Circle D is below what is the arc measure of BC in degrees

Mathematics

1 answer:

maks197457 [2]4 years ago

4 0

Answer:

84°

Step-by-step explanation:

$\because (13n - 16) \degree + (7n + 12) \degree + (6n)\degree \\= 360\degree \\ \\ \therefore \: (26n - 4) \degree= 360\degree \\ \\ \therefore \: 26n - 4= 360 \\ \\ \therefore \: 26n = 360 + 4 \\ \\ \therefore \: 26n = 364 \\ \\ \therefore \: n = \frac{364}{26} \\ \\ \therefore \: n = 14 \\ \\\because m\overset { \frown}{BC} = (6n)°\\ \\\therefore \:m \overset { \frown}{BC} =(6\times 14)° \\ \\ \huge \purple {\boxed {\therefore \:m\overset { \frown}{BC}= 84°}} \\$

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Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .
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And we need to find out the numbers. So let us take ,

First number be x
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$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$