Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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find the value of x. x = \\square (simplify your answer.)
$\frac{23}{2}$
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to estimate the height of a tree, tia and felix walk away from the tree…
# Explanation: ## Step1: Recall the geometric theorem The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the …
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what is tan b? a. \\(\\frac{2}{3}\\) b. \\(\\frac{3}{2}\\) c. \\(\\frac…
B. $\frac{3}{2}$
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to estimate the height of a tree, tia and felix walk away from the tree…
2.54 meters (rounded to the nearest hundredth)
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1) a man is standing on the ground the base of a tree. the angle of is …
Approximately 49.93 feet (or 50 feet when rounded to the nearest whole number)
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try another one. line n goes through points a and b. what is the slope …
$\frac{3}{5}$
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quadrilateral n is the image of quadrilateral n under a dilation. what …
B. \( B \)
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line m goes through points a and b. what is the slope of line m? solve …
$-\frac{1}{4}$
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reflections graph the image of the figure using the transformation give…
To solve these reflection problems, we'll take problem 1 (reflection across the \( y \)-axis) as an example to show the step - by - step process. The same logic can be applied to …
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what is another way to write the slope of the line? point a : (-4, 6) p…
$-\frac{1}{3}$ (matches the option $-\frac{1}{3}$)
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5. (02.04 mc) in \\( \\triangle efg \\), is it possible for \\( \\overl…
No, because $3+6<9$, $6+9>3$, and $9+3>6$ (Note: correction to the option text logic: the actual invalid sum is $3+5=8<9$, which matches the core reasoning of this option)
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subtract in the numerator and denominator to find the slope of the line…
$\boldsymbol{\frac{-1}{3}}$
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write a rule to describe each transformation. 7) 8) 9) 10) 11) 12)
The transformation rule for problem 7 is \(\boldsymbol{(x, y) \to (x + 2, y)}\) (translation 2 units to the right). --- ### Problem 8:
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4. (02.04 mc) given δmno, find the measure of ∠mno. (2 points) options:…
28°
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area of triangle =?
The area of the triangle is \( 18 \, \text{cm}^2 \)
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which angles have an angles at a point relationship? \\(\\angle 1, \\an…
2. All of the angles!
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4. (02.04 mc) given δmno, find the measure of ∠mno. (2 points) options:…
28°
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3. (02.04 mc) isosceles triangle abc contains angle bisectors, ad, and …
136°
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which angles have a vertical relationship? ∠4, ∠5 ∠2, ∠5 ∠1, ∠5 all of …
3. \(\angle 1, \angle 5\)
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2. lateral area: 15 cm total surface area: 4 cm 4 cm 4. lateral area: 2…
### Problem 2 (Rectangular Prism with dimensions 4 cm, 4 cm, 15 cm) #### Lateral Area of a Rectangular Prism The formula for the lateral area \( LA \) of a rectangular prism is \(…
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Question was provided via image upload.
$\boldsymbol{\triangle ABD \cong \triangle CBD}$
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to estimate the height of a tree, tia and felix walk away from the tree…
# Explanation: ## Step1: Identify the geometric relationship From the problem, we can model this situation using similar triangles or the geometric mean theorem (altitude-on-hypot…
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triangle abo is shown below: given: △abc prove: all three angles of △ab…
Angle Addition Postulate
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peter and vivian each wrote a proof for the statement: if ∠2 ≅ ∠3, then…
Peter used a direct proof because evidence is used to support the conclusion. Vivian used an indirect proof because the final statement is a contradiction.
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(04.02 lc) which statement explains how the lines $2x + y = 4$ and $y =…
They are perpendicular.
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write the coordinates of the vertices after a dilation with a scale fac…
$D'(5, -5)$ $E'(5, 10)$ $F'(-10, 0)$
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
\( \boxed{64} \)
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Question was provided via image upload.
s: - For the first diagram: \(x = \boldsymbol{13}\) - For the second diagram: \(x = \boldsymbol{3}\) - For the third diagram: \(x = \boldsymbol{-4}\)
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select the correct answer from each drop-down menu. peter and vivian ea…
Peter used a direct proof because he used the given information to show that the statement is true. Vivian used an indirect proof because she assumed that the statement is false a…
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surface area of rectangular prisms determine the lateral and total surf…
Lateral Area: \( 104 \) square inches Total Surface Area: \( 188 \) square inches
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solve for the value of a) (there is a right triangle w v u, with a righ…
$x \approx 104$ (rounded to nearest whole number) or $\boldsymbol{\frac{96}{\sin(68^\circ)} \approx 103.5}$
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solve for the value of x. rc a)
$x \approx 38.8$
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match the correct figure to each label. \\(\\overrightarrow{cd}\\) \\(\…
$\overrightarrow{CD} ightarrow$ The figure showing a ray starting at point $C$ and passing through point $D$. $\overleftrightarrow{CD} ightarrow$ The figure showing a line passing…
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use the coordinates of points a and b to write an expression to represe…
$\frac{3 - 6}{5 - (-4)}$
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what is the slope of line h?slope = \\frac{vertical distance}{horizonta…
-3
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6-116. samantha is dilating triangle ( abc ) at right. she multiplied e…
a. To graph the new triangle \(A'B'C'\), plot the points \(A'(0, -6)\), \(B'(4, 0)\), and \(C'(-4, -2)\), then connect the vertices with line segments. b. Triangle \(ABC\) was dil…
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select the correct answer from each drop - down menu. given: (ux = wz),…
3 the substitution property of equality was used to replace $UX$ and $WZ$ with their equivalent expressions substitution property of equality
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geometry - honors - 9(ac)10(a) - 2025-2028 7-4: mathxl for school: prac…
\( s_2 = \boldsymbol{36} \) \( a = \boldsymbol{9\sqrt{5}} \) \( u_1 = \boldsymbol{9\sqrt{5}} \) \( u_2 = \boldsymbol{18\sqrt{5}} \)
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(04.01 mc) δefg is located at e (0, 0), f (-7, 4), and g (0, 8). which …
\( \triangle EFG \) is an isosceles triangle. (The option: \( \triangle EFG \) is an isosceles triangle.)
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what is the y - intercept?
-1
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(04.01 lc) how could you use coordinate geometry to prove that \\(overl…
C. Prove the lengths are the same.
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what type of slope? steep zero slope undefined negative
undefined
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question 1 (04.01 mc) how can you prove a triangle is a right triangle?…
B. Use the slope formula to see if any sides are perpendicular. ### Question 2
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7 a fish farm builds a breeding basin in the form of a quadrilateral ab…
Since opposite sides of quadrilateral ABCD have equal slopes (are parallel), ABCD is a parallelogram.
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name a linear pair of angles. ____ and ____
\(\angle 7\) and \(\angle 8\) (or other valid linear pair from the diagram, e.g., \(\angle 3\) and \(\angle\) a supplementary angle; the exact answer depends on the diagram's angl…
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use the coordinates to write an expression you could use to find the ch…
$\frac{3 - 9}{2 - 0}$
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name two adjacent angles. ____ and ____
$\angle1$ and $\angle2$ (Other valid pairs like $\angle2$ and $\angle3$, $\angle7$ and $\angle8$ etc. are also correct)
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9) drag and drop the words to the sentences. if two lines intersect, th…
First blank: vertical angles Second blank: supplementary
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in the figure, ( mangle 1=(5x)^circ ) and ( mangle 2=(x - 6)^circ ). (a…
(a) Equation: $5x + (x - 6) = 90$ (b) $m\angle 1 = 80^\circ$ $m\angle 2 = 10^\circ$
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in the figure, ( mangle1=(x + 13)^circ ) and ( mangle2=(6x)^circ ). (a)…
(a) Equation: $(x+13) + 6x = 90$ (b) $m\angle1 = 24^\circ$ $m\angle2 = 66^\circ$
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line e goes through points a and b. what is the slope of line e? start …
Slope = $\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}} = \frac{3}{2}$
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drag the tiles to the correct boxes to complete the pairs. not all tile…
$LY ightarrow 6$ $NM ightarrow 17$ $m\angle NLY ightarrow 53.13^{\circ}$ $m\angle NMY ightarrow 28.07^{\circ}$
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Question was provided via image upload.
Blank 1: \( 31^\circ \) (from options: \( 31^\circ \)) Blank 2: \( 59^\circ \) (from options: \( 59^\circ \)) Blank 3: \( 38^\circ \) (from options: \( 38^\circ \)) Blank 4: \( 69…
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in the figure, ( mangle 1=(2x)^circ ) and ( mangle 2=(x + 66)^circ ). (…
(a) Equation: $2x + (x + 66) = 180$ (b) $m\angle1 = 76^\circ$ $m\angle2 = 104^\circ$
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in the figure below, $m\\angle 1 = 5x^{\\circ}$ and $m\\angle 2 = (x - …
$m\angle 1 = 80^\circ$ $m\angle 2 = 10^\circ$
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4) matching the relationships between angle pairs are based on their in…
For the first blank (in "Any two angles are ____ if the sum of their measures is \( 90^\circ \)"): If we assume a mis - option and the intended is "complementary" (but not in opti…
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the hypotenuse of a right triangle measures 10 cm and one of its legs m…
The measure of the other leg is approximately \(7.1\) cm.
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6 a straight connecting street segment is built perpendicular to an exi…
$y = -\frac{7}{2}x - 3.7$ or $y = -\frac{7}{2}x - \frac{37}{10}$
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in the figure below, $m\\angle 1 = 3x^\\circ$ and $m\\angle 2 = (x + 68…
$m\angle 1 = 84^\circ$ $m\angle 2 = 96^\circ$
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7) choose the best answer. which is the best definition for vertical an…
The option (let's assume the fourth option is labeled as, for example, D) D. two of adjacent angles whose noncommon sides are two opposite rays that form a straight line (the exac…
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2) choose the best answer. which is the best definition for complementa…
The option (assuming the third option is labeled, for example, C) C. Two angles in which the sum of their measures equals \(90^\circ\)
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6.4. angle and perpendicular bisectors 1. find sv if s is the circumcen…
\( 1.7 \)
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answer the following questions. 1) choose the best answer. which is the…
The correct option is the third one (the option with the text "two angles that share a common vertex and one common side but have no common interior points").
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find the length x.
3
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find the length x.
$2.5$
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question one of the legs of a right triangle measures 1 cm and its hypo…
The measure of the other leg is \(\boldsymbol{17.0}\) cm (or approximately 17.0 cm).
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a scale drawing for a restaurant is shown below. in the drawing, 2 cm r…
$18$
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3. the shapes at right are similar. a. what is the scale factor? b. fin…
a. $\frac{1}{3}$ b. $x = \frac{8}{3}$, $y = \frac{5}{3}$
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an angle measures ((2x + 11)^circ). part a. what is the measure of an a…
A. $(2x + 11)^\circ$ B. $(169 - 2x)^\circ$
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10) 6 in. 2\\frac{1}{5} in. 1\\frac{3}{10} in. sa = v =
Surface Area (SA) = \(47\frac{18}{25}\) square inches Volume (V) = \(17\frac{4}{25}\) cubic inches
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the hypotenuse of a right triangle measures 5 cm and one of its legs me…
The measure of the other leg is \(\boldsymbol{3}\) cm.
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5 a ski resort is building two parallel straight ski slopes for childre…
$s = -4$
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c. then, the robot flips its arms (moves its right arm up and its left …
i. Reflection ii. $g(x) = -x^3$
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1. two vertical angles are labeled as $\\angle c$ and $\\angle d$. the …
B. 12.2
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a scale drawing for a plot of land is shown below. in the drawing, 5 cm…
72
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b. assume that after each dance move, the robot always returns to its o…
i. Translation (specifically horizontal translation) ii. $f(x)=(x+2)^3$
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al 25-26 3.8 lets dance portfolio a. first, the robot will jump straigh…
i. Translation ii. $y = x^3 + 4$
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find the value of x using the figure to the right. x = \\square (simpli…
\( 4 \)
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3. name the angle relationship shown in the diagram. write an equation …
## Angle Relationship: Vertical angles and supplementary angles (straight angle sum) ## Equation: $x + 80 + 60 = 180$ ## $x = 40$
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what is the perimeter of the triangle? units related content intro to t…
24
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a student is given ∠qos ≅ ∠rot and the diagram and asked to prove m∠qor…
4 the subtraction property of equality should be used instead of the subtraction property of congruence
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select the correct answer from each drop - down menu. a student is give…
The reason for statement 4 is not correct because the subtraction property of equality should be used.
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similar figures examples find the scale factor for the images a. b. wri…
## Part 1: a. 3 b. 3 ## Part 2: a. Similarity statement: $ABCD \sim EFGH$; Scale factor: 2 b. Similarity statement: $\triangle ABC \sim \triangle DFE$; Scale factor: 2 ## Part 3: …
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match the mathematicians to their descriptions. regarded as the father …
regarded as the father of geometry $\longleftrightarrow$ Euclid a mathematician who compiled basic geometric facts, or elements, into a textbook $\longleftrightarrow$ Hippocrates …
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it was confusing and frightening, not in a way i could untangle. i was …
He is confused, cautious, and easily upset.
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it was confusing and frightening, not in a way i could untangle. i was …
A. He thinks the fighting is foolish and wasteful.
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select the correct answer. prove: if two angles are supplementary, they…
A. An image showing two separate angles, one acute and one obtuse, that appear to sum to $180^\circ$ but are not adjacent.
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4 determine whether the straight air routes with equations $x - \\frac{…
The lines are intersecting, and the point of intersection is $(-5, -4)$.
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find the value of each variable in the parallelogram. 2m° n° 72° m = n =
$m=36$, $n=108$
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the hypotenuse of a right triangle measures 16 cm and one of its legs m…
The measure of the other leg is approximately \(\boldsymbol{11.6}\) cm.
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in exercises 9 - 30, find the measure of the angle. (the angle number i…
$m\angle9=66^\circ$, $m\angle10=114^\circ$, $m\angle11=66^\circ$, $m\angle12=114^\circ$, $m\angle13=66^\circ$ $m\angle14=137^\circ$, $m\angle15=43^\circ$, $m\angle16=43^\circ$ $m\…
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1. in the diagram below ∠bad is a straight angle. a. describe the angle…
1a. The angles are supplementary (sum to $180^\circ$). 1b. $x = 48$ 1c. $48 + 132 = 180$, which confirms the solution is correct. 1d. $\angle CAD = 132^\circ$ 2. $x = 30$, $\angle…
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find the value of x that makes the quadrilateral a parallelogram. 4x + …
$8$
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the hypotenuse of a right triangle measures 16 cm and one of its legs m…
The measure of the other leg is approximately \(\boldsymbol{11.6}\) cm.
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what type of proofs did they use? candices proof is an indirect proof b…
Candice's proof is an indirect proof because the last statement contradicts given information. Joe's proof is a direct proof because each statement builds on logic from a previous…
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what type of proofs did they use? candice’s proof is a direct proof an …
Candice's proof is an indirect proof because it begins by assuming the opposite of what is to be proved. Joe's proof is a direct proof because it uses a series of logical statemen…
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select the correct answer from each drop - down menu. how are rays and …
1. For the blank defining an angle: rays that extend from a common point 2. For the blank about angle measure and side length: not
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select the correct answer from each drop - down menu. how are rays and …
1. A ray: is part of a line that has an endpoint and extends infinitely in one direction 2. and an angle is two rays that share a common endpoint 3. the measure of an angle is the…
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which statement is not one of the axioms of euclidean geometry? a. give…
D. If two planes intersect, their intersection is a point.
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find the length of the third side. if necessary, round to the nearest t…
\(19.5\)