Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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5. rectangle wxyz has a perimeter of 30 units. determine which ordered …
- \( Y(-3, 7) \) and \( Z(6, 7) \) - \( Y(6, 7) \) and \( Z(-3, 7) \) - \( Y(6, -5) \) and \( Z(-3, -5) \)
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the curved parts of the figure are arcs centered at points a and c. wha…
C. 23.1
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4. which expression is equivalent to the perimeter of δghj? a. ( 5 + sq…
A. \( 5 + \sqrt{65} + \sqrt{58} \)
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36. the area of the surface of the swimming pool is 210 square feet. wh…
12
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find the surface area of this cone. use 3.14 for π. 7 cm 3 cm surface a…
To find the surface area of the cone, we use the formula \( SA = LA + B \), where \( LA \) is the lateral (or curved) surface area and \( B \) is the area of the base. ### Step 1:…
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find the measure of the missing angles. answer attempt 1 out of 2 g = °…
\( g = 130^\circ \), \( h = 50^\circ \), \( k = 88^\circ \), \( m = 92^\circ \) So filling in the boxes: \( g = \boxed{130}^\circ \) \( h = \boxed{50}^\circ \) \( k = \boxed{88}^\…
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law of sines use the law of sines to find the value of y. round to the …
2.5 units
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find the surface area of this cone. use 3.14 for π. cone diagram with 6…
To find the surface area of the cone, we use the formula \( SA = LA + B \), where \( LA \) is the lateral (or curved) surface area and \( B \) is the area of the base. ### Step 1:…
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select the correct answer. for an art project, a cone is covered with p…
D. \( 789\ \text{in}^2 \)
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find the surface area of this cone. use 3.14 for π. 8 m 4 m surface are…
To find the surface area of the cone, we use the formulas: - Lateral Area (LA) = \( \pi r l \) - Surface Area (SA) = LA + B (where B is the area of the base, \( B = \pi r^2 \)) Gi…
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law of sines what is the approximate measure of angle f? use the law of…
$44.4^{\circ}$ (corresponding to the option with $44.4^{\circ}$)
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3. find the perimeter of pentagon j k l m n round to the nearest tenth …
The perimeter of pentagon \(JKLMN\) is \(\boxed{33.8}\).
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1. find the area of the parallelogram. type your answer in the box. are…
54
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use the law of sines to find the value of w. diagram of triangle uvw: a…
4.0 cm
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select the correct answer. the runways at an airport are arranged to in…
C. 10,000 ft
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law of sines triangle diagram: vertices j, k, l; angle at k is 120°, an…
5.1 units
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2. find the perimeter of quadrilateral rstu. round to the nearest tenth…
\(28.3\)
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find the surface area of this cone. use 3.14 for π. 5 cm 3 cm surface a…
To find the surface area of the cone, we use the formula \( SA = LA + B \), where \( LA \) is the lateral (or curved) surface area and \( B \) is the area of the base. ### Step 1:…
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find the surface area of this cone. use 3.14 for π. 5 cm 4 cm surface a…
First, find the lateral area (LA) using \( LA=\pi rl \), where \( r = 4 \) cm and \( l = 5 \) cm. So \( LA = 3.14\times4\times5=62.8 \) \( \text{cm}^2 \). Then, find the base area…
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select the correct answer from each drop-down menu. a designer makes th…
First drop - down: 30 Second drop - down: 20 Third drop - down: 70
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practice - perimeter on the coordinate plane 1. find the perimeter of δ…
27.6
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2025 geometry b wwva w of sines which expression represents the length …
\(\boldsymbol{\frac{(3)\sin(66^{\circ})}{\sin(38^{\circ})}}\) (the first option)
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select all the trapezoids.
The trapezoids are the top - left (red - colored quadrilateral), top - right (blue - colored quadrilateral), and bottom - left (green - colored quadrilateral).
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type the correct answer in the box. use numerals instead of words. if n…
36
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two triangles are similar if their corresponding angles are ____ and th…
equal (or congruent) ### 2. Second Question
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law of sines what is the value of z, rounded to the nearest tenth? use …
3.2 units
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lets try: δjkl has a perimeter of 24 units. determine which ordered pai…
The ordered pairs that could be the coordinates of point \( K \) are \( \boldsymbol{(3, -4)} \) and \( \boldsymbol{(-5, 2)} \).
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polygon g is a scaled copy of polygon f. image of polygon f (with angle…
\(42\)
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law of sines: (\frac{sin(a)}{a} = \frac{sin(b)}{b} = \frac{sin(c)}{c}) …
5.8 units
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triangle z is a scaled copy of triangle y. 2.3 9.5 triangle y 4.6 19 tr…
2
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select all the rhombuses.
The rhombuses are the yellow quadrilateral (all sides 19), the blue quadrilateral (all sides 1), the purple quadrilateral (all sides 22), and the black quadrilateral (all sides 3).
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quadrilateral t is a scaled copy of quadrilateral s. quadrilateral s ha…
\(2\frac{4}{5}\) (or \(\frac{14}{5}\))
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lets try: find the perimeter of qrst. round to the nearest tenth if nec…
The perimeter of \(QRST\) is approximately \(28.5\).
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select all the rectangles.
The red - outlined figure (the first one in the top - left) is the rectangle. If we consider the checkmarks in the original, but based on the definition, only the red figure with …
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a support beam needs to be placed at a 28° angle of elevation so that t…
3.0 meters
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4. what is the value of x in the figure below? (3x - 8)° 109°
\(x = 39\)
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select the correct answer from each drop-down menu. yolanda says she ca…
Yolanda is correct. Since the boulders have a rounded, spherical - like shape, the best shape to model the surface area is a sphere. (For the drop - down menus: First drop - down:…
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lets try: find the perimeter of δabc. round to the nearest tenth if nec…
26.3
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polygon s is a scaled copy of polygon r. image of polygon r (with side …
# Explanation: ## Step1: Recall properties of scaled copies In a scaled copy, corresponding angles are equal, and corresponding side lengths are in proportion (scale factor). So w…
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30.) for the purpose of purchasing lumber for a new fence and seed to p…
(a): The area of the yard is \(486\) square feet and the perimeter is \(108\) feet. ### Part (b)
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select the correct answer. the first attempt of the basic design of a n…
A. \( 1,326 \text{ in}^2 \)
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lets try: find the perimeter of δabc. round to the nearest tenth if nec…
\( 26.3 \) ### Second Problem: Perimeter of \( QRST \) with \( Q(6, 0) \), \( R(-3, -5) \), \( S(-1, 4) \), \( T(2, 0) \)
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polygon s is a scaled copy of polygon r. diagram of polygon r (with sid…
# Explanation: ## Step1: Recall properties of scaled copies In a scaled copy, corresponding angles are equal, and side lengths are scaled by a constant factor. So we need to find …
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type the correct answer in the box. use numerals instead of words. the …
57000
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rectangle z is a scaled copy of rectangle y. image of rectangle y (heig…
\(\frac{1}{2}\)
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triangle c is a scaled copy of triangle b. triangle b: angles 70°, 70°,…
\(40\)
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select the correct answer. the curved sides of large storage tanks at a…
C. \( 2,287\ \text{ft}^2 \)
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1. graph quadrilateral efgh 2. find the length of ef 3. find the length…
To solve the problem of finding the lengths of the sides and the perimeter of quadrilateral \( EFGH \), we need to assume the coordinates of the vertices (since the graph is provi…
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law of sines: (\frac{sin a}{a} = \frac{sin b}{b} = \frac{sin c}{c}) in …
2.3 units and 7.8 units
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select the correct answer from each drop-down menu. a hotel builds an i…
First drop - down (∠D): 60° Second drop - down (height): Approximately 4.33 (or 4.3) feet Third drop - down (area): Approximately 54.13 (or 54.125) square feet (If we assume the h…
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10. what is the slope of the line shown in the graph, given that point …
\(\frac{2}{3}\)
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10 the table below shows the costs of buying concert tickets online. co…
(Part A): (Graph with points \((1, 30)\), \((2, 50)\), \((3, 70)\), \((4, 90)\) plotted and a line drawn through them)
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7. graph the piecewise-defined function. ( y = f(x) = \begin{cases} x +…
The graph consists of two line segments: - For $x < 0$, the line $y=x + 6$ (open circle at $(0,6)$) with slope $1$. - For $x\geq0$, the line $y = 6 - x$ (closed circle at $(0,6)$)…
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find the surface area of this square pyramid. (image of square pyramid …
To find the surface area of the square pyramid, we use the given formulas: 1. **Lateral Area (LA)**: \( LA = 2bl \) - The base \( b = 5 \, \text{m} \) (side of the square base). -…
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5 right triangle mnp is shown below. side $overline{np}$ lies on line $…
Points \( M \), \( N \), and \( M' \) are collinear because \( N \) lies on the line of reflection \( l \), and a reflection over \( l \) implies \( l \) is the perpendicular bise…
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find the surface area of this square pyramid. surface area of a pyramid…
To find the surface area of the square pyramid, we use the formulas provided: \( LA = 2bl \) (lateral area) and \( SA = LA + B \) (surface area, where \( B \) is the area of the b…
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find the surface area of this square pyramid. image of square pyramid w…
To find the surface area of the square pyramid, we use the given formulas: 1. **Lateral Area (LA)**: \( LA = 2bl \) - \( b = 4 \) cm (base edge length), \( l = 6 \) cm (slant heig…
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find the surface area of this square pyramid. surface area of a pyramid…
First, find the lateral area (LA) using \( LA = 2bl \). Here, \( b = 5 \) cm (base edge) and \( l = 8 \) cm (slant height). So \( LA = 2\times5\times8 = 80 \) \( \text{cm}^2 \). T…
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the given figure is a cylinder. the radius of the cylinder is 14.9 mill…
The volume of the cylinder is approximately \( 23212.81 \) cubic millimeters.
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the amount of money irone earns for walking dogs is shown in the table …
s: - Irene earns \(\boldsymbol{\$78.75}\) for walking 15 dogs. The equation is \(\boldsymbol{y = 5.25x}\). - Concert Tickets Part A: Graph with points \((1,30)\), \((2,50)\), \((3…
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law of sines (partially visible) triangle qrs with vertex r (100°), sid…
\(\boldsymbol{\frac{\sin(100^\circ)}{3.5}=\frac{\sin(S)}{2.4}}\) (the second option)
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find the surface area of this square pyramid. surface area of a pyramid…
To find the surface area of the square pyramid, we use the given formulas: 1. **Lateral Area (LA)**: \( LA = 2bl \) - The base edge \( b = 4 \) cm, and the slant height \( l = 8 \…
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type the correct answer in the box. use numerals instead of words. the …
5.05
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select the correct answer. christi is using a display box shaped like a…
C. \( 1,020\ \text{cm}^2 \)
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part b circle the answer choice in each box to make each statement true…
32
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applying the law of sines to multiple triangles a surveyor found the an…
The correct measurement is \( \boldsymbol{m\angle B = 15^{\circ}} \) (and we can see that \( m\angle A = 57^{\circ} \) and \( h\approx8.09\mathrm{ft} \) are incorrect. Since we ne…
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you buy a new pencil in the school store. the unsharpened pencil is a c…
The volume of the pencil is approximately 7137.41 cubic millimeters.
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algebra 2 homework: review of inequ solve each inequality and graph its…
The solution to the inequality \(-5x + 3x \geq -10\) is \(x \leq 5\). To graph this, we draw a number line, place a closed circle at \(5\) (since the inequality is "less than or e…
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part ii (...) the new ratio of the number of pennies in jar a to the nu…
12
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applying the law of sines to multiple triangles a surveyor found the an…
The two correct answers are: - \( m\angle B = 15^\circ \) - \( m\angle A = 57^\circ \)
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how many distinct triangles can be formed for which ( mangle e = 64^cir…
First problem: 1 triangle. Second problem: 0 triangles.
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show or briefly describe how two copies of it can be composed into a pa…
To determine how two copies of a triangle can form a parallelogram, we can use the properties of triangles and parallelograms. Here's a step - by - step explanation: ### Step 1: R…
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35. solve for x. triangle with angle 48°, and sides/angles labeled 11x …
\(x = 7\)
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select the correct answer from each drop - down menu. a toy chest is sh…
The bottom part of the chest is best modeled by a rectangular prism because each face is a rectangle. For the top part, assuming the top part is a rectangular prism with some face…
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determining the number of possible triangles how many distinct triangle…
First triangle: \(\boxed{1}\) Second triangle: \(\boxed{1}\)
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1. in the diagram below, $\\triangle def$ has been reflected in line $t…
The marked points are the midpoints of \( \overline{DD'} \), \( \overline{EE'} \), and \( \overline{FF'} \) (line \( t \) is the perpendicular bisector of each segment). ### Probl…
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select the correct answer from each drop - down menu. a toy chest is sh…
The bottom part of the chest is best modeled by \(\boldsymbol{\text{rectangular prism}}\) because each face is a \(\boldsymbol{\text{rectangle}}\) (assuming the second drop - down…
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34. solve for x. triangle with 75° angle and two sides/angles labeled (…
\(x = -7\)
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applying the law of sines to a real-world problem ships a and b are 1,4…
The distance from ship A to the submarine is about \(\boldsymbol{1084.18}\) feet. The distance from ship B to the submarine is about \(\boldsymbol{1270.69}\) feet.
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select the correct answer. a new toy comes in the shape of a regular he…
D. 14 inches
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6. square rstu with vertices r(0, 3), s(5, 4), t(6, -1), and u(1, -2) i…
\(R'(-2, 3)\) \(S'(-7, 4)\) \(T'(-8, -1)\) \(U'(-3, -2)\)
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a triangle has vertices at l(2, 2), m(4, 4), and n(1, 6). the triangle …
The rule for the transformation is \((x,y)\to(-x,-y)\), The coordinates of \(L'\) are \((-2,-2)\), The coordinates of \(N'\) are \((-1,-6)\) (i.e., the first, second, and fifth op…
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triangle xyz is rotated to create the image triangle xyz. which rules c…
\( R_{0, 180^\circ} \), \( (x, y) \to (-x, -y) \)
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33. solve for x.
\(x = - 6\)
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a triangle has vertices at r(1, 1), s(-2, -4), and t(-3, -3). the trian…
\((-4, 2)\) (corresponding to the first option: \(\boldsymbol{(-4, 2)}\))
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enter the coordinates of the image after △jkl is rotated 90° counterclo…
- \(J'\): \((-4, -2)\) - \(K'\): \((-2, -2)\) - \(L'\): \((-2, -4)\)
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quadrilateral abcd is transformed according to the rule (x, y) → (y, -x…
\( R_{O,270^\circ} \) (the option corresponding to \( R_{0,270^\circ} \) in the given choices)
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a right triangle has one angle that measures 37°. what is the measure o…
\(53\)
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29. classify by side and angle.
By side: Isosceles triangle (two sides of length 2.5 are equal). By angle: Obtuse triangle (has one angle \(128^\circ\) which is obtuse). So the triangle is an isosceles obtuse tr…
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enter the coordinates of the image after △jkl is reflected across the x…
\(J'(-2,-4)\), \(K'(-2,-2)\), \(L'(-4,-2)\)
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solving for all unknown measures in a triangle determine the measures o…
\( m\angle R = 50^\circ \), \( PR \approx 5.74 \), \( PQ \approx 8.53 \)
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28. classify by side and angle.
By angle: Right triangle; By side: Scalene triangle
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determining the number of possible triangles in △mno, m = 20, n = 14, a…
There is only one distinct triangle possible, with $m\angle N\approx33^{\circ}$.
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5. triangle jkl with vertices j(1, -1), k(2, 3), and l(3, -2) in the li…
\(J'(7, -1)\) \(K'(6, 3)\) \(L'(5, -2)\)
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27. classify by side and angle.
By side: Scalene Triangle (all sides \(6.1\), \(7.4\), \(8.7\) are different). By angle: Acute Triangle (all angles \(57^\circ\), \(79^\circ\), \(44^\circ\) are acute (less than \…
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which single transformation maps △jkl onto its image? choose all that a…
# Explanation: ## Step1: Analyze Translation First, check vertical translation. The top triangle's vertices and bottom triangle's vertices: the vertical distance between correspon…
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a. select all quadrilaterals that you think can be decomposed into two …
B, C, D (select the figures labeled B, C, and D, as they are parallelograms/rectangles whose diagonals split them into two identical triangles).
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26. solve for x. (x + 15)° (3x + 1)°
\(x = 41\)
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guided practice proving angles congruent given: ∠x and ∠y are right ang…
A. 90
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determining unknown measures what is the measure of angle e? m∠e = 55 w…
The length of \(\overline{EF}\) is \(12.49\).