幾何
三角形、圓、解析幾何與證明題。
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use the line tool to graph the line that contains the given point and h…
The line is graphed by plotting the point \((0, - 2)\) and then using the slope \(m = 3\) to find another point (e.g., \((1,1)\)) and drawing a straight line through these points.…
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use the line tool to graph the line that contains the given point and h…
Para graficar la línea: 1. Marcar el punto \( (0, -3) \) en el plano cartesiano (intersección con el eje \( y \)). 2. Usar la pendiente \( m = -\frac{2}{3} \) para encontrar otro …
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a weathervane is pointing north. after the wind changes direction, the …
$90$
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the volume of the oblique cylinder is 5,588 mm³. if the radius is 11 mm…
14.7 mm
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dicals as needed.)
The length of the adjacent side to \(\theta\) is \(2\). (If you needed a trigonometric ratio, adjust accordingly, e.g., \(\tan\theta=\frac{3}{2}\), \(\sin\theta=\frac{3\sqrt{13}}{…
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the figure shown has a total area of 420 m². which equation can be used…
$x = 6$
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find the missing x- and y-values and pythagorean triples using the iden…
| x-value | y-value | Pythagorean Triple | |---------|---------|--------------------| | 4 | 3 | (7,24,25) | | 5 | 4 | (9,40,41) | | 6 | 3 | (27,36,45) | | 7 | 5 | (24,70,74) |
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example polygon abcd is translated 2 units down and 6 units to the righ…
Two angles are congruent if they have the same measure (i.e., the same amount of rotation between their sides) and thus the same size and shape. ### Question 2
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5 troy says that the green figure is the result of a single transformat…
Troy is correct. The gray figure can be reflected over a vertical line and then translated (or undergo other valid transformation combinations) to obtain the green figure. Geometr…
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4 quadrilateral wxyz is a reflection of quadrilateral abcd. the lengths…
\( WX = 4\space\text{cm} \), \( XY = 2\space\text{cm} \), \( YZ = 3\space\text{cm} \), \( ZW = 2\space\text{cm} \) \( m\angle W = 82^\circ \), \( m\angle X = 59^\circ \), \( m\ang…
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now hector wants to pave his driveway. pavement costs about $4.00 per s…
$900$
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the pythagorean triple (5,12,13) cant be generated from the identity ((…
$\boldsymbol{(x^2 - y^2)^2 + (2xy)^2 = (x^2 + y^2)^2}$
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part d examine this set of pythagorean triples. look for a pattern that…
1. **Pattern**: For all the given Pythagorean triples, the difference between the largest and the middle number is always 2. All these triples can be generated by the identity $(2…
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write the triples in parentheses, without spaces between the numbers, a…
1. (3,4,5) 2. 8 3. (5,12,13) 4. 12
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part a prove that when x > 1, a triangle with side lengths ( a = x^2 - …
When $x>1$, substituting the side lengths into the Pythagorean theorem confirms $a^2 + b^2 = c^2$, so the triangle with sides $a=x^2-1$, $b=2x$, $c=x^2+1$ is a right triangle.
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select all the correct answers. which triples are pythagorean triples? …
(8,15,17), (20,21,29), (30,40,50)
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expanding a binomial expression with pascal’s triangle in this task, yo…
a = $2x^3$ and b = $3y^2$
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the volume of this rectangular prism is 120 cubic feet. what is the val…
10
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the volume of this triangular prism is 616 cubic inches. what is the va…
\( 7 \)
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the volume of this rectangular prism is 952 cubic centimeters. what is …
8
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what is the volume? 9.1 yd 9.1 yd 9.1 yd cubic yards submit
753.571
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what is the volume of this rectangular pyramid? 9.4 m 10.5 m 10.5 m cub…
\( 345.45 \)
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(7, 9) and (2, 6) x1 y1 x2 y2 (6 - 9)/(2 - 7) = 3/5
$\frac{3}{5}$
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what is the volume of this rectangular pyramid? 11 mm 12 mm 18 mm cubic…
792 cubic millimeters
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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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what is the volume of this rectangular pyramid? 18 ft 19 ft 19 ft \\box…
2166 cubic feet
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what is the volume? 11 ft 11 ft 11 ft cubic feet submit
1331 cubic feet
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what is the volume? 15 mm 14 mm 7 mm cubic millimeters submit
735 cubic millimeters
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practice (5,6) and (2,8) x1 y1 x2 y2 \\(\\frac{8 - 6}{2 - 5} = \\frac{2…
$-\frac{2}{3}$
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what is the volume of this triangular pyramid? 9 m 8 m 8 m cubic meters…
96 cubic meters
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how do you calculate the area of a circle? area of a circle is equal to…
pi
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how do you calculate the area of a circle? area of a circle is equal to…
First dropdown: radius squared
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the base of a solid oblique pyramid is an equilateral triangle with a b…
\( 9\sqrt{3} \) in. (Option: \( 9\sqrt{3} \) in.)
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the four diagonals of a cube are drawn to create 6 square pyramids with…
\( \boldsymbol{\frac{1}{6} (b)(b)(2h) \text{ or } \frac{1}{3}Bh} \) (the first option)
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which lengths can be used, directly or indirectly, to calculate the vol…
A. XY and ST, B. VU and TW, D. TX and WX
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the volume of a solid right pyramid with a square base is v units³ and …
\(\frac{3V}{y^{2}}\) units (corresponding to the first option)
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the oblique pyramid has a square base with an edge length of 5 cm. the …
\( 58\frac{1}{3}\text{ cm}^3 \) (corresponding to the option \( 58\frac{1}{3}\text{ cm}^3 \))
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a solid oblique pyramid has an equilateral triangle as a base with an e…
\( 16\sqrt{3}\space cm^{3} \) (corresponding to the option \( 16\sqrt{3}\space cm^{3} \))
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a solid right pyramid has a square base with an edge length of x cm and…
\(\frac{1}{3}x^2y\space \text{cm}^3\) (the second option: \(\boldsymbol{\frac{1}{3}x^2y\space \text{cm}^3}\))
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triangle lmn is similar to triangle opq. find the measure of side qo. f…
\(6.9\) (assuming the length of \(PQ\) is \(4.6\) and the corresponding sides are \(MN = 48\) and \(LM = 72\) with \(PQ\) and \(QO\) respectively)
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find the distance between the two points rounding to the nearest tenth …
\( 5.8 \)
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using the pencil, plot the reflection of point a across the x-axis.
The reflection of point A (with coordinates (3, 5)) across the x - axis is the point with coordinates (3, - 5). To plot it, find the position 3 units to the right of the origin on…
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quadrilateral hijk is similar to quadrilateral lmno. find the measure o…
The measure of side \( LM \) is \( 52 \).
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given lines a and b are parallel, determine the measure of the unknown …
a. 68 (assuming the option labels were mistyped and this is the correct choice based on parallel line angle properties)
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day 4: fri 1/23/26 of the following coul engths of the sides of le? 0m,…
\( 68 \) (corresponding to option a. 68)
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day 3; thu 1/22/ a figure is shown below. select all the true statement…
The value of x is 124 (assuming the correct analysis of exterior angle or linear pair, the true statement is "The value of x is 124").
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consider the drawing shown. image of intersecting lines with angles 1, …
c. $\angle 1$ is congruent to both $\angle 2$ and $\angle 3$
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what are the values of ab and de in parallelogram abcd? ab = 13 (type a…
\(AB = 13\) \(DE = 4\)
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what are the values of ab and de in parallelogram abcd? ab = \\square (…
\(AB = \sqrt{185} \approx 13.6\) (Note: If exact value is needed, \(\sqrt{185}\); decimal approximation is ~13.6) Wait, correction: I mixed up the sides. In parallelogram \(ABCD\)…
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2 a triangle is shown based on the triangle, which statements are true?…
- \( x = 55^\circ \) because \( 60^\circ+65^\circ = 125^\circ \) and \( 180^\circ - 125^\circ = 55^\circ \) - \( y = 125^\circ \) because \( 180^\circ-(60^\circ + 65^\circ)=55^\ci…
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5. look at the triangle below. the smallest angle is ( x ), the largest…
The measure of angle B is \(90^\circ\).
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1. figure 1 and figure 2 are similar and have the measurements shown in…
\(\boldsymbol{\frac{x}{y}=\frac{5}{3}}\) (the option with \( \frac{x}{y}=\frac{5}{3} \))
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1 figure 1 and figure 2 are similar and have the measurements shown in …
$\boldsymbol{\frac{x}{y} = \frac{5}{3}}$ (the last option, which is selected in the image)
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2 rectangle dabc and rectangle oxyz are similar. which proportion must …
\(\boldsymbol{\frac{20}{30}=\frac{6}{x}}\) (the option with \(\frac{20}{30}=\frac{6}{x}\))
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triangle abc and triangle def are similar. select two proportions that …
B. \(\frac{3}{5}=\frac{AB}{15}\), D. \(\frac{3}{10}=\frac{5}{EF}\)
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2 rectangle dabc and rectangle dxyz are similar. which proportion must …
\(\boldsymbol{\frac{30}{20}=\frac{6}{x}}\) (the first option: \(\frac{30}{20}=\frac{6}{x}\))
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two types of governments directions: add the phrase from the list to th…
1. Citizens most control: Democratic (place in the Democratic - only circle). 2. Government most control: Autocratic (place in the Autocratic - only circle). 3. Type of government…
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8. trapezoids defg and jklm are similar. which proportion must be true?…
B. \(\frac{48}{x} = \frac{16}{12}\)
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7. triangles efg and jkl are similar. which proportion must be true? a.…
A. \( \frac{4}{x} = \frac{5}{15} \)
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6. the parallelograms below are similar. what is the value of x? 18 ft,…
24
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5. the pentagons below are similar. what is the value of x? (with two p…
6
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4. the triangles below are similar. what is the value of x? (image of t…
10
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3. the trapezoids below are similar. what is the value of x? 6 m 9 m 12…
8
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9. multiple choice 1 point 9. rectangles abcd and wxyz are similar. whi…
B. \(\frac{3}{x} = \frac{5}{35}\)
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10. trapezoids defg and jklm are similar. which proportion must be true…
D. $\boldsymbol{\frac{8}{40}=\frac{x}{30}}$
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8 multiple choice 1 point 8. trapezoids defg and jklm are similar. whic…
B. \( \frac{48}{x}=\frac{16}{12} \)
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4 the figure on the right shows the floor plan of three square rooms. t…
A. The combined size of the carpets needed for Room 1 and Room 2 is the same as the size of the carpet needed for Room 3.
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the coordinates of the vertices of a right triangle are a(-5, 2), b(-5,…
D. 11.7 units
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the measures of two angles are (left( \frac{2}{5}x + 30 ight)^circ) and…
# Explanation: ## Step1: Set the two angle expressions equal Since the angle measures are equal, we set \(\frac{2}{5}x + 30=\frac{3}{10}x + 10\). ## Step2: Eliminate fractions by …
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5 what type of triangle has exterior angles that are obtuse at two vert…
Se trata de un triángulo obtusángulo.
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8. (there are two right triangles in the image. the upper triangle has …
For the lower triangle: $w = \frac{7\sqrt{2}}{2}$, $y = \frac{7\sqrt{2}}{2}$ For the upper triangle: $w = 7$, $y = 7$
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4 is △abc similar to △dec? explain your reasoning. solution
Sí, los triángulos $\triangle ABC$ y $\triangle DEC$ son semejantes.
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what is the value of x? show your work. solution
$x = 36$
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5.8 special right triangles worksheet name: 1. 2. 3. 4. 5. 6. 7. 8.
1. $w=4$, $y=4\sqrt{2}$ 2. $w=2\sqrt{3}$, $y=4$ 3. $w=6$, $y=6$ 4. $w=5\sqrt{3}$, $y=5$ 5. $w=5$, $y=10$ 6. $w=7$, $y=7$
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the surface area of this cube is 7,266.24 square yards. what is the val…
\( 34.8 \)
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solve for b and graph the solution. 36 ≥ 4|b - 20| - 4 click two endpoi…
The solution for \(b\) is \(10 \leq b \leq 30\). To graph this, we plot a line segment with endpoints at \(b = 10\) (filled - in circle) and \(b = 30\) (filled - in circle) on the…
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the surface area of this rectangular prism is 860 square yards. what is…
12
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solve for u and graph the solution. 5 ≤ |5u - 10| click two endpoints t…
The solution for \(u\) is \(u \leq 1\) or \(u \geq 3\). To graph this, we would have a ray starting at \(1\) (with a closed circle) going to the left and a ray starting at \(3\) (…
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the surface area of this cube is 2,166 square inches. what is the value…
\( z = \boxed{19} \) inches
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the surface area of this cube is 1,536 square centimeters. what is the …
16
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solve for u and graph the solution. 25 ≤ |u - 880| click two endpoints …
The solution for \(u\) is \(u \leq 855\) or \(u \geq 905\). To graph this, we would have a ray starting at 855 (with a filled - in circle) going to the left and a ray starting at …
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the surface area of this cube is 2,400 square millimeters. what is the …
20
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solve for q and graph the solution. 5|q + 29| > 10 click two endpoints …
The solution to the inequality is \(q < - 31\) or \(q>-27\). To graph this, we would have two rays: one starting at \(-31\) (with an open circle, since the inequality is strict) a…
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solve for c and graph the solution. |c - 760| > 30 click two endpoints …
The solution for \(c\) is \(c < 730\) or \(c > 790\). To graph this, we draw an open circle at 730 and an arrow to the left, and an open circle at 790 and an arrow to the right on…
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solve for d and graph the solution.\\(|d + 50| \\leq 50\\)\\(\\)click t…
The solution for \(d\) is \(-100 \leq d \leq 0\). To graph, plot filled - in circles at \(-100\) and \(0\) on the number line and draw a line segment between them.
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solve for v and graph the solution. 75 > |v - 375| click two endpoints …
The solution for \(v\) is \(300 < v < 450\). To graph this, we would plot an open circle at 300, an open circle at 450, and draw a line segment between them (since the inequality …
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solve for q and graph the solution. -35 < -7|q + 95| click two endpoint…
The solution for \(q\) is \(-100 < q < -90\). To graph this, we use an open circle at \(-100\) and an open circle at \(-90\) with a line segment connecting them (since the endpoin…
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solve for d and graph the solution. -1 > |d - 32| - 2 click two endpoin…
The solution for \(d\) is \(31 < d < 33\). To graph this, we would draw a line segment on the number line with open circles at 31 and 33 (since the inequality is strict, not inclu…
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what is the surface area? 18.3 in 18.3 in 18.3 in square inches submit
\( 2009.34 \)
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what is the surface area of this rectangular pyramid? 9.7 cm 9.1 cm 9.1…
\( 259.35 \)
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solve for z and graph the solution. -4|z + 1| > -8 click two endpoints …
The solution for \(z\) is \(-3 < z < 1\). To graph this, we use an open circle at \(-3\) and an open circle at \(1\) (since the inequality is strict, not including the endpoints) …
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what is the volume of this rectangular pyramid? 12 ft 19 ft 19 ft blank…
1444
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what is the volume of this triangular pyramid? 13 ft 10 ft 15 ft cubic …
325
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what is the volume? 13 m 13 m 13 m cubic meters submit
2197
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a kite is flying 6 ft off the ground. its line is pulled taut and casts…
7.8 ft
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a 12-ft ladder leans against the side of a house. the bottom of the lad…
8.9 ft
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a 34-m tall building casts a shadow. the distance from the top of the b…
14.6 m
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the length of a rectangle is five times its width. if the area of the r…
72 yd
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look at this shape: which image shows a translation? a b c
B. The shape that matches the original in orientation and form, shifted to a new position
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find the length of the third side. if necessary, write in simplest radi…
$\sqrt{47}$