In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
Answer:
a = 6, b = -2, c = 3
Step-by-step explanation:
6x² - 2x + 3 = 0
a = 6, b = -2, c = 3
1.When all the three cut outs of the angles A, B, C placed adjacent to each other at a point, then it forms a line forming a straight angle, i.e. 180°.
Flence, it is proved that the sum of the three angles of a triangle is 180°.
Therefore, ∠A + ∠B + ∠C =180
First attachment = 3
Second attachment = -7
Third attachment = 25
Answer:
108º
Step-by-step explanation:
to find the sum of interior angles: ( n − 2 ) × 180 = x
x = 540º
n = # of interior angles
first, solve for n
(n - 2) • 180 = 540 distribute to 180 to (n - 2)
180n - 360 = 540 add 360 to both sides
180n = 900 divide both sides by 180
n = 5
to find measure of each angle:
540 ÷ 5 = 108º
