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elena-14-01-66 [18.8K]
3 years ago
13

Question 1 through 6 . THANKS.

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0
Remember, these are quadrilaterals, so they must add up to 360°. Just add up the angles and then do 360 minus that number to solve for x. Therefore: 1. 118 + 90 + 99 = 307 360 - 307 = 53 2. 110 + 96 + 78 = 284 360 - 284 = 76 3. 48 + 118 + 97 = 263 360 - 263 = 97 4. 105 + 99 + 64 = 268 360 - 268 = 92 5. 103 + 63 + 113 = 279 360 - 279 = 81 6. 95 + 80 + 88 = 263 360 - 263 = 97
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What is the length of the diagonal of a 10 foot by 8 foot rectangle?
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Diagonal of a rectangle formula:

Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.

Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.

a² + b² = c² ; where a and b represents the lengths of the triangle and c is the hypothenuse. In this case, the lengths are 10 ft and 8ft.

10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft
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