If you mean to say to find the 11th term, then know that this is an arithmetic sequence (where you have a common difference).
The common difference in this case is -2.
The formula for finding any term in an arithmetic sequence (specifically the explicit formula) is:
where a_n is the term, a_1 is the first term, n is the term number (position) and d is the common difference.
Let's substitute the corresponding values to the formula.
The 11th term is -17.
There are several information's of immense importance already given in the question. Based on those information's the answer can be easily deduced.
Area of the rectangular rug = 35/4 square meters
Length of the rug = 7/2 meters
Let us assume the width of the rug = x meters
Then
Area of the rug = Length * width
35/4 = (7/2) * x meters
x = (35/4) * (2/7) meters
= 5/2 meters
So the width of the rectangular rug is 5/2 meters.
Answer:
x = 21.5
Step-by-step explanation:
In the given trapezoid, the angles are consecutive interior angles.
i.e, consider the parallel sides of a trapezoid as parallel lines and the common side as the transversal. So, it is parallel lines cut by a transversal make a pair of consecutive interior angles which are supplementary.
i.e,
(5x + 13)° + (3x - 5)° =180°
5x + 13 + 3x - 5 = 180
8x + 8 = 180
8x = 180 - 8 =172
x= 172/8 = 21.5
So, 5x + 13 = 5(21.5) + 13 = 120.5°
3x - 5 = 3(21.5) -5 = 59.5°