Answer:
6
Explanation:
According to secant-secant theorem,
(PB)(PA)=(PD)(PC)
(7)(12)=(PD)(14)
NOW
84/14 = PD
PD = 6
Answer:

Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:



Answer:
13
Step-by-step explanation:
ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.
In this case the scale factor is 1/2. That means DEF is half ABC.
Since AB = 26 then DE must be 26/2 = 13
Answer:
Step-by-step explanation:
You have to group all of the same one's together and however many there is, you add that number as the exponent.
There were 2 "(-2)" so that became
, and there were 5 "7" so that became
. You keep the symbol and put it together which became 
Answer:
31 + 71 = 102
102/100
1.02
Step-by-step explanation: