Given: b is the midpoint of segment a c. segment b c is congruent to segment d e. prove: segment a b is congruent to segment d e. art: three line segments a b, b c, and d e. line segments a b and b c make a straight line. line segment d e intersects line segment b c. point d lies on upward-left direction from line segment b c. statements reasons 1. b is the midpoint of ac. given 2. ab≅bc definition of midpoint 3. bc≅de given 4. ab≅de
what is the reason for statement 4 of the two-column proof? symmetric property of equality segment congruence postulate segment addition postulate transitive property of congruence

step-by-step explanation:

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-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

, 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