Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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given right triangle xyz, what is the value of tan(60°)? options: √3 √3…
$\sqrt{3}$ (corresponding to the first option with $\sqrt{3}$)
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semester b consider quadrilateral efgh what is the length of line segme…
16 units
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segment mp is a diameter of circle o which equation can be used to find…
\( m\overset{\frown}{MN} + 150 = 180 \) (the first option)
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what is the length of line segment lj? 12 units 18 units 9 units 15 uni…
18 units
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a) fill in the table. | triangle | $a^2$ | $b^2$ | $a^2 + b^2$ | $c^2$ …
### Part A: Triangles with Given Sides (by Length) #### Triangle 1: \( BC = 12 \) in, \( AC = 5 \) in, \( AB = 13 \) in Let \( a = 5 \), \( b = 12 \), \( c = 13 \) (hypotenuse, lo…
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kite efgh is inscribed in a rectangle such that f and h are midpoints a…
The area of EFGH is always $\frac{1}{2}$ of the area of the rectangle. (The second option)
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triangles sheet1 a) fill in the table. triangle | ( a^2 ) | ( b^2 ) | (…
triangle is right. ### For the second triangle (a = 12 ft, b = 18 ft, c = 20 ft? Wait, the diagram: sides 12, 18, 20? Wait, \(12^2 + 18^2 = 144 + 324 = 468\), \(20^2 = 400\). Wait…
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to manage cash efficiently, a company should try to collect payment for…
C. as quickly as possible (assuming the third option is labeled C; if the third option's identifier is, say, the third circle, then "The third option (as quickly as possible)")
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4. the hobo and the fairy joe a. lunden it was ten on a broken clock. s…
A. Rubble
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a contractor is presenting the floor plan for a house. the client likes…
The bottom - left figure (the third option when considering the four figures in a 2x2 arrangement, with the circle to the left of it)
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substitute the given values into the given formula and solve for the un…
\( c = 13 \)
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use the your reasomng sample problem tommy drew a quadrilateral. he use…
2 ### Now, let's solve the kite perimeter problem (assuming the perimeter is 28 cm and shorter sides are 10 cm? Wait, the text is a bit unclear, but let's assume the kite has two …
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use the given information to answer each question. explain your reasoni…
No, because a rhombus requires all four sides to be of equal length, but Sally's wood pieces have two sides of 5 inches and two sides of 3 inches (not all four sides equal).
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31.) $\\triangle fgh$ is an equilateral triangle with $fg = x + 8$, $gh…
s: ## Problem 31: \( x = \boldsymbol{15} \), \( FG = \boldsymbol{23} \), \( GH = \boldsymbol{23} \), \( FH = \boldsymbol{23} \) ## Problem 32: \( x = \boldsymbol{3} \), \( LM = \b…
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18. solve to find the volume(v). reminders: radius(r) is half of the di…
The volume of the cylinder is \( 192 \, \text{cubic centimeters} \) (or \( 192 \, \text{cm}^3 \)).
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use the given information to answer each question. explain your reasoni…
75
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17. find the missing angle(s).
\(70^\circ\)
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6. the perimeter of a rectangle is 80 feet. if the area is 336 square f…
The side lengths are 12 feet and 28 feet.
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15. identify the transformation (rotation, reflection, dilation, transl…
Rotation
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use the given information to answer each question. explain your reasoni…
Magda is not correct. An isosceles trapezoid has only one pair of parallel sides, while a parallelogram has two pairs of parallel sides. So an isosceles trapezoid is not a paralle…
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14. use the pythagorean theorem to find c. round to the nearest tenth.
\(c = 10\)
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9. melanie and james were discussing the figures shown in the graph bel…
Melanie should explain that the two figures are congruent because one can be mapped onto the other using rigid transformations (translation, rotation, reflection), meaning they ha…
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use the given information to answer each question. explain your reasoni…
2 pairs ### For the second question (Simon's isosceles trapezoid diagram): (Note: Since it's a drawing request, here's a description of how to draw it)
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in quadrilateral abcd, m∠a = 72°. determine m∠c. enter the answer in th…
\(108\)
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in quadrilateral abcd, m∠d = 93. determine m∠b. enter the answer in the…
\(87\)
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in quadrilateral abcd, m∠d = 112. determine m∠b. enter the answer in th…
\(68\)
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determine m∠c. enter the answer in the space provided. use numbers inst…
\( 90 \)
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dcba is a rhombus. if m∠boa = 6x + 3, find x.
\( x = 14.5 \) (or \( x=\frac{29}{2} \))
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in quadrilateral quad, m∠a = 62°. determine m∠q. enter the answer in th…
118
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in quadrilateral abcd, m∠b = 75°, determine m∠d. enter the answer in th…
105
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the area of the trapezoid is 250 square yards. 7 yd. 27 yd. 13 yd. what…
25
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15. triangle lmn is plotted on a coordinate plane. it is translated 5 u…
\((x,y)\to(x - 5,y + 3)\) (the second option among the given choices)
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17. 45 45 90 triangle with 60°, 45°, right angles, sides x, y, 39, z x …
17. \(x = 26\sqrt{3}\), \(y = 13\sqrt{3}\), \(z = 39\sqrt{2}\) 18. \(x = 20\sqrt{2}\), \(y = 10\sqrt{2}\), \(z = 10\sqrt{6}\) 19. \(x = 6\), \(y = 12\), \(z = 12\sqrt{2}\) 20. \(x…
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14. triangle abc is graphed on a coordinate grid so that a is (5,7), b …
A. \( XY \)
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construct an equilateral triangle (not inscribed in a circle). use the …
An equilateral triangle is constructed with side \( AB \), and vertices \( A \), \( B \), \( C \) where \( \angle A=\angle B = \angle C=60^{\circ} \) and \( AB = BC=AC \). (The ac…
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13. which triangles are congruent by asa? options: δade and δcbf, δcde …
\(\boldsymbol{\triangle ADC}\) and \(\boldsymbol{\triangle CBA}\) (the option corresponding to \(\triangle ADC\) and \(\triangle CBA\))
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select all the correct answers. identify the figures below that have re…
1. Pink regular hexagon 2. Blue rhombus 3. Dark blue square
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11. jayce is considering the rectangle shown. the length of each side i…
No, Jayce is incorrect. In order to double the perimeter, each side length has to be doubled.
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 45\)
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15. (image of a geometric figure with right triangles, labeled x, 14√2,…
\( x = \boldsymbol{14} \), \( y = \boldsymbol{14} \), \( z = \boldsymbol{28} \)
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9) a 2-meter street sign casts a 0.3-meter shadow. at the same time, an…
The length of the telephone pole's shadow is \( 1.23 \) meters. ### Problem 10:
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9. dean is building a gazebo with a floor shaped like a regular hexagon…
259.8 square feet
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2. prove: the diagonals of a rhombus bisect the angles to which they ar…
To prove that the diagonals of a rhombus bisect the angles to which they are drawn (i.e., \( \angle 1\cong\angle 2 \) and \( \angle 3\cong\angle 4 \)): ### Part 1: Prove \( \angle…
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arrange and connect the nodes to complete the flow chart proof. you can…
The flow - chart should be arranged such that the statement "\(\angle OUO\) (or \(\angle GUO\)) and \(\angle GUQ\) are supplementary" comes first, then " \(\angle GUQ\) and \(\ang…
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which angle is vertical to ∠1? ∠3 ∠4 ∠5 ∠2
∠3
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which angle is vertical to ∠3? ∠5 ∠4 ∠1 ∠2
$\angle 1$ (or the option with $\angle 1$)
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multiple choice 5 points which diagram shows the construction of a perp…
1) The diagram labeled 1 (with two pairs of intersecting arcs above and below segment \( AB \), forming a perpendicular line through \( AB \)'s midpoint)
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look at this diagram: diagram with lines oq, rt (parallel), and transve…
\( 51^\circ \)
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look at this diagram: diagram of two parallel vertical lines (ce and fh…
\( 110^\circ \)
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look at this diagram: diagram with lines hj, km, and gn intersecting at…
\( 49^\circ \)
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4) 4x + y = 2 x - y = 3
The solution to the system of equations is \(x = 1\) and \(y=-2\), or the ordered pair \((1,-2)\).
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look at this diagram: if \\overleftrightarrow{km} and \\overleftrightar…
\( 47 \)
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find ( mangle e ). write your answer as an integer or as a decimal roun…
\( 53.1 \)
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6 fill in the blank 6 points solve for x. (5x - 25)° (3x + 9)° type you…
\(17\) ### Question 7
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suppose we are given the following. line 1 passes through (2, 2) and (4…
(a) Slope of Line 1: \(\frac{5}{2}\) Slope of Line 2: \(\frac{5}{2}\) Slope of Line 3: \(\frac{5}{2}\) (b) Line 1 and Line 2: Parallel Line 1 and Line 3: Parallel Line 2 and Line …
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find m∠t. write your answer as an integer or as a decimal rounded to th…
\( 59.9 \)
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3 fill in the blank 6 points quadrilateral klmn is a parallelogram. fin…
11 ### Question 4 (Multiple Choice)
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find m∠d. write your answer as an integer or as a decimal rounded to th…
\( 29.1 \)
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consider the line -3x + 2y = 8. find the equation of the line that is p…
Equation of parallel line: \(y=\frac{3}{2}x - 11\) (or \(3x - 2y=22\)) Equation of perpendicular line: \(y = -\frac{2}{3}x-\frac{7}{3}\) (or \(2x + 3y=-7\))
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1 fill in the blank 5 points find the degree measure of n. triangle wit…
\(143\) ### Sub - Question 2
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find m∠y. write your answer as an integer or as a decimal rounded to th…
\( 23.2 \)
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17. a line with slope -7/3 passes through (-2, 5). which standard-form …
B. $7x + 3y=11$
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1 multiple choice 15 points based on the construction below, which conc…
2. $AB = CD$
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graph the following system of equations: \\(\\begin{cases} y = 5x - 1 \…
The solution of the system of equations is \(x = 2,y = 9\) (or the ordered pair \((2,9)\))
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multiple choice 14 points what is the first step in constructing the an…
D. From point A, draw an arc that intersects the sides of the angle at points B and C
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3 multiple choice 14 points which illustration shows the correct constr…
4. Option 4
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15x+4y+(-9x)+7y (15+(-9))x+(4+7)y=6x+11y find the perimeter of a rectan…
\( 12x + 2 \)
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4 multiple choice 14 points line segment ab is shown in the diagram bel…
2) I and III
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5 multiple choice 14 points a straightedge and compass were used to cre…
4
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the diagram below shows the construction of line m, parallel to line l,…
4) If two lines are cut by a transversal and the corresponding angles are congruent, they are parallel.
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which triangle can be constructed using the following steps? 1. put the…
equilateral (or the option with "equilateral" text, e.g., D. equilateral if options were labeled, but from the choices, the correct one is the "equilateral" option)
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4 multiple answer 25 points how can you show that the figure below is a…
- Show that there are four right angles by using the slope formula. - Show the diagonals are congruent by using the distance formula.
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no additional details were added for this assignment. parallelogram abc…
\( y = 7 \)
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which statement can be used to prove that a given parallelogram is a re…
The diagonals of the parallelogram are congruent. (The last option: "The diagonals of the parallelogram are congruent.")
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question find the coordinates of the vertex of the following parabola a…
\((0, -9)\)
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h.13 sequences of congruence transformations: choose the sequence 802 t…
a rotation 90° counterclockwise around the origin followed by a translation right 2 units and up 3 units
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2026 15 of 25 proves $\\triangle abc \\sim \\triangle dec$? \\bigcirc s…
AA Similarity
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using the graph, determine the coordinates of the x-intercepts of the p…
The x - intercepts are \( (1,0) \) and \( (8,0) \)
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b. 1 mile = 5,280 d. 1 ________________ = 7 days f. 1 ________________ …
The length of the third line is between \(1\) inch and \(5\) inches (e.g., \(2\) inches, \(3\) inches, \(3.6\) inches depending on triangle type). If we assume a simple non - righ…
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a reflection over the line y = -2, followed by a 90° clockwise rotation…
D. A reflection over the line \( y = -2 \), followed by a \( 90^\circ \) clockwise rotation about point \( A \)
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which statement is true about the system of linear equations graphed in…
It has no solution.
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math - 8th grade 10. a student correctly graphs two lines on the coordi…
-1
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32. find the value of y so that \\( \\overline{ab} \\parallel \\overlin…
\(y=\frac{107}{12}\) (or approximately \(8.92\))
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in the figure below, k || l and m || n. find the values of z and y. (5y…
\( z = 105 \), \( y = 20 \)
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section b 7. what algebraic expression represents the area of the shade…
\(12x + 26\) ### Question 8a
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in the right triangle shown, $m\\angle k = 60^{\\circ}$ and $kl = 2$. h…
B. \( 2\sqrt{3} \)
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pregunta 26 given the graph below, what is the best estimate for the so…
D. (2,0)
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c. interior angle = 135° \\frac{n - 2(180)}{n} = 135\\cdot n n - 2(180)…
The number of sides of the regular polygon is 8.
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question: in the coordinate plane, points a, b, and c have coordinates …
The figure formed by points \(A\), \(B\), and \(C\) is a right - triangle. ### Sub - Question 2
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
The graph is an ellipse centered at the origin with vertices at \((0, 3)\), \((0,-3)\) and co - vertices at \((2,0)\), \((-2,0)\), and it is symmetric about the \(x\) - axis and \…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) gra…
绘制的椭圆以原点\((0,0)\)为中心，顶点为\((0, \pm3)\)，共顶点为\((\pm2, 0)\)，用平滑曲线连接这些点得到椭圆图像（图中标记点\((0, 3)\)、\((0, -3)\)、\((2, 0)\)、\((-2, 0)\)并平滑连接）。
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pregunta 3 3 puntos eloise was given the following problem: a rectangle…
1. \( l = 6.8 \) ft 2. \( A = 48.28 \) \( \text{ft}^2 \) 3. D
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the radius of a ball is 3 cm. what is the volume of the ball? a ( 36pi …
A. \( 36\pi \, \text{cm}^3 \)
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a cone and a cylinder have equal - sized bases with an 8 in. diameter. …
E. Find the volume of the cylinder. Divide the cylinder’s volume by 3 to find the volume of the cone.
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a 65-foot ladder is placed 25 feet from a building as shown in the pict…
C. 60 ft.
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△abc ~ △def. find the value of x. diagrams of triangles abc and def wit…
A. 26
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of the gym. what is the actual length of the north side of the gym? ? f…
9 (assuming the scale is 1 inch = 1 foot; if scale is different, adjust, but with given info, this is the best guess)
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20 francis scott key wrote the words to what later became known as the …
B. commemorate an American victory in a battle in the War of 1812. ### Question 21
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what is the equation of the line in point - slope form? use the red poi…
\( y + 5 = 5(x - 4) \)
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question 10 of 10 what is the perimeter of the nonagon below? a. 96 uni…
B. 94 units