Question: 7 A regular polygon has 10 sides.
Calculate one interior angle of the polygon.
6 A sequence has an nth term of n/4
Find the 40th term in this sequence.
7 Ahmed wants to find out the amount of money
food is the most popular.
Give one example of quantitative data he sho
8 Work out.
top-left: a black cable curves across the top of the page.User: Do 7-6
1. **Problem 7: Calculate one interior angle of a regular polygon with 10 sides.
The formula for the measure of one interior angle of a regular polygon with $n$ sides is:
$$\text{Interior angle} = \frac{(n-2) \times 180^\circ}{n}$$
2. Substitute $n=10$:
$$\text{Interior angle} = \frac{(10-2) \times 180^\circ}{10} = \frac{8 \times 180^\circ}{10}$$
3. Calculate numerator:
$$8 \times 180^\circ = 1440^\circ$$
4. Simplify fraction:
$$\frac{1440^\circ}{10} = 144^\circ$$
**Answer:** One interior angle of the polygon is $144^\circ$.
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1. **Problem 6: Find the 40th term of the sequence with nth term $\frac{n}{4}$.
The nth term formula is:
$$a_n = \frac{n}{4}$$
2. Substitute $n=40$:
$$a_{40} = \frac{40}{4}$$
3. Simplify fraction:
$$\cancel{\frac{40}{4}} = 10$$
**Answer:** The 40th term in the sequence is $10$.