Answer: the ordered pair negative 3 over 8, negative 5 over 8
Step-by-step explanation:
<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;

Substituting the values, we get;

Cross multiplying, we get;


Dividing both sides by 27, we have;

Thus, the value of x is 
Hence, Option D is the correct answer.
Answer:
The 6th term of the sequence is 25
Step-by-step explanation:
first term = a = 5
common difference = d = 4
The nth term of a sequence is
T_n = a + (n - 1)d
Therefore, the 6th term of the sequence is
T_6 = a + (6 - 1)d
T_6 = a + 5d
T_6 = 5 + 5(4)
T_6 = 5 + 20
T_6 = 25