Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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find the value of each trigonometric ratio to the nearest ten - thousan…
11) $0.8$ 12) $0.6$ 13) $\approx1.3333$ 14) $1.05$ 15) $\approx0.3429$ 16) $0.75$ 17) $\approx0.3243$ 18) $0.6$
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how are they related? here are two formulas for the volume of a cylinde…
The two formulas are related because in the general volume formula \(V = B\cdot h\) (for prisms and cylinder - like solids), when the base \(B\) is a circle (for a cylinder), \(B=…
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try it! 1. what rigid motion or composition of rigid motions shows that…
El movimiento rígido que mapea \( \triangle UVW \) a \( \triangle XYZ \) es una **rotación** (por ejemplo, 180°) seguida de una **traslación** (o una composición de rotación y tra…
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michael and jacob are standing on two docks that are 20 miles apart. th…
Michael's dock would be closer because the angle opposite is smaller.
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a. circle a or b. 1. mr. singh ______________ the store at 6 p.m. a. cl…
A. 1. b. closes 2. b. don’t cook 3. a. get up 4. b. don’t have B. 1. don’t 2. doesn’t
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ihgf ≅ qnop, what is m∠g? □°
\(86\)
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triangle abc is shown in the diagram. the lengths of the sides are in t…
m∠C < m∠B < m∠A
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fghi ≅ rstq. what is qr? □ centimeters
\(48\)
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ordering angles of a triangle what is the order of the angles from larg…
Angle X, Angle W, Angle Y
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drag vertices b and c of the triangle. then, conjecture about the relat…
largest smallest
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given: ( mangle aec = mangle bed ) prove: ( mangle 2 = mangle 3 ) step …
The reason for step 2 should be the **Subtraction Property of Equality** (not Multiplication and Division Properties). The correct statement for step 2 is \(m\angle AEC−m\angle1=m…
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these figures are congruent. what is ge? □ inches
\(71\)
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△ghi ≅ △pqr. what is ig? □ inches
\(37\)
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these figures are congruent. what is m∠t? □°
\(65\)
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15. find the sine, cosine, and tangent angle of a. simplest form fracti…
$\sin A = \frac{3}{5}$, $\cos A = \frac{4}{5}$, $\tan A = \frac{3}{4}$
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these figures are congruent. what is no? millimeters submit
\(50\)
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△pqr ≅ △tuv. what is m∠p?
\(34\)
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these figures are congruent. what is m∠p?
\(153\)
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calculate calculate the volume of each cylinder. enter your answers in …
Left Cylinder: \(100.48\) cubic units, Right Cylinder: \(100.48\) cubic units
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use the given information to prove that ( mangle bad = mangle eag ). gi…
\(m\angle BAD = m\angle EAG\)
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what is the height, x, of the equilateral triangle? image of equilatera…
A. \(7\sqrt{3}\) inches
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score: 1/8 answered: 1/6 question 2 note: the picture is not drawn to s…
distance from \( A = 375.24\) mi \( h = 374.73\) mi
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select the correct answer. rounded to the nearest tenth, what is the ar…
C. 35.1 square feet
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type the correct answer in the box. use numerals instead of words. a ri…
\(10.9\)
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a parallelogram has sides of lengths 4 and 9, and one angle is 41°. wha…
The length of the smaller diagonal is \(6.532\) units. The length of the longer diagonal is \(12.302\) units.
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select the correct answer. the shortest side of a right triangle measur…
A. 6
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question 1 a parallelogram has sides of lengths 7 and 6, and one angle …
length of the smaller diagonal: \(3.920\) units length of the longer diagonal: \(12.435\) units
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an observatory is 150 feet high. when a person is standing in the obser…
B. 322 feet
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what is the value of x in the triangle? 10 10 x a. 10√2 b. 10 c. 20 d. …
A. \(10\sqrt{2}\)
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for what value of x is cos(x) = sin(14°), where 0° < x < 90°? a. 28° b.…
B. \(76^{\circ}\)
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nancy is planting cucumbers in a small garden. before planting, nancy a…
B. 49
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
\(BC:7\sqrt{2}\), \(BD:7\)
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select the correct answer. what is the value of x in the triangle? tria…
D. \(5\sqrt{3}\)
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a boat is anchored in the water. the anchor lies at point a. at low tid…
C. 27.8 ft
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in the given figure, δabc is a right triangle. what is true about δabc?…
C. \(\sin(A)=\cos(C)\) and \(\cos(A)=\sin(C)\)
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type the correct answer in each box. use numerals instead of words. ava…
The distance from Maria to Ava is \(15.7\) feet. The distance from Lucas to Maria is \(10.1\) feet. The angle formed at Maria's position measures \(50\) degrees.
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6 select the correct answer. what is the value of x? triangle with righ…
D. 10.6
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select the correct answer. tobias wants to add a wooden trim to a trian…
B. \(14.2\) ft
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type the correct answer in the box. what trigonometric expression can b…
\(\frac{12}{\tan(25)}\)
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a conical circus tent has a 20 ft central pole that supports it. the sl…
The ratio is $0.77$ and the operation is the inverse cosine function.
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a conical circus tent has a 20 ft central pole that supports it. the sl…
The ratio is $\frac{20}{26}$ (or $\frac{10}{13}$), and the operation is the inverse cosine ($\cos^{-1}$).
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while you watch a 2.1 watch the video. check (√) the mustaches and bear…
## Part B 1. The competition takes place every \(\boldsymbol{\text{year}}\) (assuming the video shows annual competition). 2. John has a \(\boldsymbol{\text{brown}}\) (or \(\bolds…
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before you watch look at the pictures below. guess the names of the fac…
1. The competition takes place every \boxed{year} (so the correct option is "year", so circle "year").
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in the diagram, point d divides line segment ab in the ratio of 5:3. if…
\( C=(2,-1) \)
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use the given information to prove that ( mangle qps = mangle tpv ). gi…
Since \(m\angle QPS=m\angle2 + m\angle4\) and \(m\angle TPV=m\angle2 + m\angle4\), we have \(m\angle QPS = m\angle TPV\)
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type the correct answer in each box. if necessary, round your answers t…
Perímetro: \(32.44\) unidades, Área: \(30\) unidades cuadradas
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question 5/9 a 4 b 3 c e d the figure above, abcde represents a sign wh…
\(17\)
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in the figure below, \\(\\overline{az}\\) and \\(\\overline{bz}\\) are …
\(30\) ft
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in the figure below, \\(\\overline{ef}\\) is one of the sides of a comm…
\(165\) ft
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the figure below shows a map of smiths compound for fish farming. the u…
\(53\) m
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which of the following transformations does not result in a congruent f…
A. dilation
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type the correct answer in each box. use numerals instead of words. if …
\(y =-\frac{5}{2}x+\frac{31}{2}\)
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the figure below shows a part of a framework of a structure. the line s…
\(5\) ft
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in the figure below, \\( \\overline{em} \\) is the width of a river. th…
The width of the river \(EM\) is \(24\) ft.
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use the given information to prove that m∠1 = m∠3. given: m∠aec = m∠bed…
\(m\angle1 = m\angle3\) is proved as shown above.
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which of the following statements best describes similar polygons? a tw…
C. Two polygons are similar if all the corresponding angles are congruent and all the corresponding sides are proportional.
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the figure below shows a section of a farm whose owner plans to divide …
\(14\) m
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in the figure below, the line segment \\( \\overline{rq} \\) represents…
The length of the side to be fenced (\(QR\)) is \(12\) yards.
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write a description of the rule (x,y) ==> (x+10, y+8) translation 10 un…
A. translation 10 units to the right and 8 units up
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1. find the missing side length. show all work to explain your reasonin…
\(x = 13\)
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review the graph. what is the approximate direction angle of the vector…
\(207^{\circ}\)
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angles w and x are complementary. determine the degree measure of ∠w if…
\(60.2^{\circ}\)
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can a triangle be formed with side lengths 3, 9, 17? explain. no, becau…
No, because \(3 + 9<17\)
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a right triangle has a leg length of \\(\\sqrt{7}\\) and a hypotenuse l…
3
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what is the sum of all interior angles of a 33 - sided regular polygon?…
5,580°
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each column of the matrix $a = \\begin{bmatrix} 1 & 6 & 6 & 1 \\\\ 1 & …
\((4,4),(24,4),(24,20),(4,20)\) (First option)
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a decagon has 10 sides. one angle of a regular decagon measures (8w + 1…
\(w = 16\)
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determine which set of side measurements could be used to form a right …
\(6,8,10\)
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one interior angle of a triangle is 43°, and the other two angles are c…
\(2x + 43=180\)
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use the pythagorean theorem to help find the perimeter of the triangle.
The perimeter of the triangle is \(7+\sqrt{29}\approx12.39\) units.
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in triangle xyz, m∠y = 38.25° and m∠z = 74.3°. determine the measure of…
$112.55^{\circ}$
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you have five activities planned. use the table below to determine the …
| Activity | Perimeter | Area | |--|--|--| | Slip N' Slide | \(19\) yards | \(22\) square - yards | | Water Balloons | \(5\frac{1}{6}\) yards | \(1\frac{11}{24}\) square - yards |…
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in triangle xyz, m∠z = (5m − 16)° and the exterior angle to ∠z measures…
\(m = 23\)
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a regular polygon is shown, with one of its angle measures labeled a. i…
\(z = 15\)
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angles x and y are supplementary. angle x measures 132.54°, and angle y…
\(47.46^{\circ}\)
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a cargo ship left port a and is headed across the ocean to shipping por…
components: \(\langle28,46 angle\), magnitude: \(53.85\) (the fourth option)
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2. in the diagram shown, it is given that \\(\\overline{qn}\\) bisects …
1. \( \triangle MQN \) and \( \triangle QPN \)
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2. in the diagram shown, it is given that \\(\\overline{qn}\\) bisects …
2. \( \triangle MRQ \) and \( \triangle PRQ \)
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activity 4: a little bit farther now here’s a triangle abc. am = 6, mb …
\(\frac{AM}{MB} = \frac{AN}{NC} = 2\), so sides AB and AC are divided proportionally.
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let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. which …
\(\sqrt{6^{2}+11^{2}-2(6)(11)\cos(165^{\circ})}\) (the third option)
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review the graph which statement accurately describes the vector shown?…
magnitude of \(\sqrt{61}\) and direction angle equal to approximately \(50^{\circ}\)
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let |u| = 4 at an angle of 210° and |v| = 9 at an angle of 315°, and w …
\(|w| = 10.8;\theta = 156.1^{\circ}\) (the third option)
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the transformation $t = \\begin{bmatrix} 0 & -1 \\\\ 1 & 0 \\end{bmatri…
rotate \(90^{\circ}\) counterclockwise about the origin
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let u =⟨3,4⟩. what is 3u? ○ ⟨6,7⟩ ○ ⟨6,12⟩ ○ ⟨9,7⟩ ○ ⟨9,12⟩
\(\langle9,12 angle\) (the fourth option)
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the vertices of a triangle are given in the columns of the matrix $t = …
\((0,0),(-4,0),(0, - 5)\) (First option)
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the vertices of a rectangle are given in the columns of the matrix $r =…
\((0,0),(18,0),(18, - 18),(0,-18)\) (corresponding to the second option in the multiple - choice list)
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air traffic controllers are watching two planes on radar to ensure ther…
components \(\langle-16,-12 angle\), distance between planes: about \(500\) miles.
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draw a venn diagram with two circles showing the given relationship bet…
A. The diagram correctly shows the two circles overlap because some people with pilot's licenses are mathematicians.
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let \\( \\mathbf{w} = \\overrightarrow{or} \\) where \\( o(-5, 6) \\) a…
\(\langle1.8,-1.6 angle\) (corresponding to the third option)
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the graph below shows the transformation from triangle 1 to triangle 2.…
reflect across the \(y\) - axis, rotate \(90^{\circ}\) counterclockwise about the origin.
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the diagram below shows rectangle abcd. which points are in the image o…
\(A'(3,9)\), \(B'(12,9)\), \(C'(12,3)\), \(D'(3,3)\)
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the city map project a city planner has come to your office to ask for …
This problem is solved using concepts from Algebra (Mathematics). The solutions to individual parts are as follows (for example): - 4. Equation of Distributive Blvd: \(y=\frac{2}{…
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which angle of rotation is determined by the matrix below?\ \\(\\begin{…
\(60^{\circ}\)
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triangle abc is shown below. image of triangle abc on coordinate plane …
\((-4,2)\)
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justine reflects a vector v across the y - axis. simonne reflects a vec…
\(\begin{bmatrix}4\\4\end{bmatrix}\)
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the transformation $t = \\begin{bmatrix} 0 & -1 \\\\ -1 & 0 \\end{bmatr…
reflect across the line \(y = -x\)
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draw a venn diagram with two circles showing the given relationship bet…
D.
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what is a venn diagram? how do we show that one set is a subset of anot…
A. A Venn diagram uses circles to represent sets. Subsets are represented by drawing one circle inside another circle. Disjoint sets are represented by two separated circles that …
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triangle abc is shown below. which point is the coordinate of the image…
\((4,2)\)
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5. triangle 1 is a scale drawing of triangle 2, as shown below. triangl…
28