Answer:
= 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
15: the red tiles are triangle, blue tiles are pentagons
Answer:
The perimeter of EFGH is 30.5
Step-by-step explanation:
figure ABCD is similar to figure EFGH (hence the ~ sign)
A -> B= <u>12</u>
B -> C= <u>12 </u>
C -> D= <u>12</u>
A -> D= <u>25</u>
EFGH has sides that are half of the size of ABCD
there are two ways you can solve this:
A) divide the perimeter of ABCD by 2 (making it half)
61 / 2 = 30.5
or
B) adding all of the sides together
E -> F =6 so therefore so do F-> G and G -> H
6 + 6 + 6 + 12.5 = 30.5
Answer:
yes
Step-by-step explanation:
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