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Serhud [2]
3 years ago
12

Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

5.8

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

\frac{31}{43}=\frac{\text{KI}}{8}

Solving, we get:

\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}

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Answer:

In summary, "the next three terms" are {-16, -21, -26}

Step-by-step explanation:

Note that the common difference separating the terms of 4, -1, -6, -11, ... is -5.  Each new term is found by combining the previous term with -5.

Thus, the applicable formula is a(n) = 4-5(n-1).

We should test this.  Take the term -6 and determine whether or not this formula correctly predicts the next term:  -11:

a(4) = 4-5(4-1) = 4 - 5(3) = 4 - 15 = -11 (yes).

We have the first four terms and need the 5th, 6th and 7th terms.

The fifth term, a(5), is 4-5(5-1) = 4-20 = -16

The sixth term is a(6) = 4-5(6-1) = -21

The seventh term is a(7) = 4 -5(6) = -26

In summary, "the next three terms" are {-16, -21, -26}

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