幾何
三角形、円、座標幾何、証明問題。
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given vectors ( mathbf{u}=langle-2,-1 angle ) and ( mathbf{v}=langle6,1…
\(\langle4,0 angle\)
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given vectors ( mathbf{u}=langle 7,-4 angle ) and ( mathbf{v}=langle 2,…
\(\langle9,3 angle\)
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given vectors $\\mathbf{u}=\\langle 1,-2\ angle$ and $\\mathbf{v}=\\lan…
\(\langle-2,2 angle\)
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solve for x. round to the nearest tenth of a degree, if necessary.
\(30^{\circ}\)
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solve for x. round to the nearest tenth of a degree, if necessary.
\(x\approx42.1^{\circ}\)
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solve for x. round to the nearest tenth of a degree, if necessary.
\(33.4^{\circ}\)
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solve for x. round to the nearest tenth of a degree, if necessary. answ…
\(46.5\)
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solve for $x$. round to the nearest tenth of a degree, if necessary. an…
\(30.4\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx0.9\)
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find the exact value of \\( \\cos x \\) in simplest radical form.
\(\frac{4}{5}\)
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solve for x. round to the nearest tenth of a degree, if necessary. answ…
\(58.4\)
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given vectors ( mathbf{u}=langle-1,-1 angle ) and ( mathbf{v}=langle 7,…
\(\langle6,3 angle\)
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a center n is shown in the figure below. (a) name a diameter: (b) name …
(a) $\overline{KO}$ (b) $\overline{NP}$ (or $\overline{NK},\overline{NO}$) (c) $\overline{ML}$ (or $\overline{KO},\overline{MP}$) (d) $2$ units
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question 9 of 10 which of the following passages from \the jilting of g…
D. Dark colors with the shadows rising towards the ceiling in long angles.
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geometry, measurement, data analysis introduction to a circle: diameter…
(a) \(\overline{SV}\) (b) \(\overline{RQ}\) (or \(\overline{RS}\), \(\overline{RV}\)) (c) \(\overline{TU}\) (or \(\overline{SV}\)) (d) \(5\) units
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in circle p with ( mangle npq = 82^{circ} ), find the measure of minor …
\(82\)
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g is shown in the figure below. (a) name a radius: (b) name a diameter:…
(a) \( OJ\) (or \( OH\), \( OI\)) (b) \( IH\) (c) \( LK\) (or \( IH\)) (d) \( 8\) units
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in circle t with the measure of arc (overparen{su}=60^{circ}), find (m …
\(60\)
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de with center g is shown in the figure below. (a) name a diameter: (b)…
(a) $\overline{HI}$ (b) $\overline{GF}$ (or $\overline{GH}$, $\overline{GI}$) (c) $\overline{IJ}$ (or $\overline{HI}$) (d) $2$ units
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in circle r with ( mangle qrs = 150^{circ} ), find the measure of minor…
$150^{\circ}$
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a circle with center o is shown in the figure below. (a) name a diamete…
(a) \(\overline{PS}\) (b) \(\overline{ON}\) (or \(\overline{OS}\) or \(\overline{OP}\)) (c) \(\overline{QR}\) (or \(\overline{PS}\)) (d) \(3\) units
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a circle with center i is shown in the figure below. (a) name a radius:…
(a) \( \overline{TV}\) (or \( \overline{TU}\), \( \overline{TQ}\)) (b) \( \overline{QU}\) (or \( \overline{VX}\)) (c) \( \overline{SR}\) (or \( \overline{QU}\), \( \overline{VX}\)…
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using diagonals from a common vertex, how many triangles could be forme…
7
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what is the sum of the interior angles of the polygon pictured below? a…
\(3780\)
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triangle xyz has vertices at ( x(2,3) ), ( y(4,0) ), and ( z(2,5) ). af…
D. translation
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24.5x + 3 < -8.2x - 8.9 select the graph that represents the solution t…
The second graph (with an open - circle at approximately \(-0.364\) and the arrow pointing downwards (left - direction on the vertical number - line)) is the correct graph.
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using diagonals from a common vertex, how many triangles could be forme…
\(6\)
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using diagonals from a common vertex, how many triangles could be forme…
\(5\)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 137\), \( y = 137\)
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(problem reference m.1) four displacement vectors are shown in the figu…
\(2.16\space cm\)
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find the subjects in unusual positions. underline the verb and circle t…
1. Verb: is; Subject: the key 2. Verb: went; Subject: the photographers 3. Verb: Save; Subject: you (implied) 4. Verb: Did make; Subject: Mickey 5. Verb: is; Subject: noise 6. Ver…
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given ( m parallel n ), find the value of ( x ) and ( y ). answer attem…
\( x = 65 \), \( y = 115 \)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 41\), \(y = 139\)
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solve for the value of $d$. answer attempt 1 out of 3 $d =$ submit answ…
\(d = 10\)
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(problem reference m.1) four displacement vectors are shown in the figu…
-2.48 cm
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5.25x + 3.7 < -4.6x + 28.325 select the graph that represents the solut…
The graph with an open - circle at \(2.5\) and the arrow pointing to the left.
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solve for the value of r. answer attempt 1 out of 3 $r=$ submit answer
\(r = 2\)
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if a triangle is divided into two smaller triangles by an altitude and …
c. \(\frac{YP}{PZ}=0.67,\frac{XY}{XZ}=0.67\)
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vertical/adjacent/complementary angles (al question video examples solv…
\(p = 11\)
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solve for the value of z. answer attempt 1 out of 3 z = submit answer c…
\(z = 8\)
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solve for the value of d. answer attempt 3 out of 3 d =
\(d = 6\)
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(a) the arrows below show that the coordinates on the left are mapped t…
(a) \(X(-8,1)\to X'(-1,-8)\), \(Y(-6,7)\to Y'(-7,-6)\), \(Z(-2,-3)\to Z'(3,-2)\) (b) \((x,y)\to(-y,-x)\)
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if a triangle is divided into two smaller triangles by an altitude and …
c. \( \frac{YP}{PZ}=0.67,\frac{XY}{XZ}=0.67 \)
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if a triangle is divided into two smaller triangles by an altitude and …
c. \( \frac{YP}{PZ}=0.67,\frac{XY}{XZ}=0.67 \)
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11 fill in the blank 0.5 points △dab≌△ by
\( \triangle BCD \); SSS
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find the measure of the missing angles. answer attempt 1 out of 3 d = °…
\(d = 90^{\circ}\), \(e = 119^{\circ}\), \(f = 61^{\circ}\)
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1. if a triangle is divided into two smaller triangles by an altitude a…
c. \(\frac{YP}{PZ}=0.67,\frac{XY}{XZ}=0.67\)
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the radius of mars is about half the radius of earth. guadalupe cuts ou…
For Earth: \(7\) in. For Mars: \(3.5\) in.
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13 fill in the blank 0.5 points △abc≌△ by
\( \triangle ABC\cong\triangle DBC \) por **Ángulo - Lado - Ángulo (ALA)**
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13 fill in the blank 0.5 points △efg≅△ by 12 fill in the blank 0.5 poin…
\( \triangle EFG \cong \triangle EHG \) por SSS.
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the radius of mars is about half the radius of earth. guadalupe cuts ou…
7 in.
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11 fill in the blank 0.5 points △dab≌△ by
\(\triangle BCD\) por el criterio SSS.
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edwards grandmother used to make him pannukakku when he was little. he …
B. A pan with a radius of 6 in.
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10 fill in the blank 0.5 points △vyx≌△
$\triangle YVZ$
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9) volume =
\(754\) \(in^3\)
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7. carpenters refer to the slope of a roof as the pitch of the roof. fi…
\(3\)
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m∠abc = 180° what type of angle is it? obtuse straight right acute
straight
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7) 8) volume =
\( 684\,\text{ft}^3 \)
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solving inequalities coloring activity directions: solve each inequalit…
1. \( x\leq - 5 \) 2. \( x>-24 \) 3. \( x<-16 \) 4. \( x\leq - 2 \) 5. \( x > 15 \) 6. \( x>9 \) 7. \( x < 10 \) 8. \( x<-3 \) 9. \( x\leq17 \) 10. \( x < 4 \) 11. All Real Number…
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find the area. area of □=□ in² area of □=□ in² remember a_2 = s^2 area …
Area of \(\square\) (square) \(= 16\space in^{2}\), Area of \(\square\) (rectangle) \(= 14\space in^{2}\), Area of Figure \(= 30\space in^{2}\)
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find the perimeter of the trapezoid with these vertices. (5, 2), (5, -3…
$17+\sqrt{61}$
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name: the subject in a sentence can be a who or a what. a what is a thi…
1. WHAT: pizza 2. WHAT: bike 3. WHAT: car 4. WHAT: ball 5. WHAT: cat 6. WHAT: rocks 7. WHAT: slide 8. WHAT: dog 9. WHAT: cup 10. WHAT: bed
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find the area. area of □= area of △= remember: a□=bh area of figure= in²
Area of \(\square = 135\) \(in^{2}\) Area of \(\triangle=120\) \(in^{2}\) Area of Figure \(=255\) \(in^{2}\)
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find the surface area of a cylinder with a base radius of 2 in and a he…
\(62.8\) in²
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find the area. first, find the area of the triangle. remember: $a_{\\tr…
The area of the triangle is \(24\) units², the area of the rectangle is \(104\) units², and the total area is \(128\) units².
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solving inequaliti directions: solve each inequality. circle correspond…
1. \(x\leq - 5\) 2. \(x>-24\) 3. \(x<-16\) 4. \(x\leq - 2\) 5. \(x>15\) 6. \(x>9\) 7. \(x < 10\) 8. \(x<-3\) 9. \(x\leq17\) 10. \(x < 4\) 11. All real \(x\) 12. \(x < 3\) 13. \(x\…
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what is the area of the pitchers circle? you can use the formula ( a=pi…
\(16\pi\) \(ft^{2}\)
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read the sentences below, filling in the blanks with items from this li…
1. equal 2. proportional 3. AA 4. elevation 5. proportions 6. right 7. corresponding 8. shape
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irma takes a rectangular piece of fabric and cuts from one corner to th…
\(6.7\)
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a building casts a shadow 50 ft long, and a 5 ft pole casts a shadow 2 …
1. a. Set up a proportion using similar triangles. 2. b. 8 3. c. \(\frac{20}{10}=\frac{6}{x}\) 4. b. 2
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on the school playground, the slide is due west of the tire swing and d…
\(6.7\)
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the length of bonnies rectangular living room is 5 meters and the dista…
\(4.9\)
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a mouse has made holes in opposite corners of a rectangular kitchen. th…
4
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a 12 - inch tall model casts a shadow of 4 inches. a full - scale objec…
1. d. 48 feet 2. a. 18 feet 3. a. 20 ft 4. d. Yes, their sides are proportional 5. c. All corresponding angles are congruent 6. b. 18 ft
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stefan is in a hot air balloon that has just taken off and is now float…
60
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stacy is deep - sea diving with two friends. maggie is exploring a cora…
20
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a gopher has dug holes in opposite corners of a rectangular yard. one l…
55
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1. write the direction of the translation above each rule. hint: use wo…
| Rule | Direction | |--|--| | \((x + a)\) | RIGHT | | \((x - a)\) | LEFT | | \((y - b)\) | DOWN | | \((y + b)\) | UP |
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example 2 try it! draw rotations in the coordinate plane 2. the vertice…
a. \(X'(4,-7)\), \(Y'(0,-8)\), \(Z'(-2,1)\) b. \(X''(7,4)\), \(Y''(8,0)\), \(Z''(-1,-2)\)
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4. write the rule for the translation: $(x,y)\\to(x,y)$ 5. write the ru…
4. \((x,y)\to(x - 3,y-4)\) 5. \((x,y)\to(x,y - 5)\) 6a. \(A'(-8,0)\), \(B'(-2,-5)\), \(C'(-1,-2)\) 6b. \(A'(5,-3)\), \(B'(11,-8)\), \(C'(12,-5)\) 7. Over \(x -\)axis: \((x,-y)\); …
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triangle ( def ) is the image of triangle ( def ) under a reflection ac…
Reflection: \((x,y)\to(y,x)\) Translation: \((x,y)\to(x - 7,y + 1)\)
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12 use the distributive property to write an expression to represent th…
\( 2(2x + 1)+2(3x - 5) \); \( 10x - 8 \)
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the figure on the right is a scaled copy of the figure on the left, tho…
The side that corresponds to \(MN\) is \(DG\). The scale factor is \(\frac{1}{2}\)
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scale drawings a and b are made from the same original drawing. scale d…
a. The scale factor is \(12\). b. First, find the area of the kitchen in scale drawing A (\(A_{A}=l\times w\), where \(l = 1\) inch and \(w=\frac{3}{4}\) inch). Then, since the sc…
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the figure on the right is a scaled copy of the figure on the left, tho…
The side that corresponds to segment \(DF\) is \(XW\). The scale factor is \(\frac{1}{2}\)
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quadrilateral vwxy is dilated by a scale factor of 3 to form quadrilate…
\(48\)
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parallelogram qrst is dilated by a scale factor of 2 to form parallelog…
$9$
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read the sentences below, filling in the blanks with items from this li…
1. dilation 2. reflection 3. rotation 4. translation 5. shape 6. scale factor 7. transformation 8. proportionality 9. relationships 10. shape
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volume = 5) volume = 8)
\(230\) \(in^3\)
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the triangle on the right is a scaled copy of the triangle on the left.…
\(\frac{2}{7}\)
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rectangle r with side lengths 4 and 6 is dilated by a scale factor of 2…
a. 8 and 12; a. 6; a. Yes, by dilation; d. \((x - 1,y - 2)\)
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the right triangle on the right is a scaled copy of the right triangle …
\(2\)
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a rectangle is dilated by a scale factor of 0.5 with the origin as the …
1. c. They are halved. 2. c. They are similar. 3. a. \((x + 3,y + 3)\) 4. d. Their corresponding angles are equal. 5. c. They are similar. 6. b. It changes the size of the figure.
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1 - 7 additional practice - writing proofs 1. find the value of each va…
\(x = 30\), and the measure of each angle is \(150^{\circ}\). ### Problem 2:
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4) 5) volume =
132 yd³
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which formulas can be used to find the area of a circle? choose all tha…
\(A=\pi(\frac{1}{2}d)^{2}\), \(A = \pi r^{2}\)
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the radius, r, of a sphere is 9.4 m. calculate the spheres volume, v. u…
\(3477.4\)
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graph. x < -56 to draw a ray, plot an endpoint and select an arrow. sel…
Plot an open circle at \(-56\) and draw a ray extending to the left.
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graph. x ≤ 500 to draw a ray, plot an endpoint and select an arrow. sel…
A closed circle at \(500\) and a ray extending to the left on the number - line.
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8 if a rectangle has dimensions of 10 meters by 5 meters and is scaled …
8. c. 20 meters by 10 meters 9. d. Their corresponding radii are proportional 10. c. Dilation and translation 11. d. Dilation and translation 12. a. 6 meters 13. c. \((2,2),(2,4),…