幾何
三角形、円、座標幾何、証明問題。
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8 cm a 4 cm 3 cm figures not drawn to scale. what is the length of side…
6
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in the given right triangle, find the side labeled x. x = box (right tr…
143
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13. find x and m∠abd a (4x + 3)° d b 39° c x = ___ m∠abd = ___
\( x = 12 \) \( m\angle ABD = 51^\circ \)
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consider the original triangle and its enlargement. image: blue triangl…
2
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helene was given the following enlargement of a triangle. image of two …
A. \( A = 30 \, \text{cm}, B = 39 \, \text{cm} \)
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anika was shown a reduction of a complex figure. image of two l - shape…
The scale factor is 0.25, The length of side A is 8.75 cm, The length of side B is 6.25 cm.
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figures not drawn to scale. basils work scale factor (\frac{24}{6} = 4)…
Basil made a mistake finding the perimeter.
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12. a teacher wants to put a decorative border around his bulletin boar…
The length of the border needed is approximately \( 17.4 \) feet. ### Question 13
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a scale drawing for an apartment is shown below. in the drawing, 5 cm r…
72
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2. if m∠mkl = 83°, m∠jkl = 127°, and m∠jkm = (9x − 10)°, find the value…
\( x = 6 \)
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figures not drawn to scale. jordanas work scale factor \t $\frac{4}{12}…
Jordana made a mistake when she calculated the length of side B.
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consider the original trapezoid and the reduction. diagram: original tr…
2
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10. find x and y x = ____ y = ____
\(x = 8\), \(y = 140\)
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multiple choice how many total triangles are there in the diagram shown…
A. 11
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the table below gives the dimensions of a painting and a scale drawing …
$\frac{1}{7}$
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draw a venn diagram showing the relationship between the set of natural…
A. The Venn diagram with $\mathbb{N}$ as a subset of $\mathbb{W}$ (inner circle $\mathbb{N}$, outer circle $\mathbb{W}$)
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in a scale drawing of a painting, 1 centimeter represents 4 inches. ans…
The length of the painting in the scale drawing is \(10\) centimeters. ### Part (b)
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multiple choice how many total triangles are there in the diagram shown…
D. 10
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1. use the diagram below to complete each part. • ( overline{bf} perp o…
The vertex of $\angle 4$ is $B$. ### Part b)
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this is a scale model of a table. 1 centimeter represents 6 inches. ans…
24 inches ### Part (b)
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post test: foundations of geometry diagrams with labels c, d, t, m; sym…
To solve this problem, we analyze each geometric notation and match it to the corresponding diagram: ### 1. For \(\overrightarrow{CD}\) (Ray \(CD\)): A ray has a starting point an…
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10. given (overline{jl}) with (j(8, -8)) and (l(-16, -2)), find the coo…
The coordinates of \( K \) are \( (-8,-4) \)
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in a scale model of a table, 1 centimeter represents 6 inches. answer t…
24 inches ### Part (b)
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listen each of these vowel spellings has more than one sound. listen an…
### Part 1: Circle words with same vowel sound 1. **root, goose** (vowel sound /uː/) 2. **leap, seat** (vowel sound /iː/) 3. **each, bean** (vowel sound /iː/) 4. **great, break** …
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9. given \\(\\overline{xz}\\) with \\(x(-4, 3)\\) and \\(z(6, -2)\\), f…
The coordinates of \( Y \) are \( (-2,2) \)
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9. find m∠a and m∠b m∠a = ___ \t\t m∠b = ___
\( m\angle a = 48^\circ \), \( m\angle b = 24^\circ \)
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a scale drawing for a plot of land is shown below. in the drawing, 4 cm…
75
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x(-2, 5) → x(-4, 10) y(4, 3) → y(8, 6) z(-3, -5) → z(-6, -10) (b) choos…
\((x,y)\to(2x,2y)\) (the option with this rule)
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circle each noun in every sentence. (remember that a noun is a person, …
Circle: Beauty, eye, beholder ### 2.
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the area, a, of a rectangle is (120x^2 + 78x - 90), and the length, (l)…
\( 10x - 6 \) (corresponding to the option "10x - 6")
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8. given (overline{ab}) with (a(8, -4)) and (b(-6, -11)), if (p) partit…
The coordinates of \( P \) are \( (4,-6) \)
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the sound of long o /ō/ has five spelling patterns. listen and repeat t…
s: 1. low 2. home 3. roasted 4. doughnuts 5. go
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a dilation centered at the origin with a scale factor of 2 is applied t…
### Part (a) - \( X(-2, 5) \to X'(-4, 10) \) - \( Y(4, 3) \to Y'(8, 6) \) - \( Z(-3, -5) \to Z'(-6, -10) \) ### Part (b) The correct rule is \( (x, y) \to (2x, 2y) \) (the option …
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7. given (overline{df}) with (d(-1, 11)) and (f(-9, -5)), if (e) partit…
The coordinates of \( E \) are \((-6,1)\)
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10. the volume v of a cylinder is... centimeters. 8 centimeters. use th…
To find the area \( B \) of the base of the cylinder, we start with the formula \( V = Bh \). We need to solve for \( B \), so we divide both sides of the equation by \( h \) (ass…
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cameron, arthur, and jamie are playing soccer. their locations are reco…
50
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in the given right triangle, find the side labeled x. x = box × the tri…
\(40\)
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(hint: add angle numbers to the figure) find all unknown angle measures…
\( m\angle a = 68^\circ \), \( m\angle b = 112^\circ \), \( m\angle c = 68^\circ \)
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find the distance between the points (-5, -7) and (3, -7). distance: ☐
8
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use the figure to complete each part. (a) name the vertex of ∠1. (b) na…
$F$ ### Part (b)
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peter’s proof: by the linear pair theorem, ∠1 is supplementary to ∠2. s…
Peter used a direct proof (starts from known facts and deduces the conclusion). Vivian used a proof by contradiction (indirect proof, assumes the negation of the conclusion and sh…
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listen the sound of long /ī/ has four spelling patterns. listen and rep…
1. die 2. miles 3. ride 4. flight 5. types
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6. given \\(\\overline{wy}\\) with \\(w(3, 7)\\) and \\(y(13, -8)\\), i…
The coordinates of \( X \) are \( (9,-2) \)
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find the distance between the points (4, 7) and (4, -5). distance:
12
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use the figure and given information to answer questions 1-6. determine…
T ### Question 2:
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(f). 1. if ( mangle 3 = 30^circ ), then ( mangle 4 = 150^circ ) \tt \tf…
s: 1. T 2. T 3. T 4. T 5. F 6. T
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select the correct answer. mary walks a certain distance up a road that…
A. 10 degrees
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type the correct answer in the box. use numerals instead of words. if n…
\(1:1\) (so the boxes should be filled with \(1\) and \(1\) respectively)
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read the passage from \by the waters of babylon.\ but it was not dark. …
- "But it was not dark. Everywhere there were lights." - "I thought to myself 'This is a strong magic' and trembled." - "That was a sight indeed—yes, that was a sight: I could not…
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5. given \\(\\overline{ac}\\) with \\(a(3, 4)\\) and \\(c(-9, -2)\\), i…
The coordinates of \( B \) are \( (1,3) \)
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18. the volume v of a cylinder is 45π cubic centimeters. the height h o…
The area \( B \) of the base of the cylinder is \( 9\pi \) square centimeters.
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which pairs of figures are congruent? which pairs are similar? table wi…
- First Pair: Congruent? No; Similar? No - Second Pair: Congruent? No; Similar? Yes - Third Pair: Congruent? No; Similar? No - Fourth Pair: Congruent? No; Similar? No
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listen the sound of long e /ē/ has seven spelling patterns. listen and …
1. field 2. fifty 3. money 4. speed 5. received
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consider the rectangle depicted below. which of the following computes …
\( 4x + 12 \) (corresponding to the option "4x + 12")
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in the given right triangle, find the side labeled x. x = diagram of a …
\(5\sqrt{17}\) (or approximately 20.62)
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find the coordinates of the point that partitions \\(overline{ab}\\) in…
\((-2, 1)\)
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type the correct answer in the box. spell all words correctly. consider…
ground
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choose the term that has the given definition. term | definition select…
Line segment
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find the distance between the pair of points. (17,10) and (-19,5) the d…
\(36.345\)
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choose the term that has the given definition. term | definition select…
s (assuming dropdown options include these terms): 1. Segment 2. Collinear 3. Angle 4. Perpendicular
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classify each figure as a line, ray, or line segment. then, show how to…
Type: ray; How to write it: \( \overrightarrow{TU} \) ### Part (b)
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find the distance between the pair of points. (17,10) and (-19,5) the d…
\( 36.345 \)
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12. a, b, and c are collinear and b is the midpoint of ac. the length o…
Los valores posibles de \( x \) son \( x = 10 \) (con \( AC = 160 \)) y \( x = -5 \) (con \( AC = 70 \)).
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7 long vowels ★ listen the sound of long a /ā/ has six spelling pattern…
1. neighbors 2. trains 3. save 4. pay 5. baseball
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find the length of the segment \\(overline{ab}\\). number line image th…
11
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a walkway forms one diagonal of a square playground. the walkway is 12 …
8
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solve the right triangle. diagram: right triangle with right angle at c…
\(A = 49.9101^\circ\) \(a = 64.830\) cm \(c = 85.092\) cm
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1.5 partitioning a line segment 1. given directed line segment \\(\\ove…
The coordinates of \( P \) are \(\boldsymbol{(0, -1)}\).
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in the given right triangle, find the side labeled x. x =
\(\sqrt{3}\)
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2. the height of a baseball hit in the air is given by the graphed para…
5; \( y \)-intercept (circle \( y \)-intercept) ### Part b
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an inequality is shown. 4(x + 2) > 5x - 3 solve the inequality and grap…
The solution to the inequality \(4(x + 2)>5x - 3\) is \(x < 11\). The graph has an open circle at \(11\) and a line (or arrow) extending to the left from \(11\) on the number line.
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an inequality is shown. $-3x + 5 < 2 \\left( x - 10 \ ight)$ solve the …
The solution to the inequality is \(x\gt5\). For the graph, there is an open circle at \(x = 5\) and the line is shaded to the right of 5.
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solve the right triangle. image of right triangle with right angle at c…
\(A = 47.9103^\circ\) \(a = 56.100\) cm \(c = 75.800\) cm
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pronouns diagnostic test (20 pts.) score: ____/4 - recognizing antecede…
### Recognizing Antecedents 1. For "Some of the children are afraid of mice", the antecedent of "Some" is "children" (circle "children"). 2. For "Andrea usually brings her lunch t…
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listen each vowel has a short vowel sound. listen and repeat the words.…
To solve this, we identify words with short vowel sounds (a, e, i, o, u in short form): - Short /ɪ/: *fish, just, tin (from example), first, find, quiet, lie, nibble, figure, it’s…
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express x in terms of a, b, and c. x = diagram: a triangle with a small…
\(\frac{ac}{b}\)
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volume formulas for right cylinders consider that the formula for deter…
D. \( V = \pi r^2h \)
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the radius of the base of a right cylinder is 12 cm, and the height of …
C. \( 2592\pi \, \text{cm}^3 \)
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6. determine the side length of a square with an area of 900 cm².
The length of the side of the square is \( 30 \, \text{cm} \).
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in the figure below, b is between a and c, and c is between b and d. if…
\( 6 \)
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in the figure below, c is between a and d, and b is the midpoint of $ov…
\( 8 \)
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select the symbol = (equal to) or ≠ (not equal to) to make the expressi…
= (the option with the "=" symbol)
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for the following right triangle, find the side length x. round your an…
\(8.31\)
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listen each vowel has a short vowel sound. listen and repeat the words.…
To solve this, we first identify words with short vowel sounds from the paragraph: ### Step 1: Analyze short vowel /a/ Words with short /a/: *a* (in "a rod", "a line", "a weight",…
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find the circumference and the area of a circle with radius 5 yd. use t…
Circumference: \( 31.4 \) yd, Area: \( 78.5 \) square yards
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select the correct answer from each drop-down menu. on this map, oxford…
To solve this, we use the property of perpendicular lines (they form right angles, and in a grid of streets, vertical and horizontal streets are perpendicular). ### For Oxford Str…
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listen each vowel has a short vowel sound. listen and repeat the words.…
To solve this, we first identify words with short vowel sounds from the paragraph: ### For short vowel /a/: Words with short /a/ sound: *a* (in "a rod", "a line", "a weight", "a q…
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10. $overrightarrow{at}$ is the bisector of $angle car$. $mangle cat = …
\(x = 4\) or \(x=-2\); when \(x = 4\), \(m\angle CAR = 72\); when \(x=-2\), \(m\angle CAR = 12\)
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for the following right triangle, find the side length x.
41
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9. at an amusement park, 360 visitors rode the roller coaster in 3 hour…
840 ### Problem 10a
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example 4: the graph of the function ( y = f(x) ) in the ( xy )-plane a…
B. \( x =\) the total number of points scored in a basketball game; \( y =\) the time remaining, in seconds, in the game.
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find the area of each triangle. 1. 2. 10 in. 3. 10 yd 7 m 15 in. 16 yd …
The area of the triangle is \( 14 \, \text{m}^2 \). ### Problem 2: Find the area of the triangle with base \( 15 \, \text{in} \) and height \( 10 \, \text{in} \)
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for each set of three measures, determine if they can be angle measures…
| Angles | Can be angle measures of a triangle | Cannot be angle measures of a triangle | |----------------------|-------------------------------------|---------------------------…
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find the volume of the rectangular prism. write your answer in simplest…
The volume of the rectangular prism is \(\frac{3}{40}\) cubic centimeters.
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find the volume of the rectangular prism. write your answer in simplest…
\(\frac{3}{40}\)
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find the value of x. 54° 123° 88° x° x = \\boxed{}
\(95\)
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problem 3 points f, and g are plotted on the coordinate plane. plot the…
For \(F'\): \((2,2)\) For \(G'\): \((0, - 4)\)
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8. r is in the interior of ∠bin. a is in the interior of ∠rin. ∠bir ≅ ∠…
c. \( 47^\circ \)
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solve the right triangle. b 966 m a c 43° 37 a b b=□°□ (round to the ne…
\(B = 46^\circ23'\) \(a = 666\) m \(b = 699\) m
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in the figure below, m ∠ 3 = 78°. find m ∠ 1, m ∠ 2, and m ∠ 4.
\( m\angle1 = 78^\circ \) \( m\angle2 = 102^\circ \) \( m\angle4 = 102^\circ \)