幾何
三角形、圓、解析幾何與證明題。
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17. polygon carbon is a regular hexagon. \\( \\triangle acn \\cong \\tr…
17. \(\triangle ACN\cong\triangle OAR\) 20. \(\triangle IBG\cong\triangle EBN\)
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part 1 of 2 (a) are figure a and figure b congruent? yes no correct ans…
The second (Translate Figure A down 9 units, and then reflect that result over the y - axis) and the third (Reflect Figure A over the y - axis, and then translate that result down…
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an airplane is 1500 ft in the air 2 miles north and 6 miles west of whe…
\(h\approx6.3\) miles
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144 = 100 + 225 - 300cos(b) find m∠b
$m\angle B\approx52.9^{\circ}$
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2. the circles have a radius of 1, 2, 3, and 4 units, respectively. the…
|Radius|Arc Length| \(\frac{\text{Arc Length}}{\text{Radius}}\) |Radian Measure of Central Angle| |---|---|---|---| |1| \(\pi\)|\(\pi\)|\(\pi\)| |2| \(2\pi\)|\(\pi\)|\(\pi\)| |3| …
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19. what is the length of \\( \\overline{jk} \\) in units?
\(13\) units (assuming vertical - only distance due to problem's intention, if following Pythagorean theorem with coordinate \(J(1,8)\) and \(K(-9,-5)\) is \(\sqrt{269}\approx16.4…
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2. the circles have a radius of 1, 2, 3, and 4 units, respectively. the…
| Radius | Arc Length | \(\frac{\text{Arc Length}}{\text{Radius}}\) | Radian Measure of Central Angle | |---|---|---|---| | \(1\) | \(\pi\) | \(\pi\) | \(\pi\) | | \(2\) | \(2\pi\…
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sold in the shape of right les. if the equation represents one lds 64 s…
\(8\)
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sun shades are sold in the shape of right isosceles triangles. if the e…
\(y=\frac{1}{2}x^{2}\) and \(y = 64\) (the second option)
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extension here are two circles of different sizes that intersect in 2 p…
Segment \(AB\) is the perpendicular bisector of segment \(CD\) because \(A\) is equidistant from \(C\) and \(D\) ( \(AC = AD\), radii of circle \(A\)) and \(B\) is equidistant fro…
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set 1. circle a has a radius of 15 feet and a circumference of 30π feet…
a. \( 180^{\circ} \) b. \( 15\pi\approx47.1 \) feet c. \( \pi\approx3.14 \)
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in each figure create a right triangle. justify your answer. 14. 16. us…
Neither of the two triangles is a right - triangle. For the triangle with sides \(6\), \(7\), \(10\), \(6^{2}+7^{2}=85 eq10^{2}\). For the triangle with sides \(6\), \(9\), \(12\…
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circle the fractions that are less than one half: \\( \\frac { 1 } { 4 …
\(\frac{1}{4}\), \(\frac{1}{3}\)
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use the pythagorean theorem to solve each problem. 6. gene and tina bui…
The length of the bike - ramp is approximately \(49.2\) inches. The distance \(d\) from the ground to the top of the ladder is approximately \(9.5\) feet.
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7. a rectangular picture frame has a diagonal length of 15 inches and a…
7. The width of the frame is approximately \(13.7\) inches. 9. The value of \(x\) is approximately \(27.9\) meters. 11. The drone is approximately \(119.3\) feet from its starting…
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8. a painter leans a ladder against the side of a house. what is d, the…
\(15\)
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use the diagram for problems 6 - 7. 11. if ( odot t ) is the pre - imag…
a. $\frac{1}{3}$ b. $\frac{1}{3}$ c. $1$ d. $\frac{1}{9}$ e. $\frac{1}{9}$
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use the following diagram to answer question 5. 5. solve for ( x ) and …
\(x = 30.3\) mm, \(y = 37.0\) mm
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4. each circle has a different radius. fill in the chart with the indic…
|Radius|Arc Length| \(\frac{\text{Arc Length}}{\text{Radius}}\)|Area of Sector| |---|---|---|---| |10| \(2.5\pi\)|\(\frac{\pi}{4}\)| \(12.5\pi\)| |20| \(5\pi\)|\(\frac{\pi}{4}\)| …
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to rebuild a bridge that was washed out by a flood, a surveyor needs to…
\(\theta = 24^{\circ}\), \(opposite=\text{width of the river}\), \(adjacent = 200\) m, \(trig\ ratio\ used=\tan\) and the width of the river is \(89\) m.
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drag and drop the slope of each table in the white rectangles. not all …
A: \(\frac{7}{8}\) B: \(-9\) C: \(15\) D: \(\frac{1}{2}\) E: \(-\frac{4}{5}\) F: \(0\)
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write a statement that indicates that the triangles in each pair are co…
14) \(\triangle YHI\cong\triangle JHI\) 15) \(\triangle XWV\cong\triangle JKV\) 16) \(\triangle RQP\cong\triangle WVP\)
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practice problem solve for m∠b
\(m\angle B\approx41.4^{\circ}\)
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write a statement that indicates that the triangles in each pair are co…
\(\triangle GHI\cong\triangle WXV\)
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use the following diagram to answer question 3. 3. solve the above righ…
\(x\approx52.6\) mm, \(y\approx38.2\) mm, \(A = 54^{\circ}\)
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a ramp is attached to a movers truck. the ramp is 8 ft long and the tru…
The angle that the ramp makes with the ground is approximately \(39^{\circ}\).
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practice problem solve for $mangle b$
\(m\angle B\approx85.5^{\circ}\)
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use the following diagram to answer question 1. 1. find the value of si…
\(x\approx43.2\)
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vasquez unit 5 3. what additional congruence must be established to pro…
3. \(CA\cong SA\) 4. \(TE\cong MI\)
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answer the following questions, showing all your work for full marks. 1…
\(x\approx43.2\) m.
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9m 4m find x
\(x\approx63.61^{\circ}\)
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2. in the diagram, (overline{bd}) bisects (angle abc). what additional …
Side Pair: \(AB = CB\), Angle Pair: \(\angle ABD=\angle CBD\), Side Pair: \(BD = BD\)
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find ( mangle1 ). 24. 25. 26. 27.
24. \(15^{\circ}\) 25. \(90^{\circ}\) 26. \(28^{\circ}\) 27. \(80^{\circ}\)
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proof write a paragraph proof to prove that if ( pq = 4(x - 3)+1 ), ( q…
From the given, \(PQ = 4(x - 3)+1\) and \(QR=x + 10\). Because \(x = 7\), \(PQ=4(7 - 3)+1=17\) and \(QR=7 + 10=17\) by the substitution property. By substitution (equality of thei…
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drag each shape to the correct bucket to tell what type of symmetry, if…
- **Square**: Both Line and Rotational Symmetry - **Regular hexagon**: Both Line and Rotational Symmetry - **Isosceles trapezoid**: Line Symmetry Only - **Scalene triangle**: No S…
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if placed on a coordinate grid, each of the triangles in set 1 could li…
Triangles \(A\) and \(E\) could lie on a graphed line with a slope of \(6\). Triangles \(B\) and \(F\) could lie on a graphed line with a slope of \(4\). Triangles \(C\) and \(D\)…
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15. graph the image of ( a(-7,6) ) after a reflection in ( y=x ) follow…
The image of \(A(-7,6)\) after the two - step reflection is \((0,-7)\)
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a protected wilderness area in the shape of a rectangle is 3 kilometers…
\(94500\)
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phonics: consonant blends skate sled smoke snip spot stop swing use the…
1. sled (circle "sl") 2. smoke (circle "sm") 3. snip (circle "sn") 4. stop (circle "st") 5. spot (circle "sp") 6. skate (circle "sk") 7. swing (circle "sw") Sentence example: "I l…
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find the perimeter of the rectangle. express the perimeter using the sa…
The perimeter of the rectangle is \(34\) yd.
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a 22 - foot ladder is placed against a vertical wall of a building, wit…
\(19.60\)
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use similar triangles to solve. a person who is 5 feet tall is standing…
\( 50 \) ft
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practice b identifying simple predicates in each sentence below, the co…
1. The dishes you gave me will \(\boldsymbol{\text{make}}\) the table beautiful. 2. Gray days \(\boldsymbol{\text{remind}}\) me of my summer in Seattle. 3. He \(\boldsymbol{\text{…
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4 - 21. kelsos mom wants to put a floating blanket over the familys cir…
a. \(78.5\) square feet b. \(\$7.85\)
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use the pythagorean theorem to find the missing length in the right tri…
\(10.6\) cm
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c. if the ship must be 50 m to the right of its current position from t…
\(23^{\circ}\)
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δabc and δade are similar. find the length of side \\overline{ca}.
\(6\)
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find the measure of the complement and the supplement of 8°. what is th…
\(172\)
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find the measure of the complement and the supplement of 8°. what is th…
\(82\)
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3. given: \\( \\overline { l t } \\cong \\overline { t r } \\), \\( \\a…
\(\triangle LIT\cong\triangle TER\) by the ASA (Angle - Side - Angle) congruence criterion.
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at your citys council meeting, you hear a proposal for a hiking trail t…
Draw a picture.
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you are standing 144 ft from the base of a tree with a 156 - ft shadow.…
Proportion
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8. the fisgard lighthouse near victoria, bc, was the first lighthouse b…
The distance from the base of the lighthouse (the rocks) to the ship is approximately \(309\) m.
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a 24 - foot ladder is leaning against a vertical wall, with the bottom …
Pythagorean theorem
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you inherit a home with a spectacular window feature shaped like a rect…
Measure the height of the rectangle and measure the base of the rectangle.
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3. given: \\( \\overline { l t } \\cong \\overline { t r } \\), \\( \\a…
3. \(\triangle LIT\cong\triangle TER\) by ASA. 4. \(\triangle ABC\cong\triangle EDC\) by ASA. 5. \(P\) is equidistant from \(A\) and \(B\) (i.e., \(\overline{PA}=\overline{PB}\)) …
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prove that ∠6≅∠2. two collum proof given:f∥g prove:∠6≅∠2
\(\angle6\cong\angle2\) is proved.
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determine the equation of the circle graphed below.
\((x - 3)^2+(y - 4)^2 = 9\)
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2. graph the solution to the inequality. $-\\frac{1}{3}x\\geq2$ or $2(x…
The solution is \(x\leq - 6\) or \(x>3\). On the number - line, for \(x\leq - 6\), we have a closed circle at \(x = - 6\) and an arrow to the left. For \(x>3\), we have an open ci…
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2. graph the solution to the inequality. -\\frac{1}{3}x \\geq 2 or 2(x …
To graph \(x\leq - 6\), draw a closed circle at \(-6\) (because the inequality includes equality) and shade to the left. To graph \(x>3\), draw an open circle at \(3\) (because th…
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a triangle has angles with measures x, 4x, and 10x. find the measure of…
\(x = 12\) \(4x = 48\) \(10x = 120\)
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determine the equation of the circle graphed below. answer attempt 1 ou…
\((x + 2)^2+(y + 5)^2=20\)
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solve the geometry problem. given the following triangle, find the meas…
\(x - 20^{\circ}=30^{\circ}\), \(x + 10^{\circ}=60^{\circ}\)
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determine the equation of the circle graphed below. answer attempt 1 ou…
\((x + 3)^2+(y - 5)^2=20\)
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date: _ review: week 9 3 what is the area? 4 solve
The area of the first triangle is \(14m^{2}\) and the area of the second triangle is \(12mm^{2}\)
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determine the equation of the circle graphed below. answer attempt 1 ou…
\((x + 3)^2+(y + 2)^2=17\)
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5.find the value of x and the missing angle measure. 2x 116° 44°
\(x = 36^{\circ}\) and the missing angle measure (\(2x\)) is \(72^{\circ}\)
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select the graph that correctly represents the following: the line thro…
The second graph.
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find the center and radius of the circle represented by the equation be…
Center: \((-6,-14)\) Radius: \(16\)
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wxyz is a kite. angle wxy has a measure of 133° and angle zyx has a mea…
\(30^{\circ}\)
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question find the center and radius of the circle represented by the eq…
Center: \((-4,15)\) Radius: \(12\)
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which sign makes the statement true? \frac{4}{10} \textcircled{?} \frac…
\(<\)
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unit 3b: government and economics 4. what determines prices in a market…
4. In a market economy, prices are determined by the interaction of supply and demand. 5. One advantage of a market economy is that it encourages innovation. 6. B. In a market eco…
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find the distance along an arc on the surface of earth that subtends a …
\(27.65\)
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which sign makes the statement true? \\frac{5}{10} \\textcircled{?} \\f…
=
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which sign makes the statement true? \\frac{3}{6} \\textcircled{?} \\fr…
$>$
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which of the following points is collinear with (1, 3), and (3, 5)? (2,…
\((4,6)\)
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solve the geometry problem. given the following triangle, find the meas…
\(2x = 70^{\circ}\), \(x + 50^{\circ}=85^{\circ}\), \(x-10^{\circ}=25^{\circ}\)
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which of the following points is collinear with (1, 1), and (2, 2)? ○ (…
\((3,3)\)
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determine the equation of the circle graphed below. answer attempt 1 ou…
\(x^{2}+y^{2}=81\)
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a line passes through the two given points. is it vertical, horizontal,…
Horizontal
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a line passes through the two given points. is it vertical, horizontal,…
Neither
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a line passes through the two given points. is it vertical, horizontal,…
Horizontal
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a line passes through the two given points. is it vertical, horizontal,…
Horizontal
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a line passes through the two given points. is it vertical, horizontal,…
Horizontal
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a line passes through the two given points. is it vertical, horizontal,…
C. Neither
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using the paths shown, how long is the shortest route from centerville …
\(28.1\)
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for what values of x and y are the triangles to the right congruent by …
\(x = 6\) and \(y = 2\)
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using the paths shown, the distance from silvergrove to vindale is 9.6 …
$5.9$
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solve for x. round to the nearest tenth, if necessary.
\(62.6\)
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solve for x. round to the nearest tenth, if necessary.
\(x = 13.7\)
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current skill find the measure of angle 6.
\(84\)
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find the value of \\( \\cos t \\) rounded to the nearest hundredth, if …
$0.28$
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the angle of elevation to a nearby tree from a point on the ground is m…
$71.57$ feet
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find the value of x. 7. 8. 9. 10.
7. \(x = 70\) 8. \(x = 70\) 9. \(x = 60\) 10. \(x = 50\)
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a boat is heading towards a lighthouse, whose beacon - light is 113 fee…
The ship's horizontal distance from the lighthouse (and the shore) is approximately $581.3$ feet.
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10) the hshs backpacking club decided to split up. half of the hiking g…
The two groups are approximately \(\sqrt{85}\approx9.22\) miles apart.
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one angle of an isosceles triangle measures 108°. what measures are pos…
\(36^{\circ}\)
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geometry find the perimeter of the regular polygon. 3(x - 1) 5x - 6 the…
\(7.5\)
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a right triangle has one angle that measures 21°. what is the measure o…
\(69\)