幾何
三角形、円、座標幾何、証明問題。
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explore the properties of reflection by following these steps. ☑️ the a…
\( m\angle AJK = \boldsymbol{90}^\circ \), \( m\angle BKJ = \boldsymbol{90}^\circ \), \( m\angle CLJ = \boldsymbol{90}^\circ \)
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name handwriting read and write the heart words. you was what have your…
mall, golf, small, hall, rolls, tall
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word search: math terms addition degree horizontal scientific algebra p…
To solve this word search for math terms, we systematically check each listed term against the grid: ### Step 1: Identify Found Terms Looking at the grid (with circled words) and …
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2.1 conditional statements (pp. 107-120) learning target: understand an…
To solve these problems, we'll address each one by one, focusing on understanding conditional statements and diagram - related statements. ### Problem 1: "Two lines intersect in a…
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8. mr. coffman asked his students to write an example of a square root …
Dean (for \( \sqrt{122}\approx11.045 \), \( 11 < 11.045<11.5 \)) and Candace (for \( \sqrt{130}\approx11.401 \), \( 11 < 11.401<11.5 \)) completed the task correctly. If we have t…
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what is the area of the polygon? a 17 square units b 18 square units
A. 17 square units
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finding area by counting square units mastery check what is the area of…
B. 38 square units
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partially visible text: left side appears to have describe the shape? e…
The area of the L - shaped figure is 4 (assuming the side length of each small square is 1 unit).
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finding area by counting square units mastery check find the area of th…
B. 30 square units
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find the area of the polygon. square units
18
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find the area of the polygon. a 33 square units b 45 square units
A. 33 square units
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5. tristan wants to build a square garden in his backyard that will cov…
Tristan does not have enough material. The side length of the square garden with area 75 \( \text{ft}^2 \) is \( \sqrt{75}\approx8.66 \) ft, so the perimeter is \( 4\times8.66 = 3…
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11. $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel …
\( \angle JHK \) and \( \angle LKH \) ### Problem 12 (Parallel Lines)
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quadrilateral a has side lengths 6, 9, 9, and 12. quadrilateral b is a …
The perimeter of Quadrilateral B is 12.
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here are 3 polygons. draw a scaled copy of polygon a using a scale fact…
To solve, follow these steps for each polygon: 1. **Polygon A (Scale Factor 2)**: Measure original side lengths, double each length, and redraw the triangle with equal angles. 2. …
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what is the surface area? 10 in, 7 in, 5 in (diagram of a net, handwrit…
The surface area is 310 square inches.
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perimeter by measuring lengths ted practice enter the perimeter. image …
40
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nd perimeter by measuring lengths pported practice enter the perimeter.
26 cm
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a trapezoid with a dotted pattern is shown, accompanied by three rulers…
If we assume the height is 5 cm, the area of the trapezoid is $\boldsymbol{40}$ square centimeters (or depending on the correct height measurement, but with the given information,…
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use the binomial theorem to expand the binomial, ((x - 4y)^4) select on…
b. $x^{4}-16x^{3}y + 96x^{2}y^{2}-256xy^{3}+256y^{4}$
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the angle of rotation, θ, is a(n) options: double, acute, obtuse, negat…
acute
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given the following equation, identify the correct graph for the hyperb…
A
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when testing a polar equation for symmetry, there are three types of sy…
- For symmetry about the polar axis: replace $\theta$ with $-\theta$ - For symmetry about the line $\theta=\frac{\pi}{2}$: replace $r$ with $-r$ and $\theta$ with $-\theta$ (or eq…
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soni inscribed a hexagon in a circle. at exactly how many points do the…
6
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what is the first step when inscribing a square, equilateral triangle, …
Draw a circle around a diameter.
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the ratio of the radii of two circles is 2 : 3. the diameter of the sma…
22.50 mm
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the circumferences of two circles are in the ratio of 2 : 5. the radius…
40 in.
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when graphing a parabola, the focus is defined as a . located the parab…
To solve the problem about the focus and directrix of a parabola: ### For the focus: - A parabola's focus is a **point** (from the options: vector, line, plane, point) located **i…
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find \\(\\vec{u} - \\vec{v}\\), given that \\(\\vec{u} = \\langle -1, 4…
b. $\langle -4, 8, 6 angle$
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the ratio of the diameters of two circles is 3 : 5. the circumference o…
67.9 m
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the ratio of the diameters of two circles is ( y : z ). what is the sca…
\(\frac{y}{z}\)
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find the angle between the following two vectors: (vec{a} = langle -5, …
b. \( 157^\circ \)
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construct regular polygons the diagram shows the partial construction o…
a regular hexagon inscribed in a circle
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match each polar equation with its correct shape. r = a² sin(2θ) lemnis…
- \( r = a^{2}\sin(2\theta) \): lemniscate - \( r = a \pm b\sin\theta \): limacon - \( r = a\cos\theta \): circle - \( r = a\cos(n\theta) \): rose
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match each polar equation with its correct shape. r = a² sin(2θ) choose…
1. \( r = a^{2}\sin(2\theta) \): lemniscate 2. \( r = a \pm b\sin\theta \): limacon 3. \( r = a\cos\theta \): circle 4. \( r = a\cos(n\theta) \): rose
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a student began constructing a regular hexagon inscribed in a circle by…
The student should construct two arcs that pass through the center of the circle - one with center at M and one with center at N.
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construct a square the diagram shows a step in the construction of what…
square
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match the appropriate value for the denominators of ( x^2 ), and ( y^2 …
Denominator for \( y^2 \): 64 Denominator for \( x^2 \): 16
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you are given two circles. one circle has a radius of x and the other h…
The scale factor is \( \frac{x}{y} \). The ratio of the diameters is \( \frac{x}{y} \). The ratio of the circumferences is equal to the ratio of the radii.
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given the equation of the circle below, find the center and radius. ((x…
The center is: \((-1, 0)\) The radius is: \(2\)
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you are given two circles. one circle has a radius of x and the other h…
Scale factor: x:y Ratio of diameters: x:y Ratio of circumferences: x:y Ratio of radii: x:y
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if your teacher gave you instructions for constructing a regular pentag…
five angles, inside
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given the image of pascals triangle below, if you kept writing out the …
c. 1, 9, 36, 84, 126, 126, 84, 36, 9, 1
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the cross product of two 3d vectors will always produce a vector that i…
orthogonal
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solve for x.
To solve for \( x \), we first recognize that \( DE \parallel FG \) (since they are horizontal lines) and \( BC \) is a transversal. The angle \( (7x + 18)^\circ \) and the \( 81^…
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find the measure of ∠ost. diagram: horizontal lines op (o---s---p) and …
First, we know that lines \( OP \) and \( QR \) are parallel (since they are both horizontal and cut by the transversal \( MN \)), and \( \angle OST \) and the angle \( (15x + 12)…
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solve for x.
To solve for \( x \), we recognize that \( LM \parallel NO \) (since they are parallel lines cut by a transversal \( JK \)), so the alternate interior angles \( (5x - 30)^\circ \)…
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solve for x.
To solve for \( x \), we recognize that lines \( LM \) and \( NO \) are parallel, and \( JK \) is a transversal. The angles \( (4x + 54)^\circ \) and \( (126 - 2x)^\circ \) are co…
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find the measure of ∠hkj. diagram: lines ( fg ) (with points ( f, j, g …
To find the measure of \( \angle HKJ \), we first recognize that lines \( FG \) and \( HI \) are parallel (since they are both horizontal and cut by a transversal \( DE \)). The a…
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30. a large cube has a side length of 10 meters. inside this large cube…
A) \( 901 \, \text{m}^3 \) ### Question 31
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26. ignoring (as the real clt does on questions like this!) the fact th…
D. A circle with a radius of 4.0. ### Question 27
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21. suppose points a and b lie on the outside of a circle, separated by…
B) The diameter of the circle is 8 meters. ### Question 22
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find the value of x. diagram: vertical line with points a (top), d (mid…
Since \( \angle ADB = 2x^\circ \) and \( \angle CDB = (4x - 6)^\circ \) form a linear pair (they are adjacent angles on a straight line \( AC \)), their sum is \( 180^\circ \). So…
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find the value of x. diagram: horizontal line ab with f at center. from…
To find the value of \( x \), we note that the sum of the angles around a straight line (which is \( 180^\circ \)) is equal to the sum of the four angles given, each of measure \(…
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find the value of x. x =
To find the value of \( x \), we use the fact that the sum of angles around a point is \( 180^\circ \) for a straight line (or \( 360^\circ \) for a full circle, but here we consi…
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17. suppose the top and bottom sides of the rectangle below have a leng…
B) \(14\sqrt{20}\) ### Question 18
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look at the diagram. diagram showing angles at point s: ∠psq is 71°, ∠q…
Equation: \( 11x - 6 = 71 \) \( x = 7 \) (Step-by-step for equation: From the diagram, the sum of \( 2x^\circ \) and \( (9x - 6)^\circ \) equals \( 71^\circ \), so \( 2x + 9x - 6 …
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15. suppose the two triangles depicted below are similar (pictures are …
B) 13.3 ### Question 16
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look at the diagram. diagram with points w, q, u, t, r, s; angles: ∠qw …
To determine the equation: - Angles around a straight line sum to \( 180^\circ \). The angles \( 72^\circ \), \( 5x^\circ \), and \( 38^\circ \) lie on a straight line, so their s…
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10. which of the following is equal to \\((xy^2)^3\\)? a) \\(x^3y^5\\) …
B) \(x^3y^6\) ### Question 11
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look at the diagram. which equation can be used to solve for x? 6x - 6 …
(Equation): \( 6x - 6 = 90 \)
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4. eden is counting the trees on her property. she knows her grandfathe…
A) 24 ### Question 5
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look at the diagram. which equation can be used to solve for x? 3x + 90…
(for the equation): \( 3x + 96 = 111 \) ### Part 2: Solve for \( x \)
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clt preparation mathematics / quantitative reasoning practice problems …
C) 16 ### Problem 2
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look at the diagram. which equation can be used to solve for x? 39x = 9…
The equation to solve for \( x \) is \( 3x + 36 = 90 \), and \( x = 18 \).
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look at the diagram. which equation can be used to solve for x? 17x + 3…
(Equation): The equation to solve for \( x \) is \( 12x + 42 = 90 \)
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look at the diagram. diagram with points a, b, c, d, g; angle 140° and …
\( 3x + 139 = 180 \) ### Part 2: Solve for \( x \)
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what is the area of this rectangle? 2x² + 6x + 8; 8x² + 14x + 6; 8x² + …
\(8x^{2}+14x + 6\)
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look at the diagram. which equation can be used to solve for x? 6x - 72…
\( 6x - 4 = 68 \) ### Part 2: Solve for \( x \)
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look at the diagram. diagram: intersecting lines with points r, s, t, u…
\( 6x - 4 = 68 \) ### Part 2: Solve for \( x \)
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exam lesson name: world regions in the ear exam number: 700692rr exam g…
A. Sale of sugar from the Americas to Europe
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the bearing from city a to city b is n 49° e. the bearing from city b t…
The distance from City A to City C is approximately 116.93 miles.
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fill in each blank so that the resulting statement is true. the axes of…
The axes of the rectangular coordinate system divide the plane into regions, called \(\boldsymbol{quadrants}\). There are \(\boldsymbol{4}\) of these regions.
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fill in each blank so that the resulting statement is true. in the rect…
origin
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fill in each blank so that the resulting statement is true. in the rect…
x - axis
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5 note: figure not drawn to scale if x is a positive integer in the rig…
\(4\)
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6 from unit 1, lesson 3 in this diagram, line segment cd is the perpend…
Point \( M \) is the same distance from both points \( A \) and \( B \) because \( M \) lies on the perpendicular bisector of \( AB \), and the conjecture states that points on th…
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write a two - column proof. given (overrightarrow{bd}) bisects (angle a…
The two - column proof as shown above proves that \(m\angle DBA=\frac{1}{2}m\angle ABC\) given that \(\overrightarrow{BD}\) bisects \(\angle ABC\).
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find h as indicated in the figure. h= (round to the nearest integer as …
\(352\)
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5 from unit 1, lesson 2 in the construction, a is the center of one cir…
Segment \( EA \) and \( BC \) are equal because \( EA \) and \( AC \) are radii of the circle with center \( A \) (so \( EA = AC \)), and \( AC \) and \( BC \) are radii of the ci…
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4 from unit 1, lesson 4 a, b, and c are the centers of the three circle…
B. CD
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3 from unit 1, lesson 4 this diagram is a straightedge and compass cons…
Quadrilateral \( ACBD \) is a rhombus because \( AC \), \( AD \) are radii of the circle centered at \( A \) (so \( AC = AD \)), \( BC \), \( BD \) are radii of the circle centere…
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2 this diagram is a straightedge and compass construction. select all t…
D. Line EF is the perpendicular bisector of segment BD.
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lesson practice problems 8 problems 1 this diagram is a straightedge an…
Making \( A \) and \( D \) equidistant from \( C \) (so \( C \) is the midpoint of \( AD \)) allows constructing the perpendicular bisector of \( AD \) (via circle intersections).…
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a rectangular playing field is 18km wide. it is surrounded by a path 6m…
The length of the field is \( 60 \) km.
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question: what does the word england mean? answer options: select one o…
Land of the Angles
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the angle of depression of boat from the mid-point of vertical cliff is…
The height of the vertical cliff is 280 meters.
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assume that the set of given information is true. use the law of detach…
B. The quadrilateral is a parallelogram.
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16. solve the inequality. represent the solution on the number line. -2…
The solution to the inequality \(-2x + 4>-5(4 + 2x)\) is \(x > - 3\). To represent this on the number line, we draw an open circle at \(-3\) (since \(x\) is not equal to \(-3\)) a…
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assume that the set of given information is true. use the law of syllog…
G. If a baby is feeling nauseous, then the baby must be brought to the physician's office.
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an air duct in a stadium has a circular cross section with a radius of …
274.89
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lt 1d – i can solve problems using triangle proportionality the figures…
\(6\)
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15. the equilateral triangle and the square have the same perimeter. im…
\( x = 12 \) ### Part (b)
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an air duct in a stadium has a circular cross section with a radius of …
The volume of the duct is approximately $\boldsymbol{171.77}$ cubic feet, and the amount of paint needed (lateral surface area) is approximately $\boldsymbol{274.89}$ square feet.…
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charlie made it clear that he wanted friends more than anything. how ha…
Finding Sam and Patrick helped Charlie grow comfortable in his first year of high school in several ways. Sam and Patrick included Charlie in their social circle, introducing him …
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an air duct in a stadium has a circular cross section with a radius of …
(Volume): $\approx 171.77$ cubic feet
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6. using ratios an entrepreneur wants to rent a billboard at least 30 f…
No, the billboard is not tall enough.
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use the formulas in the table to the right to answer the following ques…
7000 cubic meters
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find the perimeter and area of the accompanying triangle. the perimeter…
The area of the triangle is 108 square units.
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finding the volume of a rectangular box, l=1, w=2, h=3 6 8 12 find the …
6 ### Second Sub - Question: Find the volume of a rectangular box, \(L = 2\), \(W = 3\), \(H = 4\)