51 3/4....................
Statements are all TRUE
sinA =
and cosB = 
cscA = 1/sinA = 1/(a/c) =
and secB = 1/cosB = 1/(a/c) = 
tanA =
and cotB= 1/tanB = 1/ (b/a) = 
Answer:
-11
Step-by-step explanation:
Answer:
Jessica spent 10 months in Spain and 8 months in Colombia.
Step-by-step explanation:
Let x be the number of months Jessica lived in Spain, then she lived 18 - x months in Colombia.
She learned an average of 160 words per month when she lived in Spain, so she learned 160x words in Spain.
She learned an average of 200 words per month when she lived in Colombia, so she learned 200(18-x) words in Colombia.
In total, she learned a total of 3,200 new words, thus

Jessica spent 10 months in Spain and 8 months in Colombia.
Answer: 10 , 13 , 14 , 15
Step-by-step explanation:
To find the perimeter of a quadrilateral , we will add all its side , that is
Perimeter = x + x + 3 + x + 4 + x + 5
That is
52 = x + x + 3 + x + 4 + x + 5
52 = 4x + 12
subtract 12 from both sides
40 = 4x
divide through by 4
x = 10
therefore , the lengths of the sides are
10 , 10+3 , 10 + 4 , 10 + 5 , that is
10 , 13 , 14 , 15