Help! How do I solve this??
1 answer:
Answer:
Step-by-step explanation:
124 degree angle and "3a - 2b" angle are supplementary (in a straight line -- add upto 180 degrees). So we can say and write:
124 + "3a - 2b" = 180
3a - 2b = 180 - 124
<u>3a - 2b = 56</u>
<u></u>
Now,
"2a + 3b" and "3a - 2b" are also supplementary. So we can write:
2a + 3b + 3a - 2b = 180
<u>5a + b = 180</u>
<u></u>
Lets solve this 2nd equation for b:
5a + b = 180
b = 180 - 5a
We put this into 1st equation and solve for a:
3a - 2b = 56
3a - 2(180 - 5a) = 56
3a - 360 +10a = 56
13a = 56 + 360
13a = 416
a = 416/13
a = 32
Now, finding b:
b = 180 - 5a
b = 180 - 5(32)
b = 20
So,
a = 32, b = 20
You might be interested in
Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim
<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>
<em />
To show that a statement is true, you need evidence.
Take for instance:
The evidence that the above proof is true is by taking the <em>squares of both sides of </em>
However, a counterexample does not need a proof per se.
What a counterexample needs is just an instance or example, to show that:
An instance to prove that: is false is:
Hence, the complete statement could be:
<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>
<em />
Read more about evidence and counterexample at: