9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
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The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
Answer:
negative because since -90 and -5 are both negative just add and keep it the sign which is -95
hope this helps
have a good day :)
Step-by-step explanation:
M> 1 + m>2 = 90°
x-12 + 5x = 90°
6x - 12 = 90°
6x -12 +12 = 90°+12
6x = 102
6x/6 = 102/6
x = 17
m>1 = x-12
m>1 = 17-12
m>1 = 5
m>2 = 5x
m>2 = 5(17)
m>2 = 85
Answer:
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