Hello from MrBillDoesMath!
Answer:
75
Discussion:
A plane triangle has 180 degrees. Using this in the diagram gives
x + 81 + angle BAC = 180 (***)
(The diagram is a bit fuzzy but I think the above numbers are accurate)
The diagram also shows that (156 + angle BAC )= 180 as a straight line has 180 degrees. So
angle BAC = 180 - 156 = 24
Substituting this in (***) above gives
x + 81 + 24 = 180 =>
x + 105 = 180 => (as 81 + 24 = 105)
x = 180 107 = 75
Check: Does
x + 81 + angle BAC = 180 ?
75 + 81 + 24 = 180. Yes
Thank you,
MrB
Answer:
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Step-by-step explanation:
9514 1404 393
Answer:
$41,977.60
Step-by-step explanation:
Allison's average salary for the last 5 years is ...
(70 +73.1 +75.2 +77.5 +79)/5 = 74.96 . . . . thousand dollars
Then her annual pension is ...
1.75% × $74,960 × 32 = $41,997.60
Answer:
4200000
Step-by-step explanation:
Hey there!
To solve this, we can use division. First, lets turn
into an improper fraction:

So, we have

We can multiply by the reciprocal:

That gives us

Hope it helps and have a great day!