∠ABC = ∠CDA (given)
∠BCA = ∠DAC (given)
CA = AC (common side)
ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.
Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.
Therefore, △ABC ≅ △CDA under the ASA congruence criterion.
Given:
The given expression is:

To find:
The single logarithm expression for the given expression.
Solution:
Quotient property of logarithm:

We have,

Using quotient property of logarithm, we get


Therefore, the required expression is
.
5(x² + 6x + 10)
That's the best way to factor it
Answer:

Step-by-step explanation:
Use synthetic division:
-6 | 2 8 -25 -6 14
<u>____-12_24_ 6_ 0</u>
2 -4 -1 0 | 14
-6 comes from x+6=0 where x=-6
We drop the first number 2 and multiply it by -6. We then combine 8 and -12 to get -4. We repeat this process until the last column. The answer will be in coefficients with a remainder if there is one.
Therefore, the correct answer is
.