Geometría
Triángulos, círculos, geometría analítica y demostraciones.
-
what is an equation of the line that passes through the points (-4, -7)…
The equation of the line is \( y=\frac{5}{2}x + 3 \) (or in standard form \( 5x-2y=-6 \))
-
look at the above painting. which of the following elements of the pain…
c. The height of the man and woman as compared to all the other people.
-
solve the inequality and graph the solution. ( y geq 8 + 4 ) to draw a …
The solution to the inequality (assuming it's \(y\geq8\div4\)) is \(y\geq2\). The graph has a closed circle at \(2\) and a ray pointing to the right from \(2\) on the number line.
-
given the function below, fill in the table of values and use the table…
The table is already filled correctly with \( y = -5 \) for all given \( x \)-values. To graph, plot the points \((-3, -5)\), \((-2, -5)\), \((-1, -5)\), \((0, -5)\), \((1, -5)\),…
-
solve the inequality and graph the solution. ( s < 4 cdot 2 ) to draw a…
The solution to the inequality is \(s < 8\). To graph it, place an open circle at \(8\) on the number line and draw an arrow pointing to the left.
-
7. m = 8. m = 9. m = 10. m =
s: 7. \(m = 2\) 8. \(m=-\frac{1}{2}\) 9. \(m\) is undefined 10. \(m = 3\)
-
triangle qrs is dilated according to the rule $d_{o,2}(x,y)$. what is t…
\( \text{D}_{O,2}(x,y) = (2x, 2y) \), Side \( \text{Q}'\text{S}' \) lies on a line with a slope of -1, The distance from \( \text{Q}' \) to the origin is twice the distance from \…
-
solve the inequality and graph the solution. a > 7 - 2 to draw a ray, p…
The solution to the inequality is \(a > 5\). To graph it, place an open circle at \(5\) on the number line and draw an arrow pointing to the right.
-
solve the inequality and graph the solution. ( g geq 2 + 2 ) to draw a …
The solution to the inequality is \(p\geq4\). To graph it, place a closed circle at \(4\) on the number line and draw an arrow to the right.
-
write the equation of the line in fully simplified slope-intercept form.
\(y = -\frac{6}{5}x - 3\)
-
write a proportion that can be used to find the value of x. the figure …
\(\boldsymbol{\frac{2}{x}=\frac{3}{4}}\) (or equivalent proportions like \(\frac{3}{4}=\frac{2}{x}\), \(\frac{x}{2}=\frac{4}{3}\), etc.)
-
triangle stv was dilated with the origin as the center of dilation to f…
\(\frac{2}{3}\) (corresponding to the option \(\frac{2}{3}\))
-
which of these triangle pairs can be mapped to each other using both a …
The third triangle pair (the one with both triangles sharing vertex \( C \))
-
determine the type of triangle that is drawn below. (image of triangle …
Right triangle (since it has a \(90^\circ\) angle at \(S\))
-
a certain television is advertised as a 38-inch tv (the diagonal length…
\(24.6\) inches
-
x-intercept: ( , ) y-intercept: ( , )
x-intercept: (25, 0) y-intercept: (0, -55) Wait, but maybe the correct x-intercept is (25, 0) and y-intercept is (0, -55). Alternatively, maybe the x-intercept is (25, 0) and y-in…
-
a 40 foot ladder is set against the side of a house so that it reaches …
\(17.4\) feet
-
an altitude is drawn from the vertex of an isosceles triangle, forming …
70.8 inches
-
use pythagorean theorem to find the missing side of a right triangle $a…
For the first triangle (sides 8, 15, x): \(x = 17\) For the second triangle (sides 7, 18, x): \(x = 5\sqrt{11}\) (or approximately \(16.58\))
-
the area of a rectangle is 135 square units. its length measures 9 unit…
\( 17.5 \)
-
if you place a 24-foot ladder against the top of a 20-foot building, ho…
\(13.3\) feet
-
which expression represents the total width of the house? 3 + 12, 12 + …
\(3 + 12 + 25\) (the last option, \(3 + 12 + 25\))
-
which expression represents the area of the tiny house? 30 ÷ 20, 30 + 2…
\( 30 \cdot 20 \) (the option with \( 30 \cdot 20 \))
-
solve the inequality and graph the solution. u < 8 ÷ 8 to draw a ray, p…
The solution to the inequality \(u < 8\div8\) is \(u < 1\). The graph has an open circle at \(1\) and an arrow pointing to the left along the number line.
-
△rst is dilated with the rule ( d_{t, 1/3} (x, y) ), where the center o…
1 unit left, 2 units up
-
write all of the complex numbers that are graphed in the complex plane …
A: \(-2 + 3i\) B: \(-1 - i\) C: \(4 - 4i\) D: \(5+0i\) (or \(5\))
-
two rigid transformations are used to map △abc to △xyz. the first is a …
a rotation about point \( A \)
-
finding the slope of a line 7 cycles minutes
The slope of the line is \(\frac{25}{14}\) (or approximately \(1.79\))
-
find the value of x to the nearest tenth.
\(x\approx2.3\)
-
use pythagorean theorem to prove a triangle is a right triangle or not.…
- Triangle PDE (with sides 5, 12, 13): Right Triangle. - Triangle with sides 6, 9, 11: Not a Right Triangle.
-
solve the inequality and graph the solution. j ≤ 6 + 1 to draw a ray, p…
The solution to the inequality \(j\leq6 + 1\) is \(j\leq7\). To graph it, plot a closed circle at \(7\) on the number line and draw an arrow to the left.
-
two rigid transformations are used to map △hjk to △lmn. the first is a …
a rotation about point \(K\)
-
9. chaque côté du cube a mesure 4 cm. chaque côté du cube b mesure le t…
A. la même que
-
solve for x. leave your answer in simplest radical form.
\( \sqrt{21} \)
-
use pythagorean theorem to prove a triangle is a right triangle or not.…
First triangle (FDE) is a right triangle; second triangle is not a right triangle. Wait, but based on the image, first triangle has hypotenuse 15. Let's recalculate: First triangl…
-
△rst is dilated with the rule $d_{t,1/3}(x, y)$, where the center of di…
First blank (x - distance): 3; Second blank (y - distance): 6 (but dropdown has 0,2,3,4 - maybe a mistake); Coordinates of R': \((2,0)\) (Note: There seems to be a discrepancy bet…
-
reasoning conditional statements and negations complete the following. …
Check the boxes for: - It is not the case that I am in geometry class. - I am not in geometry class. ### Part (b)
-
which rigid transformation would map △aqr to △akp? options: a reflectio…
a rotation about point A
-
solve for ( x ) to the nearest tenth.
\( \boxed{3.9} \)
-
in the diagram, $overline{kl} cong overline{nr}$ and $overline{jl} cong…
\(\angle L\cong\angle R\)
-
which composition of similarity transformations would map polygon abdc …
a dilation with a scale factor greater than 1 and then a translation
-
5.) the length of a rectangle is 6 inches more than its width. the area…
The width of the rectangle is 7 inches and the length is 13 inches.
-
name: date: 12/16 giant christmas word search directions: find and circ…
The answer depends on the specific word - search task. If we consider the completed parts, the circled words are "Reindeer", "Noel", "Wish", "Bough" (and others as per the puzzle'…
-
a cylinder has a height of 5 centimeters. its volume is 251.2 cubic cen…
4.00
-
if the hypontenuse is 35 and one leg is 21, what is the size of the oth…
28 (the option with 28, so the checkbox next to 28 should be selected)
-
if the legs of a right triangle are 12 cm and 5 cm, then which of the f…
13 cm
-
which graph has figures that can undergo a similarity transformation to…
The Second Graph (the middle - left among the four, or the second one in the sequence)
-
given: △dfe is isosceles with base fe; $overline{fb} cong overline{ec}$…
- First blank: Given - Second blank: \( DE \) - Third blank: \( \angle F \) and \( \angle E \) - Fourth blank: \( \triangle DFB \) and \( \triangle DEC \)
-
use the given information to prove that f || g. given: ∠2 ≅ ∠6 prove: f…
To prove \( f \parallel g \) given \( \angle 2 \cong \angle 6 \): 1. **Identify the angle relationship**: $\angle 2$ and $\angle 6$ are corresponding angles (formed by the transve…
-
question noah wants to lay carpeting over a certain area of his apartme…
Expression: \(12^2 - 8^2\) (or \(144 - 64\)) square feet. Evaluated: 80 square feet.
-
identifying the reason in proving congruent triangles given: rt || sp, …
vertical angles theorem (the option labeled "vertical angles theorem")
-
a cylinder has a radius of 2 yards. its volume is 25.12 cubic yards. wh…
2.00
-
quadrilateral qrst is dilated and translated to form similar figure qrs…
$\frac{1}{3}$
-
determine which of the lines, if any, are parallel. explain. line a pas…
Line a and Line c are parallel. The slopes are \( m_a = 1 \), \( m_b = 2 \), \( m_c = 1 \), so \( m_a = m_c \) (equal slopes imply parallel lines).
-
triangle congruence: sas\ given: c is the midpoint of \\(\\overline{bd}…
- For Statement 2 (Reason): definition of midpoint - For Statement 5 (Statement): \( \angle BCA \cong \angle DCA \)
-
what is the distance from the origin to point p graphed on the complex …
\(\sqrt{29}\) (corresponding to the option with \(\sqrt{29}\))
-
determining if triangles are congruent can $\\triangle tsr$ and $\\tria…
The option with "yes, because along with the given information on the diagram, \(\overline{SR}\cong\overline{RS}\) by the reflexive property" (the first option among the four give…
-
give a pair of alternate exterior angles, a pair of corresponding angle…
(a) Alternate exterior angles: \( \angle 1 \) and \( \angle 8 \) (or \( \angle 3 \) and \( \angle 6 \)) (b) Corresponding angles: \( \angle 2 \) and \( \angle 6 \) (or \( \angle 1…
-
given △abc, use a dilation with the center at the origin to make a simi…
D. (6, -3)
-
the frame of a bridge is constructed of triangles as shown. what additi…
- \(ST = 20\) ft, \(UV = 14\) ft, and \(m\angle UST=98^{\circ}\) - \(UV = 14\) ft and \(m\angle TUV = 45^{\circ}\)
-
try again your answer is incorrect. (a): your answer is incorrect. (c):…
(a) Alternate interior angles: $\angle 3$ y $\angle 6$ (o $\angle 2$ y $\angle 7$) (b) Corresponding angles: $\angle 1$ y $\angle 4$ (o $\angle 5$ y $\angle 8$, $\angle 2$ y $\ang…
-
graph the line with the equation $y = \\frac{1}{6}x + 5$.
To graph \(y=\frac{1}{6}x + 5\), plot \((0,5)\) (y - intercept), then use the slope \(\frac{1}{6}\) to find another point (e.g., \((6,6)\)) and draw a line through these points.
-
9 is △vwx ~ △yzx? explain why or why not.
Yes, $\triangle VWX \sim \triangle YZX$ by the AA (Angle - Angle) similarity criterion. We have $\angle VXW=\angle YXZ$ (vertical angles) and $\angle ZYX = \angle WVX$ (alternate …
-
determining if triangles are congruent consider △wxy and △bcd with ∠x ≅…
no, because the corresponding congruent angles listed are not the included angles
-
analyzing a dilation derek tried to dilate the isosceles trapezoid abdc…
- The slope of \( EG \) is \( \boldsymbol{2} \). - The polygons are not dilations of each other because the slopes (or scale factor) are inconsistent (e.g., slope of \( AC \) is 4…
-
determining a combination of rigid transformations how can △abc be mapp…
First, translate vertex \( A \) to vertex \( X \). Next, rotate \( \triangle ABC \) to align the sides and angles.
-
the figure shown is a triangle with three unknown angles. to find out i…
\( m\angle4 \), \( m\angle5 \)
-
analyzing a dilation derek tried to dilate the isosceles trapezoid abdc…
The slope of \( AC \) is \( 4 \). The slope of \( EG \) is \( 4 \) (since dilation preserves slope, so slopes of corresponding sides are equal). (Note: For the first blank, select…
-
surface area formative show all calculations a) calculate the surface a…
The total surface area of the composite solid is \( \boldsymbol{512.96 \, \text{square meters}} \) (assuming the overlapping face area is \( 3.5\times4.2 \), the answer may vary s…
-
identifying additional information needed to prove that △def ≅ △dgf by …
The option with \( \angle DFE\cong\angle DFG \) (the bottom - right option in the given set of options)
-
the figure shown is a triangle with three unknown angles. to find out i…
\( m\angle5 \)
-
which statement is true? a the slope of \\( \\overline{ef} \\) is equal…
A. The slope of \(\overline{EF}\) is equal to the slope of \(\overline{GH}\) because the ratio of the vertical change to the horizontal change between points \(E\) and \(F\) is eq…
-
give a pair of alternate interior angles, a pair of alternate exterior …
(a) Alternate interior angles: $\angle 3$ and $\angle 5$ (or $\angle 4$ and $\angle 6$) (b) Alternate exterior angles: $\angle 1$ and $\angle 8$ (or $\angle 2$ and $\angle 7$) (c)…
-
7 triangle abc with angle at a: 37°, angle at c: (13x - 5)° triangle de…
The value of \(x\) is \(\boldsymbol{6}\)
-
40 to find out if the sum of the three interior angle measures of any t…
m∠4
-
identifying rigid transformations which rigid transformations would map…
a reflection only, a rotation only, a rotation and a reflection
-
find the volume of a cone with a base diameter of 12 m and a height of …
\( 84\pi \) metros cúbicos (o \( 84\pi \, m^3 \))
-
triangle xyz was dilated using the rule $d_{o,0.25} (x, y) \\to (0.25x,…
A. \((-8, -4)\)
-
line is defined as a ______ a. a geometric shape that is open and moves…
A. a geometric shape that is open and moves from one point to another.
-
find the volume of a cone with a base diameter of 9 m and a height of 6…
\( \frac{81}{2}\pi \) metros cúbicos (o \( 40.5\pi \, \text{m}^3 \))
-
the rule for the dilation of quadrilateral qrst to the image qrst is $d…
(0, 1)
-
first, write an expression for the sum of the angle measures of the tri…
\( m\angle 1 + m\angle 2 + m\angle 3 \)
-
a company makes wax candles in the shape of a solid sphere. suppose eac…
25
-
write the coordinates of the vertices after a reflection over the x-axi…
The coordinates of the vertices after reflection over the x - axis are \( N(-1, 0) \), \( M(5, 0) \), \( K(-1, 9) \), and \( L(5, 9) \). (Note: If the original coordinates were mi…
-
which of the following is not a visual element of art? a. color \t\t\t\…
D. angle
-
amelia has 2 cube - shaped flowerpots for her garden. in order to buy p…
432
-
10. draw a second line on the graph in order to demonstrate a system of…
Problem 10 Equation: \(y=-x + 2\) (or other parallel line with slope - 1, different y - intercept) Problem 11 Equation: \(y = 2x\) (or other line with slope ≠1)
-
a manufacturer makes decorative globes out of silver in the shape of a …
\( \$84.78 \)
-
write an expression to represent the volume of 2 flowerpots with side l…
\( 2 \cdot 6^3 \) (or \( 2\times6^3 \))
-
7 triangle abc with angle at a: 37°, angle at c: (13x - 5)° triangle de…
\(x = 6\)
-
find the lateral surface area and surface area of a cone with a base di…
(a) lateral surface area: \( 75.36 \text{ in}^2 \) (b) surface area: \( 125.6 \text{ in}^2 \)
-
amelia builds a cube - shaped flowerpot that is 5 inches on each side. …
s: - Expression for Amelia's flowerpot volume: \( 5 \cdot 5 \cdot 5 \) - Volume of Amelia's flowerpot: \( 125 \) \( \text{in.}^3 \) - Expression to find cube volume: \( s \cdot s …
-
whether the two triangles are similar. 6
The two triangles are similar.
-
which expression represents the volume of amelias flowerpot? 5·5·5 when…
125
-
when labeling the legs does it matter which one is labled as \a\ and wh…
A. No.
-
6. solve the system of equations by graphing. $y = -x + 7$ $5x + 6y = 1…
s: - For problem 6: The solution of the system \(\begin{cases}y=-x + 7\\5x + 6y=10\end{cases}\) is \(x = 32,y=-25\) (after correcting the algebraic solution, but there might be a …
-
los amigos de stella le regalaron una clase de paracaidismo para su cum…
\( 1.68 \) kilómetros
-
what do \a\ and \b\ represent in the formula? the legs the hypotenuse r…
The legs
-
the radius, r, of a sphere is 4.2 m. calculate the spheres volume, v. u…
\( 310.2 \)
-
multiple-choice question in the formula, c will always represent what? …
The Hypotenuse