幾何
三角形、円、座標幾何、証明問題。
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a car is travelling up a slope. the car travels 10km and the road forms…
$8.19$ km
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calculate the unknown length. 4 m 56° ? m
\(2.24\) m
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determine if triangle ijk and triangle lmn are or are not similar, and,…
Triangle \(IJK\) and triangle \(LMN\) are similar by the SAS similarity criterion.
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in the given diagram, calculate x correct to 2 decimal places.
\(22.47\)
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classifying triangles classify the triangle by its angles and by its si…
By angles: obtuse triangle. By sides: isosceles triangle.
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in the given diagram, calculate x correct to 2 decimal places. 18 35° x
\(14.75\)
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determine if triangle ijk and triangle lmn are or are not similar, and,…
The triangles are similar. (By the Side - Angle - Side (SAS) similarity criterion, since the ratio of two pairs of corresponding sides is equal (\(\frac{IJ}{LM}=\frac{JK}{MN}=\fra…
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in the given diagram, calculate x correct to 2 decimal places. 25 42° x
$18.58$
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in the given diagram, calculate x correct to 2 decimal places.
\(10.60\)
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classifying triangles classify the triangle by its angles and by its si…
By angles: obtuse triangle. By sides: scalene triangle.
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use the figure to complete each part.(a) write two other names for \\( …
(a) \(\angle NMQ\) and \(\angle QMN\) (b) \(MQ\) and \(MP\) (c) \(M\)
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classifying triangles classify the triangle by its angles and by its si…
By angles: acute triangle. By sides: isosceles triangle.
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use the figure to complete each part. (a) name the sides of \\( \\angle…
(a) \(\overrightarrow{FG}\) and \(\overrightarrow{FE}\) (b) \(\angle EFH\) and \(\angle HFE\) (c) \(F\)
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an angle measures 19.8° more than the measure of its complementary angl…
\(35.1\) and \(54.9\)
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an angle measures 51.4° less than the measure of its supplementary angl…
\(64.3\) and \(115.7\)
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an angle measures 71.6° more than the measure of its supplementary angl…
\(54.2\) and \(125.8\)
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describe a similarity transformation that maps quadrilateral defg to qu…
You can use a dilation with a scale factor of \(\frac{1}{2}\) followed by a \(90^{\circ}\) clockwise rotation about the origin.
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complete the steps to find the value of x. 118° 4 (8x + 6)° (8x + 6)° =…
\((8x + 6)^{\circ}=m\angle\boldsymbol{4}\)；\((8x + 6)^{\circ}=\boldsymbol{62}^{\circ}\)；\(8x=\boldsymbol{56}\)；\(x = \boldsymbol{7}\)
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find the coordinates of point ( p ) along the directed line segment ( a…
\(P(-0.2,2.2)\)
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find the coordinates of point p along the directed line segment ab, fro…
\(P(2.8,-1)\)
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8. firefighters dig a triangular trench around a forest fire to prevent…
The area is \(130000\space m^{2}\)
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the endpoints of the directed line segment ab are a(1,2) and b(10,5). f…
\(P(4,3)\)
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find the area of this parallelogram. be sure to include the correct uni…
\(154\) square yards
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proving a theorem prove the alternate interior angles theorem. statemen…
First blank (Given): \(p\parallel q\) Second blank (Corresponding Angles Theorem): \(\angle1\cong\angle3\) Third blank (Vertical Angles Congruence Theorem): \(\angle1\cong\angle2\…
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written response as shown in the figure below, ( f = )______. upload a …
\(\sqrt{77}\)
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note: jo march and her husband run a boarding school called plumfield, …
A. Mrs. Jo has authority over Dan and can assign him tasks for the school.
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matching triangles in exercises 10 - 15, match the triangle description…
10. B. Scalene 11. E. Isosceles 12. A. Equilateral 13. D. Equiangular 14. F. Right 15. C. Obtuse
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find the area of this parallelogram. be sure to include the correct uni…
\(154\) square yards
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find the area of this parallelogram. be sure to include the correct uni…
\(84\ \text{m}^2\)
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try again the value in your answer is incorrect. find the area of this …
\(154m^{2}\)
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the graph shows triangles pqr and vwx. is pqr congruent to vwx? justify…
No, because \( \overline{PQ} \) and \( \overline{VW} \) do not have the same length.
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find the area of this parallelogram. be sure to include the correct uni…
\(224\space in^{2}\)
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1 compound fill in the blanks: (fractions are not allowed in the answer…
1. The perimeter of the sector is \(14\); the area of the sector is \(12\). 2. The perimeter of the sector is \(12\); the area of the sector is \(9\).
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find the area of this parallelogram. be sure to include the correct uni…
\(91\) square centimeters
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the surface areas of the cube and the rectangular prism below are_____$…
C. 24, 62
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as shown below, this box is 4 cm long, 2 cm wide, and 1 cm high. an ant…
A. 5
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1 compound as shown in (1), the side length of each small square is 1. …
1. C. 2. \(2\sqrt{5}\)
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4 fill - in - the - blank bryn used 7 small cubes with an edge length o…
\(3\)
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4 compound as shown below, a box has a length of 4 cm, a width of 3 cm,…
1. \(13\) 2. A. Yes
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your answer is incorrect. find the area of the shape. (sides meet at ri…
\(19\) square millimeters
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fill - in - the - blank as shown below, a big tree broke during a hurri…
\(5\)
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polygon abcd ≡ polygon pqrs. bc = 6x + 5, and qr = 5x + 7. find the val…
\(x = 2\) and \(BC = 17\)
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fill - in - the - blank in right triangle ( abc ), ( ac=sqrt{5}mathrm{c…
\(3\)
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△jkl≅△mnp.m∠l=(x² + 10)°, and m∠p=(2x² + 1)°. what is m∠l?
\(19^{\circ}\)
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in the figure below, points h, m, n, and k lie in plane z. points j and…
(a) \(\overleftrightarrow{JL}\) (b) \(K\), \(L\) (c) \(HMN\) (or \(HMK\), \(HNK\), \(MNK\) etc. using three non - collinear points from \(H\), \(M\), \(N\), \(K\)) (d) \(N\), \(K\…
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instructions: for each vocabulary word, choose the correct synonym and …
Synonym: A. Model Antonym: B. Antithesis
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multiple choice (single... as shown below, a tree breaks at a height of…
C. \(8m\)
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8. △abc≅△def. ab = 2x - 10, and de = x + 20. find the value of x and ab.
\(x = 30\) and \(AB = 50\)
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in the figure below, ( mangle1=(x + 46)^{circ} ) and ( mangle2 = 3x^{ci…
\(m\angle1 = 57^{\circ}\), \(m\angle2=33^{\circ}\)
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cosa = \\frac{b^{2}+c^{2}-a^{2}}{2bc} (sss)
The measure of angle \(A\) is approximately \(33.56^{\circ}\)
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nd the value of the variables in the figure. a (4y + 3)° (5x - 7)° (3x …
\( x = 12,y = 31 \)
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find the value of the variables in the given figure. x = 28, y =
\( x = 28\), \( y = 47\)
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cierto y falso 1. un triángulo es una figura formada por tres rectas un…
# Explicaciones breves: 1. Un triángulo está definido como una figura formada por tres rectas (lados) unidas en sus extremos (vértices). 2. El transportador no se utiliza para med…
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complete the parts below. (a) find the rise, run, and slope given by tr…
(a) rise: 2, run: 3, slope: \(\frac{2}{3}\) (b) rise: 4, run: 6, slope: \(\frac{2}{3}\) (c) Yes. They are equal because the two triangles are similar.
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express the interval as an inequality and graph the interval on a numbe…
A. The solution set in set - builder notation is \(\{x|x < - 7\}\) and the correct graph is the one with an open - circle at \(-7\) and a line extending to the left (assuming Opti…
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write the standard form of the equation of the circle with the given ce…
B. \((x + 2)^2+(y + 4)^2=9\)
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the missing variable or angle measure. write the number only as yourwer…
\(25\)
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1) find x.
\(7\)
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in the diagram, a || b. what is m∠1? a. 45° b. 55° c. 95° d. 125°
B. \(55^{\circ}\)
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in the diagram, a || b. what is m∠2? a. 60° b. 80° c. 90° d. 120°
D. \(120^{\circ}\)
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in the diagram, a || b. what is x? a. 54 b. 106 c. 94 d. 86
A. 54
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solve the inequality and graph the solution on the line provided. 11 + …
Inequality Notation: \(x\leq4\) To graph on the number - line: Place a closed circle at \(x = 4\) (because the inequality includes equality, i.e., \(\leq\)) and draw a line to the…
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solve the inequality and graph the solution on the line provided. -6 - …
Inequality Notation: \(x > - 3\) For the number line: Place an open circle at \(-3\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.
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solve the inequality and graph the solution on the line provided. 8 - 4…
Inequality Notation: \(w < 3\) To graph on the number - line: Place an open circle at \(3\) (because \(w = 3\) is not included in the solution) and draw an arrow to the left (towa…
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in the diagram, ( a parallel b ). what is ( mangle1 )? a. ( 122^{circ} …
B. \(118^{\circ}\)
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solve the inequality and graph the solution on the line provided. -16 +…
Inequality Notation: \(x < - 2\) For the number line: Place an open circle at \(-2\) (because the inequality is strict, \(x eq - 2\)) and shade to the left of \(-2\) (since \(x\)…
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solve the inequality and graph the solution on the line provided. -7 + …
Inequality Notation: \(x\leq - 1\) For the number - line: Place a closed circle at \(-1\) (since the inequality is \(\leq\)) and shade to the left of \(-1\) (because \(x\) is less…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x < - 1\). On the number - line, we use an open circle at \(-1\) (since the inequality is strict, \(x eq - 1\)) and shade to the left of \(-1\) (because \(…
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solve the inequality and graph the solution on the line provided. 6 + 7…
Inequality Notation: \(x\leq - 3\) For the number - line: Place a closed circle at \(-3\) (because the inequality is \(\leq\)) and shade to the left of \(-3\) (since \(x\) is less…
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11. triangles pqr and rst are similar right triangles. which proportion…
A. \(\frac{3 - 7}{-4-(-7)}=\frac{-5 - 3}{2-(-4)}\)
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solve the inequality and graph the solution on the line provided. -18 +…
Inequality Notation: \(x > 6\). On the number - line, we have an open circle at \(x = 6\) (because \(6\) is not included in the solution set) and an arrow pointing to the right (t…
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conjunctions read the sentence and circle the conjunction. find the sen…
1. before 2. but 3. While 4. so 5. until 6. because 7. Unless 8. or 9. as soon as 10. after 11. rather than 12. if 13. or 14. In case 15. whereas
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solve the inequality and graph the solution on the line provided. -8 + …
Inequality Notation: \(x\geq7\) For the number line: Place a closed circle at \(7\) (because the inequality is \(\geq\), so \(7\) is included in the solution set) and shade to the…
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solve the inequality and graph the solution on the line provided. 8x + …
Inequality Notation: \(x\geq2\) To graph on the number - line: Place a closed circle at \(x = 2\) (because the inequality is \(\geq\), so 2 is included in the solution set) and dr…
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solve the inequality and graph the solution on the line provided. 2x - …
Inequality Notation: \(x < 3\) For the number - line: Draw an open circle at \(x = 3\) (because the inequality is strict, i.e., \(x eq3\)) and shade the line to the left of \(3\)…
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solve the inequality and graph the solution on the line provided. -13 +…
The solution of the inequality is \(x\leq - 4\). To graph it on a number line: draw a number line, put a closed circle at \(-4\) (because the inequality includes equality, \(\leq\…
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which controversial 5 - 4 decision did the u.s. supreme court make? cir…
B. No recounts! The Florida Supreme Court can't order a recount in some districts of the state but not others. There isn't enough time anyway! Bush wins!
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question ∠1 and ∠2 are complementary angles. if ( mangle1=(x - 1)^{circ…
\(78\)
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25. find the perimeter of the triangle.
The perimeter of the triangle is \(9u + 4\)
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angle terminology with equations question ∠1 and ∠2 are supplementary a…
\(70\)
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question ∠1 and ∠2 are vertical angles. if m∠1 = 1° and m∠2 = (2x - 15)…
\(x = 8\)
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question \\( \\angle 1 \\) and \\( \\angle 2 \\) are supplementary angl…
\(5\)
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question ∠1 and ∠2 are complementary angles. if m∠1 = (8x - 12)° and m∠…
\(36\)
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find the equation for the circle with center (4,2) and passing through …
\((x - 4)^2+(y - 2)^2=113\)
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state the coordinates of the points graphed in the figure below a□ (typ…
A. \((-5,4)\) B. \((-3,8)\) C. \((6,6)\) D. \((3,2)\) E. \((-5,-4)\) F. \((3,-4)\)
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7. focus (4,-2), directrix y = -4 8. focus (1,-9), directrix x = -5 foc…
For problem 7: - Focal width: \(4\) - Vertex: \((4,-3)\) - Equation: \((x - 4)^{2}=4(y + 3)\) For problem 8: - Focal width: \(12\) - Vertex: \((-2,-4)\) - Equation: \((y + 4)^{2}=…
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show that each statement is false by providing a counterexample. (a) if…
(a) \(m\angle1 = 30^{\circ}\), \(m\angle2 = 60^{\circ}\); (b) length \(= 10\), width \(= 12\); (c) \(m\angle ABD = 34^{\circ}\), \(m\angle CBD = 20^{\circ}\); (d) \(m\angle P=30^{…
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sum of angle measures: 360°
\(x = 75\)
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directions: for each problem, circle the representation with the greate…
- **Problem 8**: Circle \(y = x\), star by the table. - **Problem 9**: Circle the graph (\(y = 2x\)), star by \(y=\frac{7}{4}x + 2\). - **Problem 10**: Circle \(y=-0.5x\), star by…
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which of the following is not an example of a student putting their bra…
A student recalling how proud his grandmother was when he made the Honor Roll last year.
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which sequence of transformations maps wxy onto wxy? a rotation 180° ar…
a translation left 8 units and up 3 units followed by a reflection across the \(x -\)axis
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a company manufactures aluminum mailboxes in the shape of a box with a …
\(3370.4\)
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18 mark for review quadrilateral ( pqrs ) is similar to quadrilateral (…
B. \(30^{\circ}\)
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quadrilateral ( pqrs ) is similar to quadrilateral ( pqrs ), where ( p,…
\(30^{\circ}\) (Option B)
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10 in the figure shown two parallel lines are being cut by a transversa…
a. \(∠1\) and \(∠2\): supplementary b. \(∠4\) and \(∠6\): alternate interior c. \(∠7\) and \(∠5\): corresponding d. \(∠2\) and \(∠6\): corresponding e. \(∠4\) and \(∠5\): suppleme…
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9 mark for review a rectangle has a length that is 15 times its width. …
A. The length of the rectangle, in feet
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7 parallel lines p and q are cut by transversal r. complete the sentenc…
\(7\)
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during the cold winter months, a sheet of ice covers a lake near the ar…
\(1.5\)
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which graph shows the inequality ( xgeq0 )?
The graph with a closed - circle at \(0\) and an arrow pointing to the right.
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note: figure not drawn to scale. in the figure, line ( q ) is parallel …
\(57\)