A) 1/3 B) 2/3 C) what is it asking D) 1/3 E1/3
For the first triangle, I believe the given angles are 85 and 53. If I am incorrect, please let me know and I'll resolve it.
The answer for 1 would be 42.
2nd triangle- 69 is the missing angle measurement.
3rd- 64 degrees.
4th- 53
The reasoning behind all of these: The total of all three interior angles should be 180 degrees. So when you add the two GIVEN angles, and subtract that from 180, this answer is your missing angle.
(Also, for any other site or anything, it might be best to block out your name)
Answer:
4 = 22
Step-by-step explanation:
Factor 40 into its prime factors
40 = 23 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 22
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x4)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x4) = x2
sqrt (40x4) =
2 x2 • sqrt(10)
Simplified Root :
2 x2 • sqrt(10)
