Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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graph the line. y = -x - 1
To graph \( y=-x - 1 \): 1. Plot the y - intercept at \( (0,-1) \). 2. Use the slope \( m = - 1\) to find additional points (e.g., \( (1,-2) \), \( (-1,0) \)). 3. Draw a straight …
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29 parallel lines p and q are intersected by transversal r, as shown. w…
\( x = 150 \) ### Problem 30
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figure mn || op and ∠ost = 73°. find the measure of ∠mts and ∠stn . a ∠…
D. \( \angle MTS = 73^\circ \) and \( \angle STN = 107^\circ \)
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what is gj? 55 46° 46° gj = submit
\( 55 \)
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3. find the measure of angle a. a triangle with vertices a, b, c. side …
The measure of angle \( A \) is approximately \( \boldsymbol{31^\circ} \) (or more precisely \( 30.5^\circ \))
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4. a 15-ft long ladder leans up against the side of a house. it reaches…
The base of the ladder is 9.0 ft from the base of the house. ### Problem 5:
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2 32 which of the following correctly uses the pythagorean theorem to f…
C. \( x^2 + 8^2 = (10)^2 \) ### Question 33
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e) $2x \\geq x - 1$ g) $\\frac{x}{4} + 1 \\geq 3$ 8. represent on the r…
(for representation on number line description): The solution \( x \leq 3 \) on the real number line is represented by a closed circle at 3 and a line segment (or ray) extending t…
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is the length of the unknown leg to the nearest tenth? a 2.4 b 5.1 c 12…
C. 12.5 ### Question 35 (Non - right triangle using converse of Pythagorean theorem)
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9. g.gsr.8.3: which of the points does not lie on the circle $(x + 2)^2…
D. \((0, 5)\) ### Question 10
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in the figure below, ( k parallel j ). find the values of ( y ) and ( z…
\( y = 63 \), \( z = 16.5 \)
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in the figure below, ( l parallel m ). find the values of ( y ) and ( x…
\( y = 118 \), \( x = 20 \)
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bel: scale scale up 1._______ 2:1 scale drawing 2._______ scale factor …
1. scale drawing 2. scale factor 3. scale down 4. scale up
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use the pythagorean theorem to solve for the unknown length of a leg (a…
\(\sqrt{13}\) ### Second Problem: \(a = ?, b = 4\) and \(c = 6\)
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in the figure below, l || m. find the values of y and x.
# Explanation: ## Step1: Encontrar \( y \) usando ángulos correspondientes Dado que \( l \parallel m \), el ángulo de \( 62^\circ \) y \( y^\circ \) son ángulos correspondientes, …
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diagram shows three squares that are joined at vertices to form a right…
A. The sum of the areas of Square \( N \) and Square \( L \) is equal to the area of Square \( K \).
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in the figure below, n || l. find the values of x and z. x = z = (3z + …
\( x = 120 \), \( z = 23 \)
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47 graph the following equation. y = x - 2
To graph \( y=x - 2 \), plot the y - intercept \( (0,-2) \) and use the slope \( m = 1 \) to find another point (e.g., \( (1,-1) \)), then draw a straight line through these point…
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question #9 find the slope of the line graphed below.
\(-\frac{1}{2}\)
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use the two points to find the slope of this line. m = ? remember: slop…
\(\frac{3}{4}\)
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is the slope of this line positive or negative? a) positive b) negative…
a) positive
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38 the sides of triangle abc measure 10, 12, and 15 centimeters. the si…
A. Triangle DEF is a right triangle; triangle ABC is not a right triangle.
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49. find the slope of the line that contains the points (-2, 1) and (-2…
The slope is undefined.
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use the two points to find the slope of this line. m = - ?/ remember: s…
The value in the numerator (the? part) is 2 and the denominator is 3. So the fraction is \(\frac{2}{3}\), and the slope \(m =-\frac{2}{3}\). If we are only looking at the numerato…
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an architect’s sketch of plans for the front of a garage in the shape o…
C. about 36 ft
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is the slope of this line positive or negative? a) positive b) negative
b) negative
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use the two points to find the slope of this line. m = - ?/ remember: s…
The numerator (the value in the green box) is \(1\) and the denominator (the value in the brown box) is \(2\), so the slope is \(-\frac{1}{2}\), with the numerator being \(1\) and…
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use the two points to find the slope of this line. m = -?/blank remembe…
The numerator (the value in the green box) is \(4\) and the denominator (the value in the brown box) is \(1\). So the answer for the green box (the numerator) is \(4\).
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use the two points on the line to find its slope. m = -? remember: slop…
The numerator (the "?") is \(1\) and denominator is \(3\). But since the question is asking for the "?" in \(m = -\frac{?}{?}\), the value of "?" (the numerator) is \(1\) (and den…
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use the given information to prove that △rst ≅ △rut. given: \\(\\overli…
Para completar la tabla: 1. Razón para $\overline{ST}\cong\overline{UT}$: Given (Dado) 2. Segundo enunciado: $\overline{RS}\cong\overline{RU}$ (dado) 3. Razón para $\overline{RT}\…
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44 multiply/distribute the expression. use generic rectangles or any me…
\(12x^3 - 23x^2 + 13x - 2\)
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use the given information to prove that △def ≅ △fgd. given: overline{de…
1. \( \overline{FG} \) 2. Given 3. \( \overline{DF} \) 4. SAS (Side - Angle - Side)
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determine whether each pair of triangles is congruent. if yes, include …
\( x = 12 \)
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39 find the missing side in the right triangle. round to the nearest hu…
10.72 ### Problem 40
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graph the line. x + y = -3
The graph of the line \(x + y=-3\) (or \(y=-x - 3\)) has a y - intercept at \((0, - 3)\) and a slope of \(-1\). It passes through points like \((0,-3)\), \((1,-4)\), \((-1,-2)\) e…
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use the protractor to measure the angle. ∠ def = \\boxed{} ^\\circ
\( 30 \)
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use the protractor to measure the angle. ∠ def = \\square °
\( 40 \)
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which of the following statements must be true based on the diagram bel…
\(\overline{JK}\) is a segment bisector, \(J\) is the midpoint of a segment in the diagram, \(J\) is the vertex of a right angle? Wait, no, earlier analysis: wait, in the rectangl…
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use the protractor to measure the angle. hide ∠ def = \\boxed{} ^\\circ
\( 30 \)
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given the figure below, find the values of x and z. (12x - 53)° 67° z° …
\(x = 10\), \(z = 113\)
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show ∠ abc = \\(\\square\\) °
60
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use the protractor to measure the angle. ∠ def = \\boxed{} ^\\circ
\( 70 \) (Note: The actual answer may vary based on the precise protractor measurement of the given diagram. If the diagram is such that the angle is, for example, 60 or 80 degree…
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graph the line. y - 4x = -2
# Explanation: ## Step1: Rewrite in slope - intercept form The equation of a line in slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. S…
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b. find the value of the variable. (3x + 2)° 50°
\(x = 16\)
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given the figure below, find the values of x and z. (13x + 67)° (11x + …
x = 2, z = 93
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use the protractor to measure the angle. ∠ abc = \\square °
\( 150 \)
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understand and write inequalities quick review an inequality is a mathe…
1. \( x < 10 \) 2. \( x > 5 \) 3. \( x \geq 3 \) 4. \( x \leq 7 \)
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41 one end of a cable is attached to the top of a flagpole and the othe…
A. 13.4 feet
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use the protractor to measure the angle. ∠ def = °
\( 80 \) (The actual answer may vary depending on the real - life measurement with the protractor. If you measure, place the protractor on \( E \), align \( ED \) with the base li…
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given the figure below, find the values of x and z. (7x - 57)° (6x - 40…
\(x = 17\), \(z = 118\)
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25. find the indicated value. a. find the measure of ∠b.
$44^\circ$
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read a second text about drinking straws. in the past, drinking straws …
- Discarded straws present hazards for marine wildlife. (checked) - Straws are now a regularly dispensed item at many restaurants. (checked) - Staff at some restaurants avoid auto…
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use the protractor to measure the angle. ∠ abc = °
\( 45 \) (Note: In a real situation, the answer should be obtained by actually using the protractor to measure the angle. This is a sample answer based on the typical appearance o…
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10. if \\(\\overrightarrow{qs}\\) bisects \\(\\angle pqr\\), find \\(m\…
\( 78^\circ \) ### Problem 12:
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use the protractor to measure the angle. ∠ def = °
\( 50 \) (Note: Actual measurement may vary slightly based on protractor use, but this is a common estimate for the given angle diagram.)
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b. find the value of the variable. (3x + 1)° (x - 5)°
\(x = 46\)
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cip geometry 1st semester final exam review 2023-2024 33. $overline{oe}…
\( 108^\circ \) ### Problem 35: Transformation (Shape)
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use the protractor to measure the angle. ∠ def = □°
\( 70 \) (Note: The actual answer may vary depending on the precise measurement with the protractor. If the diagram is such that the angle is, for example, 60 or 80, the answer wo…
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use the protractor to measure the angle. show ∠ def = \\boxed{} ^\\circ
\( 120 \)
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27. find the indicated value. a. find the measure of ∠b.
\( 122^\circ \)
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given the figure below, find the values of x and z. the figure shows tw…
\(x = 3\), \(z = 82\)
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y wants to put a fence around an area. the fence will follow the diagra…
C. 43 ft
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graph the line. y = -2x
To graph \( y = -2x \), plot the origin \((0,0)\), then use the slope \(-2\) to find other points (e.g., \((1, -2)\), \((-1, 2)\)) and draw a straight line through them.
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b. find the value of the variable. (3x + 2)° (x + 16)°
\(x = 18\)
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graph the line. y = x
To graph \( y = x \), plot the points \((0,0)\), \((1,1)\), \((2,2)\), \((-1,-1)\) (and others) and draw a straight line through them with a slope of 1 passing through the origin.
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given the figure below, find the values of x and z. (6x + 64)° 59° z° x…
\(x = -1\), \(z = 122\)
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use the protractor to measure the angle. ∠ def = \\boxed{} ^\\circ
130
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11. ∠r and ∠s are complementary angles. if m∠r = (6x − 47)° and m∠s = (…
\(23^\circ\)
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24. find the indicated value. a. find the measure of ∠b.
\( 28^\circ \)
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given parallel lines converse a. ∠10 ≅ ∠15 b. m∠14 + m∠18 = 180° c. ∠4 …
To fill the table, we use the converses of angle - related theorems (Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Same - Side Interior Angles) to de…
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given the figure below, find the values of x and z. z° (7x + 8)° (12x +…
x = 9, z = 71
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23. given: if an angle measures more than 90°, then it is obtuse. given…
Law of Detachment ### Problem 24
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43 an escalator runs from the first floor of a shopping mall to the sec…
D. 27.5 feet
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24. find the indicated value. a. find the measure of ∠b. b. find the va…
\( 28^\circ \) ### 24b Solution:
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which figure comes next in the pattern?
The top - middle figure (the second figure in the top row of options)
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draw a venn diagram to represent each relationship. 25. some multiples …
### Problem 25: Some multiples of 3 are even numbers. # Explanation: ## Step 1: Define Sets Let set \( A \) be "Multiples of 3" and set \( B \) be "Even numbers". ## Step 2: Analy…
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which figure comes next in the pattern?
The bottom - left figure (the figure in the bottom - left corner among the four smaller figures)
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point in original figure: ( , ) point in final figure: ( , )
Original point: $(-6, -2)$, Final point: $(6, 2)$
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use the formula $h = \\frac{v}{lw}$, where $l$ is the length of the pri…
4 inches (corresponding to the option "4 inches")
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4) perpendicular/angle bisectors a. find the length of pq in the given …
The length of \( PQ \) is \( 5 \).
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the circumference of a circular garden is 75.36 feet. what is the radiu…
12
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mara ran 3 km north and then 4 km east. she will finish her run by runn…
12 km
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find the value of x so that ℓ || m. (6x + 4)° (8x − 8)° x = need help?
\( x = 6 \)
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4 in $\\triangle abc$, $\\overline{bd}$ is perpendicular to $\\overline…
12
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the circumference of a circular painting is 6.28 feet. what is the diam…
2
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drag each pair of lines to show if they are parallel, perpendicular, or…
- Parallel: The first (two vertical arrows) and third (two slanted same - direction arrows) pairs. - Perpendicular: The second (cross with horizontal and vertical arrows) pair. - …
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the circumference of a circular field is 210.38 yards. what is the diam…
67
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is this figure a line, a line segment, or a ray? use the drop-down menu…
line
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3) hinge theorem/converse a. compare the given side lengths ab ____de (…
$AB < DE$
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the equations of three lines are given below. line 1: $3x - 9y = -18$ l…
Line 1 and Line 2: Neither Line 1 and Line 3: Neither Line 2 and Line 3: Perpendicular
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determine if the graph is a function. is this the graph of a function? …
Yes
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a triangle with these listed lengths. a. 8, 12, x i. b. 10, 6, x i. c. …
- a. \( 4 < x < 20 \) - b. \( 4 < x < 16 \) - c. \( 10 < x < 32 \) - d. \( 12 < x < 42 \)
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d. a right triangle has one ____ angle.
A right triangle has one \( 90^\circ \) (or "right") angle.
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26 find the scale factor of trapezoid qrst if it is dilated to qrst. ty…
2
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find the value of k for the function g. then describe the graph of g as…
D. \( k \) is equal to 2. The graph of \( g(x) \) is translated 2 unit(s) up compared to the graph of \( f(x) \)
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the circle below has center e. suppose that m∠feg = 128° and that fh is…
(a) \( m\overset{\frown}{FG} = \boldsymbol{128^\circ} \) (b) \( m\angle GFH = \boldsymbol{64^\circ} \)
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read each statement and decide if it is true or false. click the circle…
1. First statement: True 2. Second statement: True 3. Third statement: False
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abc undergoes a dilation of scale factor 3 centered at the origin, what…
D. \( (6, 9) \)
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consider the line $y = -5 - \\frac{3}{4}x$. what is the slope of a line…
Slope of a perpendicular line: \(\frac{4}{3}\) Slope of a parallel line: \(-\frac{3}{4}\)
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the circle below has center e. suppose that m∠feg = 128° and that fh is…
(a) \( m\overarc{FG} = \boldsymbol{128^\circ} \) (b) \( m\angle GFH = \boldsymbol{64^\circ} \)