幾何
三角形、圓、解析幾何與證明題。
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take quiz service, there is no evidence that disappearances occur more …
A. Compare the event to similar situations
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graph x < 5 pick the endpoints. select an endpoint to change it from cl…
To graph \(x < 5\) on the given number line (with marks at 4, 5, 6, 7, 8, 9): 1. At the position of 5 on the number line, place an open circle (this indicates that 5 is not includ…
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a figure is shown, where triangle abc is similar to triangle ade. the l…
$(2.4, 4.2)$
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find the common ratio of the geometric sequence 2, \\frac{1}{2}, \\frac…
C. $\frac{1}{4}$
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example #1: draw an angle with the given measure in standard position. …
An angle in standard position with measure $240^\circ$ has its vertex at the origin, initial side along the positive x-axis, and terminal side in Quadrant III, $60^\circ$ below th…
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emma is given the figure shown and asked to find the measurement of ∠a.…
B. $\tan A=\frac{7}{24}$
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now, find the change in vertical and horizontal distance from (2, 22) t…
Change in horizontal distance: 1 Change in vertical distance: 8
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which set of numbers are possible side lengths for a right triangle? a …
C. 6, 8, 10
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find the area of the shaded region, given the perimeter measurements.
$2904 - 175\sqrt{5} \, \text{cm}^2$ (or approximately $2513.7 \, \text{cm}^2$)
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find the volume of each figure. round your answers to the nearest hundr…
21) $\boldsymbol{164.00}$ $\text{m}^3$ 22) $\boldsymbol{223.20}$ $\text{in}^3$
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name: 5.3 warm-up 1. if $\\triangle mnp$ is an equilateral triangle, fi…
$x = 6$, $y = 13$
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the graphs and equations represent the relationships between the number…
Yes
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the smaller triangle is a pre - image of the bigger triangle. the cente…
\(4\)
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to the nearest tenth of a unit, what is the distance on a coordinate pl…
19.4
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determine the length of side cb. a 5 b $5\\sqrt{2}$ c $5\\sqrt{3}$ d 10…
C. \(5\sqrt{3}\)
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mat2l 7. identify, in millimetres, the location of each arrow. a) b) c)…
### Question 7 a) 8 mm b) 30 mm c) 49 mm d) 71 mm ### Question 8 a) 0.8 cm b) 3.0 cm c) 4.9 cm d) 7.1 cm ### Question 9 a) 100 cm b) 12 cm c) 1 mm d) 9 in e) 240 in f) 1 ft ### Qu…
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identify the center of dilation and scale factor of each dilation. 6. 7.
### For Figure 6: Center of dilation: $(0, 0)$; Scale factor: $2$ ### For Figure 7: Center of dilation: $(0, 0)$; Scale factor: $\frac{1}{2}$
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what are the coordinates of the point (2,-3) after a counterclockwise r…
(3,2)
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25. 7x + 6y = -42
The line passes through the x-intercept $(-6, 0)$ and y-intercept $(0, -7)$, with the graphed line connecting these two points.
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point d(-1,5) is reflected across the x-axis. which statements about d …
A. The x - coordinate is - 1 B. The y - coordinate is - 5
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the figure shows a triangle with side lengths a, b, and hypotenuse c. m…
a: 3 cm b: 4 cm c: 5 cm (Other valid Pythagorean triples could also work, but 3 - 4 - 5 is a classic example.)
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22. 3x - 2y = 12 23. 4x + 5y = 20
1. For $3x-2y=12$: - Plot points $(4, 0)$ and $(0, -6)$, then draw a straight line through them. The line has a slope of $\frac{3}{2}$. 2. For $4x+5y=20$: - Plot points $(5, 0)$ a…
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3. $\\triangle abc \\sim \\triangle xyz$ 4. $\\triangle abc \\sim \\tri…
3. $x=17$, $y=8$ 4. $x=\frac{864}{65}\approx13.29$, $y=\frac{72}{13}\approx5.54$ 5. $x=9$ 6. $x=10$, $y=7.5$
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find the area of the shaded region, given the perimeter measurements. 1…
1. Area of the shaded trapezoidal region: $\boldsymbol{155\sqrt{7}\ \mathrm{cm}^2}$ (or approximately $\boldsymbol{2050.7\ \mathrm{cm}^2}$) 2. (1) Estimated area with standard uni…
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graph and label each figure and its image under a dilation with the giv…
1. Triangle RST image vertices: $R': (-10, 2)$, $S': (-6, 8)$, $T': (4, -2)$ 2. Rectangle ABCD image vertices: $A': (-9, 0)$, $B': (3, 6)$, $C': (6, 0)$, $D': (-6, -6)$ (To comple…
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1. name three types of abuse a b c 2. i must report any allegation imme…
A. Physical Abuse B. Verbal Abuse C. Mental Abuse ### Question 2
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the volume of a cone is 27 cm³. what is the volume of a cylinder that s…
\( 81 \)
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janice wants to find the area of a square tabletop. she uses the formul…
9 square feet
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4 consider the geometric series ( 7 + 14 + 28 + dots + 3584 ). a find t…
s: a) The number of terms \( n=\boxed{10} \) b) The sum of the series \( S_{10}=\boxed{7161} \)
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trapezoid area using pythagorean theorem 6 m find the area of the trape…
1. Area of the top trapezoid: $30$ m² 2. Area of the bottom trapezoid: $15\sqrt{11}$ m² (or approximately $49.75$ m²)
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which shape is a quadrilateral? a. b.
a. <The closed shape with 4 straight sides>
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solve equations with adjacent angles practice complete this assessment …
$x = 30$
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select the correct text in the passage. which phrase in this excerpt fr…
"the blessings of another world war"
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a pentagon with vertices labeled a, b, c, d, e. side ab is labeled 3x +…
\( x = \frac{3}{2} \) (or \( 1.5 \))
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which two directions can a figure be rotated on a coordinate plane? sel…
The two directions a figure can be rotated on a coordinate plane are: - clockwise - counterclockwise
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when rotating a figure on a coordinate plane, it is rotated around the …
True
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y = -x² plot five points on the parabola: the vertex, two points to the…
The five points are: Vertex: $(0,0)$ Left points: $(-1,-1)$, $(-2,-4)$ Right points: $(1,-1)$, $(2,-4)$
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y = 3x² plot five points on the parabola: the vertex, two points to the…
The five points are: Vertex: $(0, 0)$ Left points: $(-1, 3)$, $(-2, 12)$ Right points: $(1, 3)$, $(2, 12)$
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23. how many planes appear in the figure?
\( 7 \)
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21. classify $\\angle 1$ and $\\angle 2$ using all relationships that a…
∠1 and ∠2 are adjacent angles, supplementary angles, and form a linear pair.
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20. ∠e and ∠f are supplementary. if m∠e = (9x - 38)° and m∠f = (2x + 42…
\(74^\circ\)
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how many solutions does this system of equations have? one solution no …
no solution
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1) area = 2) 16 in area = 3) 5 yd area = 4) 8 yd area = 5) 10 ft area =…
1. $530.66$ sq. ft 2. $803.84$ sq. in 3. $78.5$ sq. yd 4. $200.96$ sq. m 5. $78.5$ sq. ft 6. $38.465$ sq. in 7. $28.26$ sq. ft 8. $379.94$ sq. m 9. $113.04$ sq. yd
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are the great principles of political freedom and of natural justice, e…
to criticize the Fourth of July celebrations
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fellow - citizens, pardon me, allow me to ask, why am i called upon to …
The purpose of Frederick Douglass's speech is to critique the hypocrisy of Fourth of July celebrations, pointing out that the freedom and equality the holiday honors are denied to…
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grade 6 unit 4 georgia’s k-12 mathematics standards date: the algebra o…
First problem: $\text{moon} = 5$ Second problem: $\text{trapezoid} = 10$
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area = area = area =
First triangle area: \( 18 \) square feet Second triangle area: \( 16 \) square inches Third triangle area: \( 90 \) square yards
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snow day #3 assignment- optional a figure is shown, where triangle abc …
$(9.2, 16.1)$ *Note: Any scalar multiple of $(1.2,2.1)$ that extends the similarity will work; another valid answer is $(6, 10.5)$ (scalar factor 5, since $1.2*5=6$, $2.1*5=10.5$,…
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find the area of each triangle. 1) 2) 3) 4) 5) 6)
\( 36 \) square yards ### 2)
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iliana rotated trapezoid wxyz 180° about the origin. what is the correc…
$W'(4, -1)$, $X'(3, -3)$, $Y'(1, -3)$, $Z'(0, -1)$
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what is the coordinate for the image of point h(2, -6) under a 90° cloc…
H'(-6, -2)
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triangle xyz is rotated 90° clockwise about the origin. what are the co…
$(1, 3)$
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tomaz realized that the tip of a second hand on a clock rotates about t…
90° clockwise rotation
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24. for the right triangle $\\delta abc$ shown below, what is $\\tan b$…
J. $\frac{c}{a}$
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point a has coordinate a(3, 2). the point is rotated 180° clockwise abo…
$-3$
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triangle xyz has vertices x(-1, -3), y(0, 0), and z(1, -3). malik rotat…
$X'(-3, 1), Y'(0, 0), Z'(-3, -1)$
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tanya’s rotation maps point k(24, −15) to k’(−15, −24). which describes…
90° clockwise rotation
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triangle xyz has vertices x(1, -1), y(3, 4), and z(5, -1). nikko rotate…
$X'(1, 1), Y'(-4, 3), Z'(1, 5)$
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are the triangles similar? if so, what is the scale factor from δdef to…
Yes: 2/3 (the green option, assuming the first option is "Yes: 2/3")
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the pair of figures is similar. find the missing side. x = 9; x = 1; x …
$x = 3$ (corresponding to the option with $x = 3$)
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there is a coordinate grid with a shaded region and a dashed line. belo…
The correct inequalities are: - $3x+y<2$ - $y\leq -0.5x+4$ From the provided options, the selected and correct pair is: $3x+y<2$ and $y\geq -0.5x+4$ is incorrect, wait no—wait the…
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a school yard has an area of 24 square meters. what shape could represe…
El rectángulo con área 24 (por ejemplo, el de 3 columnas y 8 filas, generalmente el inferior derecho o superior izquierdo si se cuenta correctamente) es el que representa el patio…
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$\\triangle abc\\cong \\triangle xyz$ which is true? ab$\\cong$yx; bc$\…
C. \(AB \cong XY\) (assuming the orange option is labeled as C, with the text \(AB \cong XY\))
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what is the area of the rectangle? 7 5 square units
35
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rectangular area a tablet screen is a rectangle with a length of 9 inch…
63 square inches
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20. if a rectangle measures 20 meters by 48 meters, what is the length,…
F. 52
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\we choose to go to the moon\ speech by john f. kennedy which of the fo…
"Space can be explored...without feeding the fires of war, without repeating the mistake..."
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question 5 0.5 pts find the slope between the points (1,3) and (4,-6). …
-3 (corresponding to the option with -3)
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question 3 match the following special types of lines to the correspond…
Vertical Line: Undefined Slope Horizontal Line: Slope = 0 ### Question 4
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question 3 0.5 pts match the following special types of lines to the co…
Vertical Line: \(m=\text{undefined}\) Horizontal Line: \(m = 0\) ### Question 4
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determine the slope of each line given the following information. write…
Slope of left line: $\boldsymbol{-\frac{9}{10}}$ Slope of right line: $\boldsymbol{2}$
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4. if ( d^circ = 130^circ ), what is the value of ( g^circ )? options: …
$60^\circ$
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4. if ( d^circ = 130^circ ), what is the value of ( g^circ )?
$200^\circ$
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directions: find the area and circumference of each circle below. 2. 3.…
2. Circumference: $14\pi$ m (≈43.98 m), Area: $49\pi$ m² (≈153.94 m²) 3. Circumference: $30\pi$ ft (≈94.25 ft), Area: $225\pi$ ft² (≈706.86 ft²) 4. Circumference: $20.4\pi$ in (≈6…
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3. what is the sum of ( k^circ + i^circ )? options: ( 290^circ ), ( 110…
$180^\circ$ (Option: 180°)
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** this is a 2 - page document! ** 1. give an example of each circle pa…
a) Center: $K$ b) Radius: $\overline{KJ}$ (or $\overline{KI}$, $\overline{KL}$) c) Chord: $\overline{JL}$ (or $\overline{HI}$, $\overline{IJ}$) d) Diameter: $\overline{IJ}$ e) Sec…
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1. the purpose of the compromise of 1850 was to... a. ... satisfy both …
a. ... satisfy both the pro - slavery and anti - slavery states. ### 2. (Como la pregunta está incompleta, se asume que se refiere a opciones sobre el Compromiso de 1850. Si las o…
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2. which angle is an exterior angle?
The exterior angles are $\boldsymbol{a^\circ}$, $\boldsymbol{c^\circ}$, $\boldsymbol{d^\circ}$, $\boldsymbol{e^\circ}$, $\boldsymbol{f^\circ}$, $\boldsymbol{i^\circ}$, $\boldsymbo…
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1. what is the sum of $a^{circ}+b^{circ}$? options: $180^{circ}$ we nee…
180°
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□ $y > x$ □ $y \\leq -3x + 1$ □ $y < -\\frac{1}{2}x + 4$ □ $y \\geq -3x…
- $y > x$ - $y \leq -3x+1$
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30. points b and c lie on segment ad as shown below. the length of segm…
G. 6
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□ $y\\ge -0.5x + 4$ □ $3x + y < 2$ □ $x + 3y < 4$ □ $x + 3y \\le 4$ □ $…
$\boldsymbol{3x+y < 2}$
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find the value of each variable. if your answer is not an integer, writ…
$x = 24\sqrt{3}$ and $y = 36$
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find the value of each variable. x = \\square and y = \\square (simplif…
$x = 15$ and $y = 15\sqrt{2}$
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find the value of variable x. if your answer is not an integer, write i…
5
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question 5 when a system of inequalities is graphed, we call the area w…
Solution region
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solve for x. 5. 6. x = x = 7. use the diagram at the right. a. which an…
$x = 14$ --- ### Problem 6
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3. match the two - dimensional figure and axis of rotation with the sol…
A - 3 (a cone), B - 1 (a cylinder), Semicircle - 2 (a sphere) (assuming the third figure is a semicircle for the sphere; if the third figure's label is missing, based on the solid…
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graph the system of inequalities, y ≥ 4x - 1 y < -x - 6 note: after you…
1. Solid line for $y=4x-1$, shaded above the line. 2. Dashed line for $y=-x-6$, shaded below the line. 3. Green dot placed in the overlapping shaded region (e.g., at $(-5, -3)$).
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graph the system of inequalities. x < y y > -2 note: after you make you…
1. Draw a dashed line for $y=x$ (passing through $(0,0)$, $(1,1)$). 2. Draw a dashed horizontal line for $y=-2$. 3. Shade (and place the green dot in) the region that is above bot…
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find the distance between a and b. a. $2\\sqrt{2}$ units b. 3 units c. …
C. \(\sqrt{10}\) units
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3. name 2 figures for which a circle can be a cross section.
1. Sphere 2. Cylinder
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which angle is vertical to $\\angle agc$?\ \ \ \ \ \ $\\angle dgf$\ $\\…
$\angle EGF$
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2. imagine an upright cone with its base resting on your horizontal des…
The cross - section formed by a vertical plane not passing through the cone’s topmost point is a hyperbola (or a parabola depending on the exact angle of the plane, but generally …
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a2 name: lesson 2 practice problems 1. select all figures for which the…
C. rectangular prism, D. cube, F. cylinder, G. sphere
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there is a coordinate plane with two lines intersecting. the x - axis r…
$(-5, 3)$
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options: (-2.5, -2.5); no solution; (0, -3); infinitely many solutions
No solution
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1. use the sketching tool to mark the side that b triangles share as co…
B. SAS ### Question 3
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1. use the sketching tool to mark the side that both triangles share as…
AAS ### Question 3 (Congruence Statement)
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unit 5 test (b) period 1st directions: read through and complete each p…
1. c) 6.2 2. a) 20.2 m 3. b) 36 m 4. d) $\frac{20}{29}$ 5. c) 2704 ft