幾何
三角形、圓、解析幾何與證明題。
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10 - 12. what is the value of x in each diagram below? homework help a.…
(10-12): a. $x \approx 46.3$ b. $x \approx 8.2$ --- ### 10-13: Write equations for each trigonometric graph We use the general sinusoidal form: $y = A\sin(B(x-C)) + D$ or $y = A\c…
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a) $a = \\dfrac{1}{2}, b = \\sqrt{3}$ b) $a = \\dfrac{3}{2}, b = \\dfra…
C) $a=\sqrt{3}$, $b=1$
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test prep a rhombus has sides of length ( x + 6 ) inches and a perimete…
$\boldsymbol{4(x + 6) = 49}$ (Option 3)
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1. simplify: \\(\\frac{24x^{5}y^{8}}{3x^{-3}y^{2}}\\). 2. write an expr…
\(8x^8y^6\) ### Problem 2
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9) a) $x=\\frac{7\\sqrt{6}}{6}, y=7$ b) $x=7, y=\\frac{7\\sqrt{2}}{2}$ …
B) $x = 7$, $y = \frac{7\sqrt{2}}{2}$
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factor to find all x-intercepts of the function.\\( f(x) = x^4 - 3x^3 +…
The x - intercepts of the function are \(x = 0\) and \(x = 3\). If we consider the boxed answer (for one of them, but since there are two real x - intercepts), if we take \(x = 0\…
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find the missing length u, m, t are on a line segment with um = 28, ut …
18
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determining a missing length t -------(3x - 4)------- s ------- r (4x +…
\( \boldsymbol{x + 5} \) (corresponding to the option "x + 5")
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reflections figure abcdef was reflected across the line ( y = -x ) to c…
# Explanation: ## Step1: Recall reflection over \( y = -x \) The rule for reflecting a point \((x, y)\) over the line \( y = -x \) is \((x, y) \to (-y, -x)\). This means to find t…
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figure b is a scaled copy of figure a. what is the scale factor from fi…
0.25
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figure b is a scaled copy of figure a. what is the scale factor from fi…
3
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find each angle measure for rhombus abcd. 18. ( mangle acd ) 19. ( mang…
45
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the area of rectangle wxyz is 115.5 in². what is the perimeter of △xyz?…
The perimeter of \( \triangle XYZ \) is approximately \( 36.71 \, \text{m} \) (or if exact, \( 10.5 + 11 + \sqrt{231.25} \), but likely the values are \( XY = 10.5 \), \( YZ = 11 …
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area of rectangle $a = l\\cdot w$ what is the surface area of the three…
52
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measuring segments use the interactive ruler to determine the lengths o…
Segment AB measures 2 units. Segment BD measures 8 units. Segment BC measures 6 units (assuming the slant length, but based on the dropdown and diagram, likely 6; however, if the …
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question from the observation deck of a skyscraper, parker measures a 4…
$897.38$ feet
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question nubhitha leans a 26 - foot ladder against a wall so that it fo…
12.60 feet
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question faith wants to use a sheet of fiberboard 24 inches long to cre…
10.5 inches
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what is the value of x? 12 units 25 units 15 units 20 units
12 units
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sydney wants to use a sheet of fiberboard 36 inches long to create a sk…
12.31 inches
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7-3 enrichment proving triangles similar complete the proofs. 1. given:…
### Proof 1: | Statement | Reason | |-----------|--------| | 1. ABCD is a trapezoid. | 1. Given | | 2. $\overline{AD} \parallel \overline{BC}$ | 2. Definition of a trapezoid | | 3…
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a right triangle has one angle that measure $23^{circ}$. the adjacent l…
\(161.8\space cm^2\)
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name each of the following regular polygons. determine the sum of inter…
To solve this, we'll analyze each regular polygon by counting its sides, naming it, then using the formulas for the sum of interior angles (\(S = (n - 2) \times 180^\circ\)) and t…
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21 select the correct answer from each drop - down menu. the center of …
The measure of $\angle ADO$ is $90^\circ$. both angles CGF and DGE are equal to $\frac{1}{2}(m\widehat{CF} + m\widehat{DE})$.
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question from the observation deck of a skyscraper, aaliyah measures a …
375 feet
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which equation can be used to find the length of \\(overline{ac}\\)? \\…
$\boldsymbol{(10)\sin(40^\circ) = AC}$ (the option with this equation)
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select the correct answer arc xy located on circle a has a length of 40…
A. 4
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the lengths of two sides of a right triangle are 5 inches and 8 inches.…
3.2 inches
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select the correct answer. in the given figure, ( mwidehat{hj} = 106^ci…
A. The measure of $\angle$G is 21°, and triangle FGH is isosceles.
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which classification best represents a triangle with side lengths 10 in…
acute, because \(10^{2}+12^{2}>15^{2}\)
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18 select the correct answer. what is the area of the shaded portion of…
A. $\frac{56}{9}\pi$
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pretest: circles the transportation department has to put a railing alo…
C. 86 feet
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use the diagram below to answer the questions. which are shown on the d…
\(\boldsymbol{\overrightarrow{KM}}\), \(\boldsymbol{\overrightarrow{JK}}\), \(\boldsymbol{\overrightarrow{PK}}\), \(\boldsymbol{\angle LJK}\)
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point o is the center of this circle. what is ( mangle bca )? a. ( 56^c…
B. $62^\circ$
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select the correct answer. which equation represents a circle with cent…
D. $(x+3)^2 + (y-5)^2 = 16$
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for a circle defined by the given equation, what are the coordinates of…
B. center: (2,5) radius: 3 units
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select the correct answer. circle f is represented by the equation $(x …
A. 3
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select the correct answer. segment pq is tangent to the circle at point…
C. $(PQ)^2 = (PR)(PS)$
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11 the length of an arc of a circle is \\(\\frac{26}{9}\\pi\\) centimet…
D. 8 cm
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select the correct answer from each drop - down menu. in a circle with …
The radian measure is 0.57, and the sector area is 14 square feet.
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10 select the correct answer from each drop - down menu. in a circle wi…
The radian measure of the central angle is $\boldsymbol{0.57}$. The area of the sector formed by the arc is $\boldsymbol{14}$ square feet.
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practice applying the slope - intercept form of an equation. which grap…
The third graph (bottom-left option, crossing y-axis at (0,-2) with positive slope)
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select the correct answer. what is the length of \\(\\overline{rs}\\)? …
C. 16
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8 type the correct answer in each box. assume π = 3.14. round your answ…
The radius of the circle is 8 units, and $m\overset{\frown}{AB}$ is 4.2 units.
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the area of three squares is 48 square centimeters. whats a good estima…
The area of the circle is a little more than 48 square centimeters.
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now, lets look at three squares. if the area of one square is 16 square…
$48$ square centimeters
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select the correct answer from the drop - down menu. in the figure, oa …
$\frac{R^2}{r^2}$ (matches the option $R^2/r^2$)
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select the correct answer. in the diagram, (overline{ac}) is a diameter…
B. $40^\circ$
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which defines a circle? two rays with a common endpoint a piece of a li…
D. all coplanar points equidistant from a given point
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which pair of undefined terms is used to define a ray? line and plane p…
D. point and line
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the mounting bracket shown was purchased at a hardware store. find the …
$\frac{11}{30}$
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1. simplify: \\(\\frac{14a^{4}b^{5}c^{-10}}{8a^{-3}b^{4}c^{-5}}\\)\ 2. …
\(\frac{7a^{7}b}{4c^{5}}\) ### Problem 2: Find the width of the rectangle
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select the correct answer. which point lies on the circle represented b…
B. (-7,-3)
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investigating the slope of the line use the slider to change the value …
1. As the value of \(m\) changes from 1 to 3, the graph gets steeper 2. As the value of \(m\) changes from -6 to -1, the graph gets less steep 3. When the slope of the line is neg…
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an equilateral triangle has side lengths that measure ( x + 4 ) inches.…
$3(x + 4) = 18.6$
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which pair of angles shares ray af as a common side? - $\\angle daf$ an…
D. \( \angle BAF \) and \( \angle FAD \)
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which pair of undefined terms is used to define the term parallel lines…
B. plane and line
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which is the definition of a ray? a part of a line that has one endpoin…
A. a part of a line that has one endpoint and extends indefinitely in one direction
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drag each tile to the correct box. paul orders 3 different sizes of piz…
slice from pizza 1 < slice from pizza 2 < slice from pizza 3
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which is the endpoint of a ray? ○ point r ○ point s ○ point t ○ point u
point S
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which undefined term can contain parallel lines? line plane point ray
B. plane
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circle the points on the graph to prove your answer! what is the x - in…
B. (5, 0)
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which is the definition of a line segment? a figure formed by two rays …
D. a part of a line that has two endpoints (Note: Assuming the options are labeled A, B, C, D in order. If original labels differ, adjust accordingly, but based on the order, the …
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select the correct answer. what is the value of x in the triangle? tria…
A. $10\sqrt{2}$
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relating geometric definitions explain how rays ab and ac form both a l…
- Angles are rays with a shared endpoint. - Lines extend forever in either direction. - Rays AB and AC extend forever in either direction.
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18 drag each length to the correct location on the triangle. each lengt…
- Side BC: $5\sqrt{2}$ - Side AC: 10
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5. name the type of angles given for each of the following. 1) ∠p and ∠…
1) $\angle P$ and $\angle R$ are linear pair (or adjacent angles forming a linear pair) 2) $\angle 3$ and $\angle P$ are corresponding angles (Note: Depending on the diagram's exa…
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find the slope of the line passing through the points (-5, -2) and (3, …
\(-\frac{7}{8}\)
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write the coordinates of the vertices after a dilation with a scale fac…
$S'(-10, -5)$ $T'(5, -5)$ $U'(5, 5)$ $V'(-10, 5)$
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select the correct answer. what is the value of x? （there is a right tr…
A. 10.6
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d(\\square, \\space ) e(\\space, \\space ) f(\\space, \\space )
If we assume translation 12 units right, \( D'(4,2) \) (but more context is needed for \( E' \) and \( F' \))
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
$BC \longrightarrow 7\sqrt{2}$ $BD \longrightarrow 7$
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select the correct answer. nancy is planting cucumbers in a small garde…
C. 49
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relating geometric definitions explain how rays ab and ac form both a l…
Rays \( AB \) and \( AC \) form a line because they are collinear (lie on a straight path) and extend infinitely in opposite directions (through \( B \) and \( C \) from \( A \)).…
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select the correct answer. rounded to the nearest tenth, what is the ar…
C. 35.1 square feet
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find the following measurements. base = \\square units height =? units
base = 10 units, height = 15 units
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8) the figure shows a pair of parallel lines cut by a transversal. 9) w…
1. The three congruent angles to ∠2 are: ∠4, ∠6, ∠8 2. When a transversal cuts parallel lines, the **alternate exterior** angles are congruent.
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select the correct answer. tobias wants to add a wooden trim to a trian…
A. 14.2 ft
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4) the figure shows a pair of parallel lines cut by a transversal. whic…
$\angle 4$, $\angle 6$, $\angle 8$
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reasoning about definitions and properties of geometric figures determi…
### Problem 2: # Explanation: ## Step1: Recall the definition of perpendicular lines Perpendicular lines are lines that intersect at a right angle ($90^\circ$). By the definition …
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type the correct answer in each box. use numerals instead of words. ava…
The distance from Maria to Ava is 15.7 feet. The distance from Lucas to Maria is 10.1 feet. The angle formed at Maria's position measures 50 degrees.
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type the correct answer in the box. what trigonometric expression can b…
$\frac{12}{\tan(25^\circ)}$
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select the correct answer. the shortest side of a right triangle measur…
C. $6\sqrt{3}$
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• parallelogram: base = 10 units, height = 4 units • rectangle: length …
The area of the parallelogram is 40 square units. The base and height of the parallelogram are the same as the length and width of the rectangle.
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find the following measurements. parallelogram: base = 10 units height …
40
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drag each length to the correct location on the triangle. each length c…
The missing side lengths are 4 (opposite the 30° angle) and 8 (the hypotenuse).
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reasoning about definitions and properties of geometric figures determi…
s: 1. always 2. always 3. always
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select the correct answer. an observatory is 150 feet high. when a pers…
C. 322 feet
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i am a solution. if you take my x - coordinate and cube it, you will fi…
My graph is **F** My equations are $\boldsymbol{y = x^3}$ and $\boldsymbol{y = -x + 2}$
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identifying geometric figures which geometric figures are drawn on the …
\(\overline{CA}\), \(\overrightarrow{CA}\), \(\odot C\), \(\angle BCE\) (the checkboxes for these options should be selected)
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type the correct answer in the box. use numerals instead of words. a ri…
10.9
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contrasting parallel and perpendicular lines the definition of parallel…
A. Parallel lines do not intersect. B. Parallel lines must be coplanar. C. Perpendicular lines intersect at one point. D. Perpendicular lines intersect so plane is not required in…
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select the correct answer. what is the height, x, of the equilateral tr…
A. \(7\sqrt{3}\) inches
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find an equation for the line below.
The equation of the line is \(y=\frac{1}{2}x+\frac{7}{2}\) (or \(y = 0.5x+3.5\))
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ade the area or areas of the venn diagram that represent ( a cap b ).
Shade the region of circle $A$ containing the numbers 3, 8, and 15 (the non-overlapping section of circle $A$).
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are these triangles similar? h 33° i 100° j t 38° r 100° s yes no
no
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analyzing rays and segments which statements are true regarding the dia…
- Ray \( AD \) is the same as ray \( AC \). - \( \angle EAD \) is created from \( \overrightarrow{AE} \) and \( \overrightarrow{DA} \). - \( \angle ECB \) is created from \( \over…
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select the correct answer. on a map where each unit represents one kilo…
B. $2\sqrt{29}$ kilometers
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19. find the perimeter and area of this parallelogram. dimensions are i…
- Perimeter: \( 60 \) millimeters - Area: \( 210 \) square millimeters - (Bonus) Name: Rhombus ### Problem 20 (Triangle)
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the undefined terms line and plane are needed to precisely define which…
C. parallel lines