Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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what is the measure of the missing angle? m∠abc = ?° enter the number o…
\(135\)
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5 practice 5 (from unit 2, lesson 12) priya is convinced the diagonals …
# Explicación breve: Para demostrar que las diagonales de un trapecio isósceles son congruentes, se dibujan las diagonales \( BE \) y \( AD \). \( AB \) es congruente a sí mismo (…
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3 practice 3 (from unit 2, lesson 13) abde is an isosceles trapezoid. p…
Triángulo \( AEB \) no es congruente a triángulo \( DBE \) porque no cumplen con ninguno de los criterios de congruencia de triángulos (SSS, SAS, ASA, AAS). Aunque \( \overline{AE…
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practice 2 here is rhombus efgh. show that diagonal eg is a line of sym…
La diagonal \(EG\) es un eje de simetría del rombo \(EFGH\) porque los triángulos \( \triangle EHG\) y \( \triangle EFG\) son congruentes (por SSS) y la reflexión sobre \(EG\) sup…
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select all quadrilaterals for which a diagonal is also a line of symmet…
D. rhombus, F. square
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max correctly solved this inequality. \\( \\frac { a } { - 5 } \\geq 10…
The second option (the graph with a closed circle at \(-50\) and the arrow pointing to the left) is the correct graph for the inequality \(a\leq - 50\).
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solve $-\\frac{2}{3}n\\leq16$. which of the following must be true abou…
B. \(n\geq - 24\), D. The circle is closed, E. The arrow points right
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a sports club needs to raise at least $500 by selling chocolate bars fo…
The inequality should be written as \(2.50c\geq500\), the circle is closed, the arrow points right. So the correct options are: - The inequality should be written as \(2.50c\geq50…
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three - fourths of the employees at a bookstore came to a staff meeting…
The fourth graph (the one with an open circle at \(32\) and the arrow pointing to the left)
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solve the following inequality. -\\frac{1}{2}p < -16 which graph shows …
The graph that has an open circle at \(32\) and a line extending to the right (the first graph among the options, assuming the first graph has an open - circle at \(32\) and a rig…
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two triangles are considered if their corresponding angles are equal an…
1. similar 2. congruent 3. Pythagorean 4. equal 5. AA 6. angles 7. AAS 8. hypotenuse 9. proportionally 10. parallel 11. SSS
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30. find all angles θ in the interval 0,2π) that satisfy the expression…
\(\theta=\frac{\pi}{2},\frac{3\pi}{2}\)
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the length of a rectangle is 3 ft less than twice the width, and the ar…
宽：\(6.5\mathrm{ft}\)，长：\(10\mathrm{ft}\)。
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apply the following transformations to the shape: first reflect over $x…
To draw the final shape, use the transformation rule \((x,y)\to(-x - 5,y + 4)\) for each vertex of the original blue - colored shape. Plot the new vertices \((-x-5,y + 4)\) and co…
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10. a circle with a radius of 2.5 in is shown. make sure that you use t…
(a) \(6.25\pi\) square inches. (b) \(19.63\) square inches.
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7) refer to the figures. equation x = 9) a circle with a radius of 5 cm…
- First figure: Equation \(x + 15=50\), \(x = 35\) - Second figure: Equation \((17 + 2x)+(6x + 3)=180\), \(x = 20\) - 9(a): \(10\pi\) cm - 9(b): \(31.42\) cm
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4) biking rhea is using a coordinate grid to map out how far she biked …
\(16\) ### 5)
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b. true or false directions: read each statement. if the bold word is u…
11. F 12. T 13. T 14. F 15. T 16. T 17. T 18. F 19. T 20. T
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topic 5: volume of a cube question 1 find the volume of the following c…
- \( V_A = 8m^3 \) - \( V_B = 64m^3 \) - \( V_C = 125cm^3 \) - \( V_D = 343m^3 \) - \( V_E = 729m^3 \) - \( V_F = 216m^3 \)
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area, volume and capacity topic 5: volume of a cube question 1 find the…
- **Question 2a**: \(5\mathrm{cm}\) - **Question 2b**: \(7\mathrm{cm}\) - **Question 3a**: \(1\mathrm{cm}^{3}\) - **Question 3b**: \(1331\mathrm{cm}^{3}\) - **Question 3c**: \(100…
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10. (6 points) given \\( \\triangle a b c, m \\angle a=(3 x+28)^{\\circ…
\(x = 11\) and \(m\angle C=12^{\circ}\)
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4 from unit 1, lesson 1 this diagram shows how clare used a compass to …
A. \(AB = CD\)
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7. in \\( \\triangle a b c, m \\angle a = 40 ^ { \\circ }, m \\angle b …
\(AC>AB > BC\), so the answer is (4).
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6. in the accompanying diagram, line m is parallel to line n and they a…
(3) \(m\angle x = 165^{\circ}\) and is an obtuse angle
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3. in the diagram below, ( mangle tsv = 21^{circ} ) and ( mangle rsv = …
(1) \(27^{\circ}\)
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17. find the value of the measure of angle a. a 13 b 60 c 26 d 13√3
\(60^{\circ}\) (Option b)
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2. in the accompanying diagram ( l _ { 1 } parallel l _ { 2 } ) are cut…
(4) Alternate interior angles
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16. find the measure of each acute angle. (2x + 6)° (5x + 14)°
The measures of the acute angles are \(26^{\circ}\) and \(64^{\circ}\).
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15 a ramp is designed with the profile of a right triangle. the measure…
D. \(30^{\circ},60^{\circ}\)
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for #16 and 17, in circle o with radius of length r, central angle poq …
16. \(\frac{350\pi}{9}\) 17. \(25\pi\)
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15 a ramp is designed with the profile of a right triangle. the measure…
d. \(30^{\circ},60^{\circ}\)
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2 in the construction, a is the center of one circle, and b is the cent…
A. segment \(AC\), B. segment \(AE\), C. segment \(BC\)
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the floor of a shed given on the right has an area of 65 square feet. t…
Mathematics: Algebra Let the width be \( w \) feet. Then the length \( l = 2w - 3 \) feet. Since the area \( A=l\times w=(2w - 3)w = 65 \), we have \( 2w^{2}-3w - 65=0 \). Using t…
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26. the iron triangle describes relationships between which entities? a…
A. Interest groups, congressional committees, and bureaucracy
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at what point does the line intersect the y - axis? (-3,0) (0,-3) (0,3)…
\((0,-3)\)
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can you prove these shapes are congruent?
Yes, the two shapes are congruent.
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can you prove these shapes are congruent?
No, these shapes are not congruent.
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are these shapes congruent?
yes
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how many lines of symmetry does this shape have?
1
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how many lines of symmetry does this rectangle have?
2
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draw all the lines of symmetry for this equilateral triangle.
An equilateral triangle has 3 lines of symmetry. Each line passes through a vertex and the mid - point of the opposite side.
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draw all the lines of symmetry for this shape.
Draw a vertical line that passes through the middle of the "W" - shaped figure. This vertical line is the line of symmetry for the given shape.
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draw all the lines of symmetry for this shape.
Draw a vertical line through the middle of the "W" (the line of symmetry).
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5. quadrilateral ( abcd ) is congruent to quadrilateral ( abcd ). descr…
First, translate quadrilateral \(ABCD\) so that \(A\) maps to \(A'\). Then, rotate the translated quadrilateral about \(A'\) until \(B\) maps to \(B'\), \(C\) maps to \(C'\), and …
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6. triangle abc is congruent to triangle abc. describe a sequence of ri…
First, translate triangle \(ABC\) so that \(A\) maps to \(A'\). Then, rotate the translated triangle around \(A'\) to map \(B\) to \(B'\) and \(C\) to \(C'\).
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a arde with center l is shown in the figure below. (a) name a radius: (…
(a) \(\overline{LN}\) (or \(\overline{LM}\), \(\overline{LI}\)) (b) \(\overline{MI}\) (c) \(\overline{KJ}\) (or \(\overline{MI}\)) (d) \(8\) units
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where will the image of △rst be located? quadrant i quadrant ii quadran…
A. Quadrant I
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3. in this diagram, point d is rotated ( 180^{circ} ) using b as the ce…
When a point \(D\) is rotated \(180^{\circ}\) about a center \(B\), the points \(D\), \(B\), and its image \(D'\) are collinear. The ray \(BD\) and the ray \(BA\) form a straight …
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the two triangles below are similar. also, ( mangle f = 60^{circ} ) and…
\(m\angle J = 25^{\circ}\), \(m\angle K=95^{\circ}\), \(m\angle L = 60^{\circ}\)
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the two triangles below are similar. also, ( m angle y = 60^{circ} ) an…
\(m\angle C = 30^{\circ}\), \(m\angle D = 90^{\circ}\), \(m\angle E = 60^{\circ}\)
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the two triangles below are similar. also, ( m angle d = 15^{circ} ) an…
\(m\angle R = 95^{\circ}\), \(m\angle S = 70^{\circ}\), \(m\angle T = 15^{\circ}\)
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solving an equation involving complementary or supplementary angles in …
\(m\angle1 = 24^{\circ}\), \(m\angle2=156^{\circ}\)
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in the figure below, ( mangle1 = 3x^{circ} ) and ( mangle2=(x + 36)^{ci…
\(m\angle1 = 108^{\circ}\) \(m\angle2 = 72^{\circ}\)
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in the figure below, ( mangle1=(x + 36)^{circ} ) and ( mangle2 = 2x^{ci…
\(m\angle1 = 54^{\circ}\), \(m\angle2=36^{\circ}\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle1 = 101^{\circ}\) \(m\angle3 = 79^{\circ}\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle5 = 56^{\circ}\), \(m\angle7 = 56^{\circ}\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle6 = 141^{\circ}\) \(m\angle7 = 39^{\circ}\)
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write a quadratic function for the area of the figure. then, find the a…
The quadratic function for the area is \(A(x)=\pi x^{2}\), and when \(x = 20\), the area is \(1256\) square units.
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write a quadratic function for the area of the figure then, find the ar…
The area when \(x = 20\) is \(1256\)
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∠1 and ∠2 are complementary angles. if ( m∠1=(3x + 7)^{circ} ) and ( m∠…
\(43.25^{\circ}\)
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use the law of sines to find the indicated side x. (assume a = 364. rou…
\( 180.77 \)
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study how the example shows a proportional relationship. then solve pro…
a. \(c=\frac{2}{3}b\) b. Substitute \(b = 8\) into the equation \(c=\frac{2}{3}b\). Then \(c=\frac{2}{3}\times8=\frac{16}{3}=5\frac{1}{3}\) pounds. We use the equation because of …
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12. $f(x)=\\begin{cases}\\frac{2}{3}x + 3, & x \\leq 0 \\\\ 3, & 0 < x …
Plot the three - piece function: 1. For \(y=\frac{2}{3}x + 3\) (\(x\leq0\)), use the points \((-3,1)\) and \((0,3)\) (closed - circle at \((0,3)\)). 2. For \(y = 3\) (\(0\lt x\lt2…
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solve each absolute value inequality and show its solution set on a num…
The solution set is \(-2 < x < 8\). On a number line, it is represented by an open circle at \(-2\) and \(8\) and a line connecting them.
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which angle number represents the linear pair of \\( \\angle c g b \\)?
\(\angle2\)
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got it? 1. a. given: ∠prs and ∠rpq are right angles, (overline{sp}congo…
a) The proof is completed as shown in the step - by - step explanation using the HL congruence criterion. b) Your friend is correct. Using the Pythagorean theorem and congruence c…
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for #16 and 17, in circle o with radius of length r, central angle poq …
16. \(\frac{175\pi}{9}\) 17. \(25\pi\)
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for #14 and 15, in circle o with radius of length r, central angle poq …
14. \(\frac{400\pi}{3}\) 15. \(\frac{27\pi}{2}\)
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find ( mangle krl ). ( mangle krl=)
\(34\)
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find ( mangle tqw ). ( mangle tqw=square^{circ} )
\(46\)
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find the length of \\( \\overparen{qp} \\) in terms of \\( \\pi \\). 17…
17. \(\frac{\pi}{2}\) 18. \(2\pi\) 19. \(6\pi\) 20. \(15\pi\)
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find m∠dfc. one way to get started is with a vertical angle relationshi…
\(62\)
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find ( mangle bfc ). one way to get started is with a vertical angle re…
\(m\angle BFC = 62^{\circ}\)
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find m∠bfc. one way to get started is with a vertical angle relationshi…
\(28\)
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find ( mangle bfc ). ( mangle bfc=square )
$28$
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find ( mangle bfc ). ( mangle bfc=) 118
\( m\angle BFC = 118^{\circ}\)
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find ( mangle bpc ). ( mangle bpc=)
$118$
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which angle has a measure of $46^{circ}$? $angle pwq$ $angle qwr$ $angl…
\(\angle RWS\)
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an athlete whose event is the shot put releases a shot. when the shot w…
The maximum height is \(29.9\), which occurs \(35\) feet from the point of release.
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what do you notice about the angles on opposite sides of point h? they …
They have the same measure.
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find m∠vyw. m∠vyw=◻°
\(59\)
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for each pair of angle measures, decide if the angles are complementary…
Complementary: \(12^{\circ}\) and \(78^{\circ}\)
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for each pair of angle measures, decide if the angles are complementary…
Complementary: None. Supplementary: \(80^{\circ}\) and \(100^{\circ}\), \(25^{\circ}\) and \(155^{\circ}\). Neither: \(50^{\circ}\) and \(50^{\circ}\).
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for each pair of angle measures, decide if the angles are complementary…
\(25^{\circ}\) and \(155^{\circ}\) are supplementary.
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plot the product of the complex numbers on the plane below. $(2e^{315^{…
The complex number \((2e^{315^{\circ}i})(2e^{210^{\circ}i})\) has a magnitude of \(4\) and an angle of \(165^{\circ}\). So, on the polar - plane, you should move the point to a ci…
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the figure shows three intersecting lines. lines g and s are how are ∠1…
\(90\)
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sketch an angle in standard position that results from the given rotati…
The radian measure of the angle for \(\frac{3}{4}\) counter - clockwise rotation is \(\frac{3\pi}{2}\) radians.
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which angle is adjacent to ∠tvs? ∠nvt what is m∠nvs? m∠nvs=
$m\angle NVS = 110^{\circ}$
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which angle is adjacent to ∠tvs? ∠nve ∠nvt ∠nvw
$\angle NVT$
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after another wind change how can you find ( mangle nvt )? ( 20^{circ}+…
\(90^{\circ}+20^{\circ} = 110^{\circ}\)
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for #7 - 9, find the radian measure of the angle. 7. 1/8 rotation, coun…
For \(\frac{1}{8}\) counter - clockwise rotation: \(\frac{\pi}{4}\) radians. For \(\frac{7}{6}\) clockwise rotation: \(-\frac{7\pi}{3}\) radians.
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find the measure of the angle in radians. 1 rotation counterclockwise 5…
$\frac{2\pi}{5}$
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after another wind change, the weatherv which name can be used for the …
- Both angles have a vertex at point \(V\). - Both angles share the side \(E\) (or \(\overrightarrow{VE}\)).
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find the measure of the angle in radians. 9.1 rotation counterclockwise…
\(18.2\pi\) radians
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find the measure of the angle in radians 9.1 rotation counterclockwise 5
\(18.2\pi\) radians
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how many degrees did the arrow turn? 90 you can name the turn ∠nve, bec…
\(\angle EVN\)
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let s denote the length of the arc of a circle of radius r subtended by…
\(18\)
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a weathervane is pointing north. after the wind changes direction, the …
\(90\)
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given: \\( \\overline { d c } \\) is the perpendicular bisector of \\( …
2. Definition of Midpoint; 6. \( \triangle DCA\cong\triangle DCB \)
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convert the angle in radians to degrees. -\\frac{5\\pi}{3} -\\frac{5\\p…
\(-300\)