Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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part 1 of 2 graph each equation. determine the sc $x + 2y = 12$ $7x + 2…
The solution to the system is $x=-2$, $y=7$, or the point $(-2, 7)$. To graph: 1. For $y = -\frac{1}{2}x + 6$, plot $(12, 0)$ and $(0, 6)$, then draw the line through them. 2. For…
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find bd. write your answer as an integer or as a decimal rounded to the…
$5.0$
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7 25 cos a 48 50 15 15/48 cos a 29 21 20 20/21 sin a 63 65 16
1. For the first triangle: $\boldsymbol{\cos A = \frac{3}{10}}$ (the given $\frac{7}{25}$ is incorrect) 2. For the second triangle: $\boldsymbol{\cos A = \frac{20}{29}}$ (the give…
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think about the process which point on the graph is the solution of the…
D. The point where the lines intersect each other The solution to the system is $\boldsymbol{(4, -4)}$
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find eg. write your answer as an integer or as a decimal rounded to the…
9.7
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63 65 c 8 16 63 —— 65 cos a a 30 34 8 16 c 1 —— 17 tan a
1. $\cos A = \frac{63}{65}$ 2. $\tan A = \frac{8}{15}$
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find rs. write your answer as an integer or as a decimal rounded to the…
9.4
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find wy. write your answer as an integer or as a decimal rounded to the…
$6.8$
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find tv. write your answer as an integer or as a decimal rounded to the…
$6.7$
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find ac. write your answer as an integer or as a decimal rounded to the…
$9.1$
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find su. write your answer as an integer or as a decimal rounded to the…
$6.9$
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find gi. write your answer as an integer or as a decimal rounded to the…
3.4
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find u. 60° u 6√3 mm 30° write your answer in simplest radical form. mi…
9 millimeters
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note: figure not drawn to scale. the right square pyramid shown has a h…
421.2
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find p. 17√3 yd 60° 30° p write your answer in simplest radical form. y…
34 yards
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find g. 3√2 mm write your answer in simplest radical form. millimeters
$\sqrt{6}$ millimeters
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find d. (image of a right triangle with angles 60°, 30°, right angle, h…
4 yards
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find y. write your answer in simplest radical form. feet
38 feet
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here is how zee solved an equation. circle the mistake and explain why …
Zee's mistake is in the fourth line, $10 = -2x + 20$. When moving $-6x$ to the right side of the equation, it should be added to $4x$, resulting in $10x$, not subtracted. $x = -1$
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find z. write your answer in simplest radical form. miles
14 miles
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find m. 3√6 m 45° 45° m write your answer in simplest radical form. met…
$3\sqrt{3}$ meters
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find n. write your answer in simplest radical form. miles submit
$5\sqrt{6}$ miles
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find n. write your answer in simplest radical form. yards
$16\sqrt{2}$ yards
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find y. write your answer in simplest radical form. centimeters
$6\sqrt{6}$ centimeters
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draw a line with the given intercepts. x + y = -4 use the graphing tool…
The line passes through the points $(-4, 0)$ and $(0, -4)$, forming a straight line on the coordinate grid.
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use the graph to answer all of the questions select the number of y - i…
To solve the questions about the graph, we analyze each part: ### 1. Number of \( y \)-intercepts A \( y \)-intercept is where the graph crosses the \( y \)-axis (when \( x = 0 \)…
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11 find the area of the shape by dividing it into rectangles. enter you…
Area: $8 \times 2 = 16$ Area: $4 \times 5 = 20$ Total area: 57 square units
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triangle nop is similar to triangle qrs. find the measure of side rs. r…
\(37.8\)
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triangle hij is similar to triangle klm. find the measure of side kl. r…
$13.8$
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there is a geometric figure with angles marked as 132°, 30°, 58°, 148°,…
If we take angle 7 as an example, the measure of angle 7 is \(\boldsymbol{32^\circ}\). (The answer will vary depending on which angle we are calculating. For example, angle 1 is \…
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read the excerpt from the strange case of dr. jekyll and mr. hyde. i ne…
B. character vs. character
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question find the length of the third side. if necessary, round to the …
19.5
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△abc is the image of △abc under a rotation about point p. determine the…
B. \( 90^\circ \) counterclockwise, D. \( 270^\circ \) clockwise
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identifying key characteristics of graphs of functions use the graph to…
1 ### 2. Number of x - intercepts
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find an equation for the line below.
$y=-\frac{3}{8}x-\frac{17}{8}$
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3 use the pythagorean theorem to find the distance between the given po…
5.8
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point ( a ) is the image of point ( a ) under a rotation about the orig…
A. \( 90^\circ \) clockwise, E. \( 270^\circ \) counterclockwise
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a computer screen has a diagonal dimension of 19 inches and a width of …
11.7 inches (corresponding to the option: 11.7 inches)
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in the figure below, suppose ( mangle2 = 32^circ ) and ( mangle4 = 30^c…
The sum of the interior angle measures of a triangle must be \(\boldsymbol{180}\)°. So, \(m\angle1 + m\angle2 + m\angle4=\boldsymbol{180}\)°. So, \(m\angle1 + m\angle2=\boldsymbol…
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a photographer enlarged a picture. if the width of the image is 5 inche…
2
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one end of a cable is attached to the top of a 60-foot pole. the other …
65
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place the correct value to complete the sentence. linda built a fence a…
216
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two parallel lines, p and q, are cut by the transversal d as shown. sup…
(if finding \( m\angle1 \)): \( 40^\circ \)
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5. the slope of the line segment joining a (8, -3) and b (6, p) is \\(\…
B. \( -\frac{19}{5} \) ### Question 6
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introduction to similarity (tues 1/20) find the missing the side. 10 8 …
5
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introduction to similarity (tues 1/20) find the missing side length. 12…
20
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rosemary is cutting 3 wooden sticks to build part of a kite frame. the …
6, 8, 10
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introduction to similarity (tues 1/20) find the missing side length. 10…
16
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state whether the graph represents a function. draw
The graph does not represent a function.
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sam built a walkway out to a firepit in his backyard. he used square st…
13
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quadrilateral ( abcd ) is the image of quadrilateral ( abcd ) under a r…
# Explanation: ## Step1: Recall rotation rules For a point \((x,y)\) rotated about the origin: - \(90^\circ\) clockwise: \((x,y)\to(y, -x)\) - \(90^\circ\) counterclockwise: \((x,…
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indicate whether or not each set of lengths can be used to form a right…
To determine if a set of lengths can form a right triangle, we use the Pythagorean theorem, which states that for a right triangle with legs \(a\) and \(b\) and hypotenuse \(c\) (…
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the diagram shows a triangle. what is the value of y? y =
\(y = 5\)
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the diagram shows a triangle. what is the value of c? c = ° submit
\(c = 26\)
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triangle def is shown below. what is the length, in centimeters, of \\(…
\( 8 \)
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find the distance between the points a and b given below. (that is, fin…
\(5.83\) (assuming the horizontal distance is 3 and vertical distance is 5, so the distance is \(\sqrt{3^2 + 5^2}=\sqrt{34}\approx5.83\))
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in the right triangle below, w is the hypotenuse, and u and v are the l…
D. \( w^2 = u^2 + v^2 \) (assuming the last option is D, as per the standard Pythagorean theorem statement for this triangle)
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which of these graphs represents a function? graph a graph b graph c gr…
B. B
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which graph shows a function and its inverse? options are labeled a, b,…
B (the graph in option B)
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determine the center and radius of the circle. $(x + 1)^2 + (y - 4)^2 =…
The center is $(-1, 4)$ The radius is $r=3$
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introduction to similarity (tues 1/20) are these figures similar? 6 80°…
No (the figures are not similar)
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a graphic artist has enlarged a rectangular photograph using a scale fa…
48
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you move left 2 units. you end at (3, 4). where did you start?
$(5, 4)$
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you move left 7 units. you end at (-3, -3). where did you start?
$(4, -3)$
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you start at (2, -2). you move right 3 units and up 4 units. where do y…
$(5, 2)$
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you start at (3, 3). you move right 2 units and left 7 units. where do …
$(-2, 3)$
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you start at (-2, 5). you move left 3 units and down 4 units. where do …
$(-5, 1)$
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you start at (2, -5). you move left 7 units and right 2 units. where do…
$(-3, -5)$
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you start at (-4, 0). you move left 1 unit. where do you end?
$(-5, 0)$
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you start at (3, -1). you move left 2 units and right 1 unit. where do …
$(2, -1)$
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you start at (3, 1). you move up 2 units and left 1 unit. where do you …
$(2, 3)$
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consider the line 5x - 8y = -7. find the equation of the line that is p…
Equation of perpendicular line: $8x + 5y = 46$ Equation of parallel line: $5x - 8y = -38$
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consider the line $y = -\frac{8}{5}x + 9$. find the equation of the lin…
Equation of parallel line: $y = -\frac{8}{5}x - \frac{34}{5}$ Equation of perpendicular line: $y = \frac{5}{8}x + 11$
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for the right triangles below, find the values of the side lengths d an…
(a) \( d\approx4.0 \) (b) \( h\approx7.1 \)
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find an equation for the line that passes through the points (3, -6) an…
$y=-\frac{1}{2}x-\frac{9}{2}$ (or in standard form: $x+2y=-9$)
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select the correct answer. a small business averages $5,500 per month i…
A. (The graph with closed circle at 6 and arrow pointing to the right (increasing x))
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proving congruence (triangle congruence: sss and sas) classwork for exe…
1. 24. $\angle M$ 2. 25. $\overline{TM}$ and $\overline{TD}$ (assuming $D$ is the third vertex of $\triangle DGT$) 3. 26. $\angle G$ 4. 27. $\angle B \cong \angle G$ (or the inclu…
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vertical angles are always ____. total 180 degrees; adjacent angles; ac…
D. congruent (equal measures)
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what are vertical angles? angles that are adjacent to each other angles…
D. Angles that are opposite of each other when lines intersect
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the measures of the angles of a triangle are shown in the figure below.…
$x = 41$
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find the missing angle.
50
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name a pair of complementary angles. angle 4 and angle 5; angle 3 and a…
Angle 1 and Angle 2
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in the given figure, ( moverarc{bc} = 118^circ ), ( moverarc{eb} = 76^c…
A. The measure of $\widehat{DE}$ is $48^\circ$, and triangle BCD is isosceles.
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
$\angle CAE \longleftrightarrow 15^\circ$ $\angle CAD \longleftrightarrow 30^\circ$ $\angle BAE \longleftrightarrow 180^\circ$ $\angle DEC \longleftrightarrow 120^\circ$
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type the correct answer in the box. use numerals instead of words. an a…
36
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josephine is constructing a circle circumscribed about triangle xyz. sh…
C. Yes, she should have placed the compass with the fixed end on P and drawn a circle through point X.
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in the given circle, tangent ab and secant cd intersect at point e as s…
D. 140
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select the correct answer. what is the equation of the parabola shown w…
B. $y = \frac{1}{4}(x - 1)^2 - 2$
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complete the statement by selecting the appropriate value that will exa…
Rotate Pom 1 45 degrees counterclockwise about the point where the arms meet.
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what is the slope of the line that goes through (-5,-5) and (5,-7)? a. …
A. $-\frac{1}{5}$
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the diagram shows a convex polygon. what is the value of ( v )? ( v = s…
$52$
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cole is an urban planner. he wants to create a small scale drawing of a…
Draw a square on the grid where each side measures 20 grid units (since 20 units × 5 m/unit = 100 m), with all corners as right angles, matching the square shape of the city block.
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what is the equation of the directrix of the parabola given by the equa…
D. $x=6$
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select the correct answer. the vertex of a parabola is at the point (3,…
D. $f(x)=\frac{1}{16}(x - 3)^2 + 1$
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the vertex of a parabola is (0, 0) and the focus is $\\left(\\frac{1}{8…
B. $x = 2y^2$
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the upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-…
The rectangle has vertices at $(-1, 4)$, $(3, 4)$, $(3, -4)$, and $(-1, -4)$. To draw it, plot these four points and connect them with straight lines.
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find the value of ( x ) in the triangle shown below. ( x = square^circ …
$56$
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you might need: calculator find the value of x in the triangle shown be…
$58^\circ$
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what is the area of this triangle? 128 cm squared 32 cm squared 28 cm s…
32 cm squared
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cameron deconstructs a box to put in the recycling bin. when the box is…
A. \((2)(5)(3) + (2)(8)(3)\)