Answer:
B. is exactly 1 triangle
Step-by-step explanation:
For any given triangle, the sum of the internal angles is 
. Thus from the given question, adding the given angles;
30° + 70° + 80° =
Therefore, only one triangle can be produced with the given measure of angles. This implies that there is exactly one triangle. So that the correct option is B.
2x^2+9x-6 i found this by subtracting 3x^2+7x from the other equation
Answer: 
<u>Step-by-step explanation:</u>
Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.
Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =
Therefore, probability of rolling a 6 and tossing a head =
Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.
We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.
We combine like terms to get 3x-20000=211000.
We add 20000 to both sides to get 3x=231000.
We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.
Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.
