Answer:
The answer is A, the measure of angle Z is 45°.
Step-by-step explanation: According to base angle theorem for iscoscles triangles, the base angles must be the same angle measure if the sides opposite to them are congruent. Since it is an iscoceles triangle, they are automatically congruent. This means that Y is 90 degrees. This fits into triangle sum theorem because if Z is 45 degrees, than x is also 45 degrees making a viable triangle. This means that this is the only one that actually applies. B is wrong because of triangle sum theorem, C is wrong because of triangle sum theorem, and D is wrong because of the SSS postulate and CPCTC.
13.4 = 13.40
This is because the 0 at the end is a trailing decimal, and so when testing for inequalities, you can simply disregard it.
Answer:
Step-by-step explanation:
We can set up the following equation:

where
is the total number of shapes on Abigail's paper.
Let's first multiply both sides by
:

Next, let's multiply both sides by
:

Finally, let's divide both sides by
:

18
6x12=72
1/3 of 12 = 4
72 divided by 4 is 18
Answer:
21
Step-by-step explanation: