几何
三角形、圆、解析几何与证明题。
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graph the hyperbola given by ( 9 x ^ { 2 } - y ^ { 2 } - 72 x - 4 y + 1…
The first graph (the one with the center near \((4,-2)\) and opening left - right) is the correct graph of the hyperbola \(9x^{2}-y^{2}-72x - 4y+131 = 0\)
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graph $\\frac{x^{2}}{36}-\\frac{y^{2}}{9}=1$.
The second graph (the one with a hyperbola opening left - right with vertices on the \(x -\)axis).
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a kite flying in the air has an 11 - ft line attached to it. its line i…
\(6.3\)
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the length of a shadow of a building is 29 m. the distance from the top…
\(19.6\)
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identify the graph of the ellipse given by $\\frac{(x + 7)^2}{49}+\\fra…
The first graph (the one with center near \((-7,5)\) and major axis parallel to the \(x\) - axis) is the correct graph of the ellipse \(\frac{(x + 7)^{2}}{49}+\frac{(y - 5)^{2}}{2…
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sketch the graph of $(x - 4)^2+(y - 1)^2 = 9$.
Since the first graph (the one with the center in the second - quadrant - like position relative to the origin in the provided options) does not have center \((4,1)\), and assumin…
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which of the following is the graph of ( 16 x ^ { 2 } + 25 y ^ { 2 } = …
The graph of the equation \(16x^{2}+25y^{2}=400\) (or \(\frac{x^{2}}{25}+\frac{y^{2}}{16}=1\)) is an ellipse centered at the origin with semi - major axis \(a = 5\) (along the \(x…
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unit 3 - lesson 2 exit ticket: in the following diagram \\( \\overline{…
Una rotación de \(180^{\circ}\) en el punto \(C\). ### (b)
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determine the eccentricity of the ellipse given by $9x^{2}+16y^{2}-72x …
For the ellipse, the eccentricity is \(0.66\). For the circle, the equation is \((x - 9)^{2}+(y - 7)^{2}=625\), center \((9,7)\), \(r = 25\).
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given ( p parallel q ), and ( r parallel s ). prove: ( angle 4 ) is sup…
D. Statement: \( m\angle4 = m\angle16 \) Reason: Transitive Property of Equality
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identify the conic given by $\\frac{(x - 10)^2}{36}-\\frac{(y - 9)^2}{3…
hyperbola
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in the figure, \\( \\overline { a b } \\parallel \\overline { c d } \\)…
To solve this problem, we analyze each blank based on angle - related theorems: ### First Blank We know that if \(\angle EIA\cong\angle GJB\), and \(\angle EIA\cong\angle IKC\), \…
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identify the conic given by $\\frac{(x - 10)^2}{36}-\\frac{(y - 9)^2}{3…
\(y=\frac{2}{25}x^{2}+\frac{32}{25}x+\frac{278}{25}\) (the first option)
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select the correct answers. if sides bd and dc have the same length, wh…
C. 2 units
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question 2 (5 points) listen use \\( \\theta=45^{circ} \\) to write \\(…
\((9)(x')^{2}+(6)x'y'+(5)(y')^{2}+(10\sqrt{2})x'+(-10\sqrt{2})y'-80 = 0\); ellipse
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select the correct answer. a regular convex polygon has 16 sides. what …
D. \( 157.5^{\circ} \)
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a 12 - ft ladder leans against the side of a house. the bottom of the l…
\(9.7\)
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for the following right triangle, find the side length x. round your an…
9.00
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37 select the correct answer. in the figure, angle e measures 54° and a…
C. 97°
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for the following right triangle, find the side length x.
41
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transversal \\overleftrightarrow{ef} cuts parallel lines \\overleftrigh…
D. \( m\angle 5 = 55.1^\circ \), and \( m\angle 7 = 124.9^\circ \)
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select the correct answer from each drop - down menu. \\( \\triangle ab…
For the first drop - down: \(\triangle ABC\) and \(\triangle DEF\) may or may not be congruent. For the second drop - down: AAA is not a criterion for congruency of any two triang…
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in addition to the facts in the diagram, which other statements are nec…
D. i and iii only
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select the correct pairs of triangles. the measures of two angles of pa…
The pairs of similar triangles are: - Triangle 1: \(55^{\circ},45^{\circ}\); Triangle 2: \(55^{\circ},80^{\circ}\) - Triangle 1: \(105^{\circ},23^{\circ}\); Triangle 2: \(52^{\cir…
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in triangle abc, points d and e are the midpoints of \\( \\overline { a…
C. slope = 0.5, length = 1.6 units
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29 type the correct answer in each box. quadrilateral ebcd is an isosce…
\( m\angle DEB=\boxed{70} \), \( m\angle BCD=\boxed{110} \), \( m\angle EAB=\boxed{51} \)
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notice that the triangles shown below are similar by aaa considering th…
$x = 7.5$
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find the volume of the cone. volume formula: ( v = \frac{pi r^{2} cdot …
\( 150.72 \)
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notice that the triangles shown below are similar by aaa considering th…
$x = 7.5$
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find the volume of the triangular prism. use the formula: v = bh b = ar…
\( 54 \)
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△abc rotates around point d to create △abc. based on the position of \\…
(4, 7)
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find the surface area of the triangular prism. next, find the area of b…
\( 36 \)
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find the surface area of the triangular prism. start by finding the are…
18
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identify the faces, edges and vertices of this pentagonal pyramid. ente…
Faces: 6 Edges: 10 Vertices: 6
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identify the faces, edges and vertices of this tetrahedron. enter the n…
Faces: 4 Edges: 6 Vertices: 4
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solve for x (hint: draw 3 triangles) answer attempt 2 out of 2
\( x = 9 \)
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calculate the area of the circle. formula: ( a=pi r^{2} ) use 3.14 for …
28.3
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12. find the values of the indicated angles
### Left Figure (Pentagon - Isosceles Triangle and Isosceles Trapezoid) #### Step 1: Analyze the Triangle (Top) The top triangle is isosceles (two equal sides marked). The base of…
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select the correct answer. two exterior angles of a triangle measure 13…
C. \(45^\circ, 55^\circ, 80^\circ\)
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calculate the circumference. formula: c = πd use 3.14 for π. c = ? cm r…
\( 18.8 \)
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how long is the circumference of the circle?
B. 25 m
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which model shows the radius?
The middle model (the one with a line segment from the center to the circumference) shows the radius.
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in the village of hampton, the town committee is looking for estimates …
The area of the gazebo (circle) is \(200.96\) square feet. The missing dimension (width of the rectangle) is \(16\) feet. The area of the lawn is \(119.04\) square feet.
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a 32 - m tall building casts a shadow. the distance from the top of the…
16.5
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find the area of this irregular shape. a = ? cm² find the area of the f…
\(39\)
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find the area. area of a square: $a = s^{2}$ $a = ? in^{2}$
16
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find the area. area of a rectangle: a = lw use a a = ?ft²
40
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? in perimeter = 48 in. what is the length of each side? rhombus use a
The length of each side of the rhombus is 12 inches.
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jimmy is making a b - 17g flying fortress model airplane that is to sca…
The actual length of the airplane is \(864\) feet.
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perimeter = 45 in. what is the length of each side? regular pentagon ? …
9 inches
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a degenerate circle is: i. a circle with radius ( r = 0 ). ii. a point.…
I and II only
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what is the value of a for the following circle in general form? a = __…
\(-8\)
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what is the radius for the circle given by the equation $x^{2}+(y - 1)^…
\(3.464\)
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a ladder leans against the side of a house. the top of the ladder is 10…
\(11.7\)
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the circle given by ( x^{2}+y^{2}-4x - 10 = 0 ) can be written in stand…
\(2\)
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which of the following equations will produce this graph? a. $(x - 3)^{…
B. \((x - 3)^2+(y - 7)^2 = 16\)
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a kite flying in the air has a 12 - ft line attached to it. its line is…
\(4.8\)
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which of the following is a degenerate circle? a. ( x^{2}+y^{2}=1 ) b. …
C. \((x - 4)^{2}+(y - 2)^{2}=0\)
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for the following right triangle, find the side length x. round your an…
\(14.87\)
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what is the radius of a circle with the equation ( x^{2}+y^{2}+6x - 2y+…
\(2.646\)
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for the following right triangle, find the side length x. your answer
\(13\)
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what is the equation of the given circle? a. $(x + 3)^{2}+(y - 2)^{2}=1…
A. \((x + 3)^2+(y - 2)^2=1\)
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question 1 2 pts identify the center and radius of the circle $(x + 4)^…
A. Center: \((-4,2)\), \(r = 4\)
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9 66 units 12 32 units 15 4 units 13 16 units
To solve this, we analyze each graph: ### First Graph (Rectangle \(DEFG\)): - Coordinates: \(D(2,1)\), \(E(5,1)\), \(F(5,-2)\), \(G(2,-2)\) - Length of \(DE\) (or \(GF\)): \(|5 - …
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triangles finding an angle measure for a triangle sharing a side with a…
\(x = 16\)
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24 in the diagram, line ( overline{ab} ) and line ( overline{ef} ) are …
C. \((-6, -4)\)
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find the value of x. if necessary, you may learn what the markings on a…
\(x = 58\)
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given: quadrilateral abcd is a parallelogram. prove: ( overline{ab} con…
C. Statement: \(\overline{AB} \parallel \overline{CD}, \overline{BC} \parallel \overline{AD}\) Reason: definition of a parallelogram
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find the value of x. if necessary, you may learn what the markings on a…
\(122\)
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pqrs is a parallelogram. \\( \\overline { p r } \\) and \\( \\overline …
- value of \( a \): \( 4 \) - length of \( \overline{PR} \): \( 16 \) - value of \( b \): \( 3 \) - length of \( \overline{QS} \): \( 6 \) So the matches are: 16 → length of \( \o…
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suppose that \\( \\triangle l m n \\) is isosceles with base \\( \\over…
\(m\angle L = 58^{\circ}\), \(m\angle M=61^{\circ}\), \(m\angle N = 61^{\circ}\)
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suppose that \\triangle klm is isosceles with base \\overline{kl}. supp…
\(m\angle K = 56^{\circ}\), \(m\angle L=56^{\circ}\), \(m\angle M = 68^{\circ}\)
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suppose that \\( \\triangle f g h \\) is isosceles with base \\( \\over…
\(m\angle F = 62^{\circ}\), \(m\angle G = 62^{\circ}\), \(m\angle H = 56^{\circ}\)
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select the correct answer from each drop - down menu. \\( \\triangle ab…
reflection
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18 select the correct answer from each drop - down menu. △abc has verti…
First drop - down: Triangle ABC and triangle MNO Second drop - down: (Possible rigid transformations: rotation, reflection, translation; since they share the point \( (4,8) \), a …
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∠4 is supplementary to ∠15. what is the missing step in the given proof…
A. Statement: \( m\angle4 = m\angle15 \) Reason: Substitution Property of Equality
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the coordinate plane shows the floor plan for a swimming pool. what is …
A. 50 square meters
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drag each triangle to the correct category. for each set of side length…
Right Triangle: \(4, 4, \sqrt{32}\); \(8, 7, \sqrt{113}\) Not a Right Triangle: \(4, 4, \sqrt{24}\); \(7, 8, 15\); \(4, 10, 11\)
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cr and ds are perpendiculars dropped from ab to pq, and ab is perpendic…
B. \( m\angle RCD = m\angle ACD \)
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a quadrilateral has vertices ( a(4,9) ), ( b(2,5) ), ( c(8,2) ), and ( …
C. ABCD is a rectangle with noncongruent adjacent sides.
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in the image, point a marks the center of the circle. which two lengths…
D. \( AI:EF \)
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quadrilateral abcd is a parallelogram. complete the statements to prove…
s: - First blank reason: Alternate Interior Angles Theorem - Second blank reason: Congruent angles have equal measures
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the table contains the proof of the theorem of the relationship between…
A. \(\boldsymbol{\frac{BC}{AB} = \frac{DE}{EF}}\)
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which phrase best describes a theorem in an axiomatic system? a. the ac…
D. a statement proven to be true using logic
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2. jada draws two parallel lines cut by a transversal, as shown below. …
\(z = 11\)
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what is the first step when constructing an angle bisector using only a…
D. Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.
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quadrilateral abcd is a parallelogram. complete the statements to prove…
s: - For \( \angle CAB \cong \angle ACD \) and \( \angle BCA \cong \angle CAD \): Alternate Interior Angles Theorem - For \( m\angle CAB = m\angle ACD \) and \( m\angle BCA = m\an…
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find the volume of a cone with a height of 6 ft and a base diameter of …
\(100.48\) \(ft^{3}\)
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a grain silo has a cylindrical shape. its radius is 8 ft, and its heigh…
\(6431\) \(ft^{3}\)
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type the correct answer in the box. use numerals instead of words. if n…
5
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polygon abcd reflects about line mn to make polygon efgh. what is the l…
C. 3 units
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find the volume of the rectangular prism. 9 in 9 in 9 in in 3
\( 729\) in\(^{3}\)
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the solid below is made from cubes. find its volume. 1 m m³
\(24\)
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3. k&u; 3marks take a look at all the terms below. circle all the like …
3. Circle \(5x^{2}\), \(x^{2}\), \(-2x^{2}\) 4. (a) Monomial (b) Binomial (c) Trinomial (d) Polynomial (or Multinomial) 5. a) \(12x^{4}\) b) \(6x^{3}-12x\) c) \(2ab\) d) \(32x^{5}…
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find the volume of the cone. volume formula: v = \\frac{\\pi r^{2}\\cdo…
\(1077.02\)
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type the correct answer in each box. if necessary, round your answer(s)…
The perimeter of \(\triangle ABC\) is \(\boldsymbol{22.81}\) units, and its area is \(\boldsymbol{24}\) square units.
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find the volume of the cone. volume formula: v = \\frac{\\pi r^{2}\\cdo…
\(r = 3\) in, \(h = 8\) in, \(V=75.36\) in\(^{3}\)
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if ( uv = ux = 41 ), ( mangle uwv = 2p - 10^{circ} ), and ( mangle uwx …
\(22\)
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what is dg? dg =
\(8\)
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if \\( \\overline { p q } \\cong \\overline { p s } \\), \\( m \\angle …
\(13\)