Quadrilateral ABCD is similar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 4
0 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 4th side on quadrilateral ABCD?
2 answers:
Answer: 15 feet
Step-by-step explanation:
Given: Quadrilateral ABCD is similar to quadrilateral EFGH.
If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long.
Let x be the shortest side of quadrilateral ABCD .
The measurement of sides of quadrilateral ABCD arranged in order :-
60 feet , 40 feet, 30 feet and x feet.
We know that the corresponding sides of two similar polygons are proportional.
⇒ The two shortest sides of quadrilateral ABCD is proportional to the two proportional sides of quadrilateral EFGH.
⇒
Hence, the length of the 4th sides of quadrilateral ABCD = 15 feet.
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A polynomial is said to be in standard form if it is written in the order of degree from highest to lowest from left to right.
The degree of a term of a polynomial is the exponent of the variable or the sum of the exponents of the variables of that term of the polynomial.
Thus, given the expression
has a degree of 6, and
has a degree of 6.
Thus, the exponent of the variable or the sum of the exponents of the variables of the next term of the polynomial must be less than or equal to 6 for the polynomal to be said to be in standars form.
Therefore, the <span>terms that could be used as the last term of the given expression to create a polynomial written in standard form are
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The degree of a term of a polynomial is the exponent of the variable or the sum of the exponents of the variables of that term of the polynomial.
Thus, given the expression
Thus, the exponent of the variable or the sum of the exponents of the variables of the next term of the polynomial must be less than or equal to 6 for the polynomal to be said to be in standars form.
Therefore, the <span>terms that could be used as the last term of the given expression to create a polynomial written in standard form are