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Nataly [62]
3 years ago
14

According to Euclidean geometry, a plane contains at least____points that___on the same line.

Mathematics
2 answers:
LiRa [457]3 years ago
7 0
Three points not all on the same line
Debora [2.8K]3 years ago
4 0

Answer with explanation:

⇒Euclidean geometry deals with Axioms, and Postulates of Geometry. These are Universally true statement of math(Geometry) which do not require any Proof.

⇒   According to Euclidean geometry, a plane contains at least Three points that Do Not lie on the same line.

⇒The correct definition of Plane is , if two points lies on the plane then the  line joining two points should completely lie on the Plane.

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Answer:

\large \boxed{n = \dfrac{13}{3}; YZ = \dfrac{5}{3}}}

Step-by-step explanation:

I think you have the situation shown in the diagram below.

1. Calculate the value of n

\begin{array}{rcl}XY + YZ & = & XZ\\4n+ 3 + 2n - 7 & = & 22\\6n - 4 & = & 22\\6n & = & 26\\n & = & \dfrac{26}{6}\\\\& = & \mathbf{\dfrac{13}{3}}\\\end{array}\\\large \boxed{\mathbf{n = \dfrac{13}{3}}}

2. Calculate the value of YZ

\begin{array}{rcl}YZ & = & 2n - 7\\& = & 2\left (\dfrac{13}{3}\right ) - 7 \\\\& = & \dfrac{26}{3} - 7\\\\& = & \dfrac{26}{3} - \dfrac{21}{3}\\\\& = & \dfrac{5}{3} \\\\\end{array}\\\large \boxed{YZ = \mathbf{ \dfrac{5}{3}}}

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Answer:

the answer is 7 miles

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