幾何
三角形、円、座標幾何、証明問題。
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show that each statement is false by providing a counterexample. (a) if…
length = \( 6 \), width = \( 6 \) (or other valid pairs like 9 and 4, 18 and 2, etc.) ### Part (b)
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10. (13y - 17)° (29x - 3)° (15x + 7)° l m
\(x = 4\), \(y = 10\) (If you need the measures of angles: \((29x - 3)^\circ=113^\circ\), \((15x + 7)^\circ = 67^\circ\), \((13y - 17)^\circ=113^\circ\))
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the measure of an angle is 38.4°. what is the measure of its complement…
\(51.6^\circ\)
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the measure of an angle is 97.6°. what is the measure of its supplement…
\(82.4^\circ\)
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name the plane that is highlighted in the diagram below. diagram of a r…
Plane VRSW (or Plane RSWV, Plane VWS R, etc. Another correct answer could be Plane V, R, S or Plane W, R, S, but the most precise with the given vertices is Plane VRSW)
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8. (5x + 3)° and (9x - 33)° with parallel lines ( l ) (top) and ( m ) (…
\( x = 9 \) (and the angle measure is \( 48^\circ \) if needed)
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you have a map with a scale of 1 inch representing 5 miles. if the dist…
A. 35 miles
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2. diagram: point y with rays yx, yw, yz. angle between yw and yz is 27…
\( x = 11 \)
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a square with each side labeled ( 2 \frac{1}{5} ) yd. below the square,…
\(8\frac{4}{5}\)
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solve for x and graph the solution on the number line below. -x + 3 ≤ -…
Inequality Notation: \(6 \leq x < 11\) (For the number line: Plot a closed circle at 6 and an open circle at 11, then shade the region between them.)
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which shape has (\frac{1}{2}) shaded?
The top - right shape (the checkered vertical rectangle) has $\frac{1}{2}$ shaded. (If we consider the options as labeled, for example, if the top - right is option B, then the an…
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circle\tred star\tpurple clover\tred square\tgreen triangle\tblue a con…
### Given Statement Analysis: The given statement is "If a toy block is a clover, then the toy block is red." From the table, the clover is red, so this statement is **True**. ###…
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1. rq = 3x + 8 qs = 2x − 5 rs = 43 rq =______ qs =______
\( RQ = 32 \), \( QS = 11 \)
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name the figure below in two different ways.
\(\overleftrightarrow{SL}\) and \(\overleftrightarrow{YL}\) (or other valid two - point combinations like \(\overleftrightarrow{SY}\) and \(\overleftrightarrow{SL}\))
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two parallel lines ( l ) and ( m ) cut by a transversal. one angle is (…
\(x = 12\)
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look at this square. find the value of w. perimeter = 45.6 inches w = \…
\( w = 11.4 \) inches
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below in two different ways.
Symbol: $\overleftrightarrow{}$ $\overleftrightarrow{UB}$ and $\overleftrightarrow{BU}$
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a triangle with two sides labeled 20.6 km, one side labeled 4.9 km, and…
\(46.1\) kilometers
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isaac says that the shaded part of the figure represents $\frac{1}{2}$ …
C. No, because the shaded and unshaded parts do not have equal areas.
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6. (11x - 47)° (6x - 2)° lines l and m (parallel, cut by transversal)
\( x = 9 \)
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the figure below in two different ways.
Symbol: $\overleftrightarrow{}$ $\overleftrightarrow{HQ}$ and $\overleftrightarrow{QH}$
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7) rotation 180° about the origin
The coordinates of the rotated points are \( V'(4,2) \), \( G'(0,3) \), and \( E'(-2,1) \). The rotated triangle is formed by connecting these points. (If a graphical answer is ex…
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the terminal ray of an angle θ intersects the unit circle as shown belo…
\(\sin\theta\approx - 0.985\) (or - 0.987 if using slope directly, but the unit circle gives a more accurate value considering the point is on the unit circle. The difference is d…
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question 4 of 8 (1 point) | question attempt: 1 of 3 prove: ( de = fg )…
Addition and Subtraction Properties
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some friends are picking up trash at a beach. the friends divide the be…
Nothing. They have already picked up trash on $\frac{1}{2}$ of the beach.
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the terminal ray of an angle θ intersects the unit circle as shown belo…
\(-1.427\)
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5. (8x - 77)° l m (3x + 38)° 7.
\( x = 23 \)
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symbol: dropdown box and box (with a vertical line segment above labele…
Symbol: $\boldsymbol{\overline{}}$ $\boldsymbol{\overline{OR}}$ and $\boldsymbol{\overline{RT}}$ (or $\boldsymbol{\overline{RO}}$ and $\boldsymbol{\overline{TR}}$)
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2 1/4 ft (top and bottom), 3 1/5 ft (left and right) (rectangle diagram)
To find the area of the rectangle, we use the formula for the area of a rectangle, \( A = l \times w \), where \( l \) is the length and \( w \) is the width. ### Step 1: Convert …
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complete the proof by choosing the correct eason\. given: ( dg = fh ), …
s for each Reason: 1. Segment Addition Postulate 2. Segment Addition Postulate 3. Given 4. Substitution Property of Equality (from Steps 1, 2, 3) 5. Given 6. Substitution Property…
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find the perimeter. write your answer as a fraction or as a whole or mi…
\( 14\frac{9}{10} \)
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rectangle defg was dilated to form defg. point g(-2, 0) was dilated to …
The scale factor of the dilation is 5.
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in the figure below, m∠1=4x° and m∠2=(x−5)°. find the angle measures.
\( m\angle1 = \boldsymbol{148}^\circ \) \( m\angle2 = \boldsymbol{32}^\circ \)
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16.1 mi, 16.1 mi, 20.5 mi, miles
\( 52.7 \)
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what is the perimeter of this parallelogram? 10 yd 4 yd yards
28
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find the perimeter. write your answer as a fraction or as a whole or mi…
\( \frac{60}{17} \) (or \( 3\frac{9}{17} \))
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8) how does the volume of a sphere with a radius of 2 meters compare to…
The volume of the sphere with a radius of 2 meters is \( \frac{1}{8} \) of the volume of the sphere with a radius of 4 meters (or the volume of the sphere with radius 4 meters is …
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in the figure below, ( m angle pqs = 112^circ ). (a) write an equation …
s: (a) Equation: \( 3x + 52 = 112 \) (b) \( x = 20 \)
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look at this parallelogram. find the value of p. image of a purple para…
\( 15.7 \)
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m∠xyz = 60°, angle diagram with (3x)° and 27° angles, sections for type…
\( x = 11 \)
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incorrect your answer is incorrect. in the figure below, ( mangle 1 = 3…
$74^\circ$
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federalists often . . . - believed in a strong federal, or national, go…
True (select the circle under "True" for this statement) ### 2. Statement: Federalists supported Great Britain in conflicts with other foreign countries.
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write your answer as a fraction or as a whole or mixed number. (\frac{1…
\(\frac{8}{15}\)
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find the cotangent of ∠x. triangle with vertices x, y, w (right angle a…
$\frac{\sqrt{57}}{5}$
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a map of a park has a scale of 1 inch to 1,000 feet. another map of the…
The map with a scale of 1 inch to 500 feet is larger. Because for the same real - world distance in the park, the map with the smaller scale (1 inch represents a smaller number of…
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a rectangle patio is 9 ft by 6 ft. when the length and width are increa…
The solution \(x\) represents the possible amounts by which the dimensions were changed.
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name two pairs of congruent angles in the figure. justify the answer. s…
B. \( \angle MPD \) and \( \angle MPN \) according to the Right Angles Congruent Theorem G. \( \angle LPD \) and \( \angle LPN \) according to the Equal Complements Theorem (Note:…
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find the cosine of ∠i. triangle with vertices j, h, i; right angle at j…
$\frac{\sqrt{770}}{55}$
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find the cotangent of ∠d. triangle with vertices e, f, d; right angle a…
\(\frac{\sqrt{7}}{3}\)
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find the cosine of ∠y. diagram: right triangle wyx with right angle at …
\( \frac{\sqrt{2}}{2} \)
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question which equation represents a line which is parallel to the x-ax…
\(y=-1\)
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seven battleships that each cover 4 coordinates are located somewhere o…
To solve this battleship - grid problem, we can use a systematic approach to test coordinate points. ### Step 1: Analyze the grid range The x - axis ranges from - 4 to 4 and the y…
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ab=bc for a(-3,2) and c(2,7). which of the following could be the coord…
# Explanation: To determine if a point \( B(x,y) \) lies on the line segment \( AC \) (or the line \( AC \)), we first find the equation of the line passing through \( A(-3,2) \) …
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question which equation represents a line which is parallel to the x-ax…
\(y=-1\) (the option with \(y = - 1\))
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find the value of the variable. x = (simplify your answer.) diagram: tw…
To solve for \( x \), we recognize that \( \angle AED \) and \( \angle BEC \) are vertical angles, so they are equal. Wait, actually, looking at the diagram, the angles \( 3x^\cir…
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which equation represents a line which is parallel to ( x = 0 )? answer…
\( x = 8 \) (the option with \( x = 8 \))
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ted rides his bike in a straight line from his location, perpendicular …
\((4,6)\) (Note: The actual answer may vary depending on the exact coordinates of the points on the paths in the grid. The above is a sample based on common similar problems. To g…
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use the appropriate theorem(s) to find the measure of ∠1.
To find the measure of \( \angle 1 \) using the appropriate theorem (likely the Vertical Angles Theorem or Linear Pair Theorem), if the given angle is \( 58^\circ \) and \( \angle…
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question which equation represents a line which is parallel to y = 0? a…
\( y = 6 \) (the option: \( y = 6 \))
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write a two - column proof. given: ( mangle gfi = 152^circ ) prove: ( m…
48
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7. in the diagram, a, b, and c represent three towns. they are joined b…
s: (a) \( AB\approx \boldsymbol{28.8 \, \text{km}} \) (or more precisely \( \sqrt{829}\approx 28.8 \, \text{km} \)) (b) The shortest distance is approximately \( \boldsymbol{9.72 …
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1 here is a scale drawing of a swimming pool where 1 cm represents 1 m.…
### Part (a) To determine the actual length and width, we first need to measure the length and width of the scale drawing (assuming we can visually estimate or measure it). Let's …
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in the graph to the right, are lines l₁ and l₂ perpendicular? explain. …
B. Yes, the lines \( L_1 \) and \( L_2 \) are perpendicular because the product of their slopes equals \( -1 \)
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what is the most dangerous way to change direction while driving? * 1 p…
A. U-Turn, E. All of the above, A. The side view mirror
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which angle is vertical to ∠6? image of intersecting lines with angles …
∠2
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in the graph to the right, are lines ( l_1 ) and ( l_2 ) parallel? expl…
C. No, lines \( L_1 \) and \( L_2 \) are not parallel because they have different slopes.
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geometry hon-386112063200108 1-1: homework suppose eg = 5, eb = 15, af …
\(\frac{13}{3}\) (or approximately \(4.33\))
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suppose eg=5, eb=15, af=13, m∠ebg=18, m∠egf=26, and m∠cae=52. find ad.
\(39\)
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7. in the diagram, a, b, and c represent three towns. they are joined b…
s: (a) The distance \(AB\) is approximately \(\boldsymbol{28.81\space km}\) (b) The shortest distance from \(C\) to road \(AB\) is approximately \(\boldsymbol{9.78\space km}\)
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practice representing a three - dimensional figure with a net study the…
The shapes in any net for a cube are squares. A cube has 6 congruent square faces, and a net is the 2 - D representation of the unfolded 3 - D cube, so it is made up of these 6 sq…
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you are given ∠bad and asked to copy it using only a compass and a stra…
To solve the problem of ordering the steps to copy \(\angle BAD\) as \(\angle TOM\) using a compass and straightedge, we follow the standard angle - copying construction steps: ##…
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suppose eg = 5, eb = 12, af = 10, m∠ebg = 23, m∠egf = 27, and m∠cae = 5…
\(10\)
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which angle number represents ∠bgd?
2
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1 here is a scale drawing of a swimming pool where 1 cm represents 1 m.…
Suppose the scale - drawing length is \( l \) cm and width is \( w \) cm. The actual length is \( l\times1 = l \) m and the actual width is \( w\times1 = w \) m. For example, if t…
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find the volume of this prism. volume of a prism v = bh v = ? m³
To find the volume of the rectangular prism, we use the formula \( V = Bh \), where \( B \) is the area of the base and \( h \) is the height. The base is a rectangle with length …
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find the cotangent of ∠t. diagram: right triangle rst with right angle …
\(\frac{3}{4}\)
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suppose eg = 5, eb = 14, af = 13, m∠ebg = 21, m∠egf = 32, and m∠cae = 5…
\( \boxed{10} \)
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find the measure of the reference angle for a 580° angle.
$40$
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suppose eg=5, eb=14, af=13, m∠ebg=21, m∠egf=32, and m∠cae=51. find ad.
\( \boxed{6.5} \) (or \( \frac{13}{2} \))
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find the measure of the reference angle for a 595° angle.
\( 55 \)
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a student is copying a segment \\( \\overline{ab} \\) using only a comp…
Without changing the compass length, place the compass on point \( C \) and draw a small arc.
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find the measure of the reference angle for a -352° angle.
\(8\)
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∠1 and ∠2 are vertical angles. if m∠1 = (3x + 30)° and m∠2 = (8x − 30)°…
\( 12 \)
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find the measure of the reference angle for a ( \frac{31pi}{18} ) radia…
\(\frac{5\pi}{18}\)
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name that polygon!!! 1. triangle image 2. rectangle image 3. pentagon i…
Triangle ### 2.
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7x-12° 3x+28° type of angle pair these angles are equation x= angle mea…
s: ### First Angle Pair: - Type of angle pair: Alternate Exterior Angles - These angles are: Equal - Equation: \(7x - 12 = 3x+28\) - \(x=\boldsymbol{10}\) - Angle Measurements: \(…
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pablo folds a straw into a triangle with side lengths of $4x^2 - 3$ inc…
A. \( 12x^2 - 6 \); 21 inches
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in the figure shown, cf intersects ad and eh at points b and f, respect…
(for the drop - downs in Part A): - For $\angle CBD \cong \angle BFE$: Given - For $\angle CBD \cong \angle ABF$: Vertical angles are congruent - For $\angle ABF \cong \angle BFE$…
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find the area of δabc with vertices a(4,-3) b(9,-3) and c(10,11) the ar…
35
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in the figure shown, cf intersects ad and eh at points b and f, respect…
### Part A #### Step 1: First Statement and Reason - **Statement**: $\angle CBD \cong \angle BFE$ - **Reason**: Given (as provided in the problem, this is the initial information …
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a polygon is a _______________ examples: a regular polygon is a _______…
- A Polygon is a closed plane figure bounded by three or more straight line segments. Examples: Triangle, Square, Pentagon, Hexagon. - A Regular Polygon is a polygon with all side…
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in the figure shown, \\( \\overleftrightarrow{cf} \\) intersects \\( \\…
### Part A Proof Explanation: #### Step 1: Justify \( \angle CBD \cong \angle BFE \) - **Explanation**: This is given in the problem statement. - **Reason**: Given #### Step 2: Ju…
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given: $overline{jk} \\parallel overline{lm}$, $overline{jk} \\cong ove…
The next statement (statement 4) is \(\boldsymbol{\overline{JL} \cong \overline{LN}}\) with reason "definition of midpoint". Then statement 5: \(\boldsymbol{\angle J \cong \angle …
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find the surface area of this sphere. use 3.14 for π. 8 cm surface area…
To find the surface area of the sphere, we use the formula \( SA = 4\pi r^2 \), where \( r = 8 \) cm and \( \pi = 3.14 \). First, substitute the values into the formula: \( SA = 4…
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a blender has blades as shown. what counterclockwise rotation will map …
\(180\)
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find the measure of ∠x in the figure.
\(128^{\circ}\)
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given (overline{jk} parallel overline{lm}), (overline{jk} cong overline…
The missing statement (to be filled in the proof table) is \(\boldsymbol{\overline{JK} \parallel \overline{LM}}\)
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7. name a pair of parallel line segments. 8. name a pair of intersectin…
\( \overline{LM} \) and \( \overline{ON} \) (or \( \overline{LO} \) and \( \overline{MN} \)) ### Question 8
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4 write a justification for each step. given that ( eg = fh ) diagram: …
A. [A] Segment Addition Postulate; [B] Substitution Property of Equality
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a family needs to build fencing around their rectangular home and squar…
s: - The total amount of fencing coefficient: \( \boldsymbol{38} \) - Fencing for home (when \( x = 5 \)): \( \boldsymbol{160} \) - Fencing for pool (when \( x = 5 \)): \( \boldsy…