If two line crosses, then the vertical angles are the angles opposite each other. In this way, these angles share the same vertex. So, the vertical angles are always equal. Therefore, in this problem, the right answers are:
1. ABE and CBD
Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.
2. ABC and EBD
The same reasoning is applied here. The vertex is also B. Notice that <em>the angles CBD and ABD add up to 180 degrees. </em>
Answer:
The dog is 20 inches tall now.
Step-by-step explanation:
Given that:
Height of dog when it was a puppy =
inches
Height of dos now =
than previous height
It means that we will add this height in the height of dog when it was a puppy.
Height of dog now = 
Height of dog = 
Height of dog = 20 inches
Hence,
The dog is 20 inches tall now.
Answer:
y² + y +
= (y +
)²
Step-by-step explanation:
In most cases, we can factor a polynomial, or quadratic, by looking at the factors of the last term. In this case, the last term is
. When we factor a polynomial, we are looking for two expressions that when multiplied together using FOIL (forward-outside-inside-last) will give us the polynomial. For example: (a + b)(a + b) or (a+ b)².
In order to get y² + y +
, we are looking for a 'c' value that will add up to '1' which is our 'b' value (ay² + by + c).
Since 
Then, we can use
as our factor for both expressions. Putting this together we get: (y +
)(y +
) or (y +
)²