几何
三角形、圆、解析几何与证明题。
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write the equation of the line that passes through the points (6, -4) a…
\(x = 6\)
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write the equation of the line that passes through the points (-1, 3) a…
\( y - 3=-\frac{1}{4}(x + 1) \)
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the length of a rectangle is 1 less than twice the width. the area of t…
\( 2w^{2}-w - 28 = 0 \) (the second option in the dropdown menu)
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what is the value of x? 12 units 15 units 20 units 25 units
12 units
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worksheet 4 date___________ period find the missing side. round to the …
1) \(\boxed{9.1}\) 2) \(\boxed{10.2}\) 3) \(\boxed{7.5}\) 4) \(\boxed{17.6}\) 5) \(\boxed{9.6}\) 6) \(\boxed{9.3}\) 7) \(\boxed{42.4}\) 8) \(\boxed{23.5}\) 9) \(\boxed{13.9}\) 10)…
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what is the value of y? 3√3 units 6√3 units 9√3 units 12√3 units (image…
\( 6\sqrt{3} \) units (the option: \( 6\sqrt{3} \) units)
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which value of y would make op || ln? 28 m y o p 14 l 18 n 16 24 32 36
36
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triangle abc was dilated using the rule $d_{y, \\frac{5}{4}}$. if $ca =…
10 units (the first option: 10 units)
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consider the two triangles. to prove that the triangles are similar by …
\(\frac{AC}{GI}=\frac{BC}{HI}\) (the fourth option, e.g., if the options are labeled as 1. \(\angle C\cong\angle C\); 2. \(\angle C\cong\angle G\); 3. \(\frac{AC}{GI}=\frac{HI}{BC…
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why is the information in the diagram enough to determine that △lmn ~ △…
because $\angle MNL$ and $\angle ONP$ are congruent angles (the second option)
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consider △rst and △ryx. if the triangles are similar, which must be tru…
$\boldsymbol{\frac{RY}{RS}=\frac{RX}{RT}=\frac{XY}{TS}}$ (the second option)
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(a) the rectangle and the circle below have the same area. what is the …
(a) Area of rectangle: \( 9\pi \, \text{m}^2 \), Area of circle: \( 9\pi \, \text{m}^2 \) (b) Volume of prism: \( 72\pi \, \text{m}^3 \) Wait, but let's check the problem again. T…
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if an image of a triangle is congruent to the pre - image, what is the …
C. 1 (assuming the options are labeled as A. 0.1, B. \(\frac{1}{2}\), C. 1, D. 10)
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given: y || z prove: m∠5 + m∠2 + m∠6 = 180° assemble the proof by dragg…
The proof is completed by showing \( \angle 1 \cong \angle 5 \), \( \angle 3 \cong \angle 6 \) (Alternate Interior Angles Theorem), using the Linear Pair Postulate for \( \angle 1…
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$\\overline{wy}$ is an altitude in triangle wxz. if $\\triangle ywz \\s…
\(\boldsymbol{\angle XWZ}\) is a right angle. (The option: \(\angle XWZ\) is a right angle.)
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(a) find the following side lengths for the net. a = 6 cm b = 5 cm c = …
72
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find qu. s t 45 70 r u 56 q qu = submit
36
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$\\overline{yz} \\parallel \\overline{vx}$. find $wy$. (image of a geom…
\(45\)
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what is the length of \\(\\overline{sr}\\)? \\(\\bigcirc\\) 9 units \\(…
15 units (Option: 15 units)
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dj || hk. find gh. gh = submit
\( 50 \)
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read the proof. given: \\(\\overline{ab} \\parallel \\overline{de}\\) p…
A. AA similarity theorem.
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$\\overline{pq} \\parallel \\overline{rt}$. find $ps$. (image of a tria…
\( 70 \)
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which transformations could have occurred to map △abc to △a\b\c? a rota…
a reflection and a dilation
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use the diagram of g||h, with transversal f, to answer the questions. a…
angle 2 and angle 5
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$\\overline{rs} \\parallel \\overline{qt}$. find $ps$. (image of a tria…
\( \boxed{35} \)
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vz || wy. find wx. v w x 15 14 y 35 z wx = submit work it ou
\( 6 \)
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use the diagram of g||h, with transversal f, to answer the questions. a…
congruent to
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$\\overline{tu} \\parallel \\overline{sv}$. find $uw$. (image of a tria…
70
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use the diagram of g || h, with transversal f, to answer the questions.…
angle 4 and angle 8
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look at the diagram. which term describes \\(\\overline{gi}\\)? perpend…
none of these
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qr, rs, and sq are midsegments of δwxy. what is the perimeter of δwxy? …
14.50 cm (corresponding to the option "14.50 cm")
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∠fjh is a right angle and \\(\\overline{ij} \\cong \\overline{fj}\\). w…
perpendicular bisector
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what is the length of \\(\\overline{ac}\\)? \\(\\bigcirc\\) 3 ft \\(\\b…
12 ft
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is triangle abc a dilation of triangle abc? explain. yes, it is an enla…
C. No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
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here is a square pyramid and its net. the lateral faces are congruent t…
\( 9 \) square centimeters (for part (a)) For part (b): ## Step1: Identify the lateral face shape Each lateral face is a triangle. The base of each triangle is the side of the squ…
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here is a triangular pyramid and its net. the lateral faces are congrue…
(a) The area of the base is $\boxed{35.1}$ square yards. (b) The area of one lateral face is $\boxed{27}$ square yards. (c) The lateral surface area is $\boxed{81}$ square yards. …
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in the diagram below, \\(\\overline{uv}\\) is parallel to \\(\\overline…
The length of \( \overline{TV} \) is 25.
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molly set up the equation incorrectly. she doesnt need to square the le…
Molly set up the equation correctly. The length and width of the TV are the two legs of the right triangle for which she is finding the diagonal.
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molly wants to find the length of the diagonal of her tv. the tv is 48 …
Molly set up the equation correctly. (Note: Wait, actually, let's re - evaluate. Wait, the TV is a rectangle, and the diagonal forms a right triangle with the width and height. Th…
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what is the distance between points b and d? options: $4\\sqrt{6}$ unit…
$6\sqrt{2}$ units
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what is the value of x? 119 101 61 140 (and a triangle with angles 79°,…
119
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a ladder is leaning against a wall. the base of the ladder is 4 feet aw…
A. \( 4\sqrt{10} \) feet
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you want to find the distance between $(-3, -12)$ and $(7, -16)$. which…
\( d = \sqrt{(-3 - 7)^2 + (-12 - (-16))^2} \) (the last option)
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heather is building a rectangular wooden frame to support a wall. the f…
Between 8 and 9 feet
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in $\\triangle big$, $bi = 30$, $ig = 50$, and $gb = 40$. which is the …
$\overline{IG}$
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what is the value of x? 137 53 100 80
82 (Wait, the options have 80, 100, 53, 137. Wait, let's recalculate. The sum of the two remote interior angles is equal to the exterior angle. So 37 + 45 = 82? But the options ha…
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which of the following equations could be used to find the value of z? …
The equation \( z + 168 = 180 \) (the second option from the left)
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why might it be easier to use the distance formula to find the distance…
C. Plotting these points on a graph might be tough to do since they are so far away from the origin.
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classify the angle pair \\(\\angle mnq\\) and \\(\\angle qno\\). option…
A linear pair
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find the missing side length of the given right triangle. if necessary,…
$\sqrt{85}$ units
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find the length of the missing leg of the right triangle with a hypoten…
\(2\sqrt{15}\) m (The option: \(2\sqrt{15}\) m)
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what is the distance between points p and r? 5√13 units, √14 units, 10√…
$5\sqrt{13}$ units
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you want to find the distance between (-10, -21) and (3, 32). which of …
\( d = \sqrt{(3 - (-10))^2 + (32 - (-21))^2} \) (the fourth option)
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classify ∠lnp as right, acute, obtuse, or straight. obtuse acute right …
Obtuse
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classify the angle pair ∠mnq and ∠qnp. options: nonadjacent and complem…
Adjacent and complementary
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the equation $p = 3s$ represents the perimeter $p$ of an equilateral tr…
21
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calculate the value of x and the value of y. options: x = 38 and y = 48…
\( x = 20 \) and \( y = 48 \) (The option: \( x = 20 \) and \( y = 48 \))
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for each box, choose a statement format from the dropdown menu. you wil…
The congruence is established by HL for right triangles, leading to \( \triangle WYX \cong \triangle JHI \) and \( \angle V \cong \angle J \) by CPCTC. (Note: Exact labels depend …
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part of a roof truss forms a right triangle with legs that are 5 feet a…
Between 9 and 10 feet
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helen needs to clean the windows on the outside of her house. she has a…
Yes, because the ladder will reach a height between 6 and 7 meters, which is greater than the windows' height of 6 meters. (Assuming the third option is this, as the first two hav…
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a straight waterslide at a theme park is 17 yards long, and it spans a …
15 yards
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what is the distance between the points (12, 42) and (19, 37)? ○ √72 un…
$\sqrt{74}$ units (corresponding to the option "√74 units")
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which triangle(s) would help us to use the pythagorean theorem and solv…
Triangles A and D
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find the missing side length in the triangle shown. express your answer…
\(z = 5\sqrt{2}\) (corresponding to the option with \(z = 5\sqrt{2}\))
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9. write pertinent congruent corresponding relationships to support you…
SSS (Side - Side - Side) Postulate
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a rectangle has an area of 35 square feet. its width is x+3 feet and th…
The equation is \((x + 3)(x + 5)=35\) (or \(x^{2}+8x - 20 = 0\) after simplification), \(x = 2\), width is 5 feet, length is 7 feet.
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10. complete the table to answer the question. select the pairs of tria…
The pairs of triangles that must be congruent are: A. The triangles in pair A (congruent by ASA) B. The triangles in pair B (congruent by SAS) C. The triangles in pair C (congruen…
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question determine the relationship between the two triangles and wheth…
The two triangles are related by \(\boldsymbol{\text{rotation}}\), so the triangles \(\boldsymbol{\text{can be proven to be congruent}}\).
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17.1.1 equation of a circle equation. graph the circle. a. ((x + 3)^2 +…
To graph \((x + 4)^2+(y - 8)^2 = 36\): 1. **Identify Center and Radius**: From the standard circle equation \((x - h)^2+(y - k)^2 = r^2\), here \(h=-4\), \(k = 8\) (center: \((-4,…
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equation. graph the circle. a. $(x + 3)^2 + (y - 2)^2 = 9$ general form…
For the circle \((x + 4)^2 + (y - 8)^2 = 36\), the center is \((-4, 8)\) and the radius is \(6\). To graph it, plot the center and use the radius to sketch the circle.
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graph the circle. the equation of a circle is ((x - h)^2 + (y - k)^2 = …
The radius \(r = 3\), and the correct graph is the red - circled circle (the middle - right graph with the red circle) corresponding to the circle with equation \((x + 3)^2+(y - 2…
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the shorter leg of a 30°-60°-90° triangle has a length of 8 feet. what …
16
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17.1 equation of a circle equation. graph the circle. a. $(x + 3)^2 + (…
D. \((-4, 8)\) (assuming the option with \((-4, 8)\) is labeled D; if the option is labeled as the last one in the list, it's the option with \((-4, 8)\))
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the shorter leg of a 30°-60°-90° triangle is 1 yard long. how long is i…
\(\sqrt{3}\)
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the longer leg of a 30°-60°-90° triangle is \\(\\sqrt{6}\\) yards long.…
\(2\sqrt{2}\)
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multiple-choice question if $r^2 = 9$, what is $r=$? 9 3 81 rewatch gra…
3
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in circle g with m∠fgh = 34° and fg = 13, find the area of sector fgh. …
\( 50.13 \)
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17.1 equation of a circle example #3 determine the diameter of the circ…
The diameter of the circle is 14. To find it, first identify the radius from the circle's equation \((x - 3)^2 + (y - 5)^2 = 49\) (since the standard form is \((x - h)^2 + (y - k)…
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example #3 determine the diameter of the circle with the equation \\((x…
The diameter of the circle is 14. To find it, first identify the radius from the circle's equation \((x - 3)^2 + (y - 5)^2 = 49\) (since \(r^2 = 49\), \(r = 7\)), then multiply th…
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17.1 equation of a circle example #3 determine the diameter of the circ…
14
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17.1 equation of a circle example = 2 write the standard equation of th…
B. \(x^2+(y - 12)^2 = 6.25\) (assuming the option with this equation is the second one in the list)
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graph the line. $y = \\frac{1}{3}x$
The line \( y = \frac{1}{3}x \) is graphed by plotting the points \((0,0)\) and \((3,1)\) (and additional points if needed) and drawing a straight line through them, with a slope …
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multiple-choice question try b.: what is the equation of the circle? $x…
\(x^2+(y - 12)^2 = 6.25\) (the second option in the multiple - choice list)
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write the standard equation of the circle with the given center and rad…
\((x - 5)^2 + (y + 8)^2 = 36\) (corresponding to the option: \((x - 5)^2 + (y + 8)^2 = 36\))
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volume and surface area of three - dimensional shapes a sphere has a ra…
1,760
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3. graph the system of equations: $y = -x - 2$ $12x - 4y = 8$
La gráfica correcta es la segunda opción (la de la parte inferior de la imagen), que muestra la línea \( y=-x - 2 \) (pendiente negativa) y la línea \( y = 3x-2 \) (pendiente posi…
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the radius of a circle is 2.4 miles. what is the circles area? round yo…
\( 18.10 \) square miles
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name the segments in the figure below. select all that apply. a. \\(\\v…
B. $\overline{IK}$, C. $\overline{KL}$, E. $\overline{IJ}$, I. $\overline{JL}$
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given ( m parallel n ), find the value of ( x ).
\( x = 5 \)
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which of the following cannot be the lengths of the three sides of a tr…
3 millimeters, 6 millimeters, 9 millimeters
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question 3 of 10 classify the following triangle as acute, obtuse, or r…
C. Right
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solve $p + 4 < 10$. the solution of the inequality is \\boxed{}. graph …
\( p < 6 \) For graphing the solution \( p < 6 \) on the number line: We use an open circle at 6 (because the inequality is strict, \( p\) is not equal to 6) and draw an arrow to …
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question name the figure below in two different ways. symbol: \\( \ igh…
\( \overleftrightarrow{XZ} \) and \( \overleftrightarrow{ZX} \)
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given: w ∥ x and y is a transversal. prove: ∠3 and ∠5 are supplementary…
corresponding angles theorem
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write the coordinates of the vertices after a dilation with a scale fac…
\( R'(-2, -2) \) \( S'(-2, 2) \) \( T'(1, 2) \) \( U'(1, -2) \)
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question 8 of 10 what is the equation of the following line? be sure to…
D. \( y = 7x \)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{5}{6}\)
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the graph shows a function. is the function linear or nonlinear? linear…
linear
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the diagram shows a triangle. what is the value of p? p = \\boxed{\\deg…
\(35\)
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quadrilateral abcd is the image of quadrilateral abcd under a rotation …
D. \( 150^{\circ} \)