The shorter piece should be 19 inches.
What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34
1 answer:
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Answer:
Step-by-step explanation:
The original expression given in the text is
(1)
And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:
(2)
Let's verify each of the other expressions separately. For the first one:
We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get
Which is equivalent to (1).
For the 2nd one:
This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.
If we write it explicitely in fact, we get
Which is different from (2).
For the 3rd one:
This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:
Answer:
Step-by-step explanation:
we know that
If triangles EFG and QRS are similar
then
the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG
so
Let
x-------> the smallest side of triangle QRS
y-------> the smallest side of triangle EFG
z-------> the scale factor
we have
substitute the values
Find the length of the longest side of QRS
The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG
so