Answer:
4
Step-by-step explanation:
a+16=20
a=20-16
a=4
Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term

Plug in
and you should get the following:

The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in
which shifts everything one spot to the left.
Answer:
m<A = 84
AC = 9
Step-by-step explanation:
We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.
48+48+A=180
96+A=180
A=84
We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.
Answer:
area of the figure: 29.92 m²
formula's:
- area of rectangle: length * width
- area of sector: ∅/360 * πr²
solving steps:
area of rectangle + area of sector
5.5 * 4 + 30/360 * π(5.5)²
22 + 7.919
29.92 m²