Ben uses a compass and a straightedge to construct ZDEF ZABC, as shown below: H Η
B
с
F
Which statement best explains why Ben uses the width HI to create the arc at J from point K? (4 points)
O ZDEF = LABC when EJ is constructed equal to HI.
DEF LABC when JK is constructed equal to HI.
Angle HIB is equal to angle JEK when ZDEFE ZABC.
Angle BHI is equal to angle JKE when _DEF = 2ABC.

d

step-by-step explanation:

, 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

explanation:

step-by-step explanation:

step-by-step explanation: