Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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identifying the graph of a system of two-variable linear inequalities w…
The fourth graph (the last one among the four given graphs)
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a map shows that 1 inch represents 4 miles in real life. on the map, th…
12 miles
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teacher:flood class:flood 6th period student andino, janessa find the l…
\(5.8\) (or \(\sqrt{34}\) if not rounded)
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22. find the perimeter of the parallelogram. the parallelogram (a rhomb…
\(\boxed{20}\)
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naming points heres your point from the previous screen. (1) what are t…
1. The coordinates of the given point are $(2, -4)$ 2. Three example other points: $(0, 0)$, $(3, 5)$, $(-2, 1)$
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the area of a square is 81 square centimeters. find the length of a sid…
\( 12.73 \)
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practice 18. what are the values of ab and de in parallelogram abcd? se…
\( AB = 13 \), \( DE = 5 \)
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drag the red point to some location where the y - value is - 2. (again,…
The red point should be placed at a coordinate where the second value is -2, such as $\boldsymbol{(3, -2)}$ (any point with $y=-2$ is valid, e.g., $(-5, -2)$, $(2, -2)$ are also a…
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4. given: ∠n and ∠q are right angles; \\(\\overline{no} \\cong \\overli…
### Problem 4: Prove \( \triangle ONP \cong \triangle PQO \) #### Step 1: Identify Right Angles **Statement 1:** \( \angle N \) and \( \angle Q \) are right angles. **Reason 1:** …
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find the distance between the two points in simplest radical form. (6, …
$8\sqrt{2}$
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find the distance between the two points in simplest radical form. (-6,…
$\sqrt{13}$
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geometry, unit 5 - congruent triangles proof activity - part i name for…
1. Statements: \(\overline{BC} \cong \overline{DC}\), \(\overline{AC} \cong \overline{EC}\); Reasons: Given 2. Statements: \(\angle BCA \cong \angle DCE\); Reasons: Vertical \(\an…
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11. triangles mno and pqr are similar. find the measure of the missing …
\(72\)
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15. the formula for the perimeter of a rectangle is $p = 2l + 2w$, wher…
\(l=\frac{P - 2w}{2}\) (or equivalent forms like \(l=\frac{P}{2}-w\))
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7) solve and graph the inequality: \\(\\frac{5}{4}b < 2\\frac{2}{4}\\)
The solution to the inequality is $b < 2$. For the graph: On a number line, use an open circle at $2$ and shade the region to the left of $2$.
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10. triangles abc and def are similar. find the measure of the missing …
\(61\)
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select the two equations that represent the same line. $y - 2 = 3(x - 1…
\(y + 4=\frac{1}{2}(x - 2)\) and \(x - 2y-10 = 0\)
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question find the distance between the two points in simplest radical f…
$5$
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problem 4 - part b an equilateral triangle has three sides of equal len…
30
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problem 4 - part a an equilateral triangle has three sides of equal len…
6
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write the coordinates of the vertices after a translation 7 units left.…
$B'(-5, 2)$ $C'(-5, 7)$ $D'(0, 7)$ $E'(0, 2)$
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deedee draws a rectangle with sides measuring 12 inches and 30 inches. …
- Area of original rectangle: \( 360 \) square inches. - Area of dilated rectangle: \( 14.4 \) (or \( \frac{72}{5} \)) square inches. - The area of the original rectangle is \( 25…
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write the coordinates of the vertices after a translation 7 units right…
$A'(10, -4)$ $B'(10, 6)$ $C'(8, -4)$
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write the coordinates of the vertices after a translation 2 units left …
# Explanation: ## Step1: Identify original coordinates Original[LLM SSE On Failure]
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are these triangles similar? using the distance formula and proportions…
The triangles are similar. This is because they both have a \(45^\circ\) angle, and the sides around this angle are proportional (the ratios of corresponding sides are equal, sati…
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solve the problem using inductive reasoning. how many line segments are…
10,28
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christine is pumping water into an aquarium at a rate of 12 liters per …
(a) \(x < 24\); Graph: Open circle at 24, shaded left (b) To meet the goal, the aquarium will have less than 324 liters of water in it. This will take less than 24 minutes.
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what have you learned so far? write a quick summary (2-3 sentences) des…
Vertical lines have an undefined slope, as they have no horizontal change between any two points on the line. They are represented by the equation $x = a$, where $a$ is the fixed …
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a construction crew is lengthening a road. the crew is adding 6 miles t…
(a) $x \geq 13$ (b) The crew's goal is to lengthen the road to at least 130 miles. This will take at least 13 weeks.
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finding area find the area of the figure. round decimal answers to the …
54 square centimeters
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solve the problem using inductive reasoning. how many triangles are in …
A. 16
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given that n = 48 and a = 60, what is the value of b? (1 point) \\(\\bi…
\( b = 45 \) (so the option is \( b = 45 \))
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imagine that a rectangular prism similar to the one shown has a scale f…
\( 15\ cm^3 \) (corresponding to the option "15 \( cm^3 \)")
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solve it #2 a. determine the weight of a circle so the hanger stays bal…
40
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a rectangle measures 4 inches by 10 inches. it is dilated using a scale…
250
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use the image to answer the question. given that \\(\\overline{ab} = 9\…
15 (corresponding to the option "15")
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use the image to answer the question. given the image, which statement …
\( DF = \frac{1}{2}BC \) (the second option, i.e., the option with \( DF = \frac{1}{2}BC \))
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what is the area of this figure? image of a composite geometric figure …
63.5 square feet
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equations and inequalities solving a word problem using a two - step li…
(a) \(x \geq 10\) (b) To meet the goal, the tree must be at least 234 centimeters tall. This will take at least 10 years.
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which of the following is equivalent to the line defined by (4,9) and (…
D. \( 9x + 4y = 72 \)
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pythagorean theorem converse given a triangle with sides a, b, and c: -…
### Pythagorean Theorem Converse Rules: - If $\boldsymbol{a^2 + b^2 = c^2}$, then the triangle is $\boldsymbol{\text{right}}$. - If $\boldsymbol{a^2 + b^2 > c^2}$, then the triang…
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what is the value of x? (with a right - angled triangle image, one angl…
\(x = 40^\circ\)
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determine whether each set of measurements can form a triangle. select …
Yes (but the image has No, maybe a mistake) ### Part b: Side lengths \( 90^\circ \)? No, part b is side lengths: \( 3 \) inches, \( 7 \) inches, \( 90^\circ \)? No, part b is side…
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which rule explains why these triangles are similar? (image of two tria…
AA
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what is the value of x in the triangle? triangle with right angle, 30°,…
B. 7.5
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select the correct answer. consider triangle efg. what is the approxima…
C. 41.4°
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select the correct answer. an observatory is 150 feet high. when a pers…
A. 322 feet
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select the correct answer from each drop-down menu. consider the given …
8.07, 76
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what is the height, x, of the equilateral triangle? triangle with 60° a…
A. \(7\sqrt{3}\) inches
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rounded to the nearest tenth, what is the area of rectangle abcd? image…
A. 70.1 square feet
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triangle xyz has an altitude of h. jayden proves the area of \\(\\trian…
B. The area of △XYZ is incorrect. It should be $\frac{1}{2}xyh$.
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solving for interior angle measures what is the m∠acb? ○ 10° ○ 50° ○ 90…
50° (Option: 50°)
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
BC: $7\sqrt{2}$, BD: 7
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what is the value of x in the triangle? triangle with legs 10, 10 and h…
A. \(10\sqrt{2}\)
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select the correct answer from each drop - down menu. a student began a…
set the expressions for h equal
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select the correct answer from each drop-down menu. a student began a p…
express h in terms of angle X and side z
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find the value of x. (there is a triangle with angles x°, 116°, 31° and…
\(x = 33\)
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select the correct answer from each drop-down menu. consider right tria…
sin(A) = opposite/hypotenuse = 9/41; cos(A) = adjacent/hypotenuse = 40/41
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name: pythagorean theorem - used to find the missing ______ of a ______…
1. $x=\sqrt{149}\approx12.21$ 2. $x=4\sqrt{5}\approx8.94$ 3. $x=\sqrt{473}\approx21.75$ 4. $x=\sqrt{191.93}\approx13.85$ 5. $x=\sqrt{481}\approx21.93$ 6. $x\approx14.02$ 7. $x=2\s…
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type the correct answer in each box. use numerals instead of words. ava…
15.7, 9.7, 50
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find the shortest side of δcde.
CD
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type the correct answer in each box. use numerals instead of words. ava…
15.7, 9.7, 50
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find the smallest angle of $\\triangle wxy$. triangle with sides: $wx =…
The smallest angle of \(\triangle WXY\) is approximately \(50^{\circ}\) (or more precisely, approximately \(49.8^{\circ}\))
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type the correct answer in each box. use numerals instead of words. ava…
18.5 14.2 50
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select the correct answer. the shortest side of a right triangle measur…
B. 6
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tobias wants to add a wooden trim to a triangular window with the dimen…
A. 15.4 ft
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drag each length to the correct location on the triangle. each length c…
Side BC = 5√2, Side AC = 10
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drag each length to the correct location on the triangle. each length c…
The missing side lengths are 4 and 8.
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select the correct answer. what is the value of x? triangle with right …
D. 10.6
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in the given figure, δabc is a right triangle. what is true about δabc?…
C. sin(A) = cos(C) and cos(A) = sin(C)
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angles r and w are complementary. what is the value of x? (there is a d…
\(x = 9\)
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find the measure of the complement and the measure of the supplement of…
Complement: \( 32^\circ \) Supplement: \( 122^\circ \)
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select the correct answer. lucy started the proof of the law of cosines…
B. Step 2 – the sine ratio was applied incorrectly
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which expression gives the area of triangle qrs? triangle image with si…
C. $\frac{1}{2}(9)(15)\sin(20^\circ)$
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in triangle qrs, what is the approximate measure of angle q? triangle i…
A. 87.7°
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what is the approximate length of side ab in triangle abc? a. 15.2 unit…
A. 15.2 units
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lateral and total surface area of rectangular prisms. ill correctly sol…
\( 120 \)
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solve the given right triangle for its missing angle and side measures.…
D. m∠D = 55°, DE ≈ 8.40 units, DF ≈ 14.05 units
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in right triangle xyz, ∠x and ∠z are complementary angles and cos(x) is…
A. $\frac{9}{11}$
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two gymnasts are performing a floor routine before an audience. debbie …
B. 24.3 feet
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select the correct answer from the drop - down menu. a boat is 200 feet…
232 ft
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use the figure below to complete each exercise. figure showing two inte…
\(b = 14\)
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find the area of the blue shaded region. 22 in 18 in 4 in 5 in 4 in 5 i…
336
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find the area of the blue shaded region. 10 cm 8 cm 3 cm a = ? cm² roun…
\( 51.73 \)
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round your answer to the nearest hundredth. (there is a right triangle …
2.42
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the diagram shows the angles at which certain streets meet at an inters…
If we assume that the angle formed by Fourth Street and Reach Lane is \((4x - 4)^\circ\), and after solving \(x = 16\), the measure of the angle is \(60^\circ\). (If the question …
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find \\( \\sec \\theta \\), \\( \\sin \\theta \\), and \\( \\tan \\thet…
$\sec\theta = \frac{10}{\sqrt{51}}$, $\sin\theta = \frac{7}{10}$, $\tan\theta = \frac{7}{\sqrt{51}}$
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5. a map uses a scale of 1 cm = 10 km. what real distance does 7 cm rep…
1. 70 km 2. a. 5 inches b. 3 inches
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question 1 (10 points) in which quadrant would each of the following po…
1) Quadrant II 2) Quadrant IV 3) Quadrant II 4) Quadrant III 5) Quadrant IV 6) Quadrant I 7) Quadrant III 8) Quadrant II 9) Quadrant I 10) Quadrant III
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in the diagram, \\(\\overline{rp}\\) and \\(\\overline{tg}\\) intersect…
\( 20 \)
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identify the next figure in the pattern. choose the correct answer belo…
B. <The figure with 5 nested concentric squares>
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in the diagram below, $\\triangle svu \\cong \\triangle tuv$. complete …
- For statement 2: Corresponding parts of congruent triangles are congruent. - For statement 5: Side - Side - Side (SSS) Congruence Postulate. - For statement 6: Corresponding par…
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circle d has a radius of 3 centimeters. what is the length of \\(\\over…
\(\frac{11}{6}\pi\)
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15 if a rectangular prism with a length of 12 feet and a width of 9 fee…
17 feet
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parallel lines to solve angle measure in the figure below, r || s, m∠3 …
# Explanation: ## Step1: Verify the angle relationship Since \( r \parallel s \), \( \angle 3 \) and \( \angle 6 \) are consecutive interior angles, so they are supplementary (sum…
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lets get started! question 1: if a triangle has a base of 4 cm and a he…
$6\ \text{cm}^2$
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for what value of x is the quadrilateral a parallelogram? 5. diagram of…
1. $x=7$ 2. $x=8$ 3. $x=1$ 4. $x=79$ 5. $x=36$ 6. $x=6$
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how many solutions does the system of linear equations represented in t…
Infinitely many solutions
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lated by l. cranmer-byng in the quiet silence, on upon hill and plain, …
C. "As the wind - drawn note of the bamboo flute"
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items 11–12. parallelogram jklm is shown. 11. what is ( mangle ljm )? 1…
\( x = 19 \), \( JR = 33 \) ### Question 13 Solution: