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2 years ago

Will give brainliest IF CORRECT

Mathematics

1 answer:

hammer [34]2 years ago

3 0

Answer:

They are supplementary angles.

Hope it will help :)

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If A+B+C=<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"

seraphim [82]

Answer:

$a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b)$

Step-by-step explanation:

we have:

$\tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)$

we also have:

$\tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)$

from (1)(2) => proven

5 0

2 years ago

H(a)=2a+4 <br> g(a)-2a^2+2 <br> find (h+g)(a+3)

Lunna [17]

Answer:

hello :

(g/f)(3) = g(3)/f(3)

but : g(3) =3(3)+2 = 11

f(3) 2(3)-4 = 2

g/f)(3) = 11/2

3 0

2 years ago

Find x. Assume that any segment that appears to be tangent is tangent.

Mamont248 [21]

The value of x is 21.

To find this one, we need to know the formula with intersecting lines outside of the circle.

It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.

Therefore, we can write and solve the following equation:

(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21

6 0

3 years ago

A quality control inspector samples 2 computer chips from a box containing 13 computer chips. If the box contains 3 defective ch

elena-14-01-66 [18.8K]

Answer:

The number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 33 ways.

Step-by-step explanation:

The box contains 13 computer chips. Of these 13 chips 3 are defective and 10 are good.

A quality control inspector samples 2 computer chips.

The number of ways to select at least 1 defective chip is:

n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)

The number of ways to select 1 defective chip is: ${3\choose 1}{10\choose 1}=3\times10=30$ ways.

The number of ways to select 2 defective chips is: ${3\choose 2}{10\choose 0}=3\times1=3$ ways.

n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)

= 30 + 3

= 33

Thus, the number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 33 ways.

5 0

3 years ago

You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Sup

ELEN [110]

Answer:

You will need 50.54 liters of gas.

Step-by-step explanation:

This question is solved by proportions.

495km trip:

The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.

Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.

Number of gallons:

23.0 mi/gal.

So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.

How many liters?

Each gallon has 3.78 liters.

So 13.37 gallons will have 13.37*3.78 = 50.54 liters.

3 0

3 years ago