Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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give a pair of alternate exterior angles, a pair of corresponding angle…
(a) Alternate exterior angles: \(\angle1\) and \(\angle8\) (b) Corresponding angles: \(\angle1\) and \(\angle3\) (c) Alternate interior angles: \(\angle2\) and \(\angle7\)
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if these two shapes are similar, what is the measure of the missing len…
14
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question the triangle below is equilateral. find the length of side x i…
\(\frac{10\sqrt{3}}{3}\)
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show that each statement is false by providing a counterexample. (a) if…
(a) \(XY = 30\), \(YZ = 22\) (b) \(m\angle1 = 45\), \(m\angle2 = 45\) (c) \(m\angle P=90\), \(m\angle Q = 45\), \(m\angle R = 45\) (d) length \(=4\), width \(=2\)
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show that each statement is false by providing a counter - example. (a)…
(a) length \( = 4\), width \( = 4\) (b) \(m\angle1 = 45^{\circ}\), \(m\angle2=45^{\circ}\) (c) \(AB = 10\), \(BC = 22\) (d) \(m\angle R=60^{\circ}\), \(m\angle S = 60^{\circ}\), \…
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show that each statement is false by providing a counterexample. (a) if…
(a) \(90\), \(45\), \(45\); (b) \(90\), \(90\); (c) \(9\), \(4\); (d) \(20\), \(30\)
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question the figure below is a square. find the length of side x in sim…
\(4\)
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question the triangle below is isosceles. find the length of side x in …
\(5\sqrt{2}\)
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1. $\\frac{1}{5}-\\frac{1}{10}$ 2. circle three consecutive decimals in…
1. \(\frac{1}{10}\) 2. The three consecutive decimals (column - wise) are \(0.4\), \(0.2\), \(0.2\)
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4. circle the net below that will create a triangular pyramid. a. b. c.…
c.
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the volume of a cylinder with height h and radius r can be found using …
\(785\)
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16. critique the reasoning of others. penny knows that point ( w ) is i…
Penny's claim is not necessarily true. A point in the interior of an angle does not have to bisect the angle. For example, if \(\angle XYZ\) is an angle and \(W\) is a non - bisec…
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15. in this diagram, ( overline{ea} perp overline{ed} ) and ( overline{…
a. \(x = 8\) b. \(m\angle BEC=33^{\circ}\)
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14. ∠l and ∠m are complementary, ( m∠l = 2x + 25 ), and ( m∠m = 4x + 11…
\(m\angle L = 43^{\circ}\) and \(m\angle M=47^{\circ}\)
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13. (overline{qs}) bisects (angle pqr). if (mangle pqs = 5x) and (mangl…
\(20^{\circ}\)
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12. point d is in the interior of ∠abc, m∠abc = 10x - 7, m∠abd = 6x + 5…
\(77^{\circ}\)
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11. construct viable arguments. \\( \\angle rst \\) is adjacent to \\( …
Since \(m\angle RSU=90^{\circ}\), by the definition of a right - angle (\(a\) right - angle has a measure of \(90^{\circ}\)), \(\angle RSU\) is a right angle.
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10. in this diagram, ( mangle1 = 4x + 30 ) and ( mangle3 = 2x + 48 ). w…
\(m\angle2 = 114^{\circ}\)
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9. \\( \\overline { k n } \\) is the angle bisector of \\( \\angle j k …
If we know \(m\angle JKL\), we can find \(m\angle JKN\) by using the formula \(m\angle JKN = \frac{1}{2}m\angle JKL\) (because an angle bisector divides an angle into two equal - …
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question the lengths of the three sides of a triangle (in centimeters) …
\(8\)
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find the center and vertices for this hyperbola: 4x² - 9y² - 24x - 36y …
Center \(=(3,-2)\) Vertices \(=(6,-2)\) and \((0,-2)\)
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. in this figure, ( mangle1 = 4x + 50 ) and ( mangle3 = 2x + 66 ). show…
a. \(x = 8\) b. \(m\angle3=82^{\circ}\) c. \(m\angle2=98^{\circ}\) ### Problem 26 #### a. What is the value of \(x\)?
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find the ends of the major axis and foci of this ellipse. 49x² + 16y² =…
Major axis: \((0,\pm7)\) Foci: \((0,\pm\sqrt{33})\)
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find the radius of the circle. x² + y² = 9 radius = ？
\(3\)
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1. for each question, use the diagram to fill in the blanks to complete…
a. Statements: \(\angle1\cong\angle5\); Reasons: Corresponding Angles Postulate b. Statements: \(\angle3\cong\angle6\); Reasons: Alternate - Interior Angles Theorem c. Statements:…
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find the radius of the circle. 3(x - 5)^{2}+3(y + 9)^{2}=48 radius = ?
$4$
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find the vertex and focus of the parabola: x² + 4x - 8y + 12 = 0 vertex…
Vertex \(=(-2,1)\), Focus \(=(-2,3)\)
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find the vertex and focus of the parabola: x² + 6x - 8y + 1 = 0 vertex …
Vertex \(=(-3,-1)\) Focus \(=(-3,1)\)
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the eccentricity of the conic section below is a. closer to 0 than 1 b.…
A. closer to 0 than 1
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questionthe lengths of the three sides of a triangle (in feet) are cons…
30
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question the lengths of the three sides of a triangle (in feet) are con…
31
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21. (overline{mp}) is the angle bisector of (angle lmn). given that (an…
\(\angle LMN\) is a straight angle. Because an angle bisector \(\overline{MP}\) divides \(\angle LMN\) into two equal right - angles (\(\angle LMP=\angle PMN = 90^{\circ}\)), and …
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question the lengths of the three sides of a triangle (in meters) are c…
\(31\)
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20. in this figure, ( mangle3 = x + 18 ), ( mangle4 = x + 15 ), and ( m…
a. \(x = 9\) b. \(m\angle1=90^{\circ}\) c. No, because \(m\angle3+m\angle1=117^{\circ} eq90^{\circ}\)
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lesson 4 - 2 17. p lies in the interior of \\( \\angle rst \\). \\( m \…
17. B. \(50^{\circ}\) 18. B. \(36^{\circ}\) 19. C. \(29\)
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find the center and vertices for this hyperbola: 4y² - 49x² - 392x + 16…
Center \(=(-4,-2)\) Vertices \(=(-4,5)\) and \((-4,-9)\)
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d. de = 15. leo is running in a 5 - kilometer race along a straight pat…
\(32\)
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find the center and foci of the ellipse. 25x² + 4y² - 150x - 64y + 381 …
Center \(=(3,8)\) Foci \(=(3,8\pm\sqrt{21})\)
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question the length and width of a rectangle are consecutive odd intege…
Width \(=23\) centimeters, Length \(=25\) centimeters
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14. if d is the midpoint of \\( \\overline { c e } \\), \\( c d = x + 7…
a. \(x = 5\) b. \(CD=12\) c. \(CE = 24\) d. \(DE=12\)
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11. in the diagram, $overline{st}$ is aligned with a centimeter ruler. …
\(5\) centimeters
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11. in the diagram, \\overline{st} is aligned with a centimeter ruler. …
The length of \(\overline{ST}\) is \(5\) centimeters.
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find the vertex and focus of the parabola: x² - 10x - 12y - 23 = 0 vert…
Vertex \(=(5,-4)\) Focus \(=(5,-1)\)
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the eccentricity of the conic section below is_____.a. 0b. between 0 an…
d. greater than 1
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lesson 4 - 1 1. if q is between a and m and mq = 7.3 and am = 8.5, then…
1. B. \(1.2\) 2. B. \(5\) 3. A. \(15\) 4. If \(B\) is between \(A\) and \(C\), then \(AC = AB+BC\) 5. Distance along a line (for two points) is a non - negative real number calcul…
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activity 4 practice write your answers on notebook paper. show your wor…
\(4.5\) centimeters
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m∠1 = m∠6 = m∠2 = m∠7 = m∠3 = m∠8 = m∠4 = m∠9 = m∠5 =
\(m\angle1 = 43^{\circ}\), \(m\angle2 = 17^{\circ}\), \(m\angle3 = 120^{\circ}\), \(m\angle4 = 60^{\circ}\), \(m\angle5 = 60^{\circ}\), \(m\angle6 = 60^{\circ}\), \(m\angle7 = 17^…
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14. express the surface area of a cube as a sum of the surface area =
\(x^{2}+x^{2}+x^{2}+x^{2}+x^{2}+x^{2}\)
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write the equation of the conic section shown below.
\(r=\frac{7}{1+\cos\theta}\)
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write the equation of the conic section shown below.
\((y - 3)^2=-8(x + 4)\)
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find the value of x. x = submit
\(24\)
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find the value of x.
\(x = 4\)
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find the value of x. work it out not feeling ready yet? these can help.…
\(8\)
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find the value of x.
\(x = 11\)
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find the value of x.
\(11\)
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find the value of x. x =
\(25\)
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find the value of x.
\(25\)
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look at the diagram. which equation can be used to solve for x? 2(x + 8…
\(x = 55\)
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find the value of x. submit x =
\(1.5\)
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find the value of x. x = submit work it out not feeling ready yet? thes…
\( 198 \)
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look at the diagram. which equation can be used to solve for x? 3x + 13…
The equation \(3x - 1 = 140\) can be used to solve for \(x\), and \(x = 47\)
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look at the diagram. which equation can be used to solve for x? 7x + 34…
\(x = 8\)
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a ladder rests against a tree. if it reaches a height of 40 m from the …
The length of the ladder is \(50\) m and the width of the TV is \(15\) inches.
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a ladder rests against a tree. if it reaches a height of 40 m from the …
The length of the ladder is \(50\) m. The width of the TV is \(15\) inches.
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which postulate would prove the two triangle congruent? sas sss asa aas
SSS
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what triangle congruence postulate would prove that the two triangles a…
SAS
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find the value of x. x =
\(x = 64\)
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find the value of x. work it out not feeling ready yet? these can help …
\(x = 83\)
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look at the diagram. which equation can be used to solve for x? 2x + 94…
The equation is \(2x + 8=86\) and \(x = 39\)
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look at the diagram. which equation can be used to solve for x? 10x = 7…
The equation \(2(x + 5)=78\) is used to solve for \(x\), and \(x = 34\).
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look at the diagram. which equation can be used to solve for x? 3x + 45…
\(x = 45\)
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look at the diagram.which equation can be used to solve for x?3x + 45 =…
If we follow the equation \(3x + 45=180\) (even though geometrically it's incorrect based on the complementary - angle assumption in the diagram, but if we go by the solving steps…
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look at the diagram. which equation can be used to solve for x? 2(x - 1…
The equation that can be used to solve for \(x\) is \(2(x - 14)=90\), and \(x = 59\)
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look at the diagram. which equation can be used to solve for x? 2x + 3 …
\(x = 7\)
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adam wraps the top edge of the gift box shown with gold ribbon. the box…
The amount of gold ribbon needed to wrap the top edge of the box is \(34.40\) cm. Therefore, Adam does not have enough ribbon to wrap the top of the box.
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look at the diagram. which equation can be used to solve for x? 2x - 33…
\(x = 25\)
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which angles are complementary to each other? ∠5 and ∠4 ∠3 and ∠1 ∠4 an…
\(\angle4\) and \(\angle3\)
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which angles are adjacent to each other? ∠1 and ∠8 ∠8 and ∠2 ∠1 and ∠4 …
$\angle1$ and $\angle4$
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which angles are supplementary to each other? ∠16 and ∠13 ∠7 and ∠15 ∠6…
\(\angle7\) and \(\angle15\)
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which angles are adjacent to each other? ∠6 and ∠3 ∠7 and ∠8 ∠4 and ∠2 …
\(\angle7\) and \(\angle8\)
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which angles are vertical to each other? ∠1 and ∠15 ∠16 and ∠13 ∠1 and …
$\angle15$ and $\angle13$
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which angles are complementary to each other? ∠6 and ∠1 ∠3 and ∠2 ∠1 an…
\(\angle3\) and \(\angle2\)
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which angles are supplementary to each other? ∠10 and ∠11 ∠7 and ∠15 ∠5…
\(\angle10\) and \(\angle11\)
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which angles are supplementary to each other? ∠2 and ∠8 ∠5 and ∠7 ∠8 an…
\(\angle5\) and \(\angle6\)
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∠7 and ∠5 ∠2 and ∠3 ∠8 and ∠5 ∠4 and ∠8 which angles are vertical to ea…
\(\angle8\) and \(\angle5\)
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problem 1. in the given right triangle find the hypotheuse ab problem 2…
Problem 1: \(10\) ft. Problem 2: \(8\) inches.
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which angles are congruent to each other? ∠16 and ∠14 ∠10 and ∠6 ∠15 an…
\(\angle11\) and \(\angle3\)
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which angles are vertical to each other? ∠4 and ∠12 ∠13 and ∠15 ∠1 and …
\(\angle15\) and \(\angle14\)
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which angles are complementary to each other? ∠3 and ∠2 ∠3 and ∠4 ∠4 an…
\(\angle2\) and \(\angle6\)
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what is the volume of the cube? use an exponent to express your answer.…
\(10^{3}\)
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what is the area of the square? use an exponent to express your answer.…
\(4^{2}\)
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which angle is vertical to ∠4?
∠2
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what is the volume of the cube? the volume of the cube is □ cubic units.
\(8\)
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which angles are vertical to each other? ∠11 and ∠6 ∠11 and ∠5 ∠5 and ∠…
\(\angle10\) and \(\angle12\)
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which angles are vertical to each other? ∠14 and ∠2 ∠1 and ∠11 ∠4 and ∠…
$\angle4$ and $\angle2$
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triangle congruence image long description are the triangles congruent?…
Yes, \(\triangle ABC\cong\triangle MLN\) by the SAS Congruence Theorem.
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which venn diagram correctly describes the relationship between the nat…
The third Venn - diagram (with \(W\) as the larger circle and \(N\) as the smaller circle inside \(W\)) is correct because all natural numbers are whole numbers.
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if you wanted to explain why \\( \\triangle a b d \\cong c b d \\) by t…
\(\overline{AC}\) is the angle bisector of \(\angle BCD\)
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which angles are vertical to each other? ∠4 and ∠2 ∠7 and ∠12 ∠11 and ∠…
\(\angle11\) and \(\angle5\)
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which angles are complementary to each other? ∠2 and ∠5 ∠3 and ∠1 ∠1 an…
\(\angle3\) and \(\angle4\)