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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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worty [1.4K]

Answer:

Yes

Step-by-step explanation:

Pythagorean's Theorum is that a^2 + b^2 = c^2

a and b are the sides of the triangle and c is the hypotenuse. 33x33+56x56=4225 sqrt4225 is 65. Everything checks out.

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4 years ago

Diego pays $4.50 for 3 pound of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas

lys-0071 [83]

Answer:

D. 3b + 2(b + 0.75) = 4.50; $0.60 per pound of bananas, $1.35 per pound of oranges

Step-by-step explanation:

Price per pounds of bananas = b

Price per pound of oranges = b + $0.75

Diego buys:

3 pounds of bananas = 3(b) = 3b

2 pounds of oranges = 2(b + 0.75)

Amount paid by Diego is expressed as:

3b + 2(b + 0.75) = 4.50

To find the price per pound of each fruit, use the equation above to find the value of b:

3b + 2b + 1.50 = 4.50

Combine like terms

5b + 1.50 = 4.50

5b + 1.50 - 1.50 = 4.50 - 1.50

5b = 3

5b/5 = 3/5

b = 0.6

Price per pound of banana = b = $0.6

Price per pound of oranges = b + $0.75

Plug in the value of b

= $0.6 + $0.75

= $1.35

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4 years ago

Sam's car traveled 120 miles on 9 gallons of gasoline. Which fraction expresses the ratio of miles to gallons?

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3 years ago

Which table represents a linear function?

allsm [11]

Answer:

Graph One.

Step-by-step explanation:

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4 years ago

Read 2 more answers

Is y = 1/4x^0.5 a power function? Explain your reasoning.

LenaWriter [7]

Answer:

$y =\displaystyle\frac{1}{4}x^{0.5}$

It is a power function.

Step-by-step explanation:

We are given the following function in the question:

$y =\displaystyle\frac{1}{4}x^{0.5}$

We have to check whether the given function is a power function or not.

Power Functions :

A power function is of the form:

$f(x) = ax^p,$

where a is a constant and not equal to zero and p is a real number.

Comparing the given function, we get:

$a = \displaystyle\frac{1}{4}\\\\p = 0.5$

Hence, the given function is a power function.

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3 years ago