几何
三角形、圆、解析几何与证明题。
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64. biology a biologist wants to know the width ( w ) of a river. from …
The width of the river is approximately \(\boldsymbol{137.64}\) feet.
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a fish tank is in the shape of a cube. the volume of the tank is 64 cub…
48 inches
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3) figure a and its image after a transformation, figure a, are shown o…
C. a reflection over the y - axis
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12. leo’s garden, which is 6 m wide, has the same area as jen’s garden,…
Jen's garden length: \( 9 \, \text{m} \), Leo's garden length: \( 12 \, \text{m} \)
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4a) mg=7x-15, fg=33, x=?
$\frac{48}{7}$ (or approximately 6.86)
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congruence transformations hw pt. 2 (show all work!) 1) figure a and it…
A. reflection over the x - axis
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the graph shows a cyclist’s journey, from home, to the next big city an…
1.5 hours
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the volume of a rectangular box is $2x(2x + 4)(2x - 2)$. (drawing is no…
A. The volume is the product of the area of the base, \( 2x(2x + 4) \), and the height, \( 2x - 2 \).
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find the distance between the two points rounding to the nearest tenth …
\( 5.8 \)
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margaret is in a boat traveling due west. she turned the boat 50° north…
\(50\) ### Part (b)
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find the distance between the two points rounding to the nearest tenth …
\( 5.8 \)
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a designer plans a wallpaper border using triangles. the designer draws…
To solve this problem, we first need to identify the coordinates of the original triangle \( \triangle JKL \) from the coordinate plane. Let's assume the original coordinates of \…
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find the distance between the two points in simplest radical form. (8, …
\( 4\sqrt{5} \)
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find the measure of the missing angles.
\( x = \boxed{31} \) \( y = \boxed{90} \)
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60. find x and r .
\(x = 20\), \(r=20\sqrt{2}\)
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find the distance between the two points in simplest radical form.
\( 4\sqrt{2} \)
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margaret is in a boat traveling due west. she turned the boat 50° north…
\(50\) ### Part b
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find the distance between the two points in simplest radical form. (-2,…
\(\sqrt{113}\)
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lesson practice choose the correct answer. use the transformation below…
C. \(\angle E\) ### Question 2
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12. is a cube a polygon? why or why not?
A cube is not a polygon. A polygon is a 2 - dimensional figure with straight sides on a single plane, but a cube is a 3 - dimensional solid with length, width, and height.
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prepare for transformations in the coordinate plane 1 think about what …
s: ### Part 1 (Concept Map): - **What Is It?**: A point where two or more line segments/edges meet in a geometric figure. - **What I Know About It**: Defined by coordinates; numbe…
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name two pairs of congruent angles in the figure. justify your answers.…
B. $\angle BFC$ and $\angle DFE$ ### Second Sub - Question (Explain why the angles are congruent)
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triangle shw is similar to triangle ari, such that s, h, and w correspo…
\( 40^\circ \) (the option with \( 40^\circ \))
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(b) the lengths of the sides of a triangle are represented by three con…
The lengths of the sides are 15 feet, 16 feet, and 17 feet.
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a farmer plans to install solar collection panels to provide winter hea…
\(33.5\sqrt{3}\) in
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one skateboarding site recommends that the ideal kicker ramp for beginn…
34 inches
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11. does a polygon usually have more sides or more angles? explain.
A polygon has the same number of sides and angles. This is because in a polygon, each side is connected to form a vertex, and at each vertex, there is one angle. For example, a tr…
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understand volume 1 attend to precision find the dimensions of the righ…
84 cubic centimeters
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14. if ef bisects cd, cg = 5x - 1, gd = 7x - 13, ef = 6x - 4, and gf = …
\( 19 \)
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understand volume 1 attend to precision find the dimensions of the righ…
The volume of the right rectangular prism is 112 cubic centimeters. ### General Note for Volume of Rectangular Prism with Unit Cubes For a right rectangular prism made up of unit …
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a pool measures 14 feet by 23 feet and it is surrounded by a 7 - foot d…
130
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20 which equation could be used to solve for the value of x in the figu…
B. \( x = 5x - 48 \)
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choose the correct angle addition formula for the diagram below. a ( ma…
A. \( m\angle LKM + m\angle MKN = m\angle LKN \)
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∠f and ∠q are supplementary. what is the value of x? x =
\(7\)
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determine whether the given angles are a linear pair, vertical angles, …
- $\angle 1$ and $\angle 6$: linear pair - $\angle 2$ and $\angle 5$: neither - $\angle 1$ and $\angle 5$: vertical angles
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2. a. name the intersection of \\(\\overleftrightarrow{ac}\\) and \\(\\…
Point \(C\) ### Part b
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the area of this rectangle is ( 3x^2 ). what does the coefficient 3 mea…
A. The length is 3 times the width.
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match each sentence with the correct set-up. not all set-ups will be us…
### 1. "If ∠A and ∠B are vertical angles, then ______" - Vertical angles are equal in measure. So the correct match is "$\angle A \cong \angle B$, $m\angle A = m\angle B$". ### 2.…
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9. what polygon has 6 sides and 6 angles?
Hexagon
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find the length of the third side of the triangle if its perimeter is 8…
22
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find the area of triangle abc.
16
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a sheet of paper with points a and b is folded so that a and b match up…
- When the paper is folded so that A lies directly on top of B, every point on the crease is the same distance from A and B. Since the set of all such points is the perpendicular …
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resuelve para x, encuentra la 1) find x 2) find (overline{ab}) 3) find …
1) \( x = 5 \) 2) \( \overline{AB} = 21 \) 3) \( \overline{AC} = 38 \)
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solve for x:
15
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in the construction, a is the center of one circle, and b is the center…
B. EA and BC are both radii of circles with a common radius. The circle centered at A passes through B and the circle centered at B passes through A so any radius of either circle…
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6. figure w x y z was transformed to create figure w x y z. which trans…
D. A rotation \( 180^\circ \) clockwise around point \( Y \).
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10 sur 20 quelle est la valeur de la mesure du côté a ? triangle with r…
A. 58,5 cm
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solve for x: image of two intersecting lines with angles labeled 4x + 6…
15
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graph the following figure in the coordinate plane. find the perime x(0…
\(14+\sqrt{34}\) (or approximately \(19.83\))
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plot and connect the points listed below. when you are done, find the a…
6
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solve for x: 7x + 49° 2x + 94°
9
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solve for x: diagram showing two intersecting lines with angles labeled…
8
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select all true statements. a line st is perpendicular to line pr. b li…
A. Line \( ST \) is perpendicular to line \( PR \) C. Line \( ST \) is the bisector of angle \( PMQ \) E. Line \( ST \) is the perpendicular bisector of segment \( PQ \) Wait, no,…
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suppose that θ is an angle in standard position whose terminal side int…
\(\sec\theta = \boldsymbol{-\frac{7\sqrt{5}}{15}}\), \(\cos\theta = \boldsymbol{-\frac{3\sqrt{5}}{7}}\), \(\cot\theta = \boldsymbol{-\frac{3\sqrt{5}}{2}}\)
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solve for x: equation practice with vertical angles angles: (2x + 62^ci…
\(x = 8\)
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3. does a rectangle have more sides or angles? 4. how many sides does a…
A rectangle has the same number of sides and angles (both 4). ### Question 4
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solve for x. 6x + 185° 8x + 207° x = box
\(x = -11\)
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suppose that θ is an angle in standard position whose terminal side int…
\(\cos\theta = -\frac{12}{13}\), \(\tan\theta = \frac{5}{12}\), \(\sec\theta = -\frac{13}{12}\)
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equation practice with vertical angles solve for x: 6x + 185° 8x + 207°…
\(x = 11\)
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for safety and strength, the supports of a set of scissor steps form pa…
99
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solve for x: 9x + 184° 7x + 156°
\(x = -10\)
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polygon wxz has vertices w(1, 0), x(-2, 1), x(-3, -2), z(2, -3). 11. dr…
### Question 11: Draw and label polygon \( WXYZ \) #### Step 1: Identify the coordinates of each vertex - \( W(1, 0) \): Move 1 unit to the right on the x - axis and 0 units on th…
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equation practice with vertical angles solve for x: 9x + 184° 7x + 156°…
\(x = -10\)
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find area of square abcd.
41
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solve for x: diagram with angles ( 9x + 184^circ ) (green) and ( 7x + 1…
\( x = -1 \)
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1) find x 2) find \\(\\overline{xy}\\) 3) find \\(\\overline{xz}\\) (di…
\( x = 3 \) ### 2) Find \( \overline{XY} \)
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equation practice with vertical angles solve for x: diagram showing two…
$x = 7$
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for safety and strength, the supports of a set of scissor steps form pa…
99
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find the length (distance) of one side of square abcd.
\(\sqrt{41}\)
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for safety and strength, the supports of a set of scissor steps form pa…
50 (assuming the angle at the top right is 50, which is a common case in such parallelogram - related angle problems for scissor steps. If the diagram had a specific angle, we wou…
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find the area of rectangle abcd.
The area of rectangle \( ABCD \) is 50 square units.
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4. in which two numbers below is the value of the underlined digit ten …
- 6ⓞ67,767 (where the circled digit is in the ten - thousands place and the underlined digit is in the hundred - thousands place) - 667,ⓞ767 (where the circled digit is in the ten…
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find the length of (overline{ad}). image of a coordinate grid with poin…
10
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3. question stem partially visible a 226 baseball cards b 276 baseball …
\( \underline{6}\circled{6}7,767 \) and \( 66\underline{7},\circled{7}67 \)
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opposite sides of a parallelogram are parallel. prove that opposite ang…
The justification for step 5 (\( m\angle A + m\angle B=m\angle B + m\angle C \)) is the **Transitive Property of Equality** (or "Substitution Property of Equality" as both \( m\an…
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opposite sides of a parallelogram are parallel. prove that opposite ang…
To fill in step 5's reason (for showing \( \angle A\cong\angle C \)): Subtraction Property of Equality (and for \( \angle B\cong\angle D \) similarly). The key step for \( \angle …
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opposite sides of a parallelogram are parallel. prove that opposite ang…
Definition of parallelogram
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opposite sides of a parallelogram are parallel. prove that opposite ang…
1) Reason: Definition of a parallelogram 2) Reason: Consecutive Interior Angles Theorem (Supplementary Angles) (And the full proof shows \(\angle A \cong \angle C\), \(\angle B \c…
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match each sentence with the correct set - up. not all set - ups will b…
- If \( \angle A \) and \( \angle B \) are vertical angles, then \( \boldsymbol{\angle A \cong \angle B, m\angle A = m\angle B} \). - If \( D \) is in the interior of \( \angle AB…
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find each measure. see example 3 21. ( mangle 1 ) 22. ( x )
(21): \( 57^\circ \)
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lesson 1.2 understanding rigid transformations w5 example figure q is a…
a. Figure D is a translation of figure A. The arrow should be drawn vertically downward from figure A to figure D (or along the grid to show the slide direction, e.g., 0 horizonta…
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3. if quadrilateral abcd was rotated 270 degrees counterclockwise about…
\( (3,-2) \)
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(c) the fraction representing the shaded part is \\(\\frac{4}{5}\\). (t…
$\frac{7}{10}$
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2. rotate this figure 180 degrees counterclockwise.
The second option (the one with the arrow pointing up)
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1. if triangle abc was reflected over the y-axis, what would be the coo…
# Explanation: ## Step1: Find original coordinates of B From the graph, point B is at \((-3, 4)\) (since it's 3 units left of y - axis (x[SSE Completed, Client Connection Error][S…
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3. let b be the midpoint of segment ac. if bc = 9 and ac = -5x + 13, fi…
\( x = -1 \)
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name jenna facts: ∠a and ∠b are complementary angles ∠b and ∠c are supp…
\( m\angle B = 38^\circ \), \( m\angle C = 142^\circ \) ### Problem 2
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write the coordinates of the vertices after a reflection over the line …
\( B'(-5, -3) \) \( C'(-10, -3) \) \( D'(-4, 0) \)
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find m∠1. m∠1= 57 (type an integer or a fraction. do not include the de…
57
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complete each statement with always, sometimes, or never. 15. any three…
15. sometimes 16. sometimes 17. never 18. always
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a grid with 2 rows (5 columns each): top row has 5 blue circles, bottom…
11 - 4
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the area of a rectangular pool is 3,135 square feet. the length is 95 f…
33
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write the coordinates of the vertices after a reflection over the line …
\( B'(0, -6) \) \( C'(-7, -6) \) \( D'(-3, 1) \) \( E'(-1, 1) \)
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find m∠1 (3x + 6)° 123° 1 m∠1 = (type an integer or a fraction. do not …
57
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please print test, show all necessary work and circle all answe 10. gra…
The graph has a solid line \( y = 2x - 5 \) (passing through \((0, - 5)\) and \((3,1)\)) with the region below the line shaded.
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which two shapes must have 4 right angles? a square and a rhombus a rec…
D. A square and a rectangle (assuming the last option is labeled D, if the original options were labeled as A, B, C, D with the last one being "A square and a rectangle")
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which of the following is true for a quadrilateral? its diagonals must …
It has four sides.
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find m∠1. (3x + 6)° 123° 1 m∠1 = □ (type an integer or a fraction. do n…
57
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find the area of the following triangle: triangle diagram with side len…
81
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write the coordinates of the vertices after a reflection over the line …
\( B'(7, -9) \) \( C'(7, -5) \) \( D'(6, -3) \) \( E'(6, -7) \)