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3 years ago

(Please Help) Use your knowledge of the Triangle Sum Theory to solve for x. Then solve for L.

Mathematics

1 answer:

Art [367]3 years ago

8 0

Answer:

X= 15

K=45

Step-by-step explanation:

The Triangle Sum Theory means that every interior angle of a triangle sums up to 180. My first approach was to put 169 as x but that isn’t correct. That is because a triangle’s smallest angles have to add up to be more than the biggest angle. Ex (10, 5, 7 that is a triangle because the sum of 5+7 is more than 10) So as you can see there are x’s next to the other numbers. That is because x needs to be able to multiply with the other numbers and stand on it’s own and add up to 180. So this would be the equation: X+8•X+3•X=180. You should find that 15 makes everything add up to 180. Now knowing x is 15 now we know that 3x is equal to 45. So k=45 That is how you solve this tricky question. Hope this helps! ❤️

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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.

nordsb [41]

Answer:

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Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches .... correct

when h = -6inches

A = 18 * -6 ≠ 216 square inches

So height is 12 inches

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alexgriva [62]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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