The angle measures of the three angles of a triangle are in the ratio $1:3:6$. What is the number of degrees in the measure of the largest angle?

Step-by-step explanation:

Since the angles of a triangle all have to add up to equal 180, then, given the info we are given:

1x + 3x + 6x = 180 and

10x = 180 so

x = 18

That means that the smallest angle measures 18, the middle angle measures 3(18) which is 54, and the largest angle measures 6(18) which is 108.

Checking our math, does 18 + 54 + 108 add up to equal 180? Yes, it does

answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11

+5             +5

2n ≥ -6

2/2 ≤ -6/2

n ≤ -3

-6 - 10n > 44

+6           +6

-10n > 50

-10/-10 50/-10

n < -5

b

step-by-step explanation: