Answer:
MC = 45
Step-by-step explanation:
Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
6MC = 270 ( divide both sides by 6 )
MC = 45
The domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0
because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed
the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x
9 is restricted from the domain
domain is all real numbers except 9
so


the domain is all real numbers except for 9
Step-by-step explanation:
x1+x2 = (-1-√2)/3 + (-1+√2)/3
= -2/3
(x1) (x2) = (-1-√2)/3 × (-1+√2)/3
= -1/9
the equation :
x² -(-2/3)x + (-1/9) = 0
x² + ⅔ x - 1/9 = 0
When any angle bisects with other angle then both the angles are equal.
Then, m of angle ABD = angle CBD
ABD = 70
ABD = CBD = 70°
ABC = 70 + 70 = 140°