4, 12, and 18 in two different ways
<span>(4 + 12) + 18 = 16 + 18 = 34
4 + (12 + 18) = 4 + 30 = 34
answer is B) </span><span>(4 + 12) + 18 = 16 + 18 = 34; 4 + (12 + 18) = 4 + 30 = 34 (second choice)</span>
On Monday, 11 lunches and 10 desserts are ordered. On Friday, 10 lunches and 10 desserts are ordered.
Answer:

Step-by-step explanation:
In the question, we're given
. Therefore, the measure of these two angles must be equal.
To find the value of
, set these two angles equal to each other:

Add 26 and subtract
from both sides:

Divide both sides by 3:

Since
was labelled as
, substitute
to find its measure:

You can also substitute
into the label of angle D as angle A is congruent to angle D for easier calculations (
).
a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number
might be confusing so here's an example
1,2,4,8,16
each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio
formula for geometric sequence is

where
is nth term
is first term
r is teh common ratio
n=which term
in our example
1,3, 9, 27, 81
each term is being multiplied by 3 so it is a geometric sequence and thus r=3
also first term is 1 so 
so the formula is
or in function notation 
Let x be the months and y be the cost.
Rate of increase of commodity A = 6/3 = $2 per month
Equation:
y = 2x + 4500
Rate of increase of commodity B = 2/4 = $0.5 per month
Equation:
y = 0.5x + 5400
Equating the costs,
2x + 4500 = 0.5x + 5400
1.5x = 900
x = 600 months
x = 600 / 12 = 50 years