Circle D is shown with the measures of the minor arcs. Circle D is shown. Line segments D E, D F, D G, and D H are radii. Lines are drawn to connect the points on the circle and to create secants E F, F G, G H, and H E. The measure of arc E F is 115 degrees, the measure of arc F G is 115 degrees, the measure of arc G H is 65 degrees, and the measure of arc H E is 65 degrees. Which segments are congruent? EH and EF GH and FE FG and EH EF and GF

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

, 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