幾何
三角形、圓、解析幾何與證明題。
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7. for each statement, respond yes, no, or maybe. a. i am looking at a …
a. MAYBE b. YES c. NO d. YES e. YES
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find the perimeter and total area of the polygon shape shown below. all…
Perimeter = 56 inches, Area = 192 square inches
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a square tile has a side length of 10 cm. what is the area of the tile?…
100 square centimeters
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find the perimeter of a rectangle with a length of 9 yards and a width …
30
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find the value of x.
$x =-\frac{23}{3}$
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find the perimeter and area of the polygon shown below. p = 72 feet, a …
$P = 72$ feet, $A = 308$ square feet
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6. lines a and b are cut by transversals c and d. if m(∠1)=m(∠3) and m(…
Yes, lines $a$ and $b$ are parallel.
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2. circle all of the repeating decimals. 19 2/9 0.55 9 0.0909... 3.1415…
2/9, 0.0909…
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5. find the measures of angles 1, 2, and 3 given that trap is a trapezo…
$\angle1 = 60^{\circ}$, $\angle2 = 30^{\circ}$, $\angle3 = 110^{\circ}$
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4. given that the m∠doc = 3/4(m∠boa), find the measures of the marked a…
$x=\frac{960^{\circ}}{7}\approx137.14^{\circ}$, $y=\frac{720^{\circ}}{7}\approx102.86^{\circ}$
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7.determine as many key features as you can find on this graph.
Interceptos en el eje - x y eje - y, pendiente (si es una recta), intervalos de crecimiento o decrecimiento, puntos críticos (si es una función diferenciable).
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1° = 60, 1 = 60 a. perform the following operation, showing and justify…
a. \(6^{\circ}34'\) b. \(17^{\circ}14'24''\)
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the triangles below are similar. find the value of x. the image is not …
# Explicación: ## Paso 1: Establecer la proporción Para triángulos similares, las razones de los lados correspondientes son iguales. Entonces, $\frac{x}{24}=\frac{28}{16}$. ## Pas…
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find a general form of an equation for the perpendicular bisector of th…
$5x-7y + 15 = 0$
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2. for each statement, determine if it is true or false. if false, expl…
a. True b. True c. True d. False
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the volume of a sphere is 998 cm³. what is the approximate radius of th…
B. 6.2 cm
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math 132, w01: review directions: respond to each question in the space…
a. Point $D$ b. Planes $ABCD$ and $BCGF$, Planes $EFGH$ and $DCGH$ c. Line $\overline{HG}$
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find the length of the diagonal of a square with perimeter 32. p = 32 a…
E. $8\sqrt{2}$
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graph. x < 10 plot the endpoints. select an endpoint to change it from …
On a number line, place an open circle at 10 and draw an arrow pointing to the left.
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r = 2 mm volume of sphere = $\frac{4}{3}pi r^{3}$ $piapprox3.14$ what i…
D. $33.5$ mm³
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the volume of a pyramid can be found using the formula v = \\frac{1}{3}…
C. $32$ m³
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27x - 1 25x + 5
$x = 3$
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alexis drew this figure. what is the sum of the angles of the figure al…
C. $360^{\circ}$
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what is the surface area of a cube with an edge length of 8 inches? 192…
C. 384 in.$^{2}$
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in the diagram below, lines b and c are parallel. what is the measure o…
\(70^{\circ}\)
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translate the figure 2 units right and 7 units down. plot all of the po…
Plot the new points obtained by adding 2 to the x - coordinates and subtracting 7 from the y - coordinates of the original points of the figure.
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two interior angles of a triangle each measure 34°. what is the measure…
112°
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a person has an 8 - inch by 10 - inch piece of cardstock. he cuts it in…
52 square inches
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questions: establishment of the legislative branch circle the correct a…
1. B. two houses 2. A. population 3. B. equal votes for each state 4. D. the Great Compromise 5. A. the first
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what is the approximate distance from one corner of the soccer field to…
117 yards
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4.) a(3, -1) a.) parallel to the y - axis b.) perpendicular to the y - …
a. The equation of the line parallel to the y - axis is $x = 3$. b. The equation of the line perpendicular to the y - axis is $y=-1$.
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a circular water reservoir has a radius of 0.3 kilometer. what is the a…
0.28 square kilometer
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questions: committees circle the correct answer. 1. a committee is: a. …
1. C. a smaller group of people that has some subject matter expertise regarding whatever the bill is about 2. B. 21 3. C. 4 4. A. House committees 5. C. it "died in committee" 6.…
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questions: the senate circle the correct answer. 1. the main job of sen…
1. D. all of the above 2. B. upper house of Congress 3. B. six 4. B. the vote is needed to break a tie 5. B. Whip
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olivia has a shoe box in the shape of a rectangular prism. she decorate…
256 square inches
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questions: the legislative branch circle the correct answer. 1. the job…
1. D. all of the above 2. A. House of Representatives 3. B. Senate 4. C. a bill 5. D. all of the above
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what is the area of the irregular hexagon? 49.4 cm², 57.12 cm², 74.24 c…
$57.12$ $cm^2$
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19) 34x - 1 45°
# Explicación: ## Paso 1: Identificar ángulos congruentes Suponiendo que los ángulos dados son congruentes (ya que no hay más información, pero si son ángulos correspondientes o a…
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8. find the slope of the line.
\(-\frac{1}{5}\)
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preguntas: 1. what have huerta and the workers been fighting for? 2. gi…
1. Could be better working conditions, fair wages (due to her labor - rights activism). 2. Witnessing poor farm - worker conditions. 3. Cannot be done without a specific quote. 4.…
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preguntas: 1. what was dolores huerta fighting for? 2. give an example …
1. She was fighting for the rights of farm workers, including better working conditions, higher wages, and an end to discrimination. 2. Witnessing the extreme poverty and lack of …
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18x + 4 17x + 11
# Explicación: ## Paso 1: Asumir que los ángulos son iguales (suponiendo que son ángulos correspondientes o alternos internos, etc., ya que no se especifica el tipo pero se asume …
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9x - 4 7x + 8
# Explicación: ## Paso 1: Igualar las expresiones Suponiendo que las dos expresiones representan ángulos opuestos por el vértice (que son iguales), establecemos la ecuación $9x - …
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y = ax - b gives the height y of an angled ladder, x feet from its base…
\(x=\frac{y + b}{a}\)
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select the graph that represents the solution to: $x-(5 - 3x)leq2x - 1$
The graph with a closed - circle at 2 and an arrow pointing to the left (the fourth graph in the order from top - to - bottom as described in the problem) represents the solution …
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18.) givens: $overline{ae}$ bisects $overline{bd}$, $overline{ac}congov…
The proof that $\triangle ACB\cong\triangle ECD$ is complete as shown above.
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justify the set up. 14)
# Explicación: ## Paso 1: Identificar ángulos correspondientes Suponiendo que las líneas son paralelas y la transversal forma ángulos correspondientes iguales. Entonces, se establ…
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three: 8 pts each (24 points for this page) properties of isosceles tri…
Part A: \(x = 37.5^{\circ}\) Part B: - Statement: \(\angle V\cong\angle X\), Reason: Base Angle Theorem (Properties of Isosceles Triangles) - Statement: \(\triangle WZV\cong\trian…
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1.) the endpoints of $overline{cd}$ are given. find the coordinates of …
1a. (5, 2) 1b. (-6, 2) 2a. (3, 12) 2b. (18, -9) 3a. $2\sqrt{17}$ 3b. 5 3c. $\sqrt{13}$ 3d. $\sqrt{106}$
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page four: proofs! 3 pts per blank. 18.) givens: ae bisects bd ac ≅ ce …
18. | Statements | Reasons | |---|---| | $\overline{AE}$ bisects $\overline{BD}$ | Given | | - | Definition of bisector | | $\angle ACB\cong\angle ECD$ | Vertical Angle Theorem | …
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a circular crop field has an irrigation system in which a pipe, with on…
the difference between the maximum and minimum distances from the tip of the pipe to the farmhouse
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out of these choices, which angle measure is the greatest? a.) m∠a b.) …
1. D. SAS 2. B. $m\angle B$
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directions - complete the following problems, show all work. 1. use the…
1A) 64 1B) 67 2) m∠BXC = 23, m∠AXC = 46 3) x = 3.5, m∠ABD = 48, m∠DBC = 74 4) x = 19, m∠PRQ = 127, m∠QRS = 53
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on march 24, 1989, the exxon valdez oil tanker ran aground and leaked m…
592 hours
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solve for x ( this is not a multiple choice. show your work)
\(70^{\circ}\)
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solve for m∠edf. (this question is not multiple choice. show your work.…
C. \(\angle POQ\) and \(\angle ROS\) are vertical angles. ### 3. Which of these is NOT a method to determine triangle congruence?
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mr. patel drew figure a and its image, figure k, on the grid. hiroko sa…
No, both students cannot be correct because a figure cannot be both a rotation and a reflection of another figure at the same time.
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page one: 4 pts each (you must get 7 correct to earn 28 points in this …
1. D. 142° 2. A. 6 3. None of the above (based on correct corresponding - angle concept)
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special pairs of angles practice directions - complete the following pr…
Problem 1: x = 4, m∠WOY = 50°, m∠YOZ = 40°, m∠WOZ = 90° Problem 2: x = 3, m∠RAM = 140°, m∠MAN = 40°, m∠RAN = 180° Problem 3: x = 8, m∠AQB = 40°, m∠BQC = 40°, m∠AQC = 80° Problem 4…
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c. describe how you could compare the corresponding sides and angles of…
Measure the lengths of corresponding sides with a ruler and measure the degrees of corresponding angles with a protractor.
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16. the longest side of a triangle is twice as long as the shortest sid…
The length of the shortest side is 15 inches and the length of the longest side is 30 inches.
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questions 1. what is the capital of mexico? 2. which mountain range str…
1. Mexico City 2. The Rocky Mountains 3. Varies depending on labeled cities (e.g., El Paso) 4. Denmark 5. Approximately 45.4215° N latitude and 75.6972° W longitude 6. Haiti 7. Va…
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1. kayla is making a scale - drawing of a room in a house. the room act…
1. The dimensions of Kayla's room in the drawing are 2 inches by 3 inches. 2. The actual dimensions of Star's closet are 1 ft by 2 ft. 3. The actual distance between the two citie…
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find the area of the right triangle.
12 square units
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indicator competency benchmark competency benchmark + expressing geomet…
1a. $m_{AB}=\frac{1}{5}$, $m_{BC}=\frac{3}{2}$, $m_{AC}=-5$ 1b. $d_{AB}\approx5.099$, $d_{BC}\approx7.211$, $d_{AC}\approx5.099$ 1c. Right - triangle because $(d_{AB})^2+(d_{AC})^…
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geometry write and solve an equation to find the value of x so that the…
The correct equation to find the value of $x$ such that the figures have the same area is $\frac{1}{2}(x + 12)(6)=12x$, which is equivalent to $3(x + 12)=12x$ after simplification…
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8. a flag pole 18 feet tall casts a shadow 12 feet long at a specific t…
$56^{\circ}$
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question: consider the function y = 2 sin(x) for 0° ≤ x ≤ 360°. 1. grap…
The key points are $(0^{\circ},0),(90^{\circ},2),(180^{\circ},0),(270^{\circ},-2),(360^{\circ},0)$. Plot these points and draw a smooth sine - curve.
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1. (4 pts) the length of a rectangle is 5 less than twice the width. if…
Length = 47, Width = 26 ### 2.
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solve the given inequality. write the solution set using interval notat…
The solution set in interval notation is \((4,\infty)\). On the number - line, there is an open circle at 4 and the line is shaded to the right of 4.
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21. a farmer plants trees in a straight row that is 21 feet long. the t…
4 ### 22.
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21. a farmer plants trees in a straight row that is 21 feet long. the t…
For question 21: 4 trees For question 22: B. 3
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ge is the angle bisector of ∠hgf. find m∠egf if m∠hge=(3x)° and m∠hgf =…
$x = 6$ $m\angle EGF=18^{\circ}$
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jb bisects ∠ijk. find m∠ijb if m∠bjk=(3x - 5)° and m∠ijb=(x + 37)°. x= …
$x = 21$ $m\angle IJB=58^{\circ}$
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20. critique reasoning in a proof, alex wrote the following step: ab = …
The error is that Alex misused the Transitive Property of Congruence. Statements and Reasons: **Statement 1**: \(AB = 7\) and \(BC=7\) **Reason 1**: Given **Statement 2**: \(\over…
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bc is the angle bisector of ∠abd. find m∠abc if m∠abd = 72°. m∠abc =
$36^{\circ}$
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cf bisects ∠bcd. find m∠fcd if m∠bcf=(x - 6)° and m∠bcd=(x + 35)°. x = …
$41^{\circ}$
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question 1 - 16 read the statement. \if a figure is a square, then it i…
If a figure is a rhombus, then it is a square: Converse If a figure is not a square, then it is not a rhombus: Inverse If a figure is not a rhombus, then it is not a square: Contr…
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cf bisects ∠bcd. find m∠fcd if m∠bcf=(x - 6)° and m∠bcd=(x + 35)°. x= m…
$x = 47$ $m\angle FCD=41^{\circ}$
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using the diagram below solve for x. desmos x = 25 x = 16 x = 20 x = 19
x = 16
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mb intersects ∠amc. which of the following statements is true? ∠amb = ∠…
$\angle AMB+\angle BMC=\angle AMC$
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which statements must be true about these angles? choose all that are c…
$\angle1\cong\angle4$ $m\angle2 + m\angle4 + m\angle6=180^{\circ}$ $\angle3\cong\angle5$ $m\angle2 + m\angle3 + m\angle4=180^{\circ}$ $m\angle2 + m\angle3=m\angle5 + m\angle6$
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find the value of \a\ and $overline{ln}$ if m is the midpoint of ln. mn…
a = 12; LN = 48
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bc is the angle bisector of ∠abd. find m∠abc if m∠cbd = 37°. m∠abc =
$37^{\circ}$
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sq bisects ∠rst, and m∠rsq = 3x - 9. write an expression for ∠rst. the …
$6x - 18$
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in the figure, $overrightarrow{gk}$ bisects $angle fgh$. if $mangle fgk…
29
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state a counterexample to the definition below: a figure with four righ…
A rectangle has four right angles
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jl bisects ∠ljk, m∠ljl=(12x - 2)°, and m∠ljk=(8x + 6)°. find m∠ljl. m∠l…
$m\angle IJL = 22^{\circ}$
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question: consider the function y = 2 sin(x) for 0° ≤ x ≤ 360°. 1. grap…
The key points are: x - intercepts $(0^{\circ},0),(180^{\circ},0),(360^{\circ},0)$; maximum point $(90^{\circ},2)$; minimum point $(270^{\circ},-2)$. Plot these points and draw a …
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given a graph, explain how you can identify the x - and y - intercepts.…
To find the x - intercept, look for the points on the graph where y = 0. To find the y - intercept, look for the points on the graph where x = 0.
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18. lee begins to build a model of a barn by arranging the framing stic…
Group 1: \(AB\), \(CD\); Group 2: \(EF\), \(KL\); Group 3: \(IJ\), \(GH\), \(RS\)
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j, k, and l are points on the same segment, and k is between j and l. 1…
14. 9 15. 12 16. \(x = 2\), \(JK = 10\) 17. 14
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use the segment addition postulate to find the missing lengths. 9. ab =…
9. \(AC = 10\) 10. \(AC = 14\) 11. \(BC = 2\) 12. \(BC = 8\) 13. \(AC = 21\)
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state the property of congruence that makes each statement true. the fi…
2. Reflexive Property of Congruence 3. Transitive Property of Congruence 4. Symmetric Property of Congruence 5. Reflexive Property of Congruence 6. Symmetric Property of Congruenc…
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question: consider the function y = 2 sin(x) for 0° ≤ x ≤ 360°. 1. grap…
Points to plot: $(0,0),(90,2),(180,0),(270,-2),(360,0)$ and then draw a smooth sine - curve through them.
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question: consider the function y = 2 sin(x) for 0° ≤ x ≤ 360°. 1. grap…
The x - intercepts are $(0,0),(180,0),(360,0)$, the maximum point is $(90,2)$, and the minimum point is $(270,-2)$. Plot these points and connect them with a smooth curve to graph…
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question: consider the function y = 2 sin(x) for 0° ≤ x ≤ 360°. 1. grap…
The graph of $y = 2\sin(x)$ for $0^{\circ}\leq x\leq360^{\circ}$ has x - intercepts at $(0,0)$, $(180,0)$, $(360,0)$, a maximum point at $(90,2)$ and a minimum point at $(270,-2)$…
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question: consider the function y = 2 sin(x) for 0° ≤ x ≤ 360°. 1. grap…
To graph the function $y = 2\sin(x)$: - X - intercepts: $(0,0),(180,0),(360,0)$ - Maximum point: $(90,2)$ - Minimum point: $(270,-2)$ Plot these points and draw a smooth sine - cu…
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question: consider the function y = 2 sin(x) for 0° ≤ x ≤ 360°. 1. grap…
The key points are $(0,0),(90,2),(180,0),(270,-2),(360,0)$. Plot these points and draw a smooth sine - curve within the interval $0^{\circ}\leq x\leq360^{\circ}$.
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examples 1 and 2 additional practice use the graph to estimate the x - …
For graph 1: x - intercepts: x≈ - 2,x≈2; y - intercept: y≈ - 1; Positive: - 2<x<2; Negative: x < - 2 or x>2. For graph 2: x - intercepts: x≈ - 1,x≈1; y - intercept: y = 0; Positiv…