幾何
三角形、圓、解析幾何與證明題。
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using the graph, determine the coordinates of the x - intercepts of the…
(-3,0) and (1,0)
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a frame shop charges according to both the amount of framing needed to …
a. The area of the picture is $912$ in$^2$ and the perimeter is $182$ in. b. The frame has to do with perimeter.
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part b what are the exact side lengths of the triangle shown? 21 cm
$a=\frac{21}{2}$ $c=\frac{21\sqrt{3}}{2}$
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what are the exact side lengths of the triangle shown? 4 in. 45° c 45° …
$b = 4$ $c = 4\sqrt{2}$
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the government gives public funds to low - performing schools for new c…
as in compliance with the clause because the government's action was for a secular purpose, did not advance a particular religion, and was unentangled
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what is the sum the exterior angles of a 73 sided polygon?
360
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the table below indicates the variations in circumference of a circle w…
We need to plot the points where the x - coordinate is the diameter and the y - coordinate is the circumference. The points to be plotted are (1, 3.141), (2, 6.253), (3, 9.425), (…
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using the graph, determine the coordinates of the zeros of the parabola.
(-5,0), (0,0)
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reflect triangle def over the y - axis, then translate the image 5 unit…
The order of the two transformations (reflection over the $y - axis$ and translation 5 units down) does not matter. The final positions of the vertices of the triangle are the sam…
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circle even or odd. then write the equation. use cubes to help. 1. 11 o…
1. odd, 5 + 6 = 11 2. even, 9 + 9 = 18
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using the graph, determine the coordinates of the y - intercept of the …
(0, - 8)
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imperial measures evaluation 1. measure the diameter of each coin to th…
1. (Measurements need to be done physically, no answer provided here) 2. a) 10 in. b) 10 ft c) 1 ft 3. (Answers depend on actual arrow positions on the ruler, no specific answers …
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how are ∠1 and ∠2 related? complete the equation. m∠1 + m∠2 =
180
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m∠1 = 137°. find m∠2. m∠2 =
$43$
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write an equation to show how m∠1 and m∠2 are related.
$m\angle1 + m\angle2=180^{\circ}$
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xy is a translation of xy. write the translation rule.
$(x,y)\to(x + 10,y - 10)$
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without using a protractor, can you tell which angle is congruent to ∠1…
∠4
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a. given : $overline{pr}$ bisects $angle apb$, $angle apb$ is a right -…
$m\angle RPB = 45^{\circ}$
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practice 1. measure the following lines to the nearest 1/16\ of an inch…
For part 1, measurements depend on actual ruler use. For part 2: a) Draw a line $\frac{44}{16}$ inches long. b) Draw a line $\frac{26}{16}$ inches long. c) Draw a line $\frac{7}{1…
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polygon v is a scaled copy of polygon u. what is the value of w?
$6.5$
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quadrilateral h is a scaled copy of quadrilateral g. what is the value …
36
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pentagon k is a scaled copy of pentagon j. what scale factor takes pent…
$\frac{3}{4}$
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24. the angle of elevation from l to k measures 55°. if jk = 26, find j…
# Explanation: ## Step1: Usar la función trigonométrica tangente En el triángulo rectángulo JKL, $\tan(\angle L)=\frac{JK}{JL}$. Sabemos que $\angle L = 55^{\circ}$ y $JK = 26$. E…
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quadrilateral q is a scaled copy of quadrilateral p. what is the value …
$6.5$
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triangle x is a scaled copy of triangle w. what is the value of y?
12
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23. a triangle has side lengths of 6, 8, and 9. what type of triangle i…
D. acute
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trapezoid w is a scaled copy of trapezoid v. what is the value of u?
8
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22 △def is a right triangle. if fe = 8 and de = 6, find df. 100 48 10 28
# Explicación: ## Paso1: Aplicar el teorema de Pitágoras En un triángulo rectángulo, $DF^{2}=DE^{2}+FE^{2}$. ## Paso2: Sustituir los valores dados Dado que $FE = 8$ y $DE = 6$, en…
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reflect triangle def over the x - axis, then translate the image 2 unit…
The order of the two transformations (reflection over the \(x\) - axis and translation 2 units left) does not matter. The final positions of the vertices of the triangle are the s…
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quadrilateral p is a scaled copy of quadrilateral n. what scale factor …
$1.25$
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hexagon b is a scaled copy of hexagon a. hexagon a hexagon b what scale…
$1.25$
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21. what is the tangent ratio for ∠f? (\frac{4}{3}) (\frac{5}{3}) (\fra…
# Explicación: ## Paso1: Recordar la definición de tangente. La tangente de un ángulo en un triángulo rectángulo es la razón entre el cateto opuesto y el cateto adyacente al ángul…
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polygon l is a scaled copy of polygon j. what scale factor takes polygo…
0.8
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lines cv and rg intersect at point n are shown. which of the following …
∠CNG and ∠RNV form a linear pair ∠RNC and ∠VNG are vertical angles m∠RNV + m∠GNV=m∠RNC + m∠GNC m∠RNC + m∠CNG+m∠GNV = 180°
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quadrilateral s is a scaled copy of quadrilateral r. what is the value …
9
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triangle q is a scaled copy of triangle p. 9 6 12 12 16 triangle p tria…
8
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polygon q is a scaled copy of polygon p. what is the value of r?
2
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lines hx and sp intersect line rt as shown. which of the following stat…
- $\angle RVX$ and $\angle SWT$ are alternate interior angles. - $\angle SWV$ and $\angle TWP$ are alternate exterior angles. - $\angle BVR$ and $\angle SWV$ are corresponding ang…
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20. a child lies on the ground and looks up at the top of a 14 - ft tre…
$63^{\circ}$
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19. in △stu, su = 18 and tu = 13. find m∠t to the nearest tenth of a de…
# Explicación: ## Paso 1: Identificar la función trigonométrica En un triángulo rectángulo $\triangle STU$ con ángulo recto en $U$, $\tan(T)=\frac{SU}{TU}$. ## Paso 2: Sustituir v…
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114 mastering ohios american government standards 3 circle each blank b…
3. political equality; Republican 4. D. They supported settlements of former plantation lands. 5. A. Most Republicans supported the Civil War Amendments.
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18. which is the angle of depression from a to b? ∠4 ∠3 ∠2 ∠1
∠1
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given: ∠abc is a right angle. ∠dbc is a straight angle. prove: ∠abc≅∠ab…
definition of congruent angles
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polygon k is a scaled copy of polygon i. what scale factor takes polygo…
1.4
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quadrilateral m is a scaled copy of quadrilateral l. what scale factor …
$\frac{5}{4}$
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triangle t is a scaled copy of triangle s. what scale factor takes tria…
$2$
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rectangle r is a scaled copy of rectangle q. what is the value of x?
18
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polygon r is a scaled copy of polygon q. what is the value of x?
8
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euclidean geometry statements reasons trv = 60°; 1. given ∠trs=(4x)° ∠t…
angle addition postulate
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trapezoid e is a scaled copy of trapezoid d. what scale factor takes tr…
$1.2$
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angle rst is a right angle. angle rsu has a measure of 25°. what is the…
$65^{\circ}$
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polygon j is a scaled copy of polygon i. what is the value of k?
27
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17. in △klm, lm = 11 and m∠k = 45. find kl. leave your answer in simple…
# Explicación: ## Paso 1: Identificar la relación trigonométrica En un triángulo rectángulo, $\sin\theta=\frac{\text{cateto opuesto}}{\text{hipotenusa}}$. Aquí, $\theta = 45^{\cir…
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16. in △def, de = 15 and m∠f = 32. find ef to the nearest tenth. 7.9 8.…
# Explicación: ## Paso 1: Identificar la relación trigonométrica En un triángulo rectángulo, $\tan\theta=\frac{\text{cateto opuesto}}{\text{cateto adyacente}}$. Aquí, $\theta = \a…
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15. what is the tangent ratio for ∠e? ○ $\frac{4}{3}$ ○ $\frac{5}{4}$ ○…
$\frac{3}{4}$
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14. find the value of x. round your answer to the nearest tenth. sin 33…
# Explicación: ## Paso1: Re - organizar la ecuación Partimos de $\sin33^{\circ}=\frac{7}{x}$, y despejamos $x$. Multiplicando ambos lados por $x$ y luego dividiendo por $\sin33^{\…
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13. △pqr is a right triangle. if rq = 8, what is pq? 16 8√3 4√3 4
$PQ = 16$
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12. △xyz is a right triangle. if xy = 4, what is yz? 4√3 8 16 8√3
# Explicación: ## Paso 1: Identificar la relación trigonométrica En un triángulo rectángulo, usamos la tangente. $\tan\theta=\frac{\text{cateto opuesto}}{\text{cateto adyacente}}$…
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write ratios to describe the pictures. 1. circles to shapes 2. triangle…
1. $\frac{1}{3}$ 2. $\frac{6}{5}$ 3. $\frac{5}{4}$ 4. $\frac{2}{3}$ 5. $\frac{3}{8}$ 6. $\frac{3}{5}$ 7. $\frac{4}{12}$ 8. $\frac{2}{10}$ 9. $\frac{6}{12}$ 10. $\frac{6}{8}$ 11. $…
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11. which is the angle of depression from b to c? ∠2 ∠4 ∠3 ∠1
∠3
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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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10. a triangle has sides of lengths 8, 15, and 17. is it a right triang…
yes; $8^{2}+15^{2}=17^{2}$
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4. if m∠3 = 54°, find each measure. a. m∠1= b. m∠2= c. m∠4= d. m∠5= e. …
a. $m\angle1 = 36^{\circ}$ b. $m\angle2 = 90^{\circ}$ c. $m\angle4 = 36^{\circ}$ d. $m\angle5 = 90^{\circ}$ e. $m\angle6 = 54^{\circ}$ f. $m\angle7 = 126^{\circ}$ g. $m\angle8 = 5…
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9. find m∠f to the nearest degree. 31 60 53 37
53
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8. find m∠e to the nearest degree. 24 10 37 53
37
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7. the area of a square garden is 50 m². how long is the diagonal? 5√8 …
10 m
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jen drew a scale drawing of a summer camp. the scale she used was 2 cen…
9
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if fg = 2 units, fi = 7 units, and hi = 1 unit, what is gh? 5 units 6 u…
4 units
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in the diagram, what is the measure of ∠wrs? 37.5° 5° 7.5° 25°
$25^{\circ}$
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in the diagram, what is m∠vsr? m∠vsr =
$100$
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6. a grid shows the positions of a subway stop and your house. the subw…
14
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s of euclidean geometry. two parallel lines are intersected by a third …
They are supplementary.
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trent made a scale drawing of the elementary school. the schoolyard, wh…
5
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5. in △def, fe = 12 and m∠d = 62. find de to the nearest tenth. 2.6 6.4…
# Explicación paso a paso: ## Paso 1: Identificar la relación trigonométrica En el triángulo rectángulo $\triangle DEF$, con ángulo $\angle D = 62^{\circ}$ y lado opuesto a $\angl…
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match each term with its variable. height volume area circumference dia…
height - \(h\) Volume - \(V\) Area - \(A\) Circumference - \(C\) diameter - \(d\) radius - \(r\)
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4. the angle of depression from d to f measures 40°. if ef = 14 yd, fin…
11.7 yd
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shane made a scale drawing of a hotel. a room in the hotel, which is 18…
6
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stanley measured a county park and made a scale drawing. the picnic are…
4
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kirk drew a scale drawing of a petting zoo. the scale he used was 8 cen…
15
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katie made a scale drawing of a house. the scale she used was 1 inch : …
8
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is it a triangle you have 8 cards in this activity. 0 are sorted correc…
Possible Side Lengths for Triangle: 42, 38, 5; 9, 11, 3; 5, 5, 5 Not Possible Side Lengths for Triangle: 2, 12, 15; 3, 3, 6; 37, 11, 20
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tori made a scale drawing of an italian restaurant. the restaurants kit…
8
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levi measured the auditorium and made a scale drawing. he used the scal…
46
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darell made a scale drawing of a shopping center. the parking lot is 4 …
10
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3. in △abc, ab = 7 and ac = 17. find m∠b to the nearest degree. 38 87 6…
# Explicación: ## Paso 1: Identificar la relación trigonométrica En un triángulo rectángulo $\triangle ABC$ con ángulo recto en $A$, $\tan B=\frac{AC}{AB}$. ## Paso 2: Sustituir v…
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find the measure of angle csh.
$43^{\circ}$
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given m||n, find the value of x.
20
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jack drew a scale drawing of a game room. the scale of the drawing was …
2
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question 4 1. given the vectors \\(\\vec{a}=6\\hat{i} - 4\\hat{j}\\) an…
The magnitude of $\vec{A}+\vec{B}$ is approximately $11.94$ and the direction angle is approximately $22.9^{\circ}$. In polar form, it is $(11.94,22.9^{\circ})$
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2. what is the cosine ratio for ∠f? ○ 5/3 ○ 5/4 ○ 3/5 ○ 4/5
$\frac{3}{5}$
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given m||n, find the value of x. (6x - 3)° (7x - 24)°
\(21\)
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1. △def is a right triangle. if fe = 24 and de = 7, find df. 168 625 62…
# Explicación: ## Paso1: Aplicar el teorema de Pitágoras En un triángulo rectángulo, $DF^{2}=DE^{2}+FE^{2}$. ## Paso2: Sustituir los valores dados Como $FE = 24$ y $DE = 7$, enton…
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way to go! you got all the correct answers! durham is 11 miles from cha…
18, 24, 30
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given m||n, find the value of x. answer attempt 1 out of 3 x =
\(11\)
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given m||n, find the value of x. answer attempt 2 out of 3 x=
\(x = 33\)
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fill in the correct formula for each measurement. area of a circle: a =…
Area of a circle: $A=\pi r^{2}$ Circumference of a circle (given diameter): $C = \pi d$ Constant of proportionality: $k=\pi$ (in circle - related context, in general $k$ is non - …
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given the side lengths of 6 and 16, determine the range of the perimete…
The range of the perimeter is \(32\lt P\lt44\).
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determine the range of side ab.
$5\lt x\lt14$
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the lengths of 2 sides of a triangle are 6 and 13. which of the followi…
34
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geometry find the measurement of the exterior angle. in the image below…
Exterior angle of triangle: 135° a) 150 b) 70 c) 30 d) 120 e) 98 f) 110 g) 60 h) 40 i) 1000 j) 4 $w = 72^{\circ}$, $x = 47^{\circ}$, $y = 47^{\circ}$, $z = 72^{\circ}$ First balan…