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:
Step-by-step explanation:
<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>
- ∠F = ∠Q
- (2x + 10)° = (3x + 1)°
- 3x - 2x = (10 - 1)°
- x = 9°
<u>Then, the angle Q measures:</u>
Answer: Ann read 34 pages that day
Step-by-step explanation:
Ann reads 10 pages of her book everyday
And with every free minute she has she can read 2 pages
With 12 free minutes that day we do the following:
Multiply 12 by 2 to get the number of pages she reads in that free time which equals 24.
Then we add that 24 to the 10 pages she will read regardless.
Which leaves us with 34 pages.
Hope This Helps! :)
Answer: 115°
Step-by-step explanation:
We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:
(8x - 5) + (2x) + (3x - 10) = 180
8x - 5 + 2x + 3x - 10 = 180
Collect like terms
8x + 2x + 3x = 180 + 5 + 10
13x = 195
x = 195/13
x = 15
The angles are:
8x - 5 = 8(15) - 5 = 120 - 5 = 115°
2x = 2(15) = 30°
3x - 10 = 3(15) - 10 = 45 - 10 = 35°
Therefore, the largest angle is 115°
Subtract 7.50 - 4.00 and dived that answer by 10
