Find the standard form of the following... 26

Angle m AOC=108° m AOB=3x+4° m BOC=8x-28° Find m AOB

Alex787 [66]

Hello from MrBillDoesMath!

Answer:

40

Discussion:

A diagram is always appreciated!

Assuming that

mAOC = mAOB + mBOC =>

108 = (3x + 4) + (8x - 28) => combine common terms

108 = (3x + 8x) + (4 - 28 ) =>

108 = 11x - 24 => add 24 to both sides

132 = 11x =>

x = 132/11 = 12

So mAOB = 3x + 4 = 3(12) + 4 = 36 + 4 = 40

Thank you,

MrB

4 0

3 years ago

The walls were shakin the earth was quakin my head was achin we were makin it and you___________

sineoko [7]

Answer:

Is this a poem or song?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please help!!!

eduard

Answer: b. The adjacent angles formed by two intersecting lines are supplementary.

Step-by-step explanation:

In the given picture , we can see that there are intersecting lines with adjacent angles which have shown.

If we add the adjacent angles for each pair of intersecting lines we get,

$135^{\circ}+45^{\circ}=180^{\circ}$

$130^{\circ}+50^{\circ}=180^{\circ}$

$160^{\circ}+20^{\circ}=180^{\circ}$

Therefore,b is the right option "The adjacent angles formed by two intersecting lines are supplementary."

Two Angles are supplementary when their sum is 180 degrees.

Two Angles are complementary when their sum is 90 degrees.
Vertical angles are always equal.

3 0

3 years ago

Read 2 more answers

The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi

aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

GIVEN :-

First term of G.P. = 6
Forth term of G.P. = 384

TO FIND :-

Sum of first 10 terms of the G.P.

CONCEPT TO BE USED IN THIS QUESTION :-

Geometric Progression :-

It's a sequence in which the successive terms have same ratio.

General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]

Sum of 'n' terms of a G.P. ⇒ $\frac{a(r^n - 1)}{r-1}$ .

[NOTE :- $\frac{a(1-r^n)}{1-r}$ can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]