Answer:
108 th term is zero
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 99 and a₉₉ = 9 then
a₁ + 8d = 99 → (1)
a₁ + 98d = 9 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 90d = - 90
90d = - 90 ( divide both sides by 90 )
d = - 1
Substitute d = - 1 into (1) for value of a₁
a₁ + 8(- 1) = 99
a₁ - 8 = 99 ( add 8 to both sides )
a₁ = 107
Then
107 - (n - 1) = 0
107 - n + 1 = 0
- n + 108 = 0 ( subtract 108 from both sides )
- n = - 108 ( multiply both sides by - 1 )
n = 108
The 108th term is zero
Answer:
waffaafa
Step-by-step explanation:
awfafafafafaf
Rewrite 42 as 42.0 and act like it is a question of division of 420 by 241. do with long division as usual, but at the end make sure to place a decimal point at the same position
Y=-2x+b
1=-2*(1)+b
1=-2+b
B=1+2=3
Y=-2x+3
2x+y-3=0
Answer:
Option D (180°-m∠2)
Step-by-step explanation:
we know that
m∠1+m∠2=180° ------> equation A (by supplementary angles)
m∠3+m∠2=180° ------> equation B (by supplementary angles)
m∠1=m∠3 -----> equation C (by vertical angles)
Solve for m∠1 in equation A
m∠1=180°-m∠2
Remember that
m∠1=m∠3
so
m∠3=180°-m∠2
therefore
m∠1=180°-m∠2
m∠3=180°-m∠2
The expression that represent the measure of both angle 1 and angle 3 is
(180°-m∠2)