幾何
三角形、円、座標幾何、証明問題。
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deriving an area formula see the figure of $\\triangle abc$ with auxili…
First blank (height): \( b\sin(A) \) (or \( a\sin(B) \), but standard is \( b\sin(A) \) for angle \( A \)) Area \( \triangle ABC \): \( \frac{1}{2}bc\sin(A) \) (Note: Depending on…
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find the equation of the line perpendicular to y=5x-1 that passes throu…
y=-(1)/(5)x+(17)/(5)
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formula for the area of a parallelogram: $a = bh$ example: the height i…
1. Area = 128 ft², Perimeter = 48 ft 2. Area = 180 m², Perimeter = 56 m 3. Area = 16.32 cm², Perimeter = 17.4 cm 4. Area = 60.45 cm², Perimeter = 33.6 cm 5. Area = 9000 ft², Perim…
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finding the area of a triangle what information relevant to calculating…
The area of the triangle is approximately \( 34.98 \) square units.
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which of the following pairs of lines are parallel? lines with slopes 3…
D. Lines with slopes 2 and 2
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which of the following lines is parallel to the line $y = -\\frac{1}{2}…
y=-1/2x-3
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when javiers mom started her new job, javier bought her a lunch box as …
Correct equation: $7.5 \cdot 10.5 \cdot h = 551.25$ Height of the lunch box: 7 inches
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a rectangular prism is 10.5 inches wide and 8 inches tall. its volume i…
Correct equation: $1,722 = l \cdot 10.5 \cdot 8$ Length of the prism: 20.5 inches
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find the volume of the rectangular prism. write your answer in simplest…
\(\frac{4}{45}\) cubic feet
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a rectangular prism has a volume of 2,730 cubic inches. the prism has a…
Correct equation: $15 \cdot w \cdot 14 = 2,730$ Width of the prism: 13 inches
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gh is a midsegment of triangle def and de is a midsegment of triangle a…
The length of segment \( BC \) is \( 6 \) cm.
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role of government before the depression role of government after the d…
### Role of Government BEFORE the Depression (Left Circle Only): - balance federal budget - conservative - decrease unemployment (via private market) - rugged individualism - reli…
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a ski slope has an angle of elevation of 23°. a which ratio would you u…
We use the tangent ratio. For the given $23^\circ$ angle, the height $x$ is the opposite side, and 3076 ft is the adjacent side to the angle. The tangent of an angle in a right tr…
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6.3. more triangle theorems 1. if triangle ( abc ) is an equilateral tr…
18 feet
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solution: 4 graph the solution set of the inequality ( 3(1 - x) < 9 ). …
The solution to the inequality is $x > \frac{1}{4}$. To graph this: 1. Draw a number line and plot an open circle at $\frac{1}{4}$ (0.25). 2. Shade the entire portion of the numbe…
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the equation of line q is $y = \\frac{1}{6}x - 5$. line r, which is par…
$y = \frac{1}{6}x + 1$
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line c has an equation of ( y = -\frac{3}{4}x - 3 ). line d, which is p…
$y = -\frac{3}{4}x - \frac{7}{2}$
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in the figure shown, $m\\angle 1 = 5x - 9$ and $m\\angle 2 = 2x - 6$. f…
\(m\angle1 = 66^\circ\) \(m\angle2 = 24^\circ\)
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in triangle △abc, m∠a = 50, ab = 4.5 cm, and m∠b = 73. △abc is asa cong…
\(DE = \boldsymbol{4.5}\) cm, \(m\angle F = \boldsymbol{57^\circ}\)
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7. use the inequality 18 < -3(4x - 2). a. solve the inequality for x. b…
s: a. \( x < -1 \) b. B (the graph with an open circle at -1 and an arrow pointing to the left)
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a 90° rotation around the origin followed by a reflection across the li…
12
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geometry hon-parkes (lms) topic 7: readiness assessment (lms graded) du…
\(28\)
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$, with vertices at $(0, 3)$, $(0, -3)$, $(2, 0)$, and $(-2, 0)$, forming a vertically elongated oval shape passing through th…
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give one pair of supplementary angles and one pair of vertical angles s…
(a) Supplementary angles: \(\angle1\) and \(\angle2\) (other valid pairs: \(\angle2\) and \(\angle3\), \(\angle3\) and \(\angle4\), \(\angle4\) and \(\angle1\), \(\angle5\) and \(…
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a dilation with center (0, 0) and scale factor of 2 maps $\\triangle ab…
C. \( m\angle B = m\angle E \)
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical-oriented oval shape passing …
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give one pair of vertical angles and one pair of supplementary angles s…
(a) Vertical angles: $\angle 1$ and $\angle 3$ (or other valid pair like $\angle 2$ and $\angle 4$, $\angle 5$ and $\angle 7$, $\angle 6$ and $\angle 8$) (b) Supplementary angles:…
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on a map, the scale is 1 inch = 12 miles. if the distance between two t…
C. 54 miles
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given a(5, -2), what are the coordinates of the image of a after a refl…
D. \((5, 2)\)
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#6 6.8m 21.1m area:
The area of the triangle is \( 71.74\,\text{square meters} \) (assuming it is a right - triangle with the given sides as legs). If the triangle is not a right - triangle, more inf…
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#15 area: (the image shows a triangle with a base of 5.4 in and a heigh…
The area of the triangle is $7.29$ square inches.
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los preguntas interrogativas - word search write the spanish meanings o…
1. How many? / How much? → **cuántos/cuánta** 2. How? → **cómo** 3. What? → **qué** 4. Where? → **dónde** 5. Which one? / Which? → **cuál** 6. Who? / Whom? → **quién** 7. Why? / F…
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question 5 week 3 - eoc practice (ra1fl) text alternative a) {x|-4 < x …
D) \(\{x|x < - 4\) or \(x>0\}\)
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6. a ski slope has an angle of elevation of 23°. a which ratio would yo…
We use the tangent ratio, $\tan(23^\circ) = \frac{x}{3076}$. This is because tangent relates the opposite side (the unknown height $x$) and the adjacent side (the known 3076 ft le…
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you can perform translations in the coordinate plane. translate △abc 4 …
The coordinates of the translated triangle are \( A'(1, 2) \), \( B'(4, 3) \), \( C'(3, 1) \), and the triangle \( \triangle A'B'C' \) is formed by plotting these points and conne…
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you can perform translations in the coordinate plane. translate $\\tria…
To translate \( \triangle ABC \) 4 units up, we first identify the coordinates of \( A \), \( B \), and \( C \) (e.g., \( A(1, - 2) \), \( B(4, - 1) \), \( C(3, - 3) \)). Then we …
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12m, 4.5m, area:
The area of the triangle is \( 27m^{2} \).
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4. triangle lst is shown, where \\(\\overline{mg}\\) is the midsegment.…
$\frac{1}{2}$
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you can perform translations in the coordinate plane. translate $\\tria…
A. Quadrant I
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find the slope of the line passing through the points (-4, -4) and (2, …
\(\frac{3}{2}\)
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find the slope of the line passing through the points (-7, -7) and (-3,…
\(\frac{13}{4}\)
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which figures are translations of figure a? choose all that apply. figu…
C. Figure C, D. Figure C, D. Wait, the options are Figure B, C, D, E, F. So the correct ones are Figure C and Figure D. So the answer is Figure C, Figure D. So in the options: C. …
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1. what is the area of this shape? \\(\\square\\) = 1 square unit
20 square units
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1. what is the area of this shape? \\(\\square\\) = 1 square unit
20 square units
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which figures are translations of figure a? choose all that apply. figu…
C. Figure C, D. Figure D
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line ( l ) is shown below. right triangles ( abc ) and ( def ) are draw…
rise: \( 8 \), run: \( 12 \), slope: \( \frac{2}{3} \) ### Part (b)
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which figure is a translation of figure p? figure q how can you map fig…
Translate figure P 6 units right to form figure Q. The number of units is 6, and the direction is right. So the box should be filled with 6, and the dropdown (for direction) shoul…
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which figure is a translation of figure p? figure q figure r figure s
Figure Q
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which figure is a translation of figure a? figure c how can you map fig…
Figure C ### Sub - question 2: How many units and in which direction to translate figure A to map onto figure C?
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#3 area: (the triangle has a base of 5.6cm and a height of 2.8cm, with …
The area of the triangle is \( 7.84\space cm^2 \).
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which figure is a translation of figure a? figure c how can you map fig…
3
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9 which figure is a translation of figure a? 10 figure c 11 how can you…
3, down
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which figure is a translation of figure a? figure b figure c figure d
Figure C
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directions: write an equation passing through the point and parallel to…
\(y = 3x-5\) ### Problem 2: \((-2, 3)\); \(y=x + 4\)
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points a, b, and c show the locations of three trumpet players during a…
A translation is a transformation that moves each point of a figure \(\boldsymbol{\text{the same distance}}\) in \(\boldsymbol{\text{the same direction}}\)
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the table shows the coordinates of the vertices of $\\triangle rst$ and…
10 units to the left
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b(0, 4) b(3, 4) c(-3, 1) c(0, 1) which translation maps △abc onto its i…
3 units right (Note: While the provided options are incomplete, based on the coordinate changes, the correct translation is 3 units right; the listed options of up/down do not mat…
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the table shows the coordinates of the vertices of $\\triangle jkl$ and…
4 units down
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translation of the point (1, -2) to the coordinates of its image. 3 uni…
- 3 units left $ ightarrow (-2, -2)$ - 3 units right $ ightarrow (4, -2)$ - 3 units up $ ightarrow (1, 1)$ - 3 units down $ ightarrow (1, -5)$
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graph the line that has a slope of \\(\\frac{6}{5}\\) and includes the …
The line passes through the points $(0, -1)$ and $(5, 5)$; connecting these points creates the required line.
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area: #2 8m 6m
The area of the triangle is $24\,\text{square meters}$ (or $24\,\text{m}^2$).
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logical reasoning the quilt design in the photo is based on the pattern…
$r=\sqrt{2}$, $s=\sqrt{3}$, $t=2$, $u=\sqrt{5}$, $v=\sqrt{6}$, $w=\sqrt{7}$
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this image has rotational symmetry. what is the smallest number of degr…
$60^\circ$
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this image has rotational symmetry. what is the smallest number of degr…
$22.5$
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describe the translation that maps $\\triangle def$ onto $\\triangle jk…
Translate $\triangle DEF$ 2 units to the right to form $\triangle JKL$.
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this image has rotational symmetry. what is the smallest number of degr…
$36^\circ$
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this image has rotational symmetry. what is the smallest number of degr…
$72^\circ$
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this image has rotational symmetry. what is the smallest number of degr…
$180^\circ$
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finding area find the area of the figure. round decimal answers to the …
$31.2$ square feet
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#1 15in 40in area: ______ #2 6m
The area of the triangle is 300 square inches.
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solve the inequality. graph the solution. \\(|-6x + 8| > 7\\) select th…
A. The solution is $x < \frac{1}{6}$ or $x > \frac{5}{2}$. A. <graph option A: left arrow from open circle left of 0, right arrow from open circle right of 0>
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a system of equations has infinitely many solutions when the slopes of …
A. same; same
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20 multiple answer 5 points select all the true statements. (smiley fac…
A. The ratio of triangles to squares is 2 to 4, D. There are two squares for every triangle, F. There are three smiley faces for every triangle
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what is the equation of the line that passes through the point (6, -3) …
\(x = 6\)
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persevere with problems find the measure of angle a and angle b for the…
\(m\angle A = 35^\circ\), \(m\angle B = 55^\circ\)
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finding lengths sketch the figure that is described. find the requested…
18.4 inches
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15) through: (3, 1), slope = \\(\frac{1}{2}\\)
$y = \frac{1}{2}x - \frac{1}{2}$
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14) through: (2, 5), slope = undefined
$x = 2$
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13) through: (2, -4), slope = -1
$y = -x - 2$
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what is m∠1? m∠1 = \\square° submit
$147^\circ$
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what is $m\\angle 1$? $m\\angle 1 = \\square ^\\circ$
$120$
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solve the inequality. graph the solution. |7x - 7| + 2 < 23 what is the…
The solution is $\boldsymbol{-7 < x < 14}$, which corresponds to **Graph C**.
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finding lengths sketch the figure that is described. find the requested…
12.7 inches
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nadia has 4 - meter logs. help her cross each pool. last, nadia crosses…
3 whole logs and $\frac{1}{4}$ of a log
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what is ( mangle 1 )? ( mangle 1 = square^circ )
$138$
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what is ( mangle 1 )? ( mangle 1 = square^circ ) submit
$30$
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using the scenario where you run 20 meters east and then 15 meters west…
5 meters east
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you run 20 meters east and then turn around to run 15 meters west, what…
35 meters
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finding lengths sketch the figure that is described. find the requested…
4.3 centimeters
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what is ( mangle 1 )? ( mangle 1 = square^circ )
$82$
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nadia has 4 - meter logs. help her cross each pool. next, nadia crosses…
1 whole log and $\frac{1}{2}$ of a log
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using algebra find the value of each variable. write answers in simples…
$n = 6$
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what is ( mangle 1 )? ( mangle 1 = ) (^circ)
$149^\circ$
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what is $m\\angle 1$? $m\\angle 1 = \\square ^\\circ$
$41^\circ$
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what is $m\\angle 1$? $m\\angle 1 = \\square^\\circ$
$128$
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what is ( mangle 1 )? ( mangle 1 = square^circ )
$114^\circ$
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what is m∠1? m∠1 = \\underline{\\quad\\quad} °
$120^\circ$
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given: ( ab cong dc, ad cong bc ) prove: ( angle a cong angle c ) given…
By showing \( \triangle ADB\cong\triangle CBD \) (SAS) and using CPCTC, we prove \( \angle A\cong\angle C \). ### Problem 20 (Proving \( \overline{MN}\cong\overline{TQ} \) given \…
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what is ( mangle 1 )? ( mangle 1 = square^circ ) submit
$135$
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given right triangle xyz, with altitude wz, find each length. a. if xw …
\( WZ = 6 \) ### Part b