A triangle has two sides of lengths 7 and 9. What value could the length of the third side be? Check all that apply
A, 5
B. 2
TI C. 13
D. 110
TE! 8
DIN F. 22

5, 13, 10, 8

Step-by-step explanation:

hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.

go through each of the choices.

a. 5+7=12 12>9

b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,

c. 13+7=20 20>9

d.10+7=17 17>9

e.8+7=15 15>9

f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.

hope this helped :)

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752