几何
三角形、圆、解析几何与证明题。
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9. determine the rotational and reflectional symmetry for the shapes be…
A. Rotational symmetry: None; Reflectional symmetry: 1 line of symmetry. B. Rotational symmetry: 7 - fold (rotations by $\frac{360^{\circ}}{7}, \frac{2\times360^{\circ}}{7},\cdots…
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8. determine if the following statement is sometimes, always or never t…
Sometimes
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the equation $a(w)=w^{2}+5w$ represents the relationship between the ar…
$A(w)$ increases as $w$ increases when $w > 0$.
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which number sentence shows how the distributive property can be used t…
$(9\times6)+(9\times11)$
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(01.06 mc) bob fenced in his backyard. the perimeter of the yard is 22 …
72 in.
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6. rotate 180° around (-1,0) and reflect across the x - axis.
The new - position of the shape after the given transformations. (Note: Without the coordinates of the original points of the shape, we can't give exact new - coordinates. But the…
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6. rotate 180° around (-1,0) and reflect across the x - axis.
The new figure is obtained by first rotating each vertex of the original figure 180 degrees around the point $(-1,0)$ using the rule $(x,y)\to(-2 - x,-y)$ and then reflecting the …
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the equation $a(b)=4b$ represents the relationship between the area and…
When the base of the right - triangle measures 5 inches, its area is 20 square inches.
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find the coordinates of the missing endpoint if b is the midpoint of ac…
33. $(1,6)$ 34. $(-7,-5)$ 35. $(16,-4)$ 36. $(0,-8)$ 37. $(-12,13.25)$ 38. $(\frac{11}{3},14)$
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what is the y - intercept of each graph? the y - intercept of graph 1 i…
5
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what is the y - intercept of each graph? the y - intercept of graph 1 i…
0
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at the left you can see 4 clusters of circles with the number of circle…
$s(x)=2x + 5$
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at the left you can see 4 clusters of circles with the number of circle…
\(s(x)=2x + 5\)
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question 2 (01.06 lc) marcie wants to enclose her yard with a fence. he…
\[b=\frac{A - lw}{0.5h}\]
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directions: find the value of x so that l || m. 6. 53° (8x - 9)° conver…
\(x = 7.75\)
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example 5: the second hand of a clock is 10.2 cm long. find the linear …
$1.0676$ cm/s
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conversion facts for length 1 foot (ft) = 12 inches (in) 1 yard (yd) = …
3360 ## Step5: Calculate the number of cans To find the number of cans, divide the total area that needs primer by the area covered by one can. So, $\frac{3360}{340}\approx9.88$. …
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16. find ∠4 if △xyz is not regular but ∠1 = 40° and m∠2 = 35°.
\(105^{\circ}\)
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16. find ∠4 if △xyz is not regular but ∠1 = 40° and m∠2 = 35°.
1. **Explanation**: - **Step1: Recall the angle - sum property of a triangle** - The sum of the interior angles of a triangle is \(180^{\circ}\). In \(\triangle XYZ\), if we assum…
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16. find the measure of each interior angle of a regular decagon.
$144^{\circ}$
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14. find ∠1 if △xyz is regular. 15. find ∠4 if △xyz is regular. 16. fin…
14. $\angle1 = 60^{\circ}$ 15. $m\angle1 + m\angle2 + m\angle3 = 180^{\circ}$ 16. Non - regular: $\angle4=75^{\circ}$; Regular: $\angle4 = 120^{\circ}$ 17. Exterior angle of regul…
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find the circumference of each circle. 23) area = 64π mi². 16π mi. find…
23. \(16\pi\) inches 24. \(8\pi\) feet 25. \(9\pi\) square - yards 26. \(121\pi\) square - meters
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14. find ∠1 if △xyz is regular. 15. find ∠4 if △xyz is regular. 16. fin…
14. If $\triangle XYZ$ is regular, each interior angle is $60^{\circ}$, so if $\angle1$ is an interior angle of a regular $\triangle XYZ$, $m\angle1 = 60^{\circ}$. 15. If $\triang…
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1. true or false: skew lines do not intersect and are not parallel. 2. …
1. True 2. True 3. True 4. False 5. nonagon 6. heptagon
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a warehouse, whose dimensions are shown below, needs primer (a coating …
750
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a warehouse, whose dimensions are shown below, needs primer (a coating …
720
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john built a compost bin in the shape of a rectangular prism. the bin i…
(a) $82944$ in³ (b) $119$ bags (c) $\$736.61$
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5. given the following information, determine which lines, if any, are …
| Given | Parallel Lines | Converse | |--|--|--| | a. $\angle10\cong\angle15$ | $l$ and $m$ | If two lines are cut by a transversal and alternate interior angles are congruent, th…
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find the circumference of each circle. 23) area = 64π mi² 16π mi 24) ar…
$r = 2$
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determine if l || m based on the information given on the diagram. if y…
1. Yes, by the converse of the same - side interior angles postulate. 2. Yes, by the converse of the same - side interior angles postulate. 3. Yes, by the converse of the correspo…
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find the measure of the angle indicated. 6) find m∠f.
$70^{\circ}$
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anthony is decorating the outside of a box in the shape of a right rect…
318
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the figure below is a net for a right rectangular prism. what is the su…
954
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solve for x. 5)
$x = 8$
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find the diameter of each circle. use your calculators value of π. roun…
21) 16.0 in 22) 10.0 ft
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the rectangle below is dilated by a scale factor of 4. find the perimet…
Perimeter of given rectangle: 36 units Area of given rectangle: 80 units² Perimeter of dilated rectangle: 144 units Area of dilated rectangle: 1280 units²
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the rectangle below is dilated by a scale factor of 5. find the perimet…
Perimeter of given rectangle: 34 units Area of given rectangle: 70 units² Perimeter of dilated rectangle: 170 units Area of dilated rectangle: 1750 units²
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the rectangle below is dilated by a scale factor of 4. find the perimet…
Perimeter of given rectangle: 38 units Area of given rectangle: 88 units² Perimeter of dilated rectangle: 152 units Area of dilated rectangle: 1408 units²
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find the radius of each circle. use your calculators value of π. round …
17) $10.0$ mi 18) $11.0$ yd 19) $2.0$ yd 20) $4.0$ ft
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el punto medio de $overline{pq}$ es $m = (-2, -4)$. uno de los puntos e…
\((0,-6)\)
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el punto medio de $overline{ab}$ es $m = (-1,2)$. uno de los puntos ext…
$(2,8)$
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el punto medio de $overline{st}$ es $m = (-1, -2)$. uno de los puntos e…
$(-5,-6)$
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4. mario, raquel, and jocelyn are arguing about where the height is for…
Mario and Jocelyn are correct. Mario's line is a height as it is perpendicular to the base. Jocelyn's line is also a height as it is the perpendicular distance from the vertex to …
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find the circumference of each circle. use your calculators value of π.…
For circle 9, the circumference is approximately $50.3$ mi. For circle 10, the circumference is approximately $52.2$ yd.
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which of these triangle pairs can be mapped to each other using a singl…
The triangle pair that has the same orientation and is congruent can be mapped to each other using a single translation. Without seeing all the options, if $\triangle CPN$ and $\t…
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use the information given to find the measure of each unknown vertical …
13. \(145^{\circ}\) 14. \(50^{\circ}\) 15. \(85^{\circ}\) 16. \(130^{\circ}\) 17. \(95^{\circ}\) 18. \(35^{\circ}\) 19. \(120^{\circ}\) 20. \(60^{\circ}\) 21. \(47^{\circ}\) 22. \…
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example 3: find the central angle (in radians and degrees) that is form…
In radians: $\frac{31}{12}\approx2.583$ radians; In degrees: $\frac{465}{\pi}\approx147.9^{\circ}$
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vocabulary 1 graded formative part 1: for each word, write a definition…
1. Temperate (adj): Mild in temperature or behavior; Key - word: mild 2. Malice (n): Ill - will or intent to harm; Key - word: ill - will 3. Affliction (n): Cause of pain or distr…
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13) radius = 5.2 ft 32.7 ft 14) radius = 11 ft 69.1 ft 15) radius = 9.5…
$r = 2$
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a circle has a radius of 4 inches. find the length of the arc intercept…
$\frac{16\pi}{3}$ inches
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13.5 vertical angles (dok 1,2) when two lines intersect, two - pairs of…
1. $\angle RPS$ 2. $\angle VPT$ 3. $\angle QPV$ 4. $\angle QPR$ 5. $\angle YPS$ 6. $\angle QPT$ 7. $\angle KLG$ 8. $\angle GLM$ 9. $\angle KLH$ 10. $\angle KLH$ 11. $\angle GLH$ 1…
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7. -/1 points graph the set. {x | -7 < x < 0} ∪ {x | x > 9} use the too…
On the number line, place open circles at $x=-7$, $x = 0$ and $x=9$. Shade the region between $x=-7$ and $x = 0$ and also shade the region to the right of $x=9$.
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120° 4 in. s
$\frac{8\pi}{3}\text{ inches}\approx8.38\text{ inches}$
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kim is watching a satellite launch from an observation spot 6 miles awa…
$43.53^{\circ}$
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13.6 complementary and supplementary angles (dok 1, 2) two angles are c…
1. \(m\angle a = 40^{\circ}\) 2. \(m\angle b = 40^{\circ}\) 3. \(m\angle c = 140^{\circ}\) 4. \(m\angle d = 61^{\circ}\) 5. \(m\angle e = 21^{\circ}\) 6. \(m\angle f = 21^{\circ}\…
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look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarr…
$65$
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in the triangular prism shown below, which lines are intersecting? $ove…
$\overrightarrow{RS}$ and $\overrightarrow{RT}$
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in the triangular prism shown below, which lines are skew? select all t…
$\overrightarrow{JL}$ and $\overrightarrow{KN}$, $\overrightarrow{JM}$ and $\overrightarrow{KL}$, $\overrightarrow{JL}$ and $\overrightarrow{MN}$, $\overrightarrow{KN}$ and $\over…
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in the square pyramid shown below, which lines are parallel? select all…
\(\overrightarrow{LM}\) and \(\overrightarrow{NO}\)
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in the cube shown below, which planes are parallel? select all that app…
KLM and GHI, GJK and HIL
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in the triangular prism shown below, which lines are parallel? select a…
$\overrightarrow{PQ}$ and $\overrightarrow{MN}$
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position the two points to graph the line x = 1. then enter its charact…
slope: undefined $x$-intercept: $(1,0)$ $y$-intercept: undefined
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position the two points to graph the line x = 1. then enter its charact…
slope: undefined intercepts: \((1,0)\), undefined
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use the points shown on the graph to the right to determine the slope o…
A. The slope of the line is 2
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use the points shown on the graph to the right to determine the slope o…
A. The slope of the line is \(\frac{1}{2}\)
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what is the length of the radius of a circle with a center at 2 + 3i an…
B. $\sqrt{26}$
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a circle has a diameter with endpoints at -3 + 18i and 7 - 6i. which po…
B. \(5 + 12i\)
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a circle has a diameter with endpoints at 3 - 5i and -8 + 2i. what is t…
B. $-\frac{5}{2}-\frac{3}{2}i$
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a circle has a diameter with endpoints at 15 + 25i and -25 - 17i. which…
A. -15 + 21i
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what is the length of the radius of a circle with a center at 2 - i and…
D. 10
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what is the length of the radius of a circle with a center at the origi…
D. 17
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solve the inequality and graph the solution. 4 ≥ \\frac{t}{-1} to draw …
The solution of the inequality is $t\geq - 4$. On the number - line, plot a closed circle at $-4$ and draw a ray extending to the right.
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find the arc - length of the sector of a circle with the given radius (…
$134.59$ m
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solve the inequality and graph the solution. -1 ≥ \\frac{r}{4} to draw …
The solution of the inequality is $r\leq - 4$. On the number - line, plot a closed circle at - 4 (because the inequality is $\leq$) and draw an arrow to the left.
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solve the inequality and graph the solution. 15q < 90 to draw a ray, pl…
The solution of the inequality is $q < 6$. To graph it, plot an open - circle at 6 (because 6 is not included in the solution set) and draw a ray to the left.
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find the arc - length of a circle with the given radius r and central a…
360 ft
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given a circle of radius 14 km, find the length of the arc subtended by…
$76.97$ km
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solve the inequality and graph the solution. y - 47 ≤ -43 to draw a ray…
The solution of the inequality is $y\leq4$. On the number line, plot a closed circle at 4 and draw a ray extending to the left.
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the minute hand of a clock extends out to the edge of the clocks face, …
$33.51$ square inches
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if three segments can form a triangle, then the length of the largest s…
If the length of the largest of three segments isn't greater than the sum of the lengths of the two smaller segments, then the segments can't form a triangle.
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question 12 - 1 point identify the quadrant in which the point (2, 2) i…
Quadrant I
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find the area of the sector of a circle of radius 8 ft with a central a…
$83.78$ ft²
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find the area of the sector of a circle of radius 18 m with a central a…
$872.46$ m²
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use the information in the diagram to determine the radian measure of t…
\(-\frac{\pi}{2}\)
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find the length to three significant digits of the arc intercepted by a…
$2.96$
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∠skf is complementary to ∠fkp ∠fkp is complementary to ∠pkh prove: ∠skf…
2,5,1,4,3
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the two - column proof shown includes statements and reasons that are n…
3, 6, 4, 2, 1, 5
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complete the proof to make the following flow - chart proof true. given…
FILL IN 1: $\angle SKW$ FILL IN 2: $\angle SKW$ FILL IN 3: $\angle SKW$ FILL IN 4: $\angle PKS$
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prove ∠pkw≅∠skr. complete the proof to make the following flow - chart …
The proof is completed by using the Vertical Angles Theorem which states that vertical angles are congruent. Since $\angle PKW$ and $\angle SKR$ are vertical angles, $\angle PKW\c…
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an incomplete two - column proof shown includes some statements and rea…
| Step # | Statement | Reason | | ---- | ---- | ---- | | 2. | $m\angle FEH = m\angle GEI$ | Definition of Congruence | | 3. | $m\angle GEI=m\angle HEI + m\angle GEH$ | Angle Addit…
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11. find the value of x. (6x + 7)° (8x - 17)° 12. find the value of x. …
\(x = 12\) ### 12.
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point a is graphed at (-3, 4). using the pencil, plot the image of poin…
The new coordinates of point A are $(3,-4)$.
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9. write a conditional statement that is biconditional. 10. write a con…
9. A number is even if and only if it is divisible by 2. 10. If a shape is a rectangle, then it has four sides.
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consider δwxy and δbcd with ∠x = ∠c, wx = bc, and wy = bd. can it be co…
no, because the corresponding congruent angles listed are not the included angles
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find the arc - length of a circle with the given radius $r$ and central…
$242.81$ m
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find the perimeter when 118 triangles are put together in the pattern s…
120
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find the area of a sector of a circle having radius r and central angle…
$57.2$
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find the equation of the line shown below. your answer should take the …
$y = - 3$
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use the information contained in the figure to determine the values of …
\(\sin\theta=\frac{56}{65}\), \(\cos\theta=\frac{33}{65}\), \(\tan\theta=\frac{56}{33}\), \(\csc\theta=\frac{65}{56}\), \(\sec\theta=\frac{65}{33}\), \(\cot\theta=\frac{33}{56}\)
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use the information contained in the figure to determine the values of …
$\sin\theta=\frac{\sqrt{2}}{2}$, $\cos\theta=\frac{\sqrt{2}}{2}$, $\tan\theta = 1$, $\csc\theta=\sqrt{2}$, $\sec\theta=\sqrt{2}$, $\cot\theta = 1$