2 years ago

The angle measures 22°, 62°, 118°, and 158° are written on slips of paper. You choose two slips of paper at random.

1 answer:

3 0

Answer: 1/3

There are C(4,2) = 6 ways to choose a pair of numbers. Only 2 of those pairs are supplementary measures {22, 158} and {62, 118}. The probability is 2/6 = 1/3.

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If (x + y)^2 = 105 and x^2 + y^2 = 65, what is the value of xy?

lesya692 [45]

$\boxed { \boxed {(a + b)^2 = a^2 + 2ab + b^2}}$

$(x + y) ^2 = 105$

$x^2 + 2xy + y^2 = 105$

$x^2 + y^2 + 2xy = 105$

$\text{Given that } x^2 + y^2 = 65,$

$65 + 2xy = 105$

$2xy = 105 - 65$

$2xy = 40$

$xy = 20$

$\boxed { \boxed {\text{Answer: xy = 20}}}$

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klemol [59]

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Helga [31]

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Step-by-step explanation:

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