the nearest tenth, if necessary. right triang…
$x = 6.7$
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solve for ( x ). round to the nearest tenth, if necessary. right triang…
$x = 2.1$
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question solve for ( x ). round to the nearest tenth, if necessary. tri…
$x = 14.8$
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a line intersects two parallel lines, forming four acute angles and fou…
1470
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15 $x^2 - 6x + y^2 - 4y - 51 = 0$ in the $xy$-plane, the graph of the g…
C) 64
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12 a rectangle is inscribed in a circle such that the length of the dia…
D. 3,249√3
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10 a right circular cone has a volume of 2,700π cubic centimeters and t…
D. 39
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find the exact value of tan o in simplest radical form. triangle image …
$\frac{4}{3}$
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find the exact value of sin z in simplest radical form. right triangle …
$\frac{4}{5}$
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solve the system (1) how many solutions are there? one no solution infi…
How many solutions are there? One What is the solution? $(4, -2)$
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the measures of the angles of a triangle are shown in the figure below.…
$x=8$
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a side of the triangle below has been extended to form an exterior angl…
\(x = 48\)
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all of the quadrilaterals in the shape below are squares. find the area…
64
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given the two rectangles below. find the area of the shaded region. 4 2…
34
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identifying included angles use △def to complete the statements. angle …
1. Angle E is the included angle between sides FE and DE 2. The included angle between sides FE and DF is angle F (already confirmed as correct)
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8. label the circled locations with the early cold war event that occur…
1. Bottom box (Europe): **Berlin Airlift** 2. Middle box (Korea): **Korean War** 3. Top box (Cuba): **Cuban Missile Crisis** 4. (Context for Iron Curtain): A division of post-WWII…
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are the triangles below similar? triangle efd with angles: at e: 59°, a…
yes
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identifying included angles use △def to complete the statements. angle …
1. Angle E is the included angle between sides FE and DE 2. The included angle between sides FE and DF is angle F (already confirmed as correct)
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are the polygons below similar? triangle-like quadrilateral uvwx with s…
no
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graph each equation. 9) $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$
The graph is an ellipse with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\), symmetric about the \(x\) - axis and \(y\) - axis, passing through th…
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graph each equation. 9) $\\frac{x^2}{4} + \\frac{y^2}{9} = 1$ graph wit…
The graph is an ellipse with vertices at \((0, 3)\), \((0,-3)\) and co - vertices at \((2, 0)\), \((-2, 0)\), symmetric about the \(x\) - axis and \(y\) - axis. (To draw it, plot …
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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 \((0,0)\) 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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graph each equation. 9) $\frac{x^2}{4} + \frac{y^2}{9} = 1$ coordinate …
To graph \(\boldsymbol{\frac{x^{2}}{4}+\frac{y^{2}}{9}=1}\): 1. Recognize it as an ellipse with center \((0,0)\), \(a = 3\) (semi - major axis, vertical), \(b = 2\) (semi - minor …
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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 with vertices \((0,\pm3)\) and co - vertices \((\pm2,0)\). To draw it, plot the points \((0,3)\), \((0, - 3)\), \((2,0)\), \((-2,0)\…
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use pascals triangle to expand ((y^2 + z^2)^3). express your answer in …
\(y^{6}+3y^{4}z^{2}+3y^{2}z^{4}+z^{6}\)
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standardized money golden ages require a lot of wealth. for artists and…
3. Standardized money unifies economies, simplifies trade, eases tax collection, and stabilizes economic activity. If US states used separate currencies, inter-state trade would b…
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binomial theorem (pascals triangle) this is the only question in this s…
\(8y^6 - 24y^4 + 24y^2 - 8\)
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find the missing length. 14) $\\triangle uts \\sim \\triangle uef$ 15) …
For problem 16, $x = 10$ ### Problem 15: $\triangle UVW \sim \triangle URQ$
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question use pascals triangle to expand ((5y - 1)^5). express your answ…
\(3125y^{5}-3125y^{4}+1250y^{3}-250y^{2}+25y - 1\)
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the perimeter of a rectangle is 48 inches. the length of the rectangle …
108 square inches
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write a rule to describe each transformation. 17) image of a coordinate…
D. dilation of \( \frac{5}{2} \) about the origin ### Problem 18
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14 quadrilateral cdef is similar to quadrilateral mnop. what is the mea…
A. $114^\circ$
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22 triangle a has two interior angles that measure 24° and 76°. triangl…
A. Triangle A is similar to triangle B because the interior angles of the two triangles have the same measures.
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solve the inequality and graph the solution. 2 + 4r > -2 to draw a ray,…
The solution to the inequality \( 2 + 4r > -2 \) is \( r > -1 \). To graph this, we plot an open circle at \( -1 \) (because the inequality is strict, \( > \), not \( \geq \)) and…
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24 one of the angles of right triangle p measures 65°. one of the angle…
B. Triangle P is not similar to triangle Q because the interior angles of the two triangles do not have the same
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triangle abc is similar to triangle rst. what is the measure of angle a…
D. $119^\circ$
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19 quadrilateral abcd is similar to quadrilateral wxyz. what is the mea…
A. 136°
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10 the lengths of the sides of triangle efg are shown on the right. whi…
A. Triangle with sides 6 in, 8 in, 9 in (triangle NOM)
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answer attempt 1 out of 2 the quadrilateral is most specifically a rect…
The quadrilateral is most specifically a rectangle, because all sides meet at right angles.
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29 quadrilateral abcd was dilated to make quadrilateral abcd. (there ar…
B. 27.5 inches
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the text in the image is partially visible and in a language (likely sp…
To solve these multiple - choice questions, we analyze each one: ### Question 24 We need to determine which option correctly describes the concept related to the study of social p…
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part a directions match the instrument in column a with the correct sou…
## Part A 1. banjos - D happy 2. saxophones - A sob 3. trombones - C ooze 4. drums - B bang 5. sandpaper - E slippery 6. tin pans - F batter ## Part B 7. A Carl Sandburg 8. A one …
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the image contains a page with text (partially visible, likely spanish-…
To solve these multiple - choice questions, we analyze each one based on relevant knowledge: ### Question 24 We need to determine which option correctly describes the concept rela…
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plot the point on this function with a y - value of 3. what is the x - …
$x=0$ (the point is $(0, 3)$)
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plot the two points on this function with y-values of 6. what are the x…
The x-values are 0 and 10, corresponding to the points $(0, 6)$ and $(10, 6)$.
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9. find the perimeter of $\\triangle mnp$. 10. find the measure of each…
$50 + 41.6 + 44 = 135.6$ --- ### Problem 10
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5. solve for x. 7. find jl. 8. find gh. 6. solve for x.
1. Problem 5: $x = 15$ 2. Problem 6: $x = 6$ 3. Problem 7: $JL = 78$ 4. Problem 8: $GH = 47$
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which statement about the two triangles shown below is true? (image of …
C) The triangles are similar by SAS Similarity.
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5. find the area of $\\triangle abc$. (an equilateral triangle $abc$ wi…
The area of \( \triangle ABC \) is \( \frac{49\sqrt{3}}{4} \) (or approximately \( 21.22 \) if a decimal approximation is preferred).
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which statement about the two triangles shown below is true? (image of …
C) The triangles are similar by SAS Similarity.
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the volume of this cone is 1,271.7 cubic feet. what is the height of th…
\( 14.99 \)
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in exercises 1–4, determine whether a triangle with the given side leng…
s: 1. Not a right triangle. 2. Right triangle. 3. Right triangle. 4. Right triangle.
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a cone has a height of 4 feet and a radius of 3 feet. what is its volum…
\( 37.70 \)
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2. what is the euclidean distance from (2, 3) to the following points? …
\( \sqrt{65} \) (or approximately 8.06) ### Part b: Distance to (4, 8)
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1. what is the taxicab distance from (2, 3) to the following points? a.…
s: a. \(\boldsymbol{11}\) b. \(\boldsymbol{10}\) c. \(\boldsymbol{4}\) d. \(\boldsymbol{6.4}\) e. \(\boldsymbol{3.24}\) f. \(\boldsymbol{5.64}\)
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discussion a. repeat problem 2 with each of the following. does the pyt…
### Part A #### a. Acute Triangle # Explanation: ## Step1: Recall Pythagorean Theorem The Pythagorean theorem states that for a right - triangle with legs of length \(a\) and \(b\…
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find j. triangle with right angle, two 45° angles, one leg 6√3 m, hypot…
\(6\sqrt{6}\)
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solve for x. round to the nearest tenth, if necessary. triangle image w…
$3.6$
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solve for x. round to the nearest tenth, if necessary! (image of a tria…
No such triangle exists, as the calculated sine value for angle B is greater than 1, which is outside the valid range of the sine function.
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find m. triangle with angles 45°, 45°, right angle, one leg 8√2 km, hyp…
16
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find the measure of the missing angle. the measure of the missing angle…
\(43^\circ\)
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find u. triangle with angles 45°, 45°, right angle, hypotenuse 4√2 km, …
\(4\)
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find the value of x.
\(125\)
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literacy tx edition ready read respond reflect write stretch to - do no…
Disagree
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for exercises 28–30, find each length and value for square qrst. round …
s: 28. \( \boldsymbol{SV\approx2.8} \) 29. \( \boldsymbol{RT\approx5.7} \) 30. \( \boldsymbol{\text{Perimeter of } \triangle RVS\approx9.6} \)
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2 a roll of paper that is 3 feet wide can be cut to any length. a. if w…
The perimeter of the paper is 11 feet. ### Part (b) The perimeter formula for a rectangle is \( P = 2(l + 3)=2l+6 \) (since \( w = 3 \)). We will use this formula to find the peri…
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1) given \\( \\angle amr \\) \\( 12x - 18 \\) \\( \\angle ymg \\) \\( 8…
1) $x = 6$ 2) $\angle AMR = 54$ 3) $\angle YMG = 54$
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when publicity stunts get goofy teen, chronicle, business theres a red …
C. Snapple does the best stunts.
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the pair of polygons is similar. find the value of x. image of two simi…
2
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the pair of polygons is similar. find the value of x.
\(x = 3\)
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when publicity stunts get goofy teen channel: business theres a red car…
C. ways that companies market their products
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determine whether the pair of figures is similar. if so, find the scale…
The triangles are similar by AA similarity. The scale factor (from \( \triangle BDC \) to the larger triangle) is \( \frac{5}{3} \) (or from the larger to \( \triangle BDC \) is \…
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for exercises 24–27, find each length and angle measure for rectangle g…
\( 38.0^\circ \) (rounded to nearest tenth, though it's a whole number here) ### 25. \( m\angle HLJ \)