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Debora [2.8K]
4 years ago
7

Given HJK TRS, find the values of x and y

Mathematics
1 answer:
marishachu [46]4 years ago
7 0
6x-3=51
6x=54
x=9

180-51-83=46
46=7y-10
56=7y
8=y

x=9
y=8
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Which fraction is equal to 0.245 repeating
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Maja manages a community garden which has rectangular garden plots that are 15 ft by 10 ft. She wants to add a uniform path arou
tiny-mole [99]

The path should be 6.38 feet wide

Let x be the width of the path.

Since the rectangular plot has an area with dimensions 15 ft by 10 ft, we add x to each dimension to give the dimensions of the rectangular plot plus uniform path.

So, the dimensions are 15 + x by 10 + x respectively.

So, the area of the rectangular plot plus uniform path is A

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Since the combined area of the path is 350 square feet, A = 350 ft²

So, (15 + x)(10 + x) = 350

Expanding the brackets, we have

150 + 15x + 10x + x² = 350

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x² + 25x + 150 - 350 = 0

x² + 25x - 200 = 0

Using the quadratic formula, we find x, the width of the path

So,

x = \frac{-25 +/-\sqrt{25^{2} - 4X1 X (-200)} }{2 X1 } \\x = \frac{-25 +/-\sqrt{625 + 800)} }{2}\\x = \frac{-25 +/-\sqrt{1425} }{2}\\x = \frac{-25 +/-37.75 }{2}\\x = \frac{-25 + 37.75 }{2} or x = \frac{-25 - 37.75 }{2}\\x = \frac{12.75 }{2} or x = \frac{-62.75 }{2}\\x = 6.375 or x = -31.375

Since x cannot be negative, we choose the positive answer.

x = 6.375 ft

x ≅ 6.38 ft

So, the path should be 6.38 feet wide

Learn more about width of a path here:

brainly.com/question/15382035

5 0
3 years ago
Solve for x and show work.
mrs_skeptik [129]

Answer:

x = -5

Step-by-step explanation:

Angles "50" and "x+55" are alternate interior angles which means that they are the same.

So 50 = x + 55

That leaves you with x = -5

8 0
3 years ago
Read 2 more answers
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