Answer:
The proportion is 
= 
, and the length of the unknown side is 
or 27.22 approximately rounded to the nearest hundredth.
Step-by-step explanation:
Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is . MK and KF are corresponding sides, and their proportion is in which x represents the missing side. The proportions are equal, so = . Multiply both sides by 84 to isolate the variable, and you'll get 
, which is 
or .
Answer:
The probability that I mist sample 5 12-year-olds to find the first one who can pick out Colorado on a map is 1.
Step-by-step explanation:
The research suggests that about 24% of 12-year-olds in the US can pick out the state of Colorado on a map. The probability always exceeds the probabilities of picking out 1 over 5 12-year-olds, which is 20%, in a sample is well-represented the 12-year-old population of the US. Hence, the answer is 1 (or 100%).
That’s an acute triangle since all angles seem less then 90 degrees
Absolute value is the opposite of an integer
Example: -4 the absolute value would be 4
