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Vika [28.1K]
3 years ago
13

Classify the flowing triangle

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer:

B, C

Step-by-step explanation:

Let's go through each one to see which is valid

A: Isosceles triangles must have at least 2 sides of the same length. In this case all 3 sides are different. Hence A is NOT valid.

B. Obtuse triangles have one angle which is greater than 90 degrees. In this case, we have one angle greater than 90 degrees (i.e 120 deg). Hence B is valid.

C. Scalene triangles have sides whose lengths are all different. We see this evident in our triangle here. So C is valid.

D. Right triangles must have one angle exactly equal to 90 degree. We do not see this here. So D is NOT valid.

E. Equilateral triangles have 3 sides exactly the same length.We do not see this here. So E is NOT valid.

F.Acute triangles have all angles less than 90 degrees. Here we obviousy have one that is greater than 90 degrees (i.e 120 degrees) hence F is NOT Valid.

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Answer:

-103

Step-by-step explanation:

So we have the sequence:

14, 11, 8, 5...

First, note that this is an arithmetic sequence because there is a common difference.

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To find the 40th term, we can write an explicit formula.

The standard form for an explicit formula for an arithmetic sequence is:

x_n=a+d(n-1)

Where a is the initial term, d is the common difference, and n is the nth term.

We know that the initial term is 14. The common difference is -3 because each term is <em>minus</em> 3 the previous one.

Substitute in a and d:

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We want to find the 40th term. So, substitute 40 for n:

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Subtract:

x_{40}=14-3(39)

Multiply:

x_{40}=14-117

Subtract:

x_{40}=-103

So, the 40th term is -103.

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