Answer:
b is 10 degrees and a is 64 degrees.
Step-by-step explanation:
Properties of a parallelogram needed for this problem: Opposite angles are congruent and adjacent angles are supplementary, meaning they add to 180 degrees.
This means that in the picture, 2a and 12b+8 are equal, while 2a and 5b+2 are supplementary.
From this we can make two equations:
2a=12b+8
and
2a+5b+2=180
If we subtract 5b+2 in the second equation, both equations will equal 2a. I'll explain why that's good. We end up with:
2a=12b+8
and
2a=180-5b-2
Now, we can set the two equations equal to each other because they both equal the same thing. Then simplify.
12b+8=180-5b-2
17b=170
b=10
Knowing b is 10 degrees, we can easily plug that back into one of our original two equations. I'll choose 2a=12b+8.
2a=12(10)+8
2a=120+8
2a=128
a=64
b is 10 degrees and a is 64 degrees.
Quadrant 2 is its location.
Answer:
8,912,000
Step-by-step explanation:
multiply the parentheses first then multiply 89.12 by that
Answer:
Step-by-step explanation:
Given this function:
We need to find the value of:
This is really simple because the problem give us the following data:
Using this data we can write a 2x2 system of equations like this:
Let:
and
Our system will be:
We can solve this system using different methods, however I will use elimination method because I believe it is really simple. So:
Replacing 
into (1)
Now we found the values of and 
, our function is given by:
Let's verify it:
As you can see the function satisfies the data provided by the problem. So we can conclude that it is correct.
Finally, let's find 
for 
:
Hence:
