幾何
三角形、圓、解析幾何與證明題。
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3 use the distance formula to write an equation of the parabola. an equ…
\(y=\frac{1}{4}x^{2}\)
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which pair of undefined terms is used to define a ray? point and line p…
point and line
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which is the definition of a line segment? a part of a line that has on…
a part of a line that has two endpoints
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37. find the area of the shaded part in the figure shown below. (use $\…
\(472.5\) square inches
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s.6 angle - angle criterion for similar triangles △mkl and △ijk are sho…
$\triangle MKL$ is similar to $\triangle IJK$.
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in the diagram, ( defgcong qmnp ). find the values of ( x ) and ( y ).
# Explanation: ## Step1: Use the property of congruent polygons (corresponding sides are equal) Since \(DEFG\cong QMNP\), then \(QM = GF\). Given \(GF = 12\) ft and \(QM=(x - 2)\)…
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find the values of x and y. x = 15 and y = 7 x = 12 and y = 6 x = 11 an…
\(x = 15\) and \(y = 7\) (the first option)
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can the triangles be proven congruent? if possible, what rule are you u…
Not Congruent
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name the postulate, if possible, that makes the triangles congruent. aa…
A. AAS
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3.29. raksha is puzzled. she is working with the parallelogram drawn at…
a. Zoom factor \(k=\frac{1}{2}\), new dimensions: \(8\) and \(5.5\) b. The common ratio between pairs of corresponding sides for congruent shapes is \(1\)
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6. given \\( \\triangle a c p \\cong \\triangle l n x \\), find each mi…
a) \(XL = 13\mathrm{cm}\) b) \(AC=21\mathrm{cm}\) c) \(PC = 21\mathrm{cm}\) (since \(NX = 21\mathrm{cm}\) as \(LN = NX\) and \(PC = NX\) by congruence) d) \(m\angle L=29^{\circ}\)…
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what does the point a represent? a regular pentagon with a perimeter of…
A regular pentagon with a perimeter of 15 inches has a side length of 3 inches.
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3.1.3 geometry homework name: 3 - 29. rashna is puzzled. she is working…
Perimeter of Original: \(24\) Area of Original: \(30\) Perimeter of Enlarged: \(48\) Area of Enlarged: \(120\) When comparing the perimeters: The perimeter of the enlarged figure …
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an angle measures 145 degrees. what is its supplement? be precise in th…
35
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two angles are supplementary. the smaller angle is 40 degrees less than…
110
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question 11 1 pts an angle measures 16.7 degrees. what is its complemen…
73.3
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5. given ( \triangle bcmcong\triangle zyr ), find each missing measure.…
a) \(CM = 11m\) b) \(BM = 15m\) c) \(YZ = 8m\) d) \(m\angle B=45^{\circ}\) e) \(m\angle M = 32^{\circ}\) f) \(m\angle Y=103^{\circ}\)
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an angle measures 17 degrees. what is its supplement? be precise in the…
163
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each figure shows a triangle with one or more of its medians. 1) find u…
\(8.5\)
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$\\triangle abc$ is similar to $\\triangle xyz$. $ab$ is 9 feet and $bc…
\(4\)
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3 - 55. remember that two figures are similar whenever there is a seque…
a. All circles are similar because we can use a translation (to move the center of one circle to the center of another) and a dilation (to adjust the size) to map one circle onto …
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7 multiple choice 1 point find the height of a triangle with an area (a…
C. 10 inches ### Question 8
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3 - 55. remember that two figures are similar whenever there is a seque…
a. All circles are similar because we can always use a translation (to move the center) and a dilation (to adjust the radius) to map one circle onto another. b. Spheres are always…
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a triangle has one angle that is 33 degrees. it has another angle that …
106
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△abc is similar to △xyz. ab is 9.9 feet and bc is 4.9 feet while xy is …
\(6.3\)
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two angles are complementary. the smaller angle is 47 degrees less than…
21.5
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3 - 54 decide if each pair of triangles below is similar. if the triang…
- a. Similar (by AA similarity, transformation: dilation). - b. Similar (by AA similarity, transformation: dilation). - c. Not similar (side - side - side ratios not equal). - d. …
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a triangle has one angle that is 46.7 degrees. it has another angle tha…
\(89.8\)
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an angle measures 19 degrees. what is its complement? you only need to …
71
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1. write three valid congruency statements given the triangles below. a…
a) \(\triangle TPW\cong\triangle DGH\) b) \(\triangle TWP\cong\triangle DHG\) c) \(\triangle PWT\cong\triangle GHD\)
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the volume of a rectangular prism with length ( l ), width ( w ), and h…
270
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the volume of a pyramid with base area b and height h is \\( \\frac { 1…
8
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a right triangular prism and its net are shown below. (all lengths are …
- \(A = 4\) ft - \(B = 6\) ft - \(C = 4\) ft (correction: in the net, the side \(C\) is the other non - hypotenuse side of the right - triangle. Since the right - triangle has leg…
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a right triangular prism and its net are shown below. (all lengths are …
a) \(A = 4\) ft, \(B = 6\) ft, \(C = 3\) ft, \(D = 5\) ft b) \(84\) \(ft^{2}\)
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\geq - 7\) For the number - line: Place a closed circle at \(-7\) (because the inequality is \(\geq\)) and draw a line to the right.
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how will the coordinates of the vertices of △abc compare to the coordin…
The \(y -\)coordinate of each vertex of \(\triangle A'B'C'\) is the same as the \(y -\)coordinate of the corresponding vertex of \(\triangle ABC\). (Since the problem is about fil…
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are these shapes congruent? work it out not feeling ready yet? these ca…
no
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are these shapes similar? yes no
no
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are these shapes similar?
yes
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which quadrant has points with negative x - coordinates and negative y …
Quadrant III
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how can you move the trowel to the new point where the dinosaur bone is…
Move the trowel \(3\) units left, then \(2\) units down.
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in the figure below, ( k parallel l ) and ( m parallel n ). find the va…
\(x = 77\), \(y = 37.2\)
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complete the table to show the coordinates of the vertices of △abc. △ab…
\(C'(4,1)\)
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the table shows the coordinates of the vertices of △rst and its image. …
10 units to the left
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match each translation of the point (1, - 2) to the coordinates of its …
3 units left \(\to(-2,-2)\); 3 units right \(\to(4,-2)\); 3 units up \(\to(1,1)\); 3 units down \(\to(1,-5)\)
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which coordinate is the same as the x - coordinate of point a? y - coor…
Opposite of \( x \)-coordinate of point \( A \)
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solve for $x$ and graph the solution on the number line below. $-1 \\le…
Inequality Notation: \(x\leq3\) For the number line: Draw a number line. Place a closed circle at \(3\) (because the inequality is \(\leq\), so \(3\) is included in the solution s…
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w is the midpoint of \\( \\overline{tv} \\) and \\( \\overline{su} \\).…
3. Definition of mid - point; 4. Definition of mid - point; 5. Vertical angles theorem.
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determine a series of transformations that would map figure j onto figu…
First, reflect Figure \(J\) over the \(x\) - axis, and then translate the resulting figure 6 units to the right.
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which figure is a reflection of figure g? figure h which axis is the li…
Figure \(H\) is the reflection of figure \(G\). The line of reflection is \(y -\)axis.
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the radius of a circle is 7 inches. what is the circles circumference? …
\(43.98\) inches
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the circumference of a circle is 50.24 inches. what is the circles radi…
\(8.00\) inches
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the circumference of a circle is 43.96 millimeters. what is the circles…
\(7.00\)
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the following figure is a rectangle made up of two smaller rectangles. …
(a) The light rectangle: \(7x\); The dark rectangle: \(28\) (b) As a sum of two areas: \(7x + 28\); As a product of the length and width: \(7(x + 4)=7x+28\)
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the diameter of a circle is 26 meters. what is the circles circumferenc…
\(81.68\) meters
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the radius of a circle is 19 centimeters. what is the circles circumfer…
\(119.38\) centimeters
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the circumference of a circle is 25.12 feet. what is the circles diamet…
\(8.00\)
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the diameter of a circle is 24 feet. what is the circles circumference?…
\(75.40\)
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the following figure is a rectangle made up of two smaller rectangles. …
(a) The dark rectangle: \(21\); The light rectangle: \(7x\) (b) As a sum of two areas: \(21 + 7x\); As a product of the length and width: \(7(3 + x)\)
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the circumference of a circle is 6.28 millimeters. what is the circles …
\(1.00\) millimeters
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the circumference of a circle is 12.56 meters. what is the circles diam…
\(4\) meters
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the radius of a circle is 13 kilometers. what is the circles circumfere…
\(81.68\) kilometers
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the diameter of a circle is 8 feet. what is the circles circumference? …
\(25.13\)
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8. consider the angles in the attached diagram. write an equation and s…
\(x = 15\)
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5. what is the total perimeter of this figure? show or explain your thi…
The total perimeter of the figure is \(41.12\) cm.
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9. consider the diagram. 9a solve for x.
\(x = \frac{92}{7}\)
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12. use the pythagorean theorem to determine whether this is a right tr…
No
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13. calculate the value of c in the triangle below. c cm 48 cm 14 cm
\(50\)
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the vimons live on a corner lot. often, children cut across their lot t…
22 feet
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the screen on a handheld device has dimensions 7 cm by 5 cm, and a diag…
\(8.60\)
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b. complete the table showing how far this wheel travels for each numbe…
| Number of Rotations | Distance (cm) | | ---- | ---- | | \(1\) | \(70\pi\) | | \(2\) | \(140\pi\) | | \(5\) | \(350\pi\) | | \(10\) | \(700\pi\) |
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14. calculate the value of x in the triangle below rounded to two decim…
$32.80$
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4. a wheel has a radius of 35 centimeters. a. determine its circumferen…
The circumference of the wheel is approximately \(219.8\) cm.
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17. the area of a rectangle is $\frac{1}{2}$ square inch. the length of…
The width of the rectangle is \(\frac{4}{3}\) inch.
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3. here is a graph of the radius and circumference measurements of seve…
\(2\pi\)
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2. this circle has a circumference of 40 centimeters. what is the lengt…
C. \(\frac{40}{\pi}\) centimeters
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1. complete the table: object radius (mm) diameter (mm) circumference b…
| Object | Radius (mm) | Diameter (mm) | Circumference | | ---- | ---- | ---- | ---- | | Button | \(6\) | \(12\) | \(12\pi\approx37.68\) | | Cucumber slice | \(19\) | \(38\) | \(3…
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solve for x and graph the solution. x² + 2x - 8 < 0 plot the endpoints.…
The solution of the inequality \(x^{2}+2x - 8<0\) is \(-4<x<2\). On the number - line, we plot open circles at \(x=-4\) and \(x = 2\) and shade the region between them.
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find the area of the rectangle in square feet. round your answer to the…
\(60.3\)
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write a linear equation to model the scenario. use x for the unknown va…
\(4x=\frac{1}{3}\times2(2x + 4)\)
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solve for x and graph the solution. 2(x - 1)(x - 4) ≤ 0 plot the endpoi…
The solution of the inequality \(2(x - 1)(x - 4)\leq0\) is \(x\in[1,4]\). On the number line, we plot a closed circle at \(x = 1\) and \(x = 4\) and shade the line segment between…
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the diameter of a circle is 62 centimeters. what is the circles area? r…
\(3019.08\) square centimeters
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solve for ( x ) and graph the solution. ( -4(x + 1)(x + 2) geq 0 ) plot…
The solution of the inequality \(-4(x + 1)(x + 2)\geq0\) is \(x\in[-2,-1]\). On the number - line, we plot closed circles at \(x=-2\) and \(x =-1\) and shade the segment between t…
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solve for x and graph the solution. -(x + 3)(x - 3) ≤ 0 plot the endpoi…
The solution of the inequality \(-(x + 3)(x - 3)\leq0\) (or \((x + 3)(x - 3)\geq0\)) is \(x\leq - 3\) or \(x\geq3\). On the number - line, we plot closed circles at \(x=-3\) and \…
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solve for x and graph the solution. 5(x + 1)(x + 5) > 0 plot the endpoi…
The solution of the inequality \(5(x + 1)(x + 5)>0\) is \(x<-5\) or \(x>-1\). On the number - line, we have open circles at \(x=-5\) and \(x=-1\) (because the inequality is strict…
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the radius of a circle is 47 meters. what is the circles area? round yo…
\(6939.78\)
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solve for x and graph the solution. 5x(x - 4) ≤ 0 plot the endpoints. s…
The solution of the inequality \(5x(x - 4)\leq0\) is \(0\leq x\leq4\). On the number line, we plot closed circles at \(x = 0\) and \(x = 4\) and shade the segment between them.
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the diameter of a circle is 96 feet. what is the circles area? round yo…
\(7238.23\) square feet
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solve for x and graph the solution. 3(x + 2)(x - 3) < 0 plot the endpoi…
The solution of the inequality \(3(x + 2)(x - 3)<0\) is \(x\in(-2,3)\). On the number - line, we plot open circles at \(x=-2\) and \(x = 3\) (because the inequality is strict, i.e…
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the radius of a circle is 11 yards. what is the circles area? round you…
\(380.13\) square yards
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the radius of a circle is 1 kilometer. what is the circles area? round …
\(3.14\) square kilometers
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23. the ratio of the angles in a triangle is 2:3:4. what are the measur…
The measures of the three angles are \(40^{\circ}\), \(60^{\circ}\), and \(80^{\circ}\)
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solve for x and graph the solution. (x + 1)(x - 4) > 0 plot the endpoin…
The solution of the inequality \((x + 1)(x - 4)>0\) is \(x<-1\) or \(x>4\). On the number - line, we have an open circle at \(x=-1\) (since the inequality is strict, \(x eq - 1\)…
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the diameter of a circle is 26 meters. what is the circles area? round …
\( 530.93\) square meters
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solve for x and graph the solution. (x - 3)(x - 4) ≥ 0 plot the endpoin…
The solution of the inequality \((x - 3)(x - 4)\geq0\) is \(x\leq3\) or \(x\geq4\). On the number - line, we plot closed circles at \(x = 3\) and \(x = 4\). The graph consists of …
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the radius of a circle is 16 feet. what is the circles area? round your…
\(804.25\)
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les adjectifs irréguliers mettre tout en pratique ~ put it all into pra…
1. Underline: est; Square: responsable; Circle: Marko; masculin, singulier 2. Underline: sommes; Square: actifs; Circle: Nous; masculin, pluriel 3. Underline: êtes; Square: mignon…
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solve for x and graph the solution. (x - 1)(x + 1) ≥ 0 plot the endpoin…
The solution of the inequality \((x - 1)(x + 1)\geq0\) is \(x\leq - 1\) or \(x\geq1\). On the number - line, we plot closed circles at \(x=-1\) and \(x = 1\), and shade the region…
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the diameter of a circle is 4 millimeters. what is the circles area? ro…
\(12.57\)
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the radius of a circle is 8 miles. what is the circles area? round your…
\(201.06\)