幾何
三角形、円、座標幾何、証明問題。
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5. (5pts) diego made the shape on the left, and elena made the shape on…
A. The smallest circle in Diego’s design is congruent to the smallest circle in Elena’s design. D. The largest circle in Elena’s design is congruent to the largest circle in Diego…
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6. an art student is making a mosaic by gluing together triangular tile…
\(x = 9\) ### Problem 7
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4. in \\( \\triangle a b c, a c = 13 \\mathrm { cm }, \\angle a = 4 y -…
Part A: \(m\angle B = 53^{\circ}\) Part B: \(x = 4\)
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find an angle \\( \\theta \\) with \\( 0^{\\circ}<\\theta<360^{\\circ} …
Sine as \(50^{\circ}\): \(\theta = 130\) degrees Cosine as \(50^{\circ}\): \(\theta = 310\) degrees
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a radio tower is located 325 feet from a building. from a window in the…
\(425.07\)
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note: triangle may not be drawn to scale. suppose c = 8 and a = 45 degr…
\(a = 5.7\) \(b = 5.7\) \(B = 45.0\) degrees
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note: triangle may not be drawn to scale. suppose ( a = 7 ) and ( b = 9…
\(\sin(A)\approx0.61\), \(\cos(A)\approx0.79\), \(\tan(A)\approx0.78\), \(\sec(A)\approx1.27\), \(\csc(A)\approx1.63\), \(\cot(A)\approx1.29\)
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question 6 note: triangle may not be drawn to scale. suppose a = 7 and …
\(\sin(A)\approx0.61\), \(\cos(A)\approx0.79\), \(\tan(A)\approx0.78\), \(\sec(A)\approx1.27\), \(\csc(A)\approx1.64\), \(\cot(A)\approx1.29\)
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find an angle between ( 0^{circ} ) and ( 360^{circ} ) that is cotermina…
\(51\), \(219\), \(14\), \(10\)
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write an expression describing all the angles that are coterminal with …
\(86+360k\)
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a sector of a circle has a central angle of 150°. find the area of the …
\(32.71\)
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convert the angle 90° to radians. give the exact value and use pi for π.
\(\frac{\pi}{2}\)
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convert the angle \\frac{5\\pi}{6} from radians to degrees. degrees add…
\(150\)
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draw a circle with an equation of $x^{2}+y^{2}-4y = 5$.
Center \((0,2)\) and radius \(r = 3\).
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write the equation of the circle centered at (-3,5) with diameter 12. a…
\((x + 3)^2+(y - 5)^2=36\)
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write the equation of the circle centered at (9, 10) with radius 2. add…
\((x - 9)^2+(y - 10)^2 = 4\)
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find a completely simplified expression for the area of the (blue) shad…
\(16x^{2}-16\)
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k. write a definition above each of the bold words. choices are below. …
1. another person 2. a frustrated parent 3. a museum 4. cake 5. an award 6. peppers 7. a misbehaving dog
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catarina works for an automobile transmission production company that r…
Six Sigma
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13) a) 6 b) 15 c) 8 d) 11
# Explanation: ## Step1: Use the property of congruent chords In a circle, if two chords are congruent, then their lengths are equal. Here, chord \(XY\) and chord \(ZP\) are congr…
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lation is a function and explain why then state b. function? y or n (ci…
Function? \(Y\) (because it passes the vertical line test). Domain: \([1,6]\). Range: \([-4,6]\)
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3. graph the piecewise function given by $$ g ( x ) = left\\{ \begin{ar…
The graph of the piece - wise function \(g(x)\) consists of a horizontal line segment \(y = 4\) from \(x=-9\) to \(x=-5\), a line \(y=x\) from \(x=-5\) (open - circle) to \(x = 2\…
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41. - / 1 points 0/5 submissions used solve ( a = s + sr ) for s. ( s =…
\(S=\frac{a}{1 + r}\) For the second problem:
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use your notes in your packet to show work. set up the problem solution…
Set up the problem: \(30^{2}+40^{2}=x^{2}\) Solution: \(x = 50.00\) ft
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use your notes in your packet to show work. set up the problem: solutio…
Set up the problem: \(x^{2}+3^{2}=7.6^{2}\) Solution: \(x = 6.98\) in.
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use your notes in your packet to show work 12 cm 10.5 cm set up the pro…
Set up the problem: \(12^{2}+10.5^{2}=x^{2}\) Solution: \(x\approx15.95\) cm
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explain the main difference between finding a missing hypotenuse and fi…
Missing Hypotenuse: Add Squares. Missing Leg: Subtract Squares.
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graph the equation of the circle: $(x - 4)^2+(y - 2)^2 = 9$
First, plot the center \((4,2)\). Then, from the center, move 3 units in all four cardinal directions (up, down, left, right) to get points \((4,5)\), \((4,-1)\), \((1,2)\), \((7,…
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use your notes in your packet to show work. set up the problem: solutio…
Set up the problem: \(x^{2}+4^{2}=7^{2}\) Solution \(x = 5.74\) in.
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what is cos a? a 7/13 b 5/13 c 12/13 d 12/5
\(\frac{12}{13}\) (Option C)
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what is the area of a sector of a circle with a radius of 6 inches and …
B. \(6\pi\ in^{2}\) is incorrect. The correct calculation: \(A=\frac{90}{360}\times\pi\times6^{2}=\frac{1}{4}\times36\pi = 9\pi\ in^{2}\). But if there is a mistake in the problem…
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what is the area of a sector of a circle with a radius of 9 centimeters…
C. \(27\pi\ cm^{2}\)
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what is the diameter of a circle with the equation $(x + 6)^{2}+(y - 4)…
B. 8
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find the center and radius of the circle having the equation: x² - 10x …
The center of the circle is \((5,1)\) and the radius is \(\sqrt{11}\)
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in this figure, sin(a) = 2/3. what is the value of cos(b)?
\(\frac{2}{3}\)
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a 25 ft. ladder needs to be placed against a wall 15 ft. high. how far …
The ladder should be placed \(20\) ft away from the base of the wall. The area of the rectangle is \(8\) square units.
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a boy stands 100 meters from the bottom of a building. the angle of ele…
C. \(y = 119m\)
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use your notes in your packet to show work. set up the problem. ² + ² =…
Set up the problem: \(x^{2}+6.5^{2}=8.5^{2}\) Solution \(x = 5.48\) cm
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10.2 cm 34.5 cm set up the problem solution ( x=) cm (rounded to the ne…
Set up the problem: \(10.2^{2}+34.5^{2}=x^{2}\) Solution \(x = 35.98\) cm
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1. a 12 foot ladder leans against a wall, making an angle of 40° with t…
1. The ladder rests approximately \(7.71\) feet high on the wall. 2. The base of the ladder is approximately \(9.19\) feet from the wall.
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problem 1. given the following right - angled triangle, find: a) sina, …
- **Problem 1a**: \(\sin A=\frac{2\sqrt{5}}{5},\cos A=\frac{\sqrt{5}}{5},\tan A = 2,\cot A=\frac{1}{2}\) - **Problem 1b**: \(\sin B=\frac{\sqrt{5}}{5},\cos B=\frac{2\sqrt{5}}{5},\…
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problem 1. given the following right - angled triangle, find: a) sina, …
a) $\sin A=\frac{2\sqrt{5}}{5}$, $\cos A=\frac{\sqrt{5}}{5}$, $\tan A = 2$, $\cot A=\frac{1}{2}$ b) $\sin B=\frac{\sqrt{5}}{5}$, $\cos B=\frac{2\sqrt{5}}{5}$, $\tan B=\frac{1}{2}$…
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use your notes in your packet to show work. set up the problem solution…
Set up the problem: \(3^{2}+12^{2}=x^{2}\) Solution: \(x = 12.37\) in.
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what angle measurement will make the value of sine and cosine equal? a …
B. \(45^{\circ}\)
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what angle measurement will make the value of sine and cosine equal? a …
C. \(\sin\alpha=\cos\beta\)
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sine/cosine of complementary angles 2 which best describes the relation…
C. \(\sin\alpha=\cos\beta\)
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do the following measurements form a right triangle? show proof (practi…
Yes, the measurements \(5\), \(12\), and \(13\) form a right - triangle.
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consider the relationship between the sine and cosine of complementary …
i. \(\cos22^{\circ}\) ii. \(\sin77^{\circ}\) iii. \(\cos41^{\circ}\) iv. \(\sin25^{\circ}\) v. \(\cos63^{\circ}\) vi. \(\sin58^{\circ}\)
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10/30 pythagorean theorem - basics find the missing side: 34 30
\(16\)
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a kite is flying 70 feet above the ground and is attached to a string t…
D. 109 feet
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a boat is spotted in the water with an angle of depression of 25° from …
D. 191 feet
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questions 1 through 4 refer to the following. let us, then, with courag…
D. Religious revivals encouraged the widespread development of reform movements
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questions 1 through 4 refer to the following. let us, then, with courag…
C. The Democratic - Republican Party had won the presidency for the first time.
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questions 1 through 4 refer to the following. let us, then, with courag…
B. To summarize his beliefs about the ideal political system
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the given line segment has a midpoint at $(-1,-2)$. what is the equatio…
\(y = - 4x-6\) (the second option)
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what is the equation of the line that is perpendicular to the given lin…
\(x = 2\) (First option)
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determining the perpendicular bisector which points are on the perpendi…
None of the given points \((-8,19)\), \((1,-8)\), \((0,19)\), \((-5,10)\), \((2,-7)\) are on the perpendicular bisector of the segment.
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positive connotation vs negative connotation circle the word with posit…
**Positive Connotation**: - "Wonderful" - "Smile" - "Reminded" - "Fascinating" - "Inexpensive" - "Hilarious" - "Moist" - "Antique" **Negative Connotation**: - "Starving" - "Blindi…
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25. find the area of the rectangle.
$\frac{1}{6}\text{ km}^2$
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23. evaluate ( 7 \times 6 - 2 ^ { 3 } left( \frac { 7 } { 2 } - \frac {…
\(26\)
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a geometry class is asked to find the equation of a line that is parall…
Both students are correct; the slope should be \(-1\), and the line passes through \((4,2)\) with a \(y\) - intercept of \(6\).
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question determine the relationship between the two triangles and wheth…
The two triangles are congruent by the Hypotenuse - Leg (HL) congruence criterion.
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question 6 of 6 $m\\angle5 = 8x - 15$ $m\\angle3 = 6x + 3$ what is the …
$57$
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determine the measure of ∠r. figure is not drawn to scale
\(44^{\circ}\)
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which angle pairs are alternate interior angles? your answer ∠3 & 4 ∠5 …
\(\angle4\ \&\ \angle5\)
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determine the value of x. figure is not drawn to scale question 3 of 6 …
\(x = \frac{62}{3}\)
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in triangle def, \\( \\angle d=(2 x+42) \\) , \\( \\angle e=(2 x-15) \\…
\(x = 15\)
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determine the value of x. figure is not drawn to scale your answer \\( …
\(x = 16\)
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mark any congruent parts on the triangles that can be proved. what addi…
The additional piece of information required is $ST = DT$.
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question what additional piece of mark any congruent parts on the trian…
\(\angle DTC\cong\angle STC\)
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question complete each statement by naming the corresponding angle or s…
\(\angle YXU\)
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δtux and δtvw are shown below. which statement is true? δtux is similar…
\(\triangle TUX\) is similar to \(\triangle TVW\).
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△ace and △dcb are shown below. which statement is true? △ace is similar…
\(\triangle ACE\) is similar to \(\triangle DCB\).
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△pqr and △stu are shown below. which statement is true? △pqr is similar…
There is not enough information to determine whether the triangles are similar.
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mark any congruent parts on the triangles that can be proved. what addi…
We need \( \angle DTU\cong\angle STU\) (or a corresponding non - included angle pair) to prove \( \triangle DUT\cong\triangle SUT\) by \( AAS\).
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△pqt and △rst are shown below. which statement is true? △pqt is similar…
\(\triangle PQT\) is not similar to \(\triangle RST\).
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△mno and △opq are shown below.which statement is true?△mno is similar t…
$\triangle MNO$ is similar to $\triangle OPQ$.
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△klm and △nop are shown below. which statement is true? △klm is similar…
\(\triangle KLM\) is similar to \(\triangle NOP\)
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mark any congruent parts on the triangles that can be proved. what addi…
\(MN = ML\)
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△def and △ghi are shown below. which statement is true? △def is similar…
$\triangle DEF$ is not similar to $\triangle GHI$.
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△lmn and △opq are shown below. which statement is true? △lmn is similar…
$\triangle LMN$ is similar to $\triangle OPQ$.
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given \\( \\triangle lmn \\cong \\triangle pqr \\) set up and solve an …
\(x = 6\)
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given \\( \\triangle l m n \\cong \\triangle p q r \\) set up and solve…
\(y = 16\)
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δfgh and δijk are shown below. which statement is true? δfgh is similar…
$\triangle FGH$ is similar to $\triangle IJK$.
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δabc and δdec are shown below.which statement is true?δabc is similar t…
\(\triangle ABC\) is similar to \(\triangle DEC\).
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given \\( \\triangle l m n \\cong \\triangle p q r \\) set up and solve…
\(y = 59\)
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△lmn and △pon are shown below. which statement is true? △lmn is similar…
\(\triangle LMN\) is similar to \(\triangle PON\)
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△cde and △fgh are shown below. which statement is true? △cde is similar…
\(\triangle CDE\) is not similar to \(\triangle FGH\).
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△bcd and △efd are shown below. which statement is true? △bcd is similar…
\(\triangle BCD\) is similar to \(\triangle EFD\)
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what is the area of this figure? 19 ft 5 ft 7 ft 3 ft 12 ft square feet
\(140\)
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δbcd and δfed are shown below. which statement is true? δbcd is similar…
$\triangle BCD$ is similar to $\triangle FED$.
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△abc and △cde are shown below. which statement is true? △abc is similar…
\(\triangle ABC\) is similar to \(\triangle CDE\)
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in \\( \\odot q \\), what is \\( m \\angle 1 \\)? a. \\( 33 ^ { \\circ …
A. \(33^{\circ}\)
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what is the area of this figure? 14 mm 6 mm 6 mm 12 mm 18 mm 8 mm squar…
\(180\)
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△cde and △fge are shown below. which statement is true? △cde is similar…
$\triangle CDE$ is similar to $\triangle FGE$.
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what is the area of this figure? 2 ft 6 ft 3 ft 4 ft square feet
\(32\)
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what is the area of this figure? 7 km 13 km 8 km 5 km 18 km 4 km square…
\(198\)
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what is the area of this figure? 7 km 9 km 8 km 22 km 5 km 9 km 8 km 24…
\(210\)
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a ski resort has a lift from a to c, as shown in the figure below. angl…
\(18.2^{\circ}\)
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what is the area of this figure? 9 cm 20 cm 24 cm 5 cm 4 cm 14 cm squar…
\(236\)