Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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9. if the sum of the measures of the interior angles of a polygon is 19…
13
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how far you can see on a clear day depends on where you are. on the oce…
1. **For the beach - seeing distance**: - Let's assume the height of the eye above the land \(h = 5.5\) feet. Using the formula \(d=\sqrt{1.5h}\), we have \(d=\sqrt{1.5\times5.5}=…
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8. find the length of ab, given a(3, 10) and b(-2, 8). round to the nea…
$5.4$
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date: ____________ per: ____________ unit 7: polygons & quadrilaterals …
1. $1080^{\circ}$ 2. $4140^{\circ}$ 3. $120^{\circ}$ 4. $157.5^{\circ}$ 5. $360^{\circ}$ 6. $12^{\circ}$ 7. $16$ 8. $36$
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how far you can see on a clear day depends on where you are. on the oce…
$d=\sqrt{1.5\times5.5}\approx2.9$ miles
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answer attempt 1 out of 2 slope of the line: submit answer
1
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4. find the distance between the two points using the pythagorean theor…
A. $\sqrt{82}$
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3. find the distance between the two points using the pythagorean theor…
D. $\sqrt{85}$
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7. find the midpoint of ab, given a(3, 10) and b(-2, 8)
$(\frac{1}{2},9)$
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make a sketch for each problem. label the lengths that are known. then …
127 feet
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determine the coordinates of the vertices of the rectangle to compute t…
B. 30 units²
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what is the length of $overline{ab}$? a 6 units b 8 units c 10 units d …
C. 10 units
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find the distance between the two points (-4, -5) and (1, -2). a $sqrt{…
B. $\sqrt{34}$
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2. use the pythagorean theorem to find the distance between the two poi…
The process to find the distance between two points using the Pythagorean theorem is as above. You need to determine the horizontal and vertical displacements \(a\) and \(b\) from…
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make a sketch for each problem. label the lengths that are known. then …
127 feet
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which is the best way to complete the text? francis scott key penned th…
Fort McHenry; he
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circle the best answer, and write the letter in the blank. 11. the civi…
11. D. all of the above 12. A. Martin Luther King, Jr. 13. B. Equal Protection Clause 14. Schools and public transportation. 15. Organized marches.
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8. the perimeter of a rectangle is 90 cm. the length is three times the…
width: $11.25$ cm length: $33.75$ cm
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matching match each word to its definition, and write the letter in the…
1. D. to stop buying or using certain goods or services as a protest 2. A. the separation of one group from another 3. C. the right to be treated equally under the law 4. E. hatre…
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the pythagorean theorem right triangles (triangles with right - angles)…
1. For the triangle with \(a = 12\) and \(b = 5\), \(c = 13\) 2. For the triangle with two equal - length sides \(a=b = 35\), \(c=\sqrt{35^{2}+35^{2}}=\sqrt{2\times35^{2}}=35\sqrt…
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find the measure of gh. unit 1 practice test question 21
$5.3$ mm
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use the number line to find the coordinate of the midpoint of $overline…
-2
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3. you are building a ramp that has an elevation of 24 in. the distance…
3. The angle of elevation is approximately $25.6^{\circ}$. 4. The height of the building is 50 ft.
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2. if m∠9 = 97° and m∠12 = 114°, find each measure. a. m∠1= b. m∠2= c. …
a. $m\angle1 = 97^{\circ}$ b. $m\angle2 = 83^{\circ}$ c. $m\angle3 = 83^{\circ}$ d. $m\angle4 = 97^{\circ}$ e. $m\angle5 = 97^{\circ}$ f. $m\angle6 = 83^{\circ}$ g. $m\angle7 = 83…
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examining lines in three dimensions. are the lines in the diagram perpe…
perpendicular
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3) rotation 90° counterclockwise about the origin
The new triangle is formed by the points obtained by applying the $(x,y)\to(-y,x)$ transformation to the vertices of the original triangle.
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suppose that the function (f) is defined, for all real numbers, as foll…
The graph consists of a horizontal line \(y=-1\) for \(x < 0\) (open - circle at \(x = 0\)), the point \((0,-2)\) (closed - circle), and a horizontal line \(y = 1\) for \(x>0\) (o…
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1. if m∠8 = 23°, find each measure. give your reasoning. a. m∠1 = b. m∠…
a. $m\angle1 = 157^{\circ}$ b. $m\angle2 = 23^{\circ}$ c. $m\angle3 = 157^{\circ}$ d. $m\angle4 = 23^{\circ}$ e. $m\angle5 = 157^{\circ}$ f. $m\angle6 = 23^{\circ}$ g. $m\angle7 =…
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rotations graph the image of the figure using the transfor 1) rotation …
# Explanation: ## Step1: Recall rotation rules For a 180 - degree rotation about the origin, if a point $(x,y)$ is rotated, the new point is $(-x,-y)$. For a 90 - degree counter -…
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2. find the angle of elevation on the following slopes. round to the ne…
a. $37.2^{\circ}$ b. $20.6^{\circ}$ c. $25.6^{\circ}$
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find the value of n and yz if y is between x and z. xy = 4n + 3, yz = 2…
\(n = 4\), \(YZ = 1\)
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17. choose the best answer. we expect to see a ___ for the graph of a c…
17. D. line 18. B. stretched
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10. for circle (x - 2)^2+(y + 3)^2 = 49/64, find the center and radius.…
10. Center: $(2,-3)$; Radius: $\frac{7}{8}$ 11. It is not a function because the input $x=-2$ has two different outputs ($y = 3$ and $y = 4$).
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1. calculate the missing angles and the slope of the hypotenuse. round …
### Case c: Missing angles: approximately \(53.8^{\circ}\) and \(36.2^{\circ}\), Hypotenuse: approximately \(32.2\) m, Slope of hypotenuse: approximately \(1.4\) ### Case d: Missi…
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13. interchange the x and y - values of each ordered pair. (-3,0)→ (-2,…
(-3,0)→(0, -3) (-2,1)→(1, -2) (1,2)→(2, 1) (6,3)→(3, 6)
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here is a rectangle. what is the area of the rectangle? 8 square units.…
Area: 8 square units Perimeter: 12 units
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5. one straight section of road rises from an elevation of 1070 m to 11…
4.8%
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e. x = ____
\(x = 3\)
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for problems #5 - 6, simplify. 5. find the perimeter of the figure belo…
\(10x + 2y\)
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question #13 reference q.14167 in each case, calculate the measure of t…
a. $14^{\circ}$ b. $37^{\circ}$ c. $36^{\circ}$
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parallel and perpendicular lines examining lines in three dimensions wh…
a and c, a and e, c and e
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9. the area of a rectangle is 6x² - 17x - 45 and the width is 2x - 9. w…
$3x + 5$
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maps leila is walking from the park at point p to a restaurant at point…
The point at which Leila should stop for her break is \((6.25,3.375)\)
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we expect to see a ___ for the graph of a composition of a function and…
1. line 5. \(x - 3\) 6. \(x^{2}+5\)
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the length of chens office is 15.5 feet and the width is 7.8 feet. use …
$46.6$
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12) find the composition of the function. $f(x)=\\sqrt{x}$ and $g(x)=x^…
12) C. \(x - 3\) 13) B. \(x - 6\sqrt{x}+9\) 14) A. \((x + 2)^{2}+(y - 5)^{2}=25\)
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suppose m is the mid - point of $overline{fg}$. find the missing measur…
$2.5$
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1) choose the best answer. when we compose functions, we must make sure…
1. C. domain 2. B. commutative 3. A. line
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the right triangle below is dilated by a scale factor of 1/2. find the …
Perimeter of given right triangle: 120 units Area of given right triangle: 480 units² Perimeter of dilated right triangle: 60 units Area of dilated right triangle: 120 units²
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the square below is dilated by a scale factor of 2. find the perimeter …
Perimeter of given square: 12 units Area of given square: 9 square units Perimeter of dilated square: 24 units Area of dilated square: 36 square units
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7. draw two lines that intersect at point r. put points c, a, w, & l su…
A hand - drawn sketch with two intersecting lines at point R, points C, A, W, L placed as described with ∠CRA vertical to ∠WRL and ∠CRW acute. (Since this is a drawing task, a ver…
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the right triangle below is dilated by a scale factor of 3. find the pe…
Perimeter of given right triangle: $60$ units Area of given right triangle: $120$ units² Perimeter of dilated right triangle: $180$ units Area of dilated right triangle: $1080$ un…
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the area of a rectangle is 5x^3 + 19x^2 + 6x - 18 with length x + 3. us…
$5x^{2}+4x - 6$
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d. x = ____ 40° 130° x
$90^{\circ}$
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find the perimeter of the figure below, in centimeters. (note: diagram …
$159$
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find the perimeter of the figure below, in meters. (note: diagram is no…
$178.8$
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p1.1 - p1.5 algebra 2 test multiple choice. circle the correct answer. …
c. 15
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which angle is vertical to ∠dfe?
∠BFC
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other than itself, which angle is congruent to ∠dfa?
$\angle BFC$
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which angles are vertical to each other? ∠bec and ∠ced, ∠dea and ∠ced, …
\(\angle DEA\) and \(\angle BEC\)
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the net of a rectangular prism is shown below. the surface area of each…
$2,4,10$
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which angles are congruent to each other? ∠dea and ∠ebj ∠gch and ∠ecf ∠…
$\angle GCH$ and $\angle ECF$
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the net of a rectangular prism is shown below. the surface area of each…
$4,5,12$
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which angle is vertical to ∠ebg?
$\angle FBA$
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tristan wraps a gift - box in the shape of a right rectangular prism. t…
292
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what is the surface area of the box, in square inches, that grayson dec…
862
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which angles are vertical to each other? ∠11 and ∠7 ∠6 and ∠2 ∠4 and ∠9…
∠12 and ∠10
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enjar wraps a gift - box in the shape of a right rectangular prism. the…
812
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which angle is vertical to ∠8?
∠6
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3. find the measure of ∠j 4. find the measure of ∠z 5. find the measure…
∠j: \(50^{\circ}\) ∠z: \(\frac{5101}{57}\approx89.5^{\circ}\) ∠s: \(110^{\circ}\)
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identifying a summary \looks like we have some sick monkeys in here,\ h…
The monkeys are afraid of the men in space suits.
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which angle is vertical to ∠ced?
$\angle HEF$
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which angles are congruent to each other? ∠dea and ∠ced ∠dea and ∠bec ∠…
$\angle DEA$ and $\angle BEC$
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b. x = ____
\(95^{\circ}\)
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1. label the all the lengths of the net and calculate the surface area.…
1. For the rectangular prism in question 2: \(252\) \(cm^{2}\) 2. For the triangular prism in question 3: \(170\) \(cm^{2}\) 3. For the triangular - based pyramid in question 4: \…
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which angles are adjacent to each other?
$\angle DEC$ and $\angle DEA$
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type in the correct answer. what is the slope of line m?
$-\frac{1}{2}$
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find the distance between the points (5, 3) and (-4, 3). distance: 10.8…
9
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plot 2 points, a and b, which stay in the same place when they are refl…
C. Construct the perpendicular bisector of BC. D. Construct the perpendicular bisector of AB.
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which angles are adjacent to each other? ∠6 and ∠5 ∠10 and ∠1 ∠9 and ∠3…
∠6 and ∠5
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what is an angle that is adjacent to ∠jae?
$\angle EAI$
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which angles are vertical to each other? ∠edc and ∠hdi ∠aeb and ∠hdi ∠d…
$\angle DEA$ and $\angle HDI$
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what is an angle that is adjacent to ∠hdf?
∠FDG
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which angles are adjacent to each other? ∠hai and ∠edf ∠iae and ∠ade ∠i…
$\angle BEC$ and $\angle CED$
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which angles are adjacent to each other? ∠ced and ∠ibj ∠ghb and ∠kal ∠b…
$\angle DEA$ and $\angle AEB$
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which angles are adjacent to each other? ∠cdb and ∠cda ∠adb and ∠cda ∠a…
\(\angle ADB\) and \(\angle CDA\)
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what is an angle that is adjacent to ∠5?
∠4
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which angles are adjacent to each other? ∠3 and ∠2 ∠5 and ∠7 ∠9 and ∠11…
∠3 and ∠2
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1. find the midpoint, distance, and slope given (d(4,2)) and (a(6, - 5)…
Mid - point: $(5,-\frac{3}{2})$ Distance: $\sqrt{53}$ Slope: $-\frac{7}{2}$ Equation of line: $y=-\frac{7}{2}x + 16$
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which angles are vertical to each other? ∠11 and ∠12 ∠11 and ∠9 ∠15 and…
$\angle11$ and $\angle9$
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quiz #3 show all work and include units to receive full credit! circle …
\(-13x^{2}-6x - 6\)
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find x if;· b is between a and c;· ab = x + 5;· bc = 2(x - 3); and· $ov…
$11$
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name the marked angle in 2 different ways. answer attempt 2 out of 2 ∠ …
\(\angle LJK\), \(\angle IJL\)
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in the figure below, l || m. find x. 130° x° 75° x =
\(25\)
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1. is the surface area of figure a greater than, less than, or equal to…
1. The surface area of Figure A is equal to the surface area of Figure B. 2. c. Cubic feet 3. 24 square units 4. 30 square units 5. 22 square units
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in the figure below, l || m. find x. 130° x° 25° x =
\(x = 25\)
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name the marked angle in 2 different ways. answer attempt 1 out of 2
$\angle J$, $\angle MJL$
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name the marked angle in 2 different ways.
\(\angle K\), \(\angle IKJ\)
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f. x = ____
$19.6$
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name the marked angle in 2 different ways.
\(\angle V\), \(\angle XVW\)