几何
三角形、圆、解析几何与证明题。
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12. a gem is cut in the shape of two square pyramids that are joined at…
A) \( 520 \, \text{cm}^2 \)
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question 1-9 in △pqr, pq = qr. if m∠p = (2x - 26)°, and m∠r = (x + 17)°…
The correct checkboxes are: - acute - isosceles - equilateral (In the image, these correspond to the checkboxes labeled "acute", "isosceles", and "equilateral".)
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□ jk = √65 □ kl = √65 □ jl = √65 □ m∠jkl = 57° □ m∠ljk = 57°
The correct option is the first one: \(JK = \sqrt{65}\) (assuming the coordinates lead to \(JK\) distance \(\sqrt{65}\) via distance formula, and the angle analysis supports, but …
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which triangle congruence theorem/postulate can be used to prove △jkn ≅…
Hypotenuse - Leg (the option corresponding to Hypotenuse - Leg)
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question 1-6 which additional statements are needed to prove $\\triangl…
The correct additional statements are \(\boldsymbol{\angle C\cong\angle M}\) and \(\boldsymbol{\overline{AB}\cong\overline{LM}}\) (corresponding to the second and fifth options in…
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similar triangles and proportions congruent the symbol ~ means \is simi…
1. \( s = 15 \), \( t = 18 \) 2. \( f = 12 \), \( g = 15 \) 3. \( j = 4 \), \( k = 12 \) 4. \( m = 25 \), \( n = 25 \) 5. \( x = 90 \), \( y = 60 \) 6. \( p = 45 \), \( q = 15 \)
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find the length x. 7.5 4.5 5 x
\(x = 12.5\times4.5\div7.5 = 7.5\)? Wait, no, wait, let's do it again. The two similar triangles: the upper one with height \(h_1 = 7.5\) and base \(b_1 = 4.5\), the lower one (th…
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determine if $\\triangle abc \\cong \\triangle def$. if they are congru…
$\triangle ABC \cong \triangle DEF$ using Side - Angle - Side triangle congruence postulate (the option: $\triangle ABC \cong \triangle DEF$ using Side - Angle - Side triangle con…
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question 22 22)m =
\(4\)
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a. the two flags are folded into triangles. the triangles are similar. …
\(FH = 28\) in, \(GH = 21\) in
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question 1-4 determine whether the conditional and its converse are bot…
The correct option is "Both statements are true. Two co - planar lines are parallel if and only if they do not intersect." (the fourth option in the list of choices)
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question 1-3 all angles formed by parallel lines crossed by a transvers…
D. A pair of same - side interior angles formed by parallel lines and a transversal
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question 1-2 a true statement is given. \if two sides and the included …
A. If two triangles are not congruent, then two sides and the included angle of one triangle are not congruent to two sides and the included angle of the other triangle (assuming …
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1. the number of passengers, s, who ride in an airplane is less than 20…
A. \( s < 200 \) ### Question 2
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question 1-1 a true statement is given \if three sides of one triangle …
If one triangle is congruent to a second triangle, then three sides of the one triangle are congruent to three sides of the second triangle (the fourth option in the list of choic…
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8. find the volume of each cylinder in terms of π. which cylinder has t…
Cylinder A has a greater volume. The volume of Cylinder A is \( 60\pi \, \text{ft}^3 \) and the volume of Cylinder B is \( 54\pi \, \text{ft}^3 \).
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natalie launches a toy rocket from a platform. the graph below shows th…
The \(x\)-coordinate (or \(t\)-coordinate) of the vertex is \(\boldsymbol{2}\) and represents the time (in seconds) when the rocket reaches its maximum height. The \(y\)-coordinat…
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if these two figures are similar, what is the measure of the missing an…
\(90^\circ\)
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if these two figures are similar, what is the measure of the missing an…
\(68\)
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if these two shapes are similar, what is the measure of the missing len…
2
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if these two figures are similar, what is the measure of the missing an…
\(110^\circ\)
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if these two shapes are similar, what is the measure of the missing len…
6
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if these two shapes are similar, what is the measure of the missing len…
3
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there is a large circle painted in the middle of the park. the circle i…
a) \( 50.24 \) metros cuadrados b) \( 12.56 \) metros cuadrados c) Rosa
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a) find the amount of fencing, to the nearest foot, required to fence t…
41 ft ### b)
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if these two shapes are similar, what is the measure of the missing len…
\( c = 4 \) meters
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part iii the students have planted a semicircle flower garden that requ…
a) \(39\) ft. b) \(\$858\)
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pentagon nopqr is rotated 270° counterclockwise about the origin to pro…
\((x, y)\to(y, -x)\)
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part iii: the students have planted a semicircle flower garden that req…
39 ft
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if these two shapes are similar, what is the measure of the missing len…
4
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unit: functions progress: the movement of the progress bar may be uneve…
The third graph (the graph in the middle - bottom, third from the top)
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what is the equivalent degree measure of $-\\frac{11\\pi}{12}$ radians …
\(-165^\circ\) (corresponding to the option: \(-165^\circ\))
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unit: trigonometry progress: the movement of the progress bar may be un…
7.43 (corresponding to the option 7.43, which is the third option in the list: 7.43)
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a 25-foot-long footbridge has two diagonal supports that meet in the ce…
29.6
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unit: trigonometry progress: the movement of the progress bar may be un…
The option with \(\cos C=\frac{4}{9},\csc C=\frac{9}{\sqrt{65}}\) (the third option in the list of options provided)
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unit: trigonometry progress: the movement of the progress bar may be un…
The option (the fourth one from the left) with \(\boldsymbol{\sin X=\frac{3}{\sqrt{34}},\tan Y=\frac{5}{3}}\) (i.e., the last option among the four, written as \(\sin X=\frac{3}{\…
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unit: solving equations and inequalities progress: the movement of the …
44
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7. (45) find the volume of this right solid. dimensions are in meters. …
(for problem 7): The volume of the right solid is \( \boxed{330} \) cubic meters.
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¿qué gráfico coincide con la tabla de valores? incógnita | y -10 | 14 -…
El primer gráfico (el de la parte superior con la línea roja que baja de izquierda a derecha y pasa cerca de \( (0, -1) \))
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complete la tabla a continuación con los puntos correctos del gráfico. …
Para \( x = -6 \), \( y = 0 \); para \( x = 0 \), \( y = -1 \); para \( x = 6 \), \( y = -2 \). (La tabla se completa con estos valores según el gráfico.)
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find the distance between point a and point b. distance:
5
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in this picture, b and d are midpoints. a b 5x - 4 23 c d e x = ?
6
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ad = db and ae = ec. ef = 5 and m∠aed = 32°. m∠ecf = ?°
32
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in this picture, b, d, and f are midpoints. ac = 50, ce = 60, and bd = …
70
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in this picture, b and f are midpoints. a b f 2x c 88 e x = ?
22
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real numbers computing the distance between two integers on a number li…
6
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find the distance between i and j on the number line below. distance: 5…
8
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find the x-intercept and the y-intercept of the line below. click on on…
(a) \(x\) - intercept: \(-3\) (b) \(y\) - intercept: \(3\)
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for each value of y, determine whether it is a solution to the equation…
For \( y = -6 \): Yes For \( y = 8 \): No For \( y = 4 \): No For \( y = -2 \): No (Mark the "Yes" circle for \( y = -6 \) and "No" circles for \( y = 8 \), \( y = 4 \), \( y = -2…
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ad = db and af = fc. df = 14 and de = 10. bc = ?
28
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in this picture, b and f are midpoints. ce = 90 bf = ?
45
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ae = ec and bf = fc. ba = 18, de = 7, and bc = 14. fe = ?
9
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is it possible for a planar graph to have 8 vertices, 10 edges and 4 re…
Yes
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if δonp is rotated 180° about point n, which additional transformation …
Reflect \( \triangle ONP\) over line \(k\)
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the following graph is planar. (trust me.) if it is drawn with no inter…
10
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which of the following explains how \\( \\triangle bei \\) could be pro…
\(\angle BEI\cong\angle CEH\) because vertical angles are congruent; rotate \(\triangle CEH\ 180^{\circ}\) around point \(E\), then \(\overline{EB}\cong\overline{EC}\)
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question 8 (multiple choice worth 1 points) (03.03r lc) if a figure has…
A translation can map one angle onto another since dilations preserve angle measures of triangles.
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question 6 (multiple choice worth 1 points) (03.03er.nc) shawn drew \\(…
The fact that \(\angle LMN=\angle PQR = 90^{\circ}\) (right - angle) and \(\angle M\) is common to both \(\triangle LMN\) and \(\triangle PQR\) (two angles congruent) can be used …
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the following graph is planar. (trust me.) if it is drawn with no inter…
11
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in $\\triangle efg$ and $\\triangle yxz$, $m\\angle f \\cong m\\angle x…
\(38^{\circ}\)
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(d) graph $k_{2,3}$ (complete bipartite graph) ☐ regular ☐ complete bip…
- Complete bipartite (checked) - Bipartite (checked) - Has a cycle (checked)
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which of the following completes the proof? given: segment ac is perpen…
\(\angle ACB\cong\angle ECD\); translate point \(E\) to point \(A\)
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which method and additional information would prove \\( \\triangle onp …
Use a rigid transformation to prove \( \angle NPO\cong\angle NLM \)
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which of the following statements is true if ( mangle e = mangle y ) an…
\(\triangle EFG\sim\triangle YXZ\)
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(a) graph $k_4$ (complete graph on 4 vertices) ☐ bipartite ☐ regular ☐ …
(a) Regular, Complete, Has a cycle (b) Has a cycle, Bipartite, Regular (c) Bipartite
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question 1 (multiple choice worth 1 points) (03.03r mc) if ( mangle abc…
Yes, the AA similarity postulate can be used because a reflection over line \(f\) will establish that \(\angle ABC\cong\angle DEC\).
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triangle abc is formed using the translation (x + 0, y + 2) and the dil…
\(\frac{A''C''}{AC}=2\) (the first option)
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question 10 (multiple choice worth 1 points) △efi is dilated by a scale…
\(\frac{FE}{FH}=\frac{FI}{FG}=\frac{1}{3}\), and \(\frac{EI}{HG}=\frac{1}{3}\) (or \(3FE = FH\), \(3FI = FG\), \(3EI=HG\) and \(\triangle EFI\sim\triangle HFG\))
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draw the edges needed in order to make the following graph complete. (i…
\( ABCDEA \) (Other valid answers like \( ADEBCA \), \( ABDCEA \), etc. are also correct as long as each vertex is visited once and returns to \( A \).)
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a city is built on the banks of a river and some islands in the river. …
DNE
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question 7 (multiple choice worth 1 points) (03.02r mc) \\( \\triangle …
congruent, proportional, similar
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question 5 (multiple choice worth 1 points) (03.02r mc) which set of tr…
Reflect \(\triangle UTS\) over \(y = 2\), and dilate \(\triangle U'T'S'\) by a scale factor of \(2\) from point \(S\).
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triangle bac was rotated 90° clockwise and dilated at a scale factor of…
$\angle C\cong\angle Z$
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question 3 (multiple choice worth 1 points) (03.02r mc) are quadrilater…
No, quadrilaterals \(ABCD\) and \(EFGH\) are not similar because their corresponding segments are not proportional.
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which of the following statements is true only if triangles efi and gfh…
\(\frac{\overline{EI}}{\overline{FI}}=\frac{\overline{GH}}{\overline{FH}}\)
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2. equilibrium and disequilibrium in the money market the following dia…
To solve the problem: 1. **New Curve (Money Supply)**: Shift the green line (triangle symbols) to the left (decrease in money supply). 2. **New Equilibrium**: Place the black poin…
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pictured here is the graph g. the edges have the following weights: - (…
37
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15 which of the following represents a circle with its center at the or…
a. \(x^2 + y^2 = 100\) ### Question 16
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8. how many radians are there in a quarter of a circle? a. $\\pi/6$ rad…
d. \(\pi/2\) radians ### Question 9
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5. in the equation below, fill in the blank with the slope of your grap…
(for question 5 slope, question 6, and question 7): - Question 5: The slope (m) is \(\boldsymbol{9.8}\) (or \(\boldsymbol{10}\)) \(N/kg\). - Question 6: The slope is \(\boldsymbol…
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1. the point where the perpendicular bisectors of a triangle intersect …
b. Circumcenter (assuming option b is labeled as Circumcenter, as per the context of the question about perpendicular bisectors intersection) ### Question 2
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use add work or your scrap paper: provide the steps you used to arrive …
To graph \( y - 4x\leq - 2 \): 1. Rewrite as \( y\leq4x - 2 \). 2. Y - intercept: \( (0,-2) \), X - intercept: \( (\frac{1}{2},0) \). 3. Draw a solid line through these points (sl…
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find the equation of the line with slope = 7 and passing through (7,53)…
$y = 7x + 4$
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determine the domain and range of the function using the graph below. t…
The domain is: \( x \leq 2 \) (from the options, as the graph's rightmost x is 2 and x can be less than or equal to 2) The range is: \( y \geq 2 \) So for domain: the correct opti…
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the exeter building covers a rectangular region that has a length of 52…
B. 5
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arithmetic reasoning question 5 of a square room has a 12 - foot long w…
D. 144 sq. ft.
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in △xyz provided, w is a point on \\overline{yz} such that \\overrighta…
C. 100°
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a person wants to install an in - ground swimming pool that will be 25 …
D. 1,800 cu. ft.
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triangle klm is formed by connecting the midpoints of the side of trian…
\boxed{14}
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triangle efg is formed by connecting the midpoints of the side of trian…
\(83^\circ\)
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triangle fgh is formed by connecting the midpoints of the side of trian…
\( 4 \)
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triangle stu is formed by connecting the midpoints of the side of trian…
\( 7 \)
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determine the appropriate integer for each situation. type your answers…
1. $-12$ 2. $28$ 3. $40$
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the right triangle on the right is a scaled copy of the right triangle …
$\frac{40}{9}$
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the right triangle on the right is a scaled copy of the right triangle …
$\frac{2}{5}$
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the triangle on the right is a scaled copy of the triangle on the left.…
\(\frac{14}{5}\)
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the right triangle on the right is a scaled copy of the right triangle …
$\frac{25}{33}$
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which angles are corresponding angles? ∠tsq and ∠wvs ∠tsq and ∠wvx ∠tsq…
∠TSQ and ∠WVX (the option labeled "∠TSQ and ∠WVX")
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1 a feed silo is made out of sheet steel 3 mm thick using a hemisphere,…
(a) The height of the cone is found by subtracting the height of the hemisphere (\(0.8\) m) and the height of the cylinder (\(1.8\) m) from the total height (\(3.3\) m): \(3.3-(0.…
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which angles are corresponding angles? (image of lines and angles with …
\( \angle NOR \) and \( \angle SRT \)