Which of the following values are solutions to the inequality 3x+9\le -7?3x+9≤−7? \text{I.}\hspace{2px}-4\hspace{20px }\text{II.}\hspace{2px}0\hspace{20p x}\text{III.}\hspace{2px}-8
I.−4II.0III.−8

b. the decimal could be two-tenths.

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )