There are 100 cm in a meter, so John's father would be 200 cm tall.
F(x) and g(x) were inverse functions, then if f(a) = b, then g(b) = a
f(x) = (5x+1) / x g(x) = x / (5x+1)
f(1) = 6, but g(6) = 6/31 ≠ 1
So, f(x) and g(x) are NOT inverse functions.
Answer: Phillip is correct. The triangles are <u>not </u>congruent.
How do we know this? Because triangle ABC has the 15 inch side between the two angles 50 and 60 degrees. The other triangle must have the same set up (just with different letters XYZ). This isn't the case. The 15 inch side for triangle XYZ is between the 50 and 70 degree angle.
This mismatch means we cannot use the "S" in the ASA or AAS simply because we don't have a proper corresponding pair of sides. If we knew AB, BC, XZ or YZ, then we might be able to use ASA or AAS.
At this point, there isn't enough information. So that means John and Mary are incorrect, leaving Phillip to be correct by default.
Note: Phillip may be wrong and the triangles could be congruent, but again, we don't have enough info. If there was an answer choice simply saying "there isn't enough info to say either if the triangles are congruent or not", then this would be the best answer. Unfortunately, it looks like this answer is missing. So what I bolded above is the next best thing.
34 tens + 20 tens = ?
1 ten = 10 ones or 10.
34 + 20 = 54
54 tens
34 tens + 20 tens = 54 tens
54 × 10 = 540
34 tens + 20 tens = ?
34 tens + 20 tens = 54 tens
34 tens + 20 tens = 540
The practical domain is all real numbers from 4 to 9, inclusive.
The practical range is all real numbers from 49.6 to 111.6, inclusive.
These are the correct options.
Explanation:
Given function is f(t) = 12.4t
Let us assume that Nate works 'x' hours so 4<x<9
And multiplying the hours with his earnings we get the range.
4*12.40=49.6 and 9*12.40=111.6. Let the amount earned be represented by y
Hence, domain can be represented as 4<x<9 and range can be represented as 49.6 < y < 111.6
