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2 years ago

7

1) Find x if x and 9x are supplementary.

1 answer:

andrey2020 [161]2 years ago

7 0

Answer:

1) suplimentary = a total of 180°

x + 9x = 180

10x = 180

x= 18

2) complimentary = a total of 90

x + 2x = 90

3x = 90
x=30

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Step-by-step explanation:

Given that $y = 5\cdot x + 11$ and $t = 2-x$ , the parametric equations are obtained by algebraic means:

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2) $y = 5\cdot x +11$ Given

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5) $y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11$ Associative property

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7) $y = -5\cdot (-x+0)+11$ Modulative property

8) $y = -5\cdot [-x + 2 + (-2)]+11$ Existence of additive inverse

9) $y = -5 \cdot [(2-x)+(-2)]+11$ Associative and commutative properties

10) $y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11$ Distributive property

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13) $y = -5\cdot t +21$ $(-a)\cdot b = -a \cdot b$ /Result

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15) $t +(-t) +x = (2-x)+x +(-t)$ Compatibility with addition

16) $[t+(-t)]+x= 2 + [x+(-x)]+(-t)$ Associative property

17) $0+x = (2 + 0) +(-t)$ Associative property

18) $x = 2-t$ Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is $x = 2-t$ and $y = -5\cdot t +21$ .

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