Only the second set of measures qualifies as angle measures of a triangle. Angles 25°, 130°, 25°
Step-by-step explanation:
- Step 1: To find whether angles qualify as angle measures of a triangles, calculate their total sum and verify whether they add up to 180°
Set 1 - 41° + 112° + 52° = 205°
Set 2 - 25° + 130° + 25° = 180°
Set 3 - 30° + 40° + 90° = 160°
Set 4 - 132° + 141° + 31° = 304°
Therefore, only set 2 qualifies.
Answer:
21 hours
Step-by-step explanation:
You and your friend swam for 10 hours then took a break then swam for 11 so 10+11=21 so you and your friend swam for 21 hours all together.
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Forty three million, eighty thousand, seven hundred