5 times the complement of an angle is 15 more than two times the supplement of the angle. Find the angle,
1 answer:
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Answer:
C
Step-by-step explanation:
Let length of rectangle be "l"
Let width of rectangle be "w"
We know,
LENGTH is 2 MORE THAN WIDTH, we can write:
l = w + 2
Also, note the perimeter is the sum of all 4 sides of a rectangle, thus:
length + width + length + width
Now,
The perimeter is given as 72, so we can write:
l + l + w + w = 72
2l + 2w = 72
We have 2 equations that we need to solve and find the length (l).
The first equation is:
l = w + 2
Rearranging, we have:
w = l - 2
We put this into 2nd equation and find the value of l:
The length is 19 meters, the correct answer is C
Answer:
<u>There are 17 terms in the sequence</u>
Step-by-step explanation:
<u>Arithmetic Sequence </u>
An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:
Where an is the nth term, a1 is the first term, and r is the common difference.
In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:
We need to express r as an improper or proper fraction:
Substituting:
n=17
There are 17 terms in the sequence