几何
三角形、圆、解析几何与证明题。
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simplify using the properties of exponents. circle your final answers. …
$\frac{2}{3}$ ### Problem 2: $\boldsymbol{\frac{10^4}{10^6}}$
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x° 45° 选项：\\(\\frac{x}{45}=180\\)；\\(x + 45 = 90\\)；\\(180 = x + 45\\)；…
$\boldsymbol{x+45=90}$
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1. we ______________ the second shift at a factory. (work) 2. quick! th…
### Parte 1 (Completar con Present Progressive): 1. We **are working** the second shift at a factory. 2. Quick! They **are coming** up the driveway now. 3. I don't feel well. I **…
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17. given △abc with (a^2 + b^2 = c^2), write a paragraph proof of the c…
**Paragraph Proof:** Let $\triangle ABC$ be a triangle with side lengths $a$, $b$, $c$ such that $a^2 + b^2 = c^2$. Construct a right triangle $\triangle DEF$ with a right angle a…
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which sentence uses an apostrophe correctly in a plural possessive noun…
B. The United States' national anthem is "The Star-Spangled Banner." C. The basketball players' lockers will be cleaned out on Friday.
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which inequality matches the picture shown? y ≥ x y > x y ≤ x y < x
A. $y \geq x$
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the inequality, $x \\leq 2$, will make what type of line?\ dashed, vert…
solid, vertical
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what type of line is used with the following symbols, ≤ and ≥? dashed o…
solid
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which point below is not part of the solution set? (0, 0) (5, 1) (-1, -…
(-1, -3)
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for the rhombus below, find the measures of ∠1, ∠2, ∠3, and ∠4.
$m\angle 1 = 41^\circ$ $m\angle 2 = 139^\circ$ $m\angle 3 = 69.5^\circ$ $m\angle 4 = 20.5^\circ$
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for the rhombus below, find the measures of ∠1, ∠2, ∠3, and ∠4.\ your a…
$m\angle1 = 31^\circ$ $m\angle2 = 59^\circ$ $m\angle3 = 59^\circ$ $m\angle4 = 31^\circ$
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write the coordinates of the vertices after a dilation with a scale fac…
$J'(-9, 3)$, $K'(-9, 6)$, $L'(-6, 6)$
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7 multiple choice 40 points which shape has 4 sides? circle pentagon he…
D. Quadrilateral
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fill in the blank 18 points trapezoid stvu is shown below. find the len…
29
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graph the image of kite abcd after a dilation with a scale factor of 4,…
The vertices of the dilated kite are $A'(0,-8)$, $B'(8,4)$, $C'(0,8)$, $D'(-8,4)$. When plotted and connected, these form the image of kite $ABCD$ after dilation with scale factor…
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trapezoid bcde is shown below. be = 8x - 27, cd = 2x + 33, and ∠bcd = 5…
43
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choose the correct inequality for this graph. $y>2x - 3$; $ygeq2x - 3$;…
$y < 2x - 3$
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write the coordinates of the vertices after a translation 1 unit left a…
$F'(-6, -10)$, $H'(-6, -8)$, $G'(4, -10)$
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for this symbol, do you shade above or below the line?
Below the line (corresponding to the top diagram's shaded area, assuming the line has a positive slope in the form $y \leq mx + b$)
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choose the correct inequality for this graph. y > -x + 2 y ≥ -x + 2 y <…
$y > -x + 2$
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which ordered pair is a solution of the inequality shown in the graph? …
(-1, -1)
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quadrilateral z has the following properties: - four congruent sides - …
D. Rhombus
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3 fill in the blank 12 points quadrilateral c has exactly one pair of o…
Consecutive angles of Quadrilateral C are supplementary. ### Sub - Question 4
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x + y > 4\ 2x - y < 3\ x + y ≤ 4\ 2x - y ≥ 3\ x + y < 4\ 2x - y > 3
To solve this, we analyze each inequality and the corresponding graph: ### Step 1: Analyze \( x + y > 4 \) Rewrite as \( y > -x + 4 \). The line \( y = -x + 4 \) has a slope of \(…
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3 fill in the blank quadrilateral c has exactly one pair of opposite pa…
Trapezoid
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which point below is not part of the solution set? (0,0) (-1,5) (5,20) …
(-10, -10)
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2 multiple choice 6 points nrtw is a parallelogram whose diagonals inte…
C. Diagonal bisect each other. Multiply the half diagonal by 2 to make it equal to the other diagonal.
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figures that are the same shape but not the same size are called ______…
C. similar
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which statements about the system are true? check all that apply. the s…
- The system has one solution. - The solution is the intersection of the 2 lines.
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find the distance between the two points in simplest radical form.
$\sqrt{61}$
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find the distance between the two points in simplest radical form.
$\sqrt{61}$
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in the triangle below, with right angle $\\angle r$, suppose that $m\\a…
\(m\angle P = 46^\circ\) \(m\angle Q = 44^\circ\) \(m\angle R = 90^\circ\)
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what is the slope of this line? simplify your answer and write it as a …
$\frac{1}{2}$
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10. the length of a rectangle is 20 units more than its width. the area…
B. $x^2 - 10$ because the area expression can be rewritten as $(x^2 - 10)(x^2 + 10)$ which equals $(x^2 - 10)((x^2 - 10) + 20)$
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find the value of x. 43° 80° x° x = \\square
\(123\)
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incorrect your answer is incorrect. the value of x. x =
\(x = 30\)
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are the triangles below acute, obtuse, or right? triangle a triangle b …
Obtuse ### Triangle B
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emily built a rectangular flower garden in her backyard. she wants to b…
B. 6 ft
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slices are made parallel and perpendicular to the base of the rectangul…
A. Square C. Rectangle
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which point below is not part of the solution set? (0, 0) (-1, 5) (5, 2…
D. (-10, -10)
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find the tangent of $\\angle g$. simplify your answer and write it as a…
\(\frac{45}{28}\)
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find the cosine of $\\angle f$. simplify your answer and write it as a …
\(\frac{3}{5}\)
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date: ______ bell: ______ unit 7: polynomials & factoring homework 2: m…
1. $4a^2 + 3a$ 2. $-11c^2 - 4c$ 3. $2x^2 - 5x$ 4. $2y^7 - 8y^3$ 5. $-3m^3n^4 - 6m^2n^2$ 6. $27p^6q^4 - 45p^3q^5$ 7. $15r^6 - 3r^5 + 12r^4$ 8. $7c^4 - 14c^3 + 35c$ 9. $6n^5 - 33n^3…
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a telephone tower casts a 50 - foot shadow that makes a 48° angle with …
Option #2: $\cos 48^\circ = \frac{50}{x}$
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hj is 20, hi is 12, jg is 30, fi and hg are parallel, ij and fg are par…
\( 18 \)
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tu || sv. find uv.
\(46\)
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which graph represents the compound inequality? n < -2 or n ≥ 4
# Explanation: ## Step1: Analyze \( n < -2 \) For \( n < -2 \), the graph should have an open circle at \(-2\) (since \( n \) is not equal to \(-2\)) and an arrow pointing to the …
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kari and samantha have determined that their water - balloon launcher w…
\( |x - 45| = 3 \); minimum angle: 42 degrees (corresponding to the option: \( |x - 45| = 3 \); minimum angle: 42 degrees)
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find the midpoint of the segment with the following endpoints.\\((-10, …
$(-5, -7)$
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question find the midpoint of the segment with the following endpoints.…
$(7, 7)$
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13. it takes 8 cubic inches of water to fill a cube. if each edge of th…
64 cubic inches
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12. if you double each edge of a cube, how many times larger is the vol…
The volume is 8 times larger.
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11. if you double the width of a square, how much does the area of the …
The area becomes 4 times the original area, which is an increase of $3s^2$ (or a 300% increase relative to the original area).
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question find the midpoint of the segment with the following endpoints.…
$(7, 5)$
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for exercises 15 and 16, find the unknown side length of each triangle.…
15. $13$ 16. $\sqrt{269}$ 17. (See paragraph proof above) 18. (See two-column proof above) 19. (See paragraph proof above) 20. $GJ = 6\sqrt{2}$, $HJ = 6\sqrt{2}$ 21. $XY = 9\sqrt{…
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triangle midsegment theorem: - triangle midsegment theorem: if a segmen…
### Triangle Midsegment Theorem: Midpoints; parallel; half the length $GH \parallel DF$; $GH = \frac{1}{2}DF$ 3. $CA = 14$ 4. $QP = 4$ 5. $YZ=66$, $UV=25$, $WV=21$, $VZ=33$ Solve …
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question what is the image of the point (4, 5) after a rotation of 90° …
$(-5, 4)$
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question what is the image of the point ((-5, -9)) after a rotation of …
$(9, -5)$
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translations graph the image of the figure using the transformation giv…
### Problem 1: Translation 5 units right and 1 unit up #### Step 1: Identify coordinates of original points Let's assume the coordinates of \( G \), \( T \), \( B \) (from the fir…
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which number line represents the solution set for the inequality 3x < -…
The third number line (with open circle at -3 and arrow pointing left)
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question 2 (1 point) triangles are used for strength in roof trusses. i…
UV = 45 in RS = 114 in
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do now: find the angle measure of ∠cbd. (triangle with points a, b, d, …
\( 15^\circ \)
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37. x = y = 38. x = y = 39. x = y = 40. x = y = 41. x = y = 42. x = y =…
37. $x=17\sqrt{3}$, $y=34$ 38. $x=12$, $y=12\sqrt{2}$ 39. $x=6\sqrt{15}$, $y=12\sqrt{15}$ 40. $x=6\sqrt{3}$, $y=6$ 41. $x=6\sqrt{3}$, $y=12$ 42. $x=2\sqrt{2}$, $y=4$, $z=12$ 43. $…
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5. what is the diameter of a circle whose area is 314 square meters? a.…
b. 20 meters
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4. a circular track has a diameter of 10 meters. what is the area? use …
a. 78.54 meters
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2. according to cavalieris principle, what remains unchanged when a sta…
b. The volume of the stack
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1. a circular fountain has a diameter of 16 meters. what is its area? a…
b. \( 200.96\ m^{2} \)
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which segment is the hypotenuse? answer (overline{wn}) (overline{on}) (…
\(\boldsymbol{\overline{WN}}\)
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12) translation (5 up and 6 left)
The translation is 6 units to the left and 5 units up (or the translation vector is \((-6, 5)\)).
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according to cavalieri’s principle, if two solids have the same height …
area ### 2. Second Question
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according to cavalieri’s principle, what remains unchanged when a stack…
a. The volume of the stack ### Second Sub - Question (Calculation)
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37. 38. 39. 40. 41. 42. 43. x = y = z = 44. x = y = 45. x = y =
37. $x=\frac{17}{2}$, $y=\frac{17\sqrt{3}}{2}$ 38. $x=12$, $y=12\sqrt{2}$ 39. $x=9\sqrt{5}$, $y=9\sqrt{15}$ 40. $x=4\sqrt{3}$, $y=6\sqrt{3}$ 41. $x=12$, $y=3\sqrt{3}$ 42. $x=2$, $…
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Question was provided via image upload.
The transformation (assuming translation) is 4 units left and 2 units up (or specific details based on exact question). If the question was about identifying the transformation ty…
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which of the following is a correct application of cavalieri’s principl…
b. Verifying the volume of a tilted stack of circular disks ### Second Question: If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?
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what does the term \cross - sectional area\ refer to in the context of …
b. The area of a two - dimensional slice of a solid at a given height ### Second Question (Volume of a Cylinder)
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10) reflection on translation (y - axis) (
The translation after reflecting over the \( y \)-axis is \( \boldsymbol{4} \) units to the left (or vector \( (-4, 0) \)).
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use the clues to find the meaning of the underlined word. heavy snowfal…
1. The meaning of "treacherous" is dangerous, risky, or unsafe (especially because of being difficult to navigate or unpredictable). 2. The pronunciation to circle is (enve)
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31. triangle with right angle, 60° angle, 30° angle, side 9, side x (op…
31. $x=3\sqrt{3}$, $y=6\sqrt{3}$ 32. $x=6\sqrt{3}$, $y=9$ (wait no, correct: $x=6\sqrt{3}$, $y=6$ (6 is listed as option)) 33. $x=6$, $y=12$ 34. $x=\frac{15\sqrt{2}}{2}$, $y=\frac…
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rectangles (abcd) and (abcd) are shown on the coordinate plane. which s…
C. Dilate rectangle ABCD with a scale factor of $\frac{1}{2}$ about the origin, followed by a 180° rotation counterclockwise about the origin.
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on the coordinate plane shown below, figure 1 is transformed to figure …
D. The image of a polygon that has been dilated will have congruent angle measurements but different side lengths as its pre-image.
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find the missing lengths x and y. 25. triangle with 45° angle, right an…
25. $x=5$, $y=5\sqrt{2}$ 26. $x=\frac{5}{2}$, $y=\frac{5\sqrt{3}}{2}$ 27. $x=7\sqrt{2}$, $y=14$ 28. $x=9$, $y=9\sqrt{3}$ 29. $x=\frac{3\sqrt{3}}{4}$, $y=\frac{3}{2}$ 30. $x=\frac{…
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defg has been dilated to defg. use a pair of corresponding sides to det…
B. \(\frac{2}{3}\)
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match up the corresponding parts of the similar triangles (overline{ce}…
- \(\overline{CE}\) : \(\overline{DE}\) - \(\overline{AE}\) : \(\overline{BE}\) - \(\overline{CA}\) : \(\overline{DB}\) - \(\angle CEA\) : \(\angle DEB\) - \(\angle ECA\) : \(\ang…
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1 match up the corresponding parts of the similar triangles: drag & dro…
- \(\overline{AD}\) \(\longleftrightarrow\) \(\overline{AB}\) - \(\overline{AE}\) \(\longleftrightarrow\) \(\overline{AC}\) - \(\overline{DE}\) \(\longleftrightarrow\) \(\overline…
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find the value of the variables. show your work and leave answers in si…
19. $x=4$ 20. $n=30$, $x=2$, $y=4$ 21. $x=2+2\sqrt{3}$ 22. $x=4+4\sqrt{2}$ 23. $x=\sqrt{3}$ 24. $x=\frac{\sqrt{2}}{2}$
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find the requested length (dont forget appropriate units) 13. the lengt…
13. $6\sqrt{2}$ in 14. $9$ m 15. $24\sqrt{3}$ ft 16. $\frac{13\sqrt{3}}{2}$ cm 17. $36\sqrt{2}$ mm 18. $12+12\sqrt{3}$ in
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graph \\(\\frac{5}{6}\\) on the number line.
To graph $\frac{5}{6}$ on the number line, divide the segment between 0 and 1 into 6 equal parts. Then mark the point that is 5 parts away from 0 (towards 1).
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7. 10. 11. 12. equilateral triangle 8. 9.
7. $\boldsymbol{7\sqrt{10}}$ 8. $\boldsymbol{6}$ 9. $\boldsymbol{3\sqrt{6}}$, $\boldsymbol{3\sqrt{6}}$ 10. (All sides given: 14, $14\sqrt{3}$, 28) 11. $\boldsymbol{\frac{15}{2}}$,…
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day 4 1. color the shapes that have no vertices. 2. how many vertices? …
Color the circle (the third shape from the left). ### Question 2:
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fill in the blanks with the missing lengths 1. 2. 3. 4. 5. 6. options: …
1. Missing leg: 8, Hypotenuse: $8\sqrt{2}$ 2. Missing legs: 13, 13 3. Missing leg: $4\sqrt{10}$, Hypotenuse: $8\sqrt{5}$ 4. Missing hypotenuse: 11 5. Missing side: $12\sqrt{2}$ 6.…
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figure k and figure l are shown. a rotation of 180° clockwise about the…
A rotation of \( 180^\circ \) clockwise about the origin followed by a translation of \( 0 \) unit(s).
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figure k and figure l are shown on the coordinate plane. answer attempt…
A. \(180^\circ\) rotation followed by a translation (specific translation would depend on vertex shifts, but the first part is \(180^\circ\) rotation). (Note: If the options for t…
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1. a diagram of a right rectangular prism is shown below. what is the v…
The volume of the right rectangular prism is \( 8\frac{3}{4} \) cubic inches (or \( \frac{35}{4} \) cubic inches).
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01/28 - special right triangle mixed practice l three trees in a drawin…
13.22 ft
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three trees in a grouping of a landscape are positioned relative to eac…
The exact distance between A and B is $\frac{73\sqrt{2}}{10}$ ft. The approximate distance between A and B is $10.32$ ft.
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6) reflect across y=x. translate left 4 and up 2. rotate 90° ccw about …
The final coordinates after reflection, translation, and rotation are \( U'(2, 1) \), \( G'(3, -1) \), and \( W'(0, -1) \).
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identify the transformation shown. for a challenge, also find a sequenc…
Transformation: Reflection over the \( y \)-axis. Sequence (if needed): Reflection over \( y \)-axis. ### Problem 8:
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write an equation to represent this hanger diagram. the left side of th…
$3(y + 2) = 15$
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4) in a triangle, one angle is 85°, another angle is 35°, find the meas…
\(60^\circ\)
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12e pick the winner circle the word that best fits into the sentence. t…
1. Chosen word: candid Sentence with unused word: I am loath to clean the moldy bathroom. 2. Chosen word: melancholy Sentence with unused word: The nimble dancer leaped across the…