The angle between the 10-unit sides is 34.8 degrees. What is the angle measure
2 answers:
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Cross-multiply so that 8(3x + 1) = 14(2x)
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be , we proceed to show the appropriate procedure to step 4:
1) Given
2) Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
. If
, then:
But if , then:
Hence, correct answer is A.
Answer:
Step-by-step explanation:
One is given the following function:
One is asked to evaluate the function for , substitute
in place of
, and simplify to evaluate:
A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:
Where () is the evaluator term (
) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,