What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3

This 2 pls i need help with explanation sum

Nataliya [291]

9514 1404 393

Explanation:

An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.

The above relation tells us ...

∠PRS = ∠PQR +∠QPR = 2q +2p

Then ...

∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p

and

∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior

q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR

p = ∠QTR = 1/2(∠QPR) . . . . . subtract q

__

For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...

∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°

Substituting the congruent angles, this gives ...

∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation

4 0

3 years ago

Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an

Svetradugi [14.3K]

The recursive form of an arithmetic sequence is $\rm a_n = a_{n-1} + 7$ , where the first term a₁ = –10. Then the correct option is A.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

We know that the formula of recursive for an arithmetic sequence is given as

$\rm a_n = a_{n-1} + d$