幾何
三角形、圓、解析幾何與證明題。
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find the length x to the nearest whole number. (round to the nearest wh…
$729$
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find the measure of side c. a = 35 m c = m (round the answer to the nea…
\(53\)
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solve for x. x = (round to the nearest hundredth.)
$28.33$
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determine how to translate triangle abc to triangle abc. (x+2, y-9) (x+…
We need to know the coordinates of the vertices of \(\triangle A'B'C'\) and \(\triangle ABC\) to precisely determine the translation. But in general, if we assume the correct tran…
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write the ratio for tan a. tan a = (type an integer or a simplified fra…
$\frac{8}{15}$
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you start driving west for 3 miles, turn right, and drive north for ano…
$11.4$ miles
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q. which rule correctly describes this translation?
\((x,y)\to(x - 4,y - 5)\)
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based on the given angles below, are the lines y and z parallel? why or…
Yes, the lines Y and Z are parallel because the corresponding angles are equal.
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find the value of x. (round to the nearest tenth as needed.)
$23.1$
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in △pqr, the obtuse - angle is 105°, and the shorter sides measure 4 an…
13.5
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view this video because we live in an environment with streets and wall…
C. cognitive
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based on the given angles below, are the lines a and b parallel? why or…
No, the lines $A$ and $B$ are not parallel because the given angles do not satisfy the angle - relationships (equality or supplementary) required for parallel lines.
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choose all of the following statements that prove that a and b are para…
$\angle3\cong\angle7$, $m\angle4 + m\angle6 = 180^{\circ}$, $\angle2\cong\angle6$
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choose all of the following statements that prove that e and f are para…
\(\angle4\cong\angle8\)
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choose all of the following statements that prove that a and b are para…
$\angle3\cong\angle6$
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if you place a 29 - foot ladder against the top of a building and the b…
23.6 feet
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choose all of the following statements that prove that e and f are para…
\(m\angle4 + m\angle6 = 180^{\circ}\), \(\angle3\cong\angle6\)
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you start driving east for 18 miles, turn right, and drive south for an…
$18.7$ miles
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find the coordinates of the missing endpoint. #7 midpoint of uv is m(4,…
#7: V(1,-3) #8: Y(2,13)
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the area of a rectangle is 380 square units. its length measures 20 uni…
$27.6$
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a certain television is advertised as a 59 - inch tv (the diagonal leng…
$32.9$ inches
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the altitude of the triangle abc, segment da, has been drawn. derive a …
$\sin(B)=\frac{h}{c}$, $h = c\sin(B)$, Area $=\frac{1}{2}ac\sin(B)$
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follow these steps to derive the trigonometric area formula. 1. for △ab…
substitute for
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a 35 foot ladder is set against the side of a house so that it reaches …
$24.5$ feet
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follow these steps to derive the trigonometric area formula. 1. for △ab…
$\frac{1}{2}bc\sin(A)$
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follow these steps to derive the trigonometric area formula. 1. for △ab…
$c\sin(A)$
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you start driving west for 3 miles, turn right, and drive north for ano…
3.6 miles
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follow these steps to derive the trigonometric area formula. 1. for △ab…
$\frac{h}{c}$
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night ulrich had banded together his foresters to watch the dark forest…
Ulrich von Gradwitz wishes to hunt down Georg Znaeym and meet him face to face in order to kill him.
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the length and width of rectangles are given. use the formula a = l × w…
6. 50 in.$^{2}$ 7. 6 m$^{2}$ 8. 500 mi$^{2}$ 9. 210 ft$^{2}$ 10. 100 m$^{2}$ 11. 100 in.$^{2}$ 12. 74 13. 96 14. 85 15. 86 16. 59 17. 39.2 18. 40 19. 50 20. 20 21. $w = 6$ gives a…
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the graph shows percentages of sales made by various divisions of a com…
| Division | Measure of Angle Formed by Segment for Division | |--|--| | A | 97.2 | | B | 82.8 | | C | 68.4 | | D | 64.8 | | F | 46.8 | The percentage for Division C is 19.
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q1 - accelerated mathematics gr 8 | guided notes: modeling and solving …
1. Hypotenuse 2. Diagonal 3. 90
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what is the length of the side opposite ∠d? units sin(d) =
The length of the side opposite $\angle D$ is $5$ units. $\sin(D)=\frac{5}{13}$
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determine the type of triangle that is drawn below.
Right - triangle
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the pythagorean theorem applies specifically to triangles. in the formu…
1. right - angled 2. hypotenuse 3. legs 4. legs 5. hypotenuse
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write a two - column proof for the following. given: m∠2 = 30, m∠1 = 2m…
90
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write a two - column proof for the following. given: m∠2 = 30 m∠1 = 2m∠…
| Statements | Reasons | |--|--| | 1) \(m\angle2 = 30\) | 1) Given | | 2) \(m\angle1 = 2m\angle2\) | 2) Given | | 3) \(m\angle1=2\times30\) | 3) Substitution | | 4) \(m\angle1 = 6…
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write a two - column proof. given: m∠gfi = 131°. prove: m∠efi = 36°. st…
$12$
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solve the problem. 8) a rectangle with width 2x + 1 inches has an area …
$x^{3}+4x^{2}-11x - 30$ inches ### 9.
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write a two - column proof. given: m∠gfi = 131°. prove: m∠efi = 36°. st…
7. \(11x = 132\) (after adding 1 to both sides of \(11x-1 = 131\)); \(x = 12\) (after dividing both sides of \(11x=132\) by 11) and we have proven \(m\angle EFI = 36^{\circ}\) as …
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the sign outside a companys headquarters has a width of 85 feet and an …
B. area = length $\cdot$ width
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a parallelogram has side lengths of 13 and 17 and an angle that measure…
16
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write a two - column proof. given: m∠gfi = 131°. prove: m∠efi = 36°. st…
$11x - 1$ (for the blank in the two - column proof) and $m\angle EFI = 36^{\circ}$
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in a right triangle, if one leg is 24 units and the hypotenuse is 25 un…
c. 7 units b. 111.8 yards
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on which triangle can the law of cosines be used to find the length of …
The second triangle (the one with side - lengths 7 and 12 and included angle \(57^{\circ}\))
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triangle jkl was dilated using the rule $d_{m,\frac{1}{3}}$. the image,…
5 units
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if the legs of a right triangle are both 1 unit long, what is the lengt…
1. A. \(\sqrt{2}\) 2. A. Determining the hypotenuse in right triangles
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on a softball field, home plate is 43 feet from the pitchers mound. a b…
This problem belongs to Mathematics - Geometry. To solve, we can use the Law of Cosines. Let \(a = 43\), \(b=162\), and \(\theta = 27^{\circ}\). The Law of Cosines formula for the…
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the pythagorean theorem can be used to: a. solve quadratic equations b.…
First Question: c. Determine the distance between two points on a coordinate plane Second Question: a. A triangle with angles $60^{\circ},60^{\circ}$, and $60^{\circ}$
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which graph could represent a constant balance in a bank account over t…
The second graph (the one with the horizontal line) could represent a constant balance in a bank account over time.
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in a right triangle, if a = 7 and c = 25, what is b? a. 20 b. 24 c. 18 …
1. b. 24 2. b. The hypotenuse
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graph the following function on the axes provided. f(x)=\begin{cases}-4…
Graph a horizontal line \(y = - 4\) with an open - circle at \((-5,-4)\) extending to the left and a line \(y = 4x-15\) with an open - circle at \((3,-3)\) and slope \(4\) extendi…
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a ferry transports passengers to three different ports. from port a, th…
7.7
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a pilot flies 720 miles from dallas, texas, to his first destination. a…
Using the Law of Cosines \(c^{2}=a^{2}+b^{2}-2ab\cos C\), where \(a = 720\), \(b = 290\), and \(C=125^{\circ}\). \(c=\sqrt{720^{2}+290^{2}-2\times720\times290\times\cos(125^{\circ…
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if a right triangle has a hypotenuse of 13 units and one leg of 5 units…
a. 12 units d. 13 feet
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write a two - column proof. given: m∠gfi = 131°. prove: m∠efi = 36°. st…
The reason for step 5 is "Substitution Property (using step 4 for the angle - measure expressions in step 3)" and the proof is complete as we have shown that $m\angle EFI = 36^{\c…
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write a two - column proof. given: m∠gfi = 131°. prove: m∠efi = 36°. st…
$131$
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△def is an isosceles triangle with base angles e and f. what is the ang…
(1) 14 (2) 83
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5. if m∠def = 159°, then m∠cef = ____ (9x + 4)° (5x + 15)° d e f
$65^{\circ}$
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a field is 34 yd long from end to end and 54 ft wide. if a person runs …
$2\sqrt{1018}\approx63.81$ yards
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substitute the given values into the given formula and solve for the un…
$9.5$
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go to studysync and read \moving forward\ blast and answer the guided q…
1. Celebrating Thanksgiving every year. 2. A set of shared values, beliefs, customs, behaviors, and artifacts of a group or society. 3. Western culture. 4. A sense of belonging, i…
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the movement of the progress bar may be uneven because questions can be…
100°
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8. quadrilateral abcd is shown on the coordinate plane. a. draw the ima…
For part a: The coordinates of $A'(-4,1)$, $B'(-2,1)$, $C'(-1,4)$, $D'(-3,4)$ are used to draw the translated quadrilateral. For part b: The coordinates of $A''(1,-1)$, $B''(1,-3)…
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match the geometric term on the left to its definition on the right. po…
Point - A zero - dimensional object that defines a specific location on a plane Plane - A two - dimensional surface that continues infinitely Ray - A half - line that begins at on…
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part c the artist will be tiling the sculpture with mosaic squares that…
Divide pyramid's surface - area by tile area.
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distance between the two lampposts is 20 feet. what is the measure of t…
41
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solve for x 11. solve for x 13. 14. 16. true or false the slopes of per…
13. \(x = 10\) 16. False 17. \(\frac{2}{3}\)
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0. this is the equation of a circle. x² + y² - 2x - 4y - 31 = 0 referen…
center: $(1,2)$ radius: $r = 6$ To graph the circle: 1. Plot the center point $(1,2)$ on the coordinate plane. 2. From the center, move 6 units in all directions (up, down, left, …
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6. this is the equation of a circle. $x^{2}+y^{2}-2x - 4y-31 = 0$ a. co…
$(x - 1)^{2}+(y - 2)^{2}=36$
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largest angle. complete her work and find the measure of angle y to the…
84
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2. use the following image to fill in the blanks name a ray on line n__…
Name a Ray on Line $n$: $\overrightarrow{CE}$ What is another name for line $l$: $\overleftrightarrow{BE}$ Name a Segment on line $n$: $\overline{CF}$ Name 2 of the three Angles: …
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8. write the standard form of the equation of the circle with the given…
1. Equation of first circle: $(x - 5)^2+(y + 3)^2=16$ 2. a. Standard form of second circle: $(x - 1)^2+(y - 2)^2=36$ b. Center: $(1,2)$; Radius: $r = 6$ c. Plot center $(1,2)$ and…
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complete all parts of the task to help her plan the materials she needs…
A. cone C. triangular pyramid D. hemisphere
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part b the hotel is filling the pool and releases 5,000 cubic feet of w…
5.0
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the summer hotel is installing a new pool. the pool will be rectangular…
9 gallons
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warm - up a board game has a house - shaped playing piece in the form o…
36
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1. m∠abc = 2. if m∠abd = 127°, then m∠abc = 3. if m∠xyz = 78°, then m∠w…
1. $104^{\circ}$ 2. $78^{\circ}$ 3. $57^{\circ}$ 4. $90^{\circ}$ 5. $62^{\circ}$ 6. $46^{\circ}$
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in the figure, m is parallel to n and m∠4 = 115°. find the measures of …
$m\angle6 = 115^{\circ}$ $m\angle2 = 115^{\circ}$ $m\angle8 = 115^{\circ}$ $m\angle5 = 65^{\circ}$ $m\angle3 = 115^{\circ}$ $m\angle7 = 65^{\circ}$ $m\angle1 = 65^{\circ}$
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click a segment to delete it. answer attempt 1 out of 2 slope of the li…
\(\frac{1}{2}\)
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open the compass to length cd with the compass point on c, draw an arc …
What is the third step of the construction? A. With the same compass setting, put the compass point on D. Draw an arc and label its point of intersection with the construction in …
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100° 9 10 u t 8 9² = 8² + 10² - 2(8)(10)cos(100°) 9 = 8 + 10 - 2(8)(10)…
\(s^{2}=9^{2}+10^{2}-2(9)(10)\cos(100^{\circ})\)
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parallel lines & transversals schoology assignment if m ||n and m∠e = 9…
$m\angle a = 94^{\circ}$ $m\angle c = 94^{\circ}$ $m\angle h = 94^{\circ}$
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compositions of transformations 1. translate (x,y)→(x + 6,y + 1) and re…
# Explanation: ## Paso1: Encontrar coordenadas después de la traslación Para el primer caso, la traslación es $(x,y)\to(x + 6,y+1)$. Supongamos que las coordenadas originales de u…
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construct ∠d so that ∠d ≅ ∠c. assume ∠c has already been constructed. w…
C. Draw a ray and label the endpoint D.
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the lighthouse forms a right angle with the path of the boat. a. write …
a. $d^{2}=h^{2}+x^{2}$ b. The contrapositive "If $d$ increases or remains the same, then $x$ increases or remains the same" is proven to be true, so the original statement "If $x$…
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6. determine the relationship between the two triangles and whether or …
6. The two triangles are related by (d) Side - Angle - Side (SAS), so the triangles (a) can be proven congruent. 8. The two triangles are related by (b) Angle - Angle - Side (AAS)…
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4. select all transformations that take figure f to figure f. a. reflec…
A. Reflect figure F across the x - axis. E. Translate figure F so that $(4,1)$ goes to $(4, - 1)$.
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2. determine the relationship between the two triangles and whether or …
2. The two triangles are related by (a) Hypotenuse - Leg (HL), so the triangles (a) can be proven congruent. 4. The two triangles are related by (a) Angle - Angle - Side (AAS), so…
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the lighthouse forms a right angle with the path of the boat. a. write …
a. $d^{2}=h^{2}+x^{2}$ b. The contrapositive "If $d$ increases or remains the same, then $x$ increases or remains the same" is true.
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use the figure below for questions 5 - 8. 5. name a point coplanar to p…
5. $M$ (or $N$, $J$, $L$) 6. $K$ 7. $M$, $N$, $K$ 8. $KJ$
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the lighthouse forms a right angle with the path of the boat. a. write …
a. \(d^{2}=h^{2}+x^{2}\) b. If \(d\) increases or remains the same, then \(x\) increases or remains the same. When \(d\) remains the same, \(x\) must remain the same.
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next, find the width w of the rectangle by using the distance formula. …
$4\sqrt{2}$
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question 9 (01.06 mc) james fenced in his backyard. the perimeter of hi…
96 in.
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10 solve the inequality: 19 - 6m < - 5(6m + 1) circle all of the values…
-5, -3, $-\frac{2}{3}$, $-\frac{3}{2}$, $-\frac{5}{2}$
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parallel lines & transversals schoology assignment if m || n and m∠e = …
$m\angle a = 94^{\circ}$ $m\angle c = 94^{\circ}$ $m\angle h = 86^{\circ}$
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give the equation of each line in the 5 graphs below. make sure to scro…
For the first line: $y=\frac{1}{3}x + 2$ For the second line: $y=-1$
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5. determine the relationship between the two triangles and whether or …
5. The two triangles are related by Angle - Angle - Angle (AAA), so the triangles CANNOT be proven congruent. 7. The two triangles are related by Side - Angle - Side (SAS), so the…
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first, find the length $ell$ of the rectangle by using the distance for…
$5\sqrt{2}$
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first, find the length ( ell ) of the rectangle by using the distance f…
The perimeter is about $25.5$ units. The area is $40$ square units.