Answer:
<em>Similar: First two shapes only</em>
Step-by-step explanation:
<u>Triangle Similarity Theorems
</u>
There are three triangle similarity theorems that specify under which conditions triangles are similar:
If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).
If the three sides are in the same proportion, the triangles are similar (SSS theorem).
If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).
The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.
The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.
The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar
D is the correct equation for this problem.
You first have to equalize all of the denominator
2/3 will be equal to : 8/12
Total of their practice time would be :
11/12 + 8/12 = 19/12 hours
Hope this helps
I'm going to assume that you are trying to find the two numbers. Based on the information in the problem, we can create the following equations (where 
and 
are the two numbers):
We have a systems of equations. In this case, it would be easier to use elimination by adding vertically. This produces the result:
To find , substitute the value for into one of the earlier equations:
The two numbers are 12 and 18.
Answer: A
Step-by-step explanation:
Just took the test
