Can someone plz help me with number 8

An example of complementary angles would be Angle FA and Angle EF

Step-by-step explanation:

These angles add up to 90 degrees

Hope this helps!

∠AGF and ∠FGE, or ∠BGC and ∠CGD

Explanation

complementary angles are any angles which add up to 90°. since ∠AGB is a right angle according to the diagram, and AGD as well as BGE are straight lines (assumption), ∠DGE is also equivalent to 90° (opposite angles).

thus, the sum of ∠AGE and ∠BGD would be 90° each, so we know that ∠AGF and ∠FGE or ∠BGC and ∠CGD each add up to 90°.

i hope this helps! :D

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for