Geometría
Triángulos, círculos, geometría analítica y demostraciones.
-
point p(5, 3) is rotated 90° counterclockwise around the origin and the…
$(-3,5)$
-
plot the location of points g, h, and i after a 180° rotation around th…
| Point | Coordinates | |--|--| | $G'$ | $(-x_G,-y_G)$ | | $H'$ | $(-x_H,-y_H)$ | | $I'$ | $(-x_I,-y_I)$ |
-
resolución de problemas 2 partiendo desde el punto a, en la dirección d…
# Explanation: ## Paso1: Identificar la distancia total en el primer problema La distancia recorrida desde el punto A y volviendo al punto A es la suma de los lados del triángulo.…
-
consider △xyz. what are the ratios of sine, cosine, and tangent for ang…
$\sin(Y)=\frac{XZ}{XY};\cos(Y)=\frac{YZ}{XY};\tan(Y)=\frac{XZ}{YZ}$
-
point (x, y) is reflected over the y - axis, and then translated 5 unit…
$(-x + 5,y - 2)$
-
problem 1 what is the volume of this cube?
$8\text{ cm}^3$
-
point h(5, 3) is translated 4 units down and 3 units to the left to get…
$(2, - 1)$
-
determine the coordinates of each point after the shaded pre - image is…
| Pre - Image Coordinates | Image Coordinates | | ---- | ---- | | $(-2,0)$ | $(-2,0)$ | | $(-2,2)$ | $(-2,-2)$ | | $(-1,3)$ | $(-1,-3)$ | | $(1,3)$ | $(1,-3)$ | | $(0,1)$ | $(0,-1…
-
what are the input and output values for determining the sine of 60°? i…
Input: $60^{\circ}$; output: $\frac{\sqrt{3}}{2}$
-
points f, and g are plotted on the coordinate plane. plot the coordinat…
Since the original coordinates of $F$ and $G$ are not given, the general form of the answers are: $F'$: $(x_{F}, - y_{F})$ (where $(x_{F},y_{F})$ are the original coordinates of $…
-
write the coordinates of the vertices after a reflection over the y - a…
\(P'(9,3)\), \(Q'(2,3)\), \(R'(9,9)\)
-
write the coordinates of the vertices after a reflection over the x - a…
$P(1,10)$, $Q(1,2)$, $R(7,2)$, $S(7,10)$
-
create similar right triangles by changing the scale factor of the righ…
$\frac{1}{2}$; $\frac{1}{2}$; $\frac{1}{2}$
-
points d and e are plotted on the coordinate plane. plot the coordinate…
| Point | Coordinates | |--|--| | $D'$ | $(-x_1,y_1)$ | | $E'$ | $(-x_2,y_2)$ |
-
quadrilateral wxyz is graphed on the coordinate plane. what will be the…
Since the original coordinates of the vertices of the quadrilateral are not given in the text, the general answer for the coordinates of the vertices of the rotated quadrilateral …
-
what will be the coordinates of wxyz after wxyz is rotated 180 degrees …
The coordinates of $W'$, $X'$, $Y'$, $Z'$ are obtained by changing the signs of the $x$ and $y$ coordinates of $W$, $X$, $Y$, $Z$ respectively. That is, if $W=(x_W,y_W)$, then $W'…
-
solve the inequality. j + 1.7 < -2.1 inequality: blank graph the soluti…
Inequality: $j < - 3.8$ The graph of the solution is an open - circle at $-3.8$ and an arrow pointing to the left.
-
in the figure below, m∠jkm = 109°, m∠lkm = 70°, and (overline{kn}) bise…
$74$
-
the diagram shows figures related about point p. where will d be if it …
C. J
-
solve the inequality. r + 4 < 5 the solution is . graph the solution.
$r < 1$; For the graph, you would use an open - circle at 1 (since 1 is not included in the solution) and an arrow pointing to the left on the number line.
-
a stamp collector just bought some new stamps to add to his collection.…
If the measured Canada stamp and the one in the plan have the same size and shape: is; If they have different size or shape: is not
-
given the figure below, find the values of x and z. (5x - 5)° z° (8x - …
$x = 13$ $z = 120$
-
given the figure below, find the values of x and z. (5x - 5)° (8x - 44)…
$x = 13$, $z = 120$
-
a star is shown above point q, with three additional stars r, s, and t.…
A. Figure R
-
c here are some points. what are the coordinates of g, h, and i after a…
The coordinates of \(G'\) are \((3,0)\), the coordinates of \(H'\) are \((0,3)\) and the coordinates of \(I'\) are \((-2,-2)\)
-
americans and the different groups of europeans is that the native amer…
- The Triangle Trade: It was a three - way trade route between North America, Europe, and Central America for the exchange of produce and resources. - What was being exchanged in …
-
find the perimeter of polygon abcde. write your answer as a whole numbe…
$20.5$
-
in the figure below, m∠3 = 81°. find m∠1, m∠2, and m∠4.
$m\angle1 = 81^{\circ}$ $m\angle2 = 99^{\circ}$ $m\angle4 = 99^{\circ}$
-
find the perimeter of quadrilateral bcde. write your answer as a whole …
$22.0$
-
on the coordinate plane, the segment from a(-4, -3) to b(6, -3) forms o…
$(-1,-8),(-1,2)$
-
b. here are some points. what are the coordinates of d, e, and f after …
$D'(2,3), E'(4,0), F'(-2,-2)$
-
on the coordinate plane, the segment from d(-6, 3) to e(2, 3) forms one…
$(5,-4),(1,10),(-6,10)$
-
find the area of the rectangle with vertices h(-7, 4), i(-2, 5), j(0, -…
52
-
which triangle has the greatest perimeter? △efg with vertices e(-7, 1),…
$\triangle EFG$ has the greatest perimeter.
-
complete the table to show the name of each side of the right triangle …
| ∠B | ∠A | |----|----| | Opposite: b | Opposite: a | | Adjacent: a | Adjacent: b | | Hypotenuse: c | Hypotenuse: c |
-
find the area of right triangle def. write your answer as a whole numbe…
24
-
on the coordinate plane, the segment from x(-2, 2) to y(8, 2) forms one…
$(0,6),(7,-2),(8,6)$
-
what is known about θ, the angle between two nonzero vectors u and v, u…
(a) $\theta=\frac{\pi}{2}$, $\mathbf{u}$ and $\mathbf{v}$ are orthogonal (b) $0\leq\theta<\frac{\pi}{2}$ (c) $\frac{\pi}{2}<\theta\leq\pi$
-
reflect the figure over the line x = 1. plot all of the points of the r…
Para cada punto $(x,y)$ del triángulo original, graficar el punto $(2 - x,y)$. Sin conocer los puntos exactos del triángulo original no se pueden dar valores numéricos específicos…
-
the area of a rectangle is represented by the expression 6x^3y^5. which…
$2x^{3}y$ and $3y^{4}$; $2xy^{2}$ and $3x^{2}y^{3}$
-
2. mr. goddard is going to place a layer of mulch in his garden. his bl…
$112.5$ square feet
-
find the value of x so that the area of the rectangle is equal to the a…
$7$
-
b. here are some points. what are the coordinates of d, e, and f after …
$D'=(2,3)$, $E'=(-5,0)$, $F'=(-2,-2)$
-
find the value of x so that the two rectangles have the same area.
$6$
-
what are the lengths of the other two sides of the triangle? ac = 5 and…
AC = 5 and BC = 5$\sqrt{3}$
-
how to build a fire pit 1. create the base. to ensure you get the prefe…
C. including images for each step of the process D. adding a label to indicate the depth of the fire pit F. including labels for all materials mentioned
-
1. a triangle is shown below. if the image is dilated by a scale factor…
1. 42 m 2. 112.5 square feet
-
1 a science museum has 73 exhibits. what is 73 rounded to the nearest h…
1. 0 2. C. 350 and 351; Hans might have wrongly thought 349 rounds to 400 instead of 300 while 350 does round to 400. 3. 286: Yes, 342: Yes, 297 (if considering nearest - hundred …
-
q. you are laying out a new retail store and need to arrange some displ…
80
-
solve. 7 answer the questions below to round 377 to the nearest hundred…
7a. 300, 400 7b. 350 7c. Greater than 7d. Round up 7e. 400 8. Phoenix and Las Vegas: 300 Los Angeles and San Francisco: 400 9. 575 10. 1000
-
q. youre repairing a large rectangular aquarium. the final step is to c…
B. 28 square meters
-
example there are 127 crayons in a bin. what is 127 rounded to the near…
1. 600 and 700 2. 650 3. 700 4. 700 5. 700 6. 600
-
the hypotenuse of a 45 - 45 - 90 triangle measures 128 cm. what is the …
$64\sqrt{2}\text{ cm}$
-
suppose m is the mid - point of xy. if my = 5x + 12 and xy = 58, find t…
$x = 3.4$, $MY = 29$
-
the hypotenuse of a 45 - 45 - 90° triangle measures 18 cm. what is the …
$9\sqrt{2}\text{ cm}$
-
find the projection of u onto v. u = <-7, -4> v = <-8, -3> proj_v u = w…
$\text{proj}_{\mathbf{v}}\mathbf{u}=\langle-\frac{544}{73},-\frac{204}{73} angle$; The other orthogonal vector is $\langle\frac{33}{73},-\frac{88}{73} angle$
-
you might have heard the saying “dont wear white after labor day” at le…
c. to debunk an outdated fashion rule
-
triangle mno is an equilateral triangle with sides measuring 16√3 units…
24 units
-
which angle number represents the linear pair of ∠wyt?
6
-
2. calculate the area of the figure. then, determine what happens to th…
The original area of the rectangle is 105 in². When the length of each side is doubled, the new area is 420 in², and the area of the rectangle is multiplied by 4.
-
solve the inequality. 4x < 14 solution: graph the solution.
$x < 3.5$ To graph the solution: On the number - line, we use an open circle at 3.5 (because the inequality is strict, i.e., $x$ is less than but not equal to 3.5) and draw an arr…
-
6. exploration an object has volume 36 cubic inches. a box has side len…
6a. The smallest number of objects is 1. 6b. The largest number of objects is 4. 7a. One possible set of side - lengths: length = 10 inches, width = 6 inches, height = 2 inches. 7…
-
the graph shows pentagons pqrst and pqrst. which of the following trans…
A translation 12 units to the left and 3 units down.
-
consider triangle pqr. what is the length of side qr? 8 units 8√3 units…
16 units
-
a wall in marias bedroom is in the shape of a trapezoid. the wall can b…
13 ft
-
example robert always tells his friend how many points he earns on his …
1. 90 2. 150 and 160 3. 160
-
the height of trapezoid vwxz is 8√3 units. the upper base, vw, measures…
18 units
-
consider triangle ghj. what is the length of line segment hj? 5 units 5…
$5\sqrt{3}$ units
-
a person is standing exactly 36 ft from a telephone pole. there is a 30…
\(12\sqrt{3}\text{ ft}\)
-
23. what is the number of square yards in a field that measures 30 yds.…
1230 square yards
-
consider triangle qrs. the legs each have a length of 10 units. what is…
$10\sqrt{2}$ units
-
consider triangle def. the legs have a length of 36 units. what is the …
36\(\sqrt{2}\) units
-
suppose m is the mid - point of ab. if am = 6x - 3 and ab = 54, find th…
$x = 5$, $AM=27$
-
find the measure of the third exterior angle in this triangle. 120° 155…
85°
-
find the circumference (in cm) of the circle. use $pi=\frac{22}{7}$
132
-
isaiah sketches a model of a skateboard ramp. the model has two surface…
$4\sqrt{2}$ in.
-
find the area (in m²) of the circle. use π = 22/7. 28 m
$2464$
-
problems 4 - 5: here is a table representing a pattern. 4. circle the e…
B. \(y = 60\cdot(\frac{1}{2})^x\)
-
19. write the perimeter of the rectangle as a simplified expression. 20…
19. The perimeter of the rectangle is $16x-4$. 20. The perimeter of the triangle is $10y + 1$.
-
consider that △abc is an equilateral triangle, and ad is a perpendicula…
\((AD)^{2}=(2x)^{2}-x^{2}\), \(AD=\sqrt{3}x\)
-
find the circumference (in cm) of the circle. use $piapprox\frac{22}{7}…
132
-
find the area (in cm²) of the figure.
$49$
-
from the side view, a gymnastics mat forms a right triangle with other …
B. \(5\sqrt{3}\) ft
-
the roof of a house is the shape of an isosceles right triangle as show…
$5\sqrt{2}\text{ ft}$
-
vii the law of diminishing returns and supply the law of diminishing re…
1. La parte de la gráfica desde el segundo trabajador (punto (2,16)) hasta el cuarto trabajador (punto (4,23)), donde la curva del producto total tiene una pendiente decreciente. …
-
8) what is a scaled copy?
A scaled copy is a figure with the same shape as the original, where all lengths are proportional to the original's lengths.
-
a man is standing near the washington monument. at a 60° angle of eleva…
The distance from the man's feet to the base of the monument is \(185\sqrt{3}\) feet. The segment representing the monument's height is the longest segment in the triangle.
-
suppose m is the mid - point of fg. if fm = 6x - 9 and mg = 4x + 3, fin…
x = 6, FG = 54
-
a baseball field is in the shape of a square. the distance between each…
\(90\sqrt{2}\text{ ft}\)
-
4. exploration a sugar cube has a volume of about 1 cubic centimeter. a…
The box would need to have a volume of 1 cubic meter (or 1,000,000 cubic centimeters or 1000 cubic decimeters) to hold 1,000,000 sugar - cubes.
-
triangle abc is an equilateral triangle. segment ad measures 18 inches.…
AC = 12√3 in., DC = 6√3 in.
-
the hypotenuse of a 45 - 45 - 90° triangle measures 24 inches. what is …
$12\sqrt{2}\text{ in.}$
-
what are the angle measures in triangle abc? m∠a = 60°, m∠b = 30°, m∠c …
$m\angle A = 90^{\circ},m\angle B = 60^{\circ},m\angle C = 30^{\circ}$
-
a sugar cube has a volume of about 1 cubic centimeter. about how large …
The box would need to have a volume of about 1 cubic meter.
-
each leg of a 45 - 45 - 90° triangle measures 14 cm. what is the length…
$14\sqrt{2}$ cm
-
the units of the subway map below are in miles. suppose the routes betw…
5.4
-
x and graph the solution on the number line below. x + 6 ≥ 16
The solution is $x\geq10$. On a number - line, you would draw a closed circle at 10 (because the inequality includes equality) and shade to the right of 10.
-
3. find the area and the perimeter of ▱wxyz. w (-1,1) x (4,1) y (2,-2) …
For parallelogram WXYZ: Perimeter $P = 2(5+\sqrt{13})$, Area $A = 15$. For lion - sanctuary: Perimeter and area depend on counting grid units and converting to feet. (Need more de…
-
what is the volume of the figure? explain or show your reasoning.
12 cubic units
-
math homework: polygon b is a scaled copy of polygon a. what is the val…
14