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AveGali [126]
2 years ago
5

How did you find six things in triangle

Mathematics
1 answer:
AVprozaik [17]2 years ago
7 0
Sorry it's a bit messy. but I hope you understand and it will help

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34
Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0
3 years ago
What does n equal to in 12n + 9 = 6 - 3n
sveticcg [70]
12n+9=6-3n\ \ \ \ \ \ |Add\ 3n\ to\ each\ side\\\\
15n+9=6\ \ \ \ \ |Subtract\ 9\\\\
15n=-3\ \ \ \ \ |Divide\ by\ -15\\\\
n=-\frac{3}{15}=\boxed{-\frac{1}{5}}
6 0
3 years ago
How to show opposite sides on a parallelogram are congruent
Marta_Voda [28]

Answer:

I am attaching a image to understand my proof.

Step-by-step explanation:

PROVE:-

AB = DC

AD = BC

∠ ABD = ∠ BDC        (alternate angles are equal )

∠ DBC = ∠ ADB         (alternate angles are equal )

∴ Δ ADB ≅ Δ CBD     ( by ASA rule )

DC = BA                       ( corresponding sides of ≅ Δ )

AD = CB                        ( corresponding sides of ≅ Δ )

Hence it is proved that opposite sides of parallelogram are congruent )

8 0
3 years ago
If anyone knows the answer to these can u please help? thank you! :)
Dennis_Churaev [7]

Answers:

  • A) Ray QS or Ray QR
  • B)  Line segment QS or SQ
  • C)  Plane QSR
  • D)  Line QS or RQ

=======================================================

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

--------------------

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

--------------------

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

--------------------

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.

  1. Line QR
  2. Line QS
  3. Line RQ
  4. Line RS
  5. Line SQ
  6. Line SR
4 0
2 years ago
How many times can 0.3 be found in 900​
Alina [70]

Answer:

300

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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