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nika2105 [10]
3 years ago
10

What is the value of x if a rectangle has a perimeter of 50, a length of x + 5, and width of 11?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

The perimeter of a polygon is the sum of the lengths of all its sides. A rectangle has 4 sides, and opposite sides are congruent, so 2 sides have length x + 5, and 2 sides have length 11. Add all the lengths and set the sum equal to 50. Then solve the equation for x.

x + 5 + x + 5 + 11 + 11 = 50

2x + 32 = 50

2x = 18

x = 9

Answer: x = 9

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3 years ago
What is the approximate value of k?
lesya692 [45]

Hello from MrBillDoesMath!

Answer:

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Discussion:

Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,

From the law of sines

sin(120)/k = sin(20)/2  =>

sin(120) =  k *  (  sin(20)/2) )                (multiply both sides by "k")

k = sin(120)/  (   sin(20)/2)                    (divide both sides by sin(20)/2)

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Regards,  

MrB

 P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


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