Mathematics, 16.07.2020 03:01 idk12345677

Solve the problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. a. Prove: AB ∥ DE

Solve the problems. Write the complete proof in your paper homework and for online (only) complete

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Answer from: celayaluis00

See below

Step-by-step explanation:

Statements Reasons

1. Seg. BA is congr to seg. BC 1. Given

2. <A is congr to <BCA 2. Theorem: If 2 sides of triangle are

congr, then opp <s are congr

3. Seg. DC is congr to seg. DE 1. Given

4. <E is congr to <DCE 4. Theorem: If 2 sides of triangle are

congr, then opp <s are congr

5. <BCA is congr to <DCE 5. Vertical <s are congr.

6. <E is congr to <BCA 6. Theorem: Congr of <s is transitive

7. <E is congr to <A 7. Theorem: Congr of <s is transitive

8. AB||DE 8. If two lines are cut by a transversal

such that alt int <s are congr. then the

lines are parallel

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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 $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

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

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

answer is 12345678900987654321234567890987654321

step-by-step explanation:

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