Step-by-step explanation:
the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.
also, remember, all angles inside a triangle always sum up to 180°.
so, the third inner angle of the triangle is
180 - 90 - 40 = 50°.
that makes z = 180 - 50 = 130°
and y = 180 - 40 = 140°.
Answer:
a. of the central limit theorem.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a large sample size, larger than 30, can be approximated to a normal distribution with mean and standard deviation 
In this problem, the sample size is 100, so it is sufficiently large to use the Central Limit Theorem. The mean of the sample in 69 and the standard deviation of the sample is 0.58.
So the correct answer is:
a. of the central limit theorem.
9514 1404 393
Answer:
∠RTU≅∠TQS
Step-by-step explanation:
To show TU ║ QS, the angles made by transversal RQ with each of those segments must be shown to be congruent. That is, it must be true that ...
∠RTU≅∠TQS
Multiplying out the expression, you get
2x^2 -(1/3)x . . . . . . matches selection D
