Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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answer the following. give exact values for your answers. (a) find an a…
(a) $\frac{5\pi}{3}$ (b) $120^{\circ}$
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proof complete the two - column proof by dragging the missing statement…
1. Given: B is the mid - point of $\overline{AC}$ 2. Midpoint Theorem: $AB = BC$, so $3x + 3=x + 37$ 3. Subtraction Property of Equality: $(3x + 3)-x=(x + 37)-x$, $2x+3 = 37$ 4. S…
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a ramp goes from a doorway of a building to the ground. the end of the …
8°
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how would you create the dilation of this figure with a scale factor of…
Multiply each ordered pair (x and y) by two.
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the diagram shows a triangle. what is the value of t? t = ° submit work…
$10$
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use the circle below to answer the question. line segment df is centime…
15
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to dilate a figure in the coordinate plane, you have to multiply ______…
coordinates
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the movement of the progress bar may be uneven because questions can be…
$\csc W=\frac{\sqrt{97}}{4}$ and $\cot W=\frac{9}{4}$, so the answer is $\csc W=\frac{\sqrt{97}}{4}$ and $\cot W=\frac{9}{4}$ (corresponding to the first - option).
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construct arguments determine whether each statement is always points a…
Sometimes
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point a is the center of the circle. what is the length of ac? line seg…
8
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what are the values of cos y and cot x in the triangle below? cos y = \…
$\cos Y=\frac{3}{\sqrt{34}},\cot X=\frac{5}{3}$ (corresponding to the first option in the multiple - choice list)
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what is the value of v? v = □^{circ}
28
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plot the two points on this function with y - values of -1. what are th…
Approximately - 1 and 5 (values may vary slightly depending on visual estimation from the graph)
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hg = 10 cm. the length of hf is cm.
5
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line segment ad is centimeters.
4
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section 3.5c: quadratic modeling (geometric) & section 3.6a: x - interc…
The width, or shorter side is 7 feet long. The length, or longer side is 8 feet long.
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which one is a line segment?
C.
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the diameter is cm.
10
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parallel perpendicular none of the above intersecting
intersecting
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line segment ab is centimeters.
5
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7. annette has a rectangular - shaped cistern in her basement to contai…
a. (Diagrams are not provided in text - based response. For the cistern, draw a rectangle with length 150 cm and width 100 cm as the base and height 15 cm. For the hot - water tan…
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name the figure ray ef line segment ef ef line ef
line segment EF
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intersecting parallel perpendicular none of the above
perpendicular
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find the value of x in the figure below. (8x - 7)° (3x - 11)° x = ***ju…
18
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in the figure below, ao ⊥ cd, m∠aob = 63°. find the indicated angle mea…
$m\angle AOC = 90^{\circ}$ $m\angle BOD = 63^{\circ}$ $m\angle EOF = 117^{\circ}$
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find the value of y in the figure below. (2y + 23)° (4y + 8)° y = ***ju…
$7.5$
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10) find d if $overline{ab}congoverline{bc}$. 10 b c a
$2.4$
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which one is a ray?
(Without seeing the actual visual options, we can't give a specific letter - but if we assume we could see them, we'd pick the one that fits the ray definition). If we had to gues…
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parallel neither perpendicular
parallel
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parallel perpendicular none of the above intersecting
intersecting
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name the figure line cd line segment dc ray dc line segment cd
line segment CD, line segment DC
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11) find y if $overline{ad}congoverline{bc}$ and $overline{ab}=30$.
$11$
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identify each pair of angles in the first blank as alternate interior, …
m∠2 & m∠10 are alternate exterior angles and should be congruent. m∠6 & m∠12 are alternate exterior angles and should be congruent. m∠1 & m∠5 are corresponding angles and should b…
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determine if there is a proportional relationship between the length of…
Square A area: $1.21$ $cm^{2}$, Square B area: $4.84$ $cm^{2}$, Square C area: $5.76$ $cm^{2}$, Square D area: $9.61$ $cm^{2}$. There is a proportional relationship between the le…
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parallel perpendicular none of the above intersecting
intersecting
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none of the above parallel perpendicular intersecting
B. parallel
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select all the pairs of vertical angles. ∠vwy and ∠xwt ∠utr and ∠vwt ∠v…
$\angle VWY$ and $\angle XWT$, $\angle UTR$ and $\angle VWT$, $\angle VWT$ and $\angle XWY$, $\angle XWT$ and $\angle STW$
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find the radius, in centimetres, of the cylinder with a height of 2.5 m…
$100.0$
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determine if there is a constant of proportionality for the lengths of …
Square A: 2.8, Square B: 2.8, Square C: 2.8, Square D: 2.8
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in the figure, m∠1=(x - 12)° and m∠2=(5x)°. (a) write an equation to fi…
(a) Equation: $x - 12+5x=180$ (b) $m\angle1 = 20^{\circ}$ $m\angle2 = 160^{\circ}$
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which angles are supplementary angles? ∠ihj and ∠feh ∠ihj and ∠ghe ∠ihj…
$\angle IHJ$ and $\angle IHE$
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point, line, ray, or line segment
Line segment
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in the figure below, m∠1 = 39°. find m∠2.
$51$
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intersecting perpendicular parallel none of the above
C. parallel
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3. find the length of the sides of the cube given the volume is 1815.8 …
$12.2\ mm$
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in the figure below, m∠abd = 71° and m∠2 = 46°. find m∠1.
$25$
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determine if there is a constant of proportionality for the lengths of …
| Square | Side lengths | Perimeter | | ---- | ---- | ---- | | A | 6.8 | 27.2 | | B | 7 | 28 | | C | 8 | 32 | | D | 8.6 | 34.4 |
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in the figure below, m∠1 = 95° and m∠2 = 38°. find m∠xwz.
$133$
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what is the length of the box with volume of 432 in³, if the width is 1…
A. 9
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name the figure ray ut line tu line segment tu line ut
line segment TU
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in the figure below, m∠jkl = 134° and m∠1 = 58°. find m∠2.
\(76^{\circ}\)
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chapter 7 practice lesson 5: drilling for understanding 2. find the hei…
9 in
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in the figure below, m∠1 = 37° and m∠2 = 25°. find m∠kjl.
$62$
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2. find the height of the cylinder given the volume is 254 in³. round t…
The height of the cylinder is approximately 9 in. The length of the side of the cube is approximately 12.2 mm.
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which one is a line segement?
(Without seeing the actual line - like figures in options A, B, C, D, we can't give a specific option. But if we assume we can visually check them) The option that shows a straigh…
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determine if there is a proportional relationship between the length of…
There is no proportional relationship between the length of the diagonals and the areas of the squares.
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which one is a line segement?
We need to see the actual visual options (a, b, c, d) to determine which one is a line - segment. Since they are not described in text, we cannot give a specific letter - based an…
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solve for x. 8 x 30 8√2 8√3 8 16
D. 16
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select all the pairs of corresponding angles. ∠nmj and ∠kjh ∠ijh and ∠n…
∠NMJ and ∠KJH, ∠IJH and ∠NMO, ∠IJH and ∠LMO
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parallel neither perpendicular
perpendicular
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determine if there is a proportional relationship between the length of…
There is no proportional relationship between the length of the diagonals and the area of the squares. The areas of squares A, B, C, D are 1.21 $cm^2$, 4.84 $cm^2$, 5.76 $cm^2$, 9…
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name a ray (just the letters)
$\overrightarrow{BC}$ (or $\overrightarrow{BD}$)
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6. what is the relationship among m∠bcd, m∠a, and m∠b in the figure bel…
6. \(40^{\circ}+75^{\circ}=m\angle BCD\) 7. D. \((18,8)\) 8. \(\frac{3}{2}\)
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in the figure below, m∠1 = (x + 6)° and m∠2 = 6x°. find the angle measu…
$m\angle1 = 18^{\circ}$ $m\angle2 = 72^{\circ}$
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point, line, ray, or line segment
Line segment
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rotate (-2, -6) 90° clockwise about the origin. what is the resulting p…
$(-6,2)$
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a line is also a ray.
False
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determine if there is a proportional relationship between the length of…
| Square (cm) | Side lengths (cm) | Area ($cm^{2}$) | | ---- | ---- | ---- | | A | 4.1 | 16.81 | | B | 5.1 | 26.01 | | C | 5.5 | 30.25 | | D | 6 | 36 |
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the angle 60° is shown below in standard position, together with a unit…
$\frac{\sqrt{3}}{3}$
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which one is a ray?
d
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in the figure below, m∠1 = 26° and m∠bad = 55°. find m∠2
$29$
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name zaylen franci 1. what transformation was used to generate figure b…
b. Counterclockwise rotation 90° about the origin 2.
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a 12 - foot pole is supporting a tent and has a rope attached to the to…
C. $\frac{10}{\cos40^{\circ}}\approx13.1$ feet
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in which quadrant is the point (-2, -6)? o i o ii o iii o iv
C. III
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9) find e if $overline{wx}congoverline{xy}.$ w 30 x y e
$30$
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what is the value of x to the nearest hundredth? 14 65° x 12.69 33.13 3…
33.13
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determine if there is a proportional relationship between the length of…
Yes, there is a proportional relationship between the length of the diagonals and the perimeters of the squares. The perimeters of squares A, B, C, and D are 10.8 cm, 13.2 cm, 16 …
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in the figure, m∠1=(2x)° and m∠2=(x + 93)°. (a) write an equation to fi…
(a) Equation: $2x+(x + 93)=180$ (b) $m\angle1 = 58^{\circ}$ $m\angle2 = 122^{\circ}$
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what lines are perpendicular line sr & line su line pn and line pq line…
line SR & line SU, line SP & line PQ
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name an angle (just the letters)
∠ABE (Other valid answers could be ∠EBD, ∠DBC, ∠ABC, etc.)
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what angle is supplemental to 80°? 100° 90° 80° 20°
A. \(100^{\circ}\)
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shirley is drawing triangles that have the same area. the base of each …
12 and 7
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in the figure, m∠1=(x + 12)° and m∠2=(5x)°. (a) write an equation to fi…
(a) Equation: $(x + 12)+5x=180$ (b) $m\angle1 = 40^{\circ}$ $m\angle2 = 140^{\circ}$
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name the figure line kl line lk ray lk ray kl
ray LK
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the volume of a pyramid varies jointly with the base area of the pyrami…
35
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the midpoint of a (11, 12) and b (x, y) is (2, 17). what is b? (13,29) …
C. (-7, 22)
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angle c is an acute angle with cos c = 5/9 and cot c = 5/√56. what are …
$\sec C=\frac{9}{5},\tan C=\frac{\sqrt{56}}{5}$
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which one is a line?
d
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what are the values of sin x and tan y in the triangle below? sin x = 3…
$\sin X=\frac{3}{\sqrt{34}},\tan Y=\frac{5}{3}$ (corresponding to the last option in the multiple - choice list)
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6. liana just purchased a new set of pencil crayons for an art class. e…
$14.9$ $cm^{3}$ ### 6. b. The pencils are arranged in two rows of six. The length of the box will be equal to the length of a pencil, $l = 19.0$ cm. The width of the box will be t…
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3) find x if m is a midpoint. a 3x - 1 m x + 7 b
$x = 4$
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use the figure to complete each part. (a) name the sides of ∠2. (b) wri…
(a) $\overrightarrow{QR}$, $\overrightarrow{QS}$ (b) ∠RQT, ∠TQR (c) Q
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in the figure below, m∠abd = 92°, and m∠2 is 8° more than m∠1. find m∠1.
$42$
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draw a line representing the ise\ and a line representing the un\ of th…
Rise: - 6, Run: 12, Simplified ratio of rise to run: $-\frac{1}{2}$
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segment $ab$ measures 3 centimeters. point $o$ is the center of dilatio…
0.6 cm 3s cm
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the end of a hose was resting on the ground, pointing up an angle. sal …
3.2 feet
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3. cereal boxes come in various sizes. for example, the family - sized …
The capacity of the family - sized box is $9108$ $cm^3$ and the capacity of the regular - sized box is $5708.075$ $cm^3$.
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the perimeter of the rectangle is select choice units. the area of the …
# Explicación: ## Paso 1: Encontrar longitudes de lados Supongamos que los vértices del rectángulo son \(A(x_1,y_1)\), \(B(x_2,y_2)\), \(C(x_3,y_3)\) y \(D(x_4,y_4)\). Usando la d…
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c. a hexagonal prism that has a height of 5 inches and a base with dime…
225 cubic inches
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3. why was dr. linus pauling unpopular in some circles? dr. pauling was…
Dr. Pauling was unpopular due to his opinion on nuclear weapons testing.