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3 years ago

How should we prove this ? Boc=90-1/2angle bac

Mathematics

1 answer:

Hatshy [7]3 years ago

8 0

We have m(<CBO) = (1/2) · m(<CBE) = (1/2) · ( x + z );

In the same way, m(<BCO) = (1/2) ·( x + y);

m(<BOC) = 180 - [(1/2) · ( x + z ) + (1/2) ·( x + y)] = 180 - (1/2)· ( x + x + y + z );

But, x + y + z = 180;

Then, m(<BOC) = 180 - (1/2)·( x + 180 );

Finally, m(<BOC) = 90 - (1/2)·x;

So, m(<BOC) = 90 - (1/2)·m(<BAC).

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Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four

andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

x is Ada's amount.
y is Betty's amount.
z is Chris's amount.
w is David's amount.

$45 total, hence:

$x + y + z + w = 45$

Ada gets 2 from Betty, hence:

$x + 2 = y - 2$

$x = y - 4$

$y = x + 4$

Chris triples his money and David's money is cut by half four of them have the same amount, hence:

$x + 4 = y = 3z = \frac{w}{2}$

Then:

$3z = x + 4$

$z = \frac{x + 4}{3}$

$x + 4 = \frac{w}{2}$

$w = 2x + 8$

Solving for w, we find Ada's initial amount.

$x + y + z + w = 45$

$x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45$

$4x + 12 + \frac{x + 4}{3} = 45$

$12x + 36 + x + 4 = 45$

$13x = 5$

$x = \frac{5}{13}$

$x = 0.385$

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

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3 years ago

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .42. Find the proba

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Answer:

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Step-by-step explanation:

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

n = 6 ; x = 3 ; p = 0.42

P(x = 3) +... P(x = 6)

P(x = 3) = 6C3 * 0.42^3 * (1 - 0.42)^(6-3)

P(x = 3) = 20 * 0.074088 * 0.195112

P(x = 3) = 0.28910915712

Then find p(x = 4).. + p(x = 6)

Using a calculator :

P(X >= x) = 0.497

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mihalych1998 [28]

Answer:

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Step-by-step explanation:

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