Answer:
a) linear pair angles: 1&2, 2&3, 3&4, 1&4... etc (any angles that are adjacent, or right next, to each other that add up to be 180 degrees)
b) All linear pair angles are adjacent angles but not all adjacent angles are linear pairs. So pick any linear pair angle you got because they will always be adjacent. (1&2, 2&3, 3&4, 1&4... etc)
c) vertically opposite angles: 1&3, 2&4, 5&7, 6&8, 9&11, 10&12
Step-by-step explanation:
Answer: it’s between A or C. Most likely to be C
Answer:
The value of the test statistic is 4.70.
Step-by-step explanation:
The hypothesis for this test can be defined as follows:
<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.
<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.
The population standard deviations are not known.
So a <em>t</em>-distribution will be used to perform the test.
The test statistic for the test of difference between mean is:

Given:

Compute the value of the test statistic as follows:

Thus, the value of the test statistic is 4.70.
Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)
You should already know this:

You should also know this:

So plugging in both of those into our identity, we get:

Simplify the denominator on the LHS (Left Hand Side)
We get:

LHS = RHS
Therefore, identity is verified.