几何
三角形、圆、解析几何与证明题。
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
The function of the graph is \(y = x^{3}\) (Cubic function)
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each circle counts as one whole. write a mixed number giving the amount…
(a) Mixed number: $1\frac{1}{5}$ (b) Improper fraction: $\frac{6}{5}$
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a circular pizza that is 15 inches in diameter is cut into 6 equal slic…
29.5
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non - linear graphs graphs line: y = mx + b parabola: y = x² cubic: y =…
The graph represents the absolute value function \(y = \vert x\vert\)
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find the radius of the circle in which the central angle \\(\\alpha = 3…
5
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for each pair of triangles below, decide whether the triangles are cong…
a. Congruent (by SSS) b. Not Congruent (similar, not congruent) c. Congruent (by SAS or ASA or HL) d. Not Congruent
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4. a circular sign has a diameter of 24 inches. determine the measureme…
452.16 ### Question 5
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find the area of the shaded segment of the circle. the area of the shad…
1.9
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find the area of the shaded segment of the circle. the area of the shad…
\(1.4\)
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each circle counts as one whole. write a mixed number giving the amount…
(a) Mixed number: $3\frac{2}{3}$ (b) Improper fraction: $\frac{11}{3}$
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic: y = x…
The graph represents the function \(y = x^{2}\) (Parabola)
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dol given a set of problems, students will correctly solve problems inv…
B. 4 cm ### Problem 2
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
The graph represents the absolute value function (\(y = |x|\) or its transformation).
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
The graph represents the parabola \(y=x^{2}\)
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non - linear graphs graphs line: y = mx + b parabola: y = x² cubic: y =…
Parabola (\(y = x^{2}\) or its transformed version, but among the given options, the parabola equation is the one that matches the graph's shape)
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which is closest to the total surface area of a cylinder with a radius …
B. 471 sq in.
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explaining methods what are two different ways you could find the value…
Two methods: 1. **Pythagorean Theorem on the Large Triangle**: The original triangle is right - angled with hypotenuse \( 9 + 16 = 25 \) and one leg \( 15 \). Using \( a^{2}+15^{2…
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a cone has a slant height of 10 centimeters and a lateral area of 60π s…
C. \( 288\pi \text{ cm}^3 \)
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solve the inequality and graph the solution. ( t - 3 leq 3 ) plot the e…
The solution to the inequality \( t - 3 \leq 3 \) is \( t \leq 6 \). To graph this, we draw a number line, mark a closed circle at 6 (since the inequality is "less than or equal t…
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find the distance between k and l on the number line below. distance: (…
8
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find the y-intercept and the x-intercept of the line below. click on on…
(a) y - intercept: \(-2\) (b) x - intercept: \(-4\)
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what is the volume of a cylinder, in cubic centimeters, with a height o…
The volume of the cylinder is approximately \( 1847.3 \) cubic centimeters.
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29. a. determine side d. b. determine ∠e. c. determine ∠f. 29. in a sca…
### Part a: Determine side \( d \) # Explanation: ## Step 1: Identify the Law of Sines In a triangle, the Law of Sines states that \(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\si…
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a cylinder has a base diameter of 18 meters and a height of 17 meters. …
\( 4324.7 \)
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solve the inequality and graph the solution. \\(\\frac{a}{2} < 2\\) plo…
The solution to the inequality \(\frac{a}{2}<2\) is \(a < 4\). To graph the solution, place an open circle at \(a = 4\) on the number line and draw a ray extending to the left fro…
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find the area of the shaded sector of the circle. 20 ft the area of the…
\( 300\pi \)
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a cylinder has a base diameter of 18 meters and a height of 17 meters. …
\( 4324.7 \)
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic: y = x…
Line (\( y = mx + b \))
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a cylinder has a base diameter of 18 meters and a height of 17 meters. …
\( 4325.2 \)
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic: y = x…
Parabola: \(y = x^{2}\) (Note: The actual equation of the given graph is \(y=-x^{2}\), but in terms of the type of graph (parabola), it matches the parabola category among the giv…
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use the figure and the given information to determine which lines, if a…
\( m \parallel n \) (justification: If consecutive interior angles are supplementary, then lines are parallel.)
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what is the volume of a cylinder, in cubic centimeters, with a height o…
\( 1017.9 \)
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
The graph represents the function \(y = x^{2}\) (Parabola)
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solve the inequality and graph the solution. 65 > d + 73 plot the endpo…
The solution to the inequality \( 65>d + 73 \) is \( d < - 8 \). The graph has an open circle at \( - 8 \) and a ray extending to the left.
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what is the volume, in cubic feet, of a cylinder with a height of 8 fee…
\( 628.3 \)
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what is the volume, in cubic inches, of a cylinder with a height of 4 i…
\( 804.2 \)
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what is the volume, in cubic inches, of a cylinder with a height of 4 i…
\( 804.2 \)
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
Cubic (specifically a transformed cubic function, but the type of non - linear graph here is Cubic)
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use the figure and the given information to determine which lines, if a…
$a \parallel b$ (because corresponding angles $\angle 9$ and $\angle 11$ are congruent, so by the corresponding angles congruent implies parallel lines theorem, $a$ and $b$ are pa…
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what is the volume of a cylinder, in cubic centimeters, with a height o…
\( 100.5 \) cubic centimeters
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use the figure and the given information to determine which lines, if a…
\( a \parallel b \) (by Corresponding Angles Converse, since ∠9 ≅ ∠11 are corresponding angles, so lines \( a \) and \( b \) are parallel)
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic: y = x…
The equation of the non - linear graph (the parabola) is \(y=x^{2}\)
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solve for the value of v. (9v - 3)° 84° answer attempt 1 out of 2 v =
\(v = 1\)
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solve for the value of n. (6n+5)° (4n-5)° answer attempt 1 out of 2 n =…
\( n = 9 \)
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solve the inequality and graph the solution. 19n ≤ 38 plot the endpoint…
The solution to the inequality \(19n \leq 38\) is \(n \leq 2\). For the graph, place a closed circle at 2 and draw a ray extending to the left from 2.
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solve the inequality and graph the solution on the line provided. -18 +…
The solution to the inequality is \( x > 8 \). For the graph, there is an open circle at 8 and shading to the right of 8 on the number line.
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consider the work shown to determine the value of x in the following tr…
1. The correct option for the multiple - choice: The hypotenuse is not \(\boldsymbol{\sqrt{3}}\) times longer than the longer leg. 2. The correct value of \(x\) is \(\boldsymbol{\…
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
The graph represents the line with equation \( y = mx + b \) (the linear graph among the given options).
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solve for the value of k. there is a diagram with angles (k+2)° and (2k…
\(k = 30\)
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solve the inequality and graph the solution. 76 < 19q plot the endpoint…
The solution to the inequality \( 76 < 19q \) is \( q > 4 \). For the graph, place an open circle at 4 and draw a line (ray) extending to the right from 4.
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consider the work shown to determine the value of x in the following tr…
The statement "The hypotenuse is not \(\sqrt{3}\) times longer than the longer leg." is correct. So the answer for the first part (which statement) is "The hypotenuse is not \(\sq…
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find the value of x. 13√2 x 45°
\(26\)
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use the figure and the given information to determine which lines, if a…
\( p \parallel q \) (by Corresponding Angles Postulate, as \( \angle 1 \cong \angle 5 \) are corresponding angles for lines \( p \) and \( q \) cut by transversal \( j \))
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solve the inequality and graph the solution. 28 < m + 30 plot the endpo…
The solution to the inequality \(28 < m + 30\) is \(m > -2\). To graph this, we draw an open circle at \(-2\) (since the inequality is strict, \(m\) cannot equal \(-2\)) and draw …
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find the value of x and y. (image of a right triangle with one leg labe…
\(x = 14\sqrt{3}\), \(y = 28\sqrt{3}\) (or if we made a mistake in the \(30 - 60-90\) ratio application earlier, wait, no, let's check with approximate values. \(\sqrt{3}\approx1.…
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3. one exterior angle of a regular polygon measures 10°, what is the me…
Each interior angle measures \(170^\circ\), and the polygon has 36 sides.
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find the value of x and y. 17 x 30° y
\(x = 34\), \(y=17\sqrt{3}\)
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2. the graph of the equation x + 3y = 6 intersects the y-axis at the po…
b. (0, 6)
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find the value of x and y. (there is a right triangle with a right angl…
\(x = 3\), \(y=3\sqrt{3}\)
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solve the inequality and graph the solution. \\(\\frac{d}{2} > 2\\) plo…
The solution to the inequality is \(d > 4\). For the graph, there is an open circle at \(4\) and an arrow pointing to the right on the number line.
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graph the inequality in the coordinate plane. x≥-2
To graph \( x\geq - 2\): 1. Draw a solid vertical line at \( x=-2\) (since the inequality includes equality, the line is solid). 2. Shade the region to the right of the line \( x …
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composite shape a geometry teacher asks her students to rotate and repo…
The shape obtained is a rectangle. The rotation (90°) of one triangle to align with the other creates a quadrilateral with opposite sides parallel (due to congruent angles making …
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solve the inequality and graph the solution. \\(\\frac{n}{2} < 2\\) plo…
The solution to the inequality \(\frac{n}{2}<2\) is \(n < 4\). The graph of the solution has an open circle at \(4\) and an arrow pointing to the left along the number line.
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dered pair represents a 3 y > 2x - 4 6x + 3y < 9 (grid with x-axis from…
a. \((0, 0)\)
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solve the inequality and graph the solution. $\frac{p}{2} geq -4$ plot …
The solution to the inequality is \(p \geq -8\). For the graph, place a closed circle at \(-8\) on the number line and draw a ray extending to the right from \(-8\).
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composite shape a geometry teacher asks her students to rotate and repo…
The resulting shape is a **rectangle (or parallelogram)**. When we rotate one triangle (e.g., $\triangle DCE$) to align $E$ with $A$ and $D$ with the appropriate vertex, the congr…
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graph the inequality in the coordinate plane. y < -3
To graph \( y < - 3 \): 1. Draw a dashed horizontal line at \( y=-3\) (parallel to the x - axis, passing through \((x, - 3)\) for all \( x\)). 2. Shade the region below this dashe…
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3. find the slope from following table: | x | y | | -8 | 2 | | -4 | 5 |…
\(\frac{3}{4}\)
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solve the inequality and graph the solution. 16 > 8a plot the endpoints…
The solution to the inequality \(16 > 8a\) is \(a < 2\). The graph has an open circle at 2 and a ray pointing to the left (towards negative infinity) from 2.
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find the perimeter. simplify your answer. z+3 4 5 submit
\( z + 12 \)
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solve the inequality and graph the solution. \\frac{5}{2} > 2 plot the …
The solution to the inequality \(\frac{x}{2}>2\) is \(x > 4\). For the graph, place an open circle at \(4\) and draw an arrow pointing to the right.
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find the area of this parallelogram. be sure to include the correct uni…
\( 154 \, \text{ft}^2 \)
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find the area of this parallelogram. be sure to include the correct uni…
\( 84 \) square inches (or \( 84 \, \text{in}^2 \))
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
Cubic (or \(y = x^3\))
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find an equation of the line graphed. write the equation in standard fo…
D. \(3x - 4y=-16\)
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of inequalities, then determine if each orde 2 $y \\geq -\\frac{1}{2}x$…
b. \((-3, 5)\) is a solution (as both inequalities are satisfied), while a. \((2, 4)\) is not (fails \(2x + 4y < 20\)). So the solution is b. \((-3, 5)\)
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic: y = x…
The graph represents a Parabola (equation \( y = x^2 \) or its transformation like \( y=-x^2+\dots \)).
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non - linear graphs graphs line: y = mx + b parabola: y = x² cubic: y =…
The graph represents the absolute value function \(y = \vert x\vert\) (adjusted for the vertical shift in the grid, but the general shape corresponds to \(y=\vert x\vert\)).
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△jkl and △kmn are shown below. which statement is true? △jkl is similar…
$\triangle JKL$ is similar to $\triangle KMN$.
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think about the process what is the first step to graph each equation? …
D. Plot the y - intercept
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△qsu and △rst are shown below. which statement is true? △qsu is similar…
\(\triangle QSU\) is similar to \(\triangle RST\).
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find the circumference and the area of a circle with diameter 3 ft. use…
Circumference: \( 9.42 \) ft Area: \( 7.065 \) \( \text{ft}^2 \)
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complete the table. 10. 11. 12. 13. 14. 15. a triangular vegetable gard…
46 #### Problem 11:
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic: y = x…
Parabola (corresponding to the equation \( y = x^2 \) in the given list, with the understanding of vertical reflection for the downward opening)
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△abc and △def are shown below. which statement is true? △abc is similar…
\(\triangle ABC\) is similar to \(\triangle DEF\).
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find the circumference and the area of a circle with radius 9 yd. use t…
Circumference: \( 56.52 \) yd Area: \( 254.34 \) yd²
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graph the parabola ( y = (x - 1)^2 + 2 ) plot five points on the parabo…
Vertex: \((1, 2)\), Left points: \((0, 3)\), \((-1, 6)\), Right points: \((2, 3)\), \((3, 6)\) (These points can be plotted on the graph to sketch the parabola)
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Question was provided via image upload.
a. \((2,4)\) does not satisfy the system of inequalities. b. \((-3,5)\) satisfies the system of inequalities.
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
The graph represents the cubic function \( y = x^{3}\)
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which rotation is shown in the coordinate plane? 180° clockwise 180° co…
180° clockwise
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
Line (\( y = mx + b \))
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△ghi will be rotated 180° around the origin to form △ghi. 180° rotation…
\( (5, -7) \)
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in 1-3, graph the system of ine solution to the system. 1 $y < 5$ $y \\…
a. \((-3, 4)\)
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△cde and △fgh are shown below. which statement is true? △cde is similar…
$\triangle CDE$ is similar to $\triangle FGH$.
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non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …
The graph represents the cubic function \(y = x^{3}\)
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graph the parabola. ( y = (x + 4)^2 + 3 ) plot five points on the parab…
The vertex is \((-4, 3)\), left points are \((-5, 4)\), \((-6, 7)\) and right points are \((-3, 4)\), \((-2, 7)\) (these points can be plotted to graph the parabola).
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1 $y < 5$ $y \\geq \\frac{1}{3}x + 3$ (grid with x-axis from -7 to 7 an…
a. \((-3, 4)\)
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skylers garden is shown in the image below. what is the area of skylers…
40
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if a cube with side length 6 inches has its dimensions divided in half,…
C. 27 cubic inches
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y = -4x² + 7 plot five points on the parabola: the vertex, two points t…
The five points are \((0,7)\), \((-1,3)\), \((-2,-9)\), \((1,3)\), \((2,-9)\)