Answer:
D. a is equal to 
Step-by-step explanation:
Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.
Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.
Then;
PX = aPQ
⇒ = a x 8
= 8a
Therefore, a must be equal to , so that;
PX = 8a
= 8 x
= 2 units
Thus, a is equal to is the correct option.
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On = 38 - 9n
Step-by-step explanation:
Note the common difference d between
consecutive terms
d= 20 - 29 = 11 - 20 = - 9
This indicates the sequence is arithmetic with n
th term
On
= apt (n - 1)d
where a, is the first term and d the common
difference
Here a, = 29 and d=- 9, thus
An = 29 - 9 (n - 1) = 29 - 9n + 9 = 38 - 9n
Answer:
6.25%
Step-by-step explanation:
% change= (chnage/original salary) × 100%
Change = new salary - original salary
Hence = 3400-3200=200
% change= (200/3200)×100%= 6.25%
