几何
三角形、圆、解析几何与证明题。
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for 2 and 3, find x. 2. a b c 5 2x + 6 x + 10 3. a b c 9x + 7 - 3x + 20…
2. $x=-1$ 3. $x = 2$ 4. $x = 4$, $TU=8$, $UB=13$, $TB = 21$ 5. $x = 2$, $TU=7$, $UB=3$, $TB = 10$
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2. $x > - 1$ 4. $x leq - 6$
The number - line for $x > - 1$ has an open circle at $-1$ and shading to the right. The number - line for $x\leq - 6$ has a closed circle at $-6$ and shading to the left.
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1. $x < 3$ 3. $xgeq4$
For \(x < 3\), an open circle at 3 and shade left. For \(x\geq4\), a closed circle at 4 and shade right.
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solving for side lengths of right triangles determining missing compone…
$HI = 23.3$, $GH = 18.9$
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answer: 1 out of 5 which the figure on the right corresponds to segment…
BE
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begins, at 8:16 am. answer attempt 1 out of 5 which side in the figure …
2
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answer 1 out of 5 which the figure on the right corresponds to segment …
QS
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solving for side lengths of right triangles applying trigonometric rati…
$2.7$
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solving for side lengths of right triangles identifying trigonometric r…
$\cos(70^{\circ})=\frac{LN}{8}$, $\tan(70^{\circ})=\frac{LN}{MN}$
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the town of oak manor measures 3.8 miles by 4.2 miles. solve for the to…
\(15.96\ mi^{2}\)
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12. a pyramid has a square base with an area of 169 ft². what is the pe…
52 ft
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given the triangle below, what is the length of the hypotenuse? 2 cm 4 …
D. $\sqrt{20}$ cm
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given $vec{g}=langle3, - 5 angle$ and $vec{h}=langle - 4,6 angle$, find…
A. $\langle - 4,3 angle$
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what is the area of a right triangle 6 centimeters high with a base of …
B. 6 square cm
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find perimeter by measuring lengths mastery check
24
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find perimeter by measuring lengths mastery check choose the perimeter.
18 centimeters
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find perimeter by measuring lengths mastery check find the perimeter.
18 cm
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find perimeter by measuring lengths mastery check
26
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choose the perimeter.
20 cm
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solving for side lengths of right triangles determining trigonometric r…
\(\sin(E)=\frac{4}{5}\), \(\cos(F)=\frac{4}{5}\), \(\tan(D)=\frac{3}{4}\)
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two students describe the sides of right triangle abc in relation to ∠b…
Iliana is correct; \(BC\) is opposite \(\angle B\) and \(AC\) is adjacent to \(\angle B\).
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onometric ratios given right triangle r - qp, which represents the valu…
$\frac{RQ}{PQ}$
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a rancher has a roll of fencing to enclose a rectangular area. the tabl…
$2400$
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a rancher has a roll of fencing to enclose a rectangular area. the tabl…
$A(w)=-w^{2}+100w$
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fall 2023 geometry b wwva trigonometric ratios which trigonometric rati…
$\tan(C)=\sqrt{3}$, $\sin(C)=\frac{\sqrt{3}}{2}$ are correct. So the correct answers are the first and the third options.
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trigonometric ratios which trigonometric ratios are correct for triangl…
$\tan(C)=\sqrt{3}$, $\sin(C)=\frac{\sqrt{3}}{2}$
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all 2025 geometry b wwva trigonometric ratios given right triangle xyz,…
a is adjacent, b is opposite, c is the hypotenuse (none of the given options are correct based on the correct definitions. If we assume a correction in the options, the correct de…
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fall 2025 geometry b wwva trigonometric ratios given right triangle mnl…
$\frac{4}{5}$
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trigonometric ratios. given right triangle mno, which represents the va…
$\frac{MN}{MO}$
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trigonometric ratios given right triangle jkm, which correctly describe…
a is the hypotenuse, b is adjacent, c is opposite. So the correct option is: a is the hypotenuse, b is adjacent, c is opposite (not exactly one of the provided options as they are…
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trigonometric ratios which trigonometric ratios are correct for triangl…
The correct answers are \(\sin(D)=\frac{24}{25}\) and \(\tan(D)=\frac{24}{7}\). So the selected options are the ones with \(\sin(D)=\frac{24}{25}\) and \(\tan(D)=\frac{24}{7}\) (a…
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trigonometric ratios julian describes an angle in the triangle using th…
$\angle G$
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fall 2025 geometry b wwva trigonometric ratios what is the length of th…
4 units
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complete the statements to explain why the value of the sine ratio for …
denominator that is larger than the numerator
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complete the statements to explain why the value of the sine ratio for …
In a right triangle, sine is the ratio of the length of the leg opposite an angle to the length of the hypotenuse. Since the hypotenuse is the side opposite the largest angle, it …
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complete the statements to explain why the value of the sine ratio for …
length of the leg opposite an angle to the length of the hypotenuse
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applying similarity of right triangles which triangle is similar to △ab…
The triangles $\triangle IJK$ and $\triangle XYZ$ are similar to $\triangle ABC$.
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analyzing cofunctions consider △abc. what are the angles that make the …
$\sin(A)=\cos(B)$; $\sin(B)=\cos(A)$
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analyzing cofunctions consider △abc what are the angles that make the t…
$A$
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writing trigonometric ratios. use the diagram of triangle xyz to answer…
Length of side \(XY\): 10 Value of \(\sin(X)\): \(\frac{4}{5}\) Value of \(\cos(X)\): \(\frac{3}{5}\) Value of \(\tan(X)\): \(\frac{4}{3}\)
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fall 2025 geometry b wwva trigonometric ratios. what additional informa…
The length of $BC$ is needed because it is the side opposite $\angle A$.
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trigonometric ratios deriving a tangent ratio for special triangles tan…
$\tan(45^{\circ}) = 1$
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deriving a tangent ratio for special triangles which statements are tru…
LM = x√2 is a correct statement. (We need the full list of options to choose three correct answers, but based on the work so far we know this one is correct. If we assume the othe…
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trigonometric ratios determining a tangent ratio what is the value of t…
$\sqrt{3}$
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use the diagram and side lengths of triangle rst to determine the angle…
$\sin(T)=\frac{12}{13}$, $\tan(T)=\frac{5}{12}$
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fall 2025 geometry b wwva trigonometric ratios what are the values of t…
$\sin(L)=\frac{4}{5}$, $\cos(L)=\frac{3}{5}$, $\tan(L)=\frac{4}{3}$
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025 geometry b wwva trigonometric ratios identify the triangle that con…
The triangle with two $45^{\circ}$ angles (the first triangle in the image).
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recall that perimeter measures the distance around a plane - figure, an…
Perimeter of rectangle ($2L + 2W$) = $12$ Area of rectangle ($LW$) = $6.44$
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verifying characteristics of a right - angle triangle. consider △lnm. w…
The side opposite $\angle L$ is $NM$, The hypotenuse is $LN$
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which trigonometric ratios are correct for triangle xyz? choose three c…
$\tan(Y)=\frac{8}{15}$, $\sin(Y)=\frac{8}{17}$, $\cos(Y)=\frac{15}{17}$ (The first and third options are correct. Assuming the second option has a typo and should be $\cos(Y)=\fra…
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etermining a trigonometric ratio what is the value of sin (a)?
$\frac{3}{5}$
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determining trigonometric ratios of similar triangles consider △abc ~ △…
The value of $\tan(A)$ is $\frac{3}{4}$, the value of $\tan(X)$ is $\frac{3}{4}$, and $\tan(A)=\tan(X)$ because corresponding angles of similar triangles are equal and the tangent…
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zing cofunctions consider △lmn. m∠l + m∠m = 90 sin (l)=cos(m) sin (m)=
$\cos(L)$
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nalyzing cofunctions consider △lmn. m∠l + m∠m = 90 sin (l) = sin (m) = …
\(\sin(L)=\cos(M)\)
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analyzing cofunctions consider △lmn. m∠l + m∠m = sin (l) = sin (m) =
$m\angle L + m\angle M=90$ $\sin(L)$: (no correct option among given numbers as $\sin(42^{\circ}) eq80,90,180$) $\sin(M)$: (no correct option among given numbers as $\sin(48^{\ci…
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what is the directrix of the parabola y² = 4ax?
\(x = - a\)
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6. what is the perpendicular distance from the point p (2, 3) to the li…
$2$
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5. what is the length of the tangent drawn from p(6, 8) to a circle cen…
$\sqrt{21}$
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adjustments for the table saw include: blade height angle/ miter settin…
All of the above (Blade height, Angle/ Miter Settings, Fence Adjustment, Special Setups)
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2. the mid - point of $overline{fg}$ is $m(2, - 1)$. one endpoint is f$…
Endpoint $G$ is $(9,-6)$ and the distance of $\overline{FG}$ is $2\sqrt{74}$
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find the point that divides the line - segment joining (-2,3) and (4,9)…
The point is $(2,7)$
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the gradient of a vertical line is.
undefined
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table saw safety test adjustments for the table saw include: □ blade he…
All of the above (Blade height, Angle/Miter Settings, Fence Adjustment, Special Setups)
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2. if the equation of a circle is (x^{2}+y^{2}-6x + 4y+9 = 0), what is …
$(3,-2)$
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a tree casts a shadow of 268 feet. if the angle of elevation is 47°, wh…
$393.0$
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note: triangle may not be drawn to scale. suppose a = 8 and b = 5. find…
$\sin(A)=\frac{8\sqrt{89}}{89}\approx0.85$ $\cos(A)=\frac{5\sqrt{89}}{89}\approx0.53$ $\tan(A)=1.6$ $\sec(A)=\frac{\sqrt{89}}{5}\approx1.88$ $\csc(A)=\frac{\sqrt{89}}{8}\approx1.1…
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evaluate the trig functions below without using technology. enter an ex…
sin(-13π/6)=-1/2 cos(-10π/3)=-1/2 tan(7π/6)=√3/3 csc(-23π/6)=2 sec(5π/4)=-√2 cot(17π/6)=-√3
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1. what is the distance between the points (4, 4) and (7, 3)? (round to…
C. 3.2
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4. find the distance between the two points using the pythagorean theor…
C. \(\sqrt{26}\)
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2. use the pythagorean theorem to find the distance between the two poi…
5.8
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1. given the endpoints of a line segment at a(2,3) and b(8,7), what is …
A. (5,5)
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2. quelle est la mesure, en degré décimal, des angles suivants ? a) 4,2…
a) Approximately $245.23^{\circ}$ b) Approximately $14.32^{\circ}$ c) Approximately $- 80.5014^{\circ}$
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find the slope and the y - intercept of the line. x = - 2 select the co…
B. The slope is undefined. B. There is no y - intercept.
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2.3 art criticism and art history fig. 1 © marion boddy - evans viewpoi…
Fig. 1: The artist's use of pose is dynamic because the figure is gesturing, suggesting movement. Fig. 2: The artist's use of subject - matter is traditional because it depicts a …
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2.3 art criticism and art history fig. 1 from circle to sphere to apple…
Fig. 1: The artist's use of form is realistic because the apple is depicted with a sense of 3D volume and natural shape. Fig. 2: The artist's use of lighting is soft and natural b…
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writing trigonometric ratios consider △xyz. what are the ratios of sine…
$\sin(Y)=\frac{XZ}{XY};\cos(Y)=\frac{YZ}{XY};\tan(Y)=\frac{XZ}{YZ}$
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given quadrilateral $pqrs$ in the diagram, find a line of reflection th…
$y = - 2.5$
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a quadrilateral has vertices (0, 0), (-8, 0), (0, -6) and (-8, -6). com…
\(x = - 4\)
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the polygon shown has a line of reflection that will cause the figure t…
$x = - 3$
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lesson 8 symmetry back to intro page the polygon shown has a line of re…
$x = - 3$
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dius of each circle. 3) radius: ____________ circumference: 25.12 in
4 in
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determine the degree of rotation that would turn the figure onto itself…
360
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which of the following summarizes the reflections that carry a parallel…
B. A parallelogram does not have any lines of reflection.
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what is the smallest degree measure for a regular nonagon to rotate ont…
A. \(40^{\circ}\)
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2.3 art criticism and art history color words think about your overall …
Fig 1: The artist's use of natural colors is harmonious because they create a serene atmosphere. Fig 2: The artist's use of the arrangement in composition is balanced because it g…
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exercices 5 1. quelle est la mesure, en radians des angles suivants ? a…
1. - a) Approximately $0.4094$ rad - b) Approximately $-0.7450$ rad - c) Approximately $4.7156$ rad 2. - a) Approximately $245.22^{\circ}$ - b) Approximately $14.32^{\circ}$ - c) …
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7 v= _________ cubic units
19
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6 v= ________ cubic meters
270
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8 v= ________ cubic inches 18 in 3 in 8 in 8 in 4 in
512
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4. if you graph the information in problem 3, it looks like this: 5. th…
About 14.81 ounces.
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3 the diagram was constructed with straightedge and compass tools. poin…
$AB$
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which angle is adjacent to ∠bdc?
∠BDA
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9 v= ________ cubic feet 8 ft. 6 ft. 4 ft.
192
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which angle is supplementary to ∠adb?
∠ADC
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6 v= ________ cubic meters 9 v= ________ cubic feet
270
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what is an angle that is adjacent to ∠1?
∠2
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what is an angle that is adjacent to ∠1?
∠2
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which angles are vertical to each other? ∠1 and ∠9 ∠3 and ∠9 ∠1 and ∠3 …
∠1 and ∠3
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which angles are complementary to each other? ∠5 and ∠2 ∠5 and ∠3 ∠2 an…
∠3 and ∠4
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which angles are adjacent to each other? ∠7 and ∠1 ∠10 and ∠7 ∠9 and ∠1…
∠9 and ∠10