EXPLAIN PLEASE Will give brainlist! Question 1 (1 point)
1. Which three lengths could be the lengths
of the sides of a triangle?
O A.12 cm, 5 cm, 7 cm
O B.10 cm, 15 cm, 24 cm
O C.9 cm, 22 cm, 11 cm
O D.21 cm, 7 cm, 6 cm

B

Step-by-step explanation:

For three side lengths to make a triangle, the two smaller ones have to add up to be greater than the third one. This is because if they are any smaller, they won't be able to touch and form a triangle. The formula for this is a+b>c.

You can go through each answer choice and determine whether or not it would work:

A. 12, 5, and 7

5 + 7 > 12 --> 12 > 12 (NOT true)

B. 10, 15, and 24

10 + 15 > 24 --> 25 > 24 (true!)

C. 9, 22, 11

11 + 9 > 22 --> 20 > 22 (NOT true)

D. 21, 7, and 6

7 + 6 > 21 --> 13 > 21 (NOT true)

This means that the correct answer is B.

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