Answer:
A, C, D
Step-by-step explanation:
When lines are parallel, alternate interior angles at a transversal (5 & 6) are congruent, as are corresponding angles (2 & 3), (2 & 4). The converse is also true: congruent angles mean the lines are parallel.
Angles 2 & 3 are corresponding angles at the transversal <em>r</em> if lines <em>p</em> and <em>q</em> are parallel, so their congruence will guarantee that those lines <em>are</em> parallel. (choice A)
Angles 2 & 4 are corresponding angles at the transversal <em>q</em> if lines <em>r</em> and <em>s</em> are parallel, so their congruence will guarantee that those lines <em>are</em> parallel. (choice C)
Angles 5 & 6 are alternate interior angles at the transversal <em>p</em> if lines <em>r</em> and <em>s</em> are parallel, so their congruence will guarantee that those lines <em>are</em> parallel. (choice D)
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Angles 5 and 7 have no common side, so their congruence does not guarantee anything about the lines that create them. Choice B is not applicable.
Answer: m∠
Step-by-step explanation:
1. By definition, the adjacent angles of a parallelogram are supplementary, they add up 180 degrees. Therefore, in the given parallelogram:


2. Then, you must solve for x, as following:


3. Substitute the value of x obtained into
to calculate the angle M:

Then:
m∠
4. By definition the opposite angles of a parallelogram are equal, therefore:

Answer:
A = 78.5 cm^2
Step-by-step explanation:
The diameter is 10 so the radius is 1/2 of the diameter
r =1/2d = 1/2(10) = 5
The area of a circle is
A = pi r^2
A = 3.14 (5)^2
A = 78.5 cm^2




and so on, so that the Taylor series about
takes the form

The ratio test gives

which means the series converges everywhere, so the radius of convergence is infinite.