几何
三角形、圆、解析几何与证明题。
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what is ac? use both the distance formula and the law of sines. how do …
\(6.4\)
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find the perimeter of the triangle to the right. the perimeter is (type…
\(59.8\)
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solve the following quadratic word problems 3 3) a) what is the width a…
The width of the rectangle is \(15\) cm and the length is \(27\) cm. ### b) #### i.
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graph the solution to the inequality on the number line. |u - 5| > 3
The solution of the inequality \(|u - 5|>3\) is \(u<2\) or \(u>8\). On the number - line, we have an open circle at \(2\) with shading to the left and an open circle at \(8\) with…
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write the equation in vertex form for the parabola with vertex (0,1) an…
\(y=\frac{1}{12}x^{2}+1\)
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write the equation in vertex form for the parabola with vertex (0, -2) …
\(y =-\frac{1}{12}x^{2}-2\)
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a cylindrical basin is 2 feet tall and has a diameter of 5 feet, as sho…
\(39.3\) \(ft^{3}\)
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select all quantities that equal π. a the circumference of a circle of …
B. the circumference of a circle of diameter 1, E. the area of a circle of radius 1, H. the constant of proportionality relating the diameter of a circle to its circumference
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lets begin with x first. usually, the two parts of the diagram shows an…
The value of \(6x + 7\) when \(x = 20\) is \(127\). The equation to find \(y\) is \(6x + 7=10y-32\) (since they are vertical angles), substituting \(x = 20\) gives \(127=10y-32\),…
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1 consider the following diagram. lets focus on x first. visually, the …
The equation to set up for \(x\) is \((3x - 16)+(6x + 7)=180\) and \(x = 21\).
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which graph represents the solutions to this inequality? -4p + 27 > 39 …
The solution of the compound inequality \( - 4p + 27>39\) or \(3p - 10>59\) is \(p<-3\) or \(p>23\). So the graph with an open circle at \(-3\) (shading to the left) and an open c…
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which graph represents the solutions to this inequality? 8v - 15 ≥ -39 …
The third graph (with a closed circle at \(-3\), an open circle at \(19\), and a line segment between them) represents the solutions to the inequality.
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this diagram shows a regular hexagon. what is the area of regular hexag…
\(2340\)
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lets focus on x first. visually, the x parts of the diagram shows conse…
The value of \(6x + 7\) when \(x = 21\) is \(133\) and \(y = 15\)
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deriving a formula for volume of a cylinder suppose the height of a cyl…
The prism's volume is the area of the base, \(4r^{2}\) times the height, \(r\). Since the ratio of the areas is \(\frac{\pi}{4}\), then the volume of the cylinder is \(\frac{\pi}{…
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what is the angle - side relationship in triangles? * the smallest side…
The smallest side is opposite the smallest angle.
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if db is a bisector, what is the measure of angle dbc? *
\(65^{\circ}\) (the first option)
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which series of transformations demonstrates that the figures are congr…
C. A reflection over the \(y\) - axis followed by a translation of 4 units down.
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congruent or not congruent? if congruent - name the postulate.
Congruent; AAS (Angle - Angle - Side) postulate.
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#8. name the missing part to make the triangles congruent by the given …
\(\angle A\cong\angle D\)
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use these notes to help you answer the question below! (hint: this is n…
\(\frac{4}{5}\)
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proving similar triangles what additional information is needed to prov…
- For SAS: \( \frac{DF}{JL} \) - For AA: \( \angle K \), \( \angle L \)
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peter is walking home from school. on his way home, he stops by a park …
a) \(m\angle Z = m\angle C\) (because they are corresponding angles in congruent triangles formed by reflection); e) \(\overline{XZ}=\overline{AC}\) (because they are correspondin…
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a pool is being drained at a constant rate. the table below shows how m…
The pool had \(3200\) gallons of water when it began to get drained and it is being drained at a rate of \(300\) gallons per hour.
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20) a) 110° b) 101° c) 102° d) 107°
D. \(107^{\circ}\)
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19) a) 60° b) 99° c) 69° d) 116°
B. \(99^{\circ}\)
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18) a) 40° b) 65° c) 55° d) 50°
D. \(50^{\circ}\)
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17) a) 62° b) 70° c) 143° d) 95°
A. \(62^{\circ}\)
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16) a) 115° b) 85° c) 73° d) 80°
B. \(85^{\circ}\)
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15) a) 71° b) 66° c) 50° d) 59°
A. \(71^{\circ}\)
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ch angle. 8) (5x + 62)° 37° (3x + 47)°
The angles are \(37^{\circ}\), \(117^{\circ}\), and \(80^{\circ}\)
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11) a) corresponding b) consecutive interior c) alternate interior d) a…
C. alternate interior
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14) a) 107° b) 134° c) 45° d) 143°
B. \(134^{\circ}\)
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find the measure of each angle indicated. 13) a) 61° b) 140° c) 91° d) …
A. \(61^{\circ}\)
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order the sides from least to greatest * bc, ab, ac ab, ac, bc ac, ab, …
BC, AB, AC
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given \\( \\triangle wxy \\) is isosceles with legs \\( \\overline { wx…
4. \( WX = WY\) and \( WV = WZ\) 6. Substitution property (\( WZ = WV\)) 9. SAS similarity theorem
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2. how far is the spider from the dragon fly? 3. how far is the bee fro…
Bug3 and Bug5.
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which pairs of triangles are similar? check all that apply △abc - △def …
- $\triangle DEF\sim\triangle ABC$ - $\triangle GHI\sim\triangle ABC$
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what value of x will make the triangles similar by the sss similarity t…
\(28\)
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what additional information is needed to prove that the triangles are s…
1. $\frac{XY}{MN}=\frac{YZ}{NO}=\frac{XZ}{MO}$ 2. $\angle Z$
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complete the statements to verify that the triangles are similar \\( \\…
\(\frac{QR}{TU}=2\), \(\frac{PR}{SU}=2\), \(\frac{\sqrt{52}}{\sqrt{13}} = 2\), SSS (Side - Side - Side) Similarity
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which statement best describes triangles uvw and xyz? they are similar …
They are similar, but not congruent
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can the triangles be proven similar using the sss or sas similarity the…
Yes, $\triangle EFG\sim\triangle KLM$ by SSS or SAS
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if \\( \\triangle hli \\sim \\triangle jlk \\) by the sss similarity th…
A. \(\frac{HI}{JK}\)
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polynomials introduction they are functions that fit a specific descrip…
- Polynomials: \(y = 6x^{2}+4x - 3\), \(y = 7\), \(y = 5x^{8}+6x^{6}+4x^{3}\), \(y=x^{2}\), \(y = 4xz+5x^{2}z - 8z\), \(y = 20x-5\), \(y = 7x^{3}+3x^{2}-8\) - Not polynomials: - F…
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18. two college students decide to start a business. they will buy a ma…
A. \( y = 2.00b + 39.99 \)
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topic 6: triangle inequalities 26. which of the following could represe…
\(19,11,17\) and \(13,22,14\) ### 27.
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8. place these ordered pairs on the graph: a(-1,-2.5) b(5.5,-3) c(0.5,3…
\(A(-1,-2.5)\) and \(E(-4.5,-3)\)
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25. if km is the perpendicular bisector of jl, find x. 4x + 9 11x - 61
\(x = 10\)
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batman is trying a new design signal for his sidekick, robin. the follo…
Angle Angle Side Congruence Theorem
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given the shaded gray triangles below with sides and angles as marked. …
Hypotenuse Leg Congruence Theorem
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given the triangles below with sides and angles as marked. select the p…
Side Angle Side Congruence Postulate
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given the figure of triangles below with sides and angles as marked. se…
\(\overline{BC}\cong\overline{WX}\)
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24. find $mangle yqr$. $q$ $(5x + 6)^{circ}$ $(16x - 27)^{circ}$
\(21^{\circ}\)
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find the volume of a cone with a radius of 3 meters and a height of 7 m…
\(65.94\) cubic meters
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iv. antonyms circle the item that means the opposite of the boldface wo…
17. b. assist 18. d. key 19. a. splurged on 20. c. permanent
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which angles are adjacent to each other? ∠3 and ∠11 ∠1 and ∠4 ∠9 and ∠2…
\(\angle1\) and \(\angle4\)
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two parallel lines are crossed by a transversal. what is the value of h…
\(h = 120\) (the fourth option: \(h = 120\))
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which angles are supplementary to each other? ∠1 and ∠3 ∠4 and ∠1 ∠5 an…
\(\angle4\) and \(\angle1\)
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given: lines a and b are parallel and line c is a transversal. prove: ∠…
alternate exterior angles theorem
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iii. synonyms circle the item that means the same as the boldface word.…
10. d. well - known 11. c. reprisal 12. d. fool 13. a. unsettled 14. b. grazing 15. b. foretaste 16. d. abolish
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 12\) (the first option)
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 115\) (the fourth option \(x = 115\))
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an electrician leans an extension ladder against the outside wall of a …
The length of the ladder is approximately \(25.1\) feet.
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an electrician leans an extension ladder against the outside wall of a …
The length of the ladder is approximately \(25.54\) feet.
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an electrician leans an extension ladder against the outside wall of a …
The length of the ladder is approximately \(34.5\) feet.
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solve for ( x ). round to the nearest tenth, if necessary.
\(x\approx3.6\)
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explain how rays ab and ac form both a line and an angle.
# Explicación breve: Dos rayos forman un ángulo cuando comparten un extremo común (el vértice). En este caso, los rayos \( AB \) y \( AC \) comparten el extremo \( A \). Además, u…
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solve for ( x ). round to the nearest tenth, if necessary.
\(40.0\)
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use the following diagram to prove the perpendicular bisector theorem. …
| Statements | Reasons | |---|---| |\(\overline{CD}\) is the perpendicular bisector of \(\overline{AB}\).| Given | |\(\overline{AC}\cong\overline{BC}\)| Definition of a bisector |…
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solve for $x$. round to the nearest tenth, if necessary.
\(x = 208.4\)
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solve for $x$. round to the nearest tenth, if necessary.
\(x\approx208.3\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx30.5\)
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solve for $x$. round to the nearest tenth, if necessary.
\(x\approx2.1\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx45.6\)
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solve for $x$. round to the nearest tenth, if necessary. answer attempt…
\(30.9\)
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find the unknown length in the right triangle. the unknown length b in …
\(\sqrt{361 - s^{2}}\)
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solve for x. round to the nearest tenth, if necessary.
\(6.7\)
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4. la gráfica muestra la cantidad de dinero que julia y kayla ganan por…
For the slope of \(\overline{BC}\): A. \(\frac{AB}{AC}\) For the slope of \(\overline{EF}\): C. \(\frac{DE}{DF}\) For the relationship between the slopes: A. igual a
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use the information below to answer the next 5 questions. prove the iso…
\(\overline{AC}\)
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3. allison alquila un instrumento musical. esta gráfica muestra el cost…
1. B. The change is the same for any point on the line (slope is constant). 2. B. Similar triangles (used to show the constancy of the slope as the ratio of vertical to horizontal…
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which graph represents the solution set of the compound inequality $-4l…
The graph with a closed - circle at \(-1\) and a closed - circle at \(7\) and the line segment between them.
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which graph shows the solution to the inequality $-3x - 7 < 20$?
The graph with an open circle at \(-9\) and a line extending to the right (the second - option in the given choices, assuming the second graph has an open circle at \(-9\) and a r…
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why is the information in the diagram enough to determine that \\( \\tr…
because $\angle MNL$ and $\angle ONP$ are congruent angles
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for questions 18 - 21, find the discriminant of the equation and determ…
Discriminant: \(-3\) \(\# /\) Type of Roots: \(2\) complex roots Method: \(QF\) (Quadratic Formula) Solution(s): \(x=\frac{-15 + i\sqrt{3}}{6}\) and \(x=\frac{-15 - i\sqrt{3}}{6}\)
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knowledge check if the orphanage has a dog, how much fencing will be ne…
480 feet
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ming drew a triangle. the sum of the angles of the triangle is 180°. in…
The matrix \(\begin{bmatrix}1&1&1&|&180\\1&-2&0&|&0\\4&0&-1&|& - 5\end{bmatrix}\) can be used to solve the system \(a + b + c=180\), \(b = 2a\) (or \(a-2b=0\)), \(c=4a + 5\) (or \…
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symmetry which figures below do not have a line of symmetry? (note ther…
Scalene Triangle, Trapezoid (non - isosceles), Parallelogram
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designing an orphanage scale drawings determine the length of the room …
12
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if the scale factor is 2/3, the new figure will be a reduction (smaller…
True
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if the scale factor is greater than 1, the new figure will be an enlarg…
True
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what is the only type of geometric transformation in which the size of …
B. dilation
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marty sketches triangle def on the coordinate plane. he then sketches t…
The scale factor is \(\frac{2}{3}\)
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find the coordinates of point a after dilating triangle abc by a scale …
A. \((6, - 8)\)
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ab is dilated by a scale factor of 4, with a center of dilation at a. i…
\((2,4)\)
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find the area of the figure. (sides meet at right angles.)
\(64\) square - feet
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7. this design began from the construction of a regular hexagon. a. dra…
a. Draw a segment from \(K\) to \(H\) (the new hexagon is \(HKJILG\)). b. The hexagons are congruent because all corresponding side lengths are equal (due to the regular - hexagon…
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5. elena needs to prove angles bed and bca are congruent. provide reaso…
For part a, the reason is "Given". For part b, the reason is "Corresponding angles postulate (when two parallel lines are cut by a transversal, corresponding angles are congruent)…
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15) 77^{circ} x
\(x = 13^{\circ}\)
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Question was provided via image upload.
\(64\) square feet