幾何
三角形、圓、解析幾何與證明題。
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8) 155° 60° ?
95°
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in the rectangular prism shown below, which lines are intersecting? sel…
A. $\overline{HI}$ and $\overline{HL}$, B. $\overline{HI}$ and $\overline{HK}$, C. $\overline{KO}$ and $\overline{NO}$, D. $\overline{IJ}$ and $\overline{JN}$
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in the triangular prism shown below, which lines are parallel? options:…
B. KL and NO
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remember, even if you enter an answer rounded to a set number of decima…
\(\sin B = 0.8730\) \(\angle B_1 = 60.8^{\circ}\), \(\angle B_2 = 119.2^{\circ}\) \(\angle C_1 = 76.1^{\circ}\), \(c_1 = 269.3\) \(\angle C_2 = 17.7^{\circ}\), \(c_2 = 84.3\)
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remember, even if you enter an answer rounded to a set number of decima…
\(\sin B\approx0.89729\), \(\angle B_1 = 63.9^{\circ}\), \(\angle B_2=116.1^{\circ}\), \(\angle C_1 = 73.0^{\circ}\), \(c_1\approx259.5\), \(\angle C_2=20.8^{\circ}\), \(c_2\appro…
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the circumference of a circle is 36π cm. what is the radius of the circ…
A. 18 cm
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19 find the area of each triangle and choose the appropriate result. tr…
- First triangle (4m base, 5m height): Area = 10, so mark the column "10". - Second triangle (8ft base, 2ft height): Area = 8, so mark the column "8". - Third triangle (10m base, …
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a farmer fills a rectangular water trough to a depth of 1 foot. the tro…
B. \(8\ \text{ft}^3\)
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5. suppose that $\\overline{eh}$ is an altitude and $m\\angle ehf = (3x…
\(x = 40\) ### 6.
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remember, even if you enter an answer rounded to a set number of decima…
\(\sin B = 0.89303\) \(\angle B_1 = 63.3^{\circ}\), \(\angle B_2=116.7^{\circ}\) \(\angle C_1 = 73.6^{\circ}\), \(c_1 = 259.3\) \(\angle C_2 = 20.2^{\circ}\), \(c_2 = 93.3\)
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8 cm 16 cm 29 cm 22 cm find the area and perimeter of the composite fig…
Area: \( 518 \) square centimeters Perimeter: \( 118 \) centimeters
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question 28 points 2 find the surface area of a spherical ball with a r…
\(16\pi\ ft^{2}\)
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points a, b and c lie on a circle with center q. - the area of sector a…
14
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using the law of sines to solve the all possible triangles if $\\angle …
\(\angle B\) is \(28.7\) degrees, \(\angle C\) is \(45.3\) degrees, \(c = 22.2\)
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question 27 points 3 identify the slant height of a regular pentagonal …
C. \(12.5\mathrm{cm}\)
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directions - use the diagram to find the measure of the sector area: *u…
\( 42.74\space\text{cm}^2 \)
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question 26 points 2 the dimensions of a rectangular prism are 12 cm x …
\(5670\space cm^{3}\)
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in the cube shown below, which lines are intersecting? select all that …
$\overline{QR}$ and $\overline{RV}$
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a circle is shown. which expression represents the shaded area formed b…
B. \(\frac{45}{360}(3)^2\pi\)
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using the law of sines to solve the all possible triangles if \\(\\angl…
$\angle B$ is $33$ degrees. $\angle C$ is $29$ degrees. $c = 16$.
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find the surface area of the figure shown below. image of a rectangular…
6450 sq. in.
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learn with an example or watch a video in the cube shown below, which l…
GJ and HI, HL and IM
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14 a sector is part of a circle’s area that is defined by a central ang…
A. \( A = \frac{\theta}{360^\circ}\pi r^2 \)
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a sprinkler sprays water in a circle. the sprinkler sprays a distance o…
1256 square feet
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21. katrina buys a 64-ft roll of fencing to make a rectangular play are…
The function for the length is \(l(w)=32 - w\). The reasonable domain is \(0 < w<32\) because the width of a rectangle must be a positive number and less than half of the perimete…
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12 find the area of the shaded region. round to the nearest hundredths …
\( 36.53 \) square centimeters (or \( 36.53\space cm^{2} \))
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question 23 points 3 werry bought a circular shaped toy, the area of th…
The radius of the circular - shaped toy is \(16\space cm\) and the diameter is \(32\space cm\).
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using the law of sines to solve the all possible triangles if \\(\\angl…
\(\angle B\) is \(28.1\) degrees, \(\angle C\) is \(34.9\) degrees, \(c = 21.8\)
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6. give a counter example to the statement below. if two lines intersec…
Two lines intersecting at a 45-degree angle (or any non-90-degree angle, e.g., 30 degrees).
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what is the formula for the area of the rhombus? a = l × b a = \\frac{1…
\(A=\frac{1}{2}\times d_1\times d_2\)
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what is the area of the kite given? kite diagram with 8 m, 8 m, 28 m la…
\(224\space m^{2}\)
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given the triangle , find the length of side ( x ) using the law of sin…
\(9.6368\)
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a pilot is flying over a straight highway. he determines the angles of …
distance from \(A = 5.06\) mi height \(= 2.97\) mi
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a communications tower is located at the top of a steep hill, as shown.…
\(404.01\)
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points a and b are separated by a lake. to find the distance between th…
\(314.95\)
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points a and b are separated by a lake. to find the distance between th…
\(327.05\)
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using the law of sines to find a triangle with one obtuse angle if $\\a…
\(\angle B\) is \(125.4\) degrees, \(\angle C\) is \(6.6\) degrees, \(c = 4.76\)
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remember, even if you enter an answer rounded to a set number of decima…
\(\sin B = 0.92507\) \(\angle B_1 = 67.8^{\circ}\), \(\angle B_2=112.2^{\circ}\) \(\angle C_1 = 69.1^{\circ}\), \(c_1 = 248.5\) \(\angle C_2=24.7^{\circ}\), \(c_2 = 111.2\)
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using the law of sines to solve for all possible triangles if $\\angle …
\(\angle A=\text{DNE}\) \(\angle C=\text{DNE}\) \(c = \text{DNE}\)
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using the law of sines to solve the all possible triangles if $\\angle …
\(\angle B\) is \(28.8\) degrees, \(\angle C\) is \(32.2\) degrees, \(c = 17.64\)
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1. find the area. use 3.14 for pi and round your answer. 15.5 m
\( 188.68\ m^{2} \)
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using the law of sines to solve the all possible triangles if $\\angle …
\(\angle B\) is \(28.1\) degrees, \(\angle C\) is \(47.9\) degrees, \(c = 26.8\)
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calculating a scale factor quadrilateral qrst is dilated and translated…
\(\frac{1}{2}\)
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which of the following transformations carry this regular polygon onto …
rotation of 72° counterclockwise, reflection across l
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using the law of sines to solve the triangle if $\\angle a = 38^\\circ,…
\(\angle B = 67\) degrees; \(a\approx7.36\); \(c\approx11.54\)
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which of the following transformations carry this regular polygon onto …
rotation of 90° counterclockwise
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quadrilateral qrst is dilated and translated to form similar figure qrs…
\(\frac{1}{2}\)
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given the triangle , find the length of side x using the law of sines. …
\(4.3384\)
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which of the following transformations carry this regular polygon onto …
rotation of 120° clockwise, reflection across l, rotation of 120° counterclockwise
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solve for the value of m. (6m+6)° (4m-6)° answer attempt 1 out of 2 m =…
\(m = 9\)
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in the right triangle, find the measure of ∠c.
\(65^\circ\)
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given the triangle , find the length of side x using the law of sines. …
\(7.8972\)
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given △abc, use a dilation with the center at the origin to make a simi…
(6, -3)
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03- proportions in similar triangles when we see a picture like the one…
1) 6 2) \(\frac{7}{3}\) (or ~2.3)
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solve for the value of p. (p+2)° 67° answer attempt 1 out of 2 p = subm…
\(p = 21\)
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given the triangle , find the length of side ( x ) using the law of sin…
\(5.3335\)
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solve for the value of v. (3v-8)° (2v+8)° answer attempt 1 out of 2 v =…
\(v = 18\)
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solve for the value of r. 65° (4r - 1)° answer attempt 1 out of 2 r =
\(r = 29\)
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20. find the perimeter and area of the rectangle. 3.6 ft 2.8 ft
Perimeter: \( 12.8 \) ft, Area: \( 10.08 \) square feet
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solve for the value of r. (r+5)° (2r+4)° answer attempt 1 out of 2 r = …
\(r = 27\)
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19. find the area of this triangle. multiply the base and the height an…
The area of the triangle is \( 156 \) square feet.
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solve for the value of e. 49° (2e-7)° answer attempt 2 out of 2 e = sub…
\(e = 69\)
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given the triangle , find the length of side x using the law of sines. …
\(45.6548\)
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derek tried to dilate the isosceles trapezoid abdc with the center of d…
The polygons are not dilations of each other because the slopes of corresponding sides (e.g., \( AC \) and \( EG \)) are not equal (dilation preserves slope, so unequal slopes mea…
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deltamath.com solve for the value of e. (there is a diagram with an ang…
\(28\)
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solve for the value of e. 49° (2e - 7)° answer attempt 1 out of 2 e = s…
\(e = 28\)
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4. an angle of a parallelogram measures 10°. list the other angles.
Los otros ángulos son \(10^{\circ}\), \(170^{\circ}\) y \(170^{\circ}\).
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find the measure of the missing angle. answer attempt 1 out of 2 a =
\(36\)
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find the measure of the missing angles. answer attempt 1 out of 2 $g = …
\( g = 83^{\circ}\), \( h = 97^{\circ}\), \( k = 56^{\circ}\), \( m = 124^{\circ}\)
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which composition of similarity transformations would map polygon abdc …
a dilation with a scale factor greater than 1 and then a translation
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using the supplementary consecutive angles theorem manuela is making a …
\(64^{\circ}\)
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find the measure of the missing angles. answer attempt 2 out of 2 x = \…
\(x = 26^{\circ}\), \(y = 180^{\circ}\)
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2. reason the length of a rectangle is represented by 4 + 6x. the width…
The expression for the perimeter is \( 12 + 18x \)
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triangle xyz was dilated using the rule $d_{o,0.25}(x, y) \\to (0.25x, …
\((-8, -4)\)
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find the missing angle that is adjacent to 50°. ? 50° 130° 10z x 5y
\(130^\circ\)
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the rule for the dilation of quadrilateral qrst to the image qrst is ( …
\((0, 1)\)
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find the measure of the missing angle. answer attempt 1 out of 2 a = su…
\(61^{\circ}\)
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question 6 points 5 how many pairs of vertically opposite angles are fo…
4
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there is a coordinate - like cross - line diagram. at the intersection …
\(c = 91\)
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activity 4.4.1 - dilations 1. rectangle a is dilated to form rectangle …
The scale factor is 5, determined by dividing the length (or width) of rectangle B by the corresponding length (or width) of rectangle A.
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bayani dilates a digital photograph by a factor of 2.25 to create a new…
The perimeter of Bayani's new photograph is 2.25 times larger than the perimeter of his original photograph, and the area of his new photograph is 5.0625 larger than the area of h…
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answer point d is the incenter of △abc because \\(\\overline{de}\\), \\…
The correct term for the blank is "perpendiculars to the sides" (or "angle bisector perpendicular segments", or "distances from \( D \) to the sides (perpendicular)"). The origina…
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find the unknown angle if the four lines cut by the two transversals ar…
\(115^\circ\) (the option is \(115^\circ\), so the answer is the option with \(115^\circ\), e.g., if the options are as given, the correct one is the second option: \(115^\circ\))
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question 4 which of the following represent the alternate interior angl…
2 and 7 (the option with "2 and 7")
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calculator rhombus abcd has a diagonal \\(\\overline{bd}\\). \\(m\\angl…
120
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a parallelogram has side lengths of 13 and 17 and an angle that measure…
16
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law of cosines: $a^2 = b^2 + c^2 - 2bccos(a)$ which equation correctly …
\(p^{2}=6^{2}+8^{2}-2(6)(8)\cos(39^{\circ})\) (the second option)
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a drawbridge will sometimes open up to let boats and other water traffi…
A. 16.6 meters
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use the set of angles shown below to answer the question. lines 1 and 2…
$\boldsymbol{\angle a}$ and $\boldsymbol{\angle b}$ (or the option corresponding to $\angle a$ and $\angle b$ in the multiple - choice, e.g., if it's the first option, then "A. $\…
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what is the value of n to the nearest whole number? 10 13 18 21 law of …
13
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find the value of x. image of intersecting lines with angles 3x + 8 and…
16
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find the measure of ∠j, the smallest angle in a triangle with sides mea…
\(34^{\circ}\)
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your friend is looking at laptops for college, and is comparing the dif…
A. \( h = 7.0 \) inches
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question 1 find the unknown angles ∠a and ∠b, if the four lines cut by …
65° and 65° (the second option, e.g., "65° and 65°" or the option labeled with 65° and 65°)
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abby used the law of cosines for △kmn to solve for k. ( k^2 = 31^2 + 53…
\(m\angle K = 37^{\circ}\) and \(n = 31\)
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the law of cosines is used to find the measure of ∠z. to the nearest wh…
\(51^{\circ}\) (Option C)
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a boat traveled north for 28 miles, then turned ( x^circ ) southwest an…
39 degrees
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based on the given diagram, complete the sentence below. answer attempt…
centroid
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based on the given diagram, complete the sentence below. point d is △ab…
perpendicular bisectors (of the sides of \( \triangle ABC \))
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sentence. the coordinates of point c are (a + b, c). ad = bc = \\sqrt{b…
$a$ $\frac{c}{b}$ $0$