Step-by-step explanation:
the side on the left of 155 is 180-155 which is 25
the one on top of 120 is 180-120 which is 60 so the one on the right of x is 180-(25+60) which is 95
now the value of x is 180-95 which is 85.
in the second one x=180-100 because the angle on the bottom of x is corresponding to the one that's equal to 100, so x=180-100 which is 80
for the first one x=85
the second one x=80
Answer:
The answer is <em>1</em>.
Step-by-step explanation:
Given the expression:

To find:
The expression without absolute value.
Solution:
First of all, let us learn about the absolute value function:

i.e. value is x if x is positive
value is -x if x is negative
Here the given expression contains two absolute value functions:
and 
Using the definition of absolute value function as per above definition.


Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6
So, given expression
will be equivalent to :

So, the expression is equivalent to <em>1</em>.
Answer:
$7,544.58
Step-by-step explanation:
We will use the compound interest formula provided to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.3% into its decimal form:
3.3% ->
-> 0.033
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:


The balance after 1 year will be $7,544.58
For 5 and 6 : 5 would be 144 when you put 3 in the position of the t . And 6 would be 1,024 when you put 8 where the t is .
Well you do 228/12 to find your answer and that is 19 and to check you do 12*19=228