Answer:
d = 
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 a₉ = 16 , then
- 12 + 8d = 16 ( add 12 to both sides )
8d = 28 ( divide both sides by 8 )
d = 
=
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
Answer:
7.5KG
Step-by-step explanation:
Answer: 7/12 lbs
A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 3/4 lb to make a cake. How much sugar does she have left?
Answer:
Step-by-step explanation:
2c+12t=105, and 5c+3t=33, subtracting 4 times the second from the first gives you
2c+12t-20c-12t=105-132
-18c=-27 dividing each side by -18
c=1.5, making 2c+12t=105 become
2(1.5)+12t=105
12t=102
t=8.5
So each chair costs $1.50 and each table costs $8.50
