Answer:
see explanation
Step-by-step explanation:
the sequence is linear, that is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₈ = 18 and a₁₂ = 26 , then
a₁ + 7d = 18 → (1)
a₁ + 11d = 26 → (2)
subtract (1) from (2) term by term to eliminate a₁
4d = 8 ( divide both sides by 4 )
d = 2
substitute d = 2 into (1) and solve for a₁
a₁ + 7(2) = 18
a₁ + 14 = 18 ( subtract 14 from both sides )
a₁ = 4
then
a₂₀ = 4 + (19 × 2) = 4 + 38 = 42
The value of x in the triangles is 9.0
<h3>How to determine the value of x?</h3>
The given parameters are:
Triangle ABC is congruent to triangle DEF.
DE = 41,
EF = 23,
DF = 36
AC = 5x − 9
Side AC corresponds to DF
So, we have
5x - 9 = 36
Add 9 to both sides
5x = 45
Divide by 5
x = 9.0
Hence, the value of x is 9.0
Read more about congruent triangle at
brainly.com/question/1675117
#SPJ1
Answer:
3 stamps
Step-by-step explanation: 42 stamps in equal groups would be 6 stickers/group.
6+3 = 9 stickers in each pile
there was 7 piles so multiply 7 by the 9 stickers in each pile
7· 9 = 63
5 · 12 = 60, so she gave her friends 60 stickers
63-60 = 3
Answer:
7 hours
y = 0.002 (3500)
y = 7
Step-by-step explanation: