Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
<span>I will discuss polynomials. A polynomial can be
classified according to the number of expressions that it has in a given
equation. A monomial has only one expression having a coefficient (number) and
a variable (letter). A binomial has two expressions, same as the definition of
the monomial. And a trinomial has three expressions, same as the definition of
a monomial. We can determine the degree of a polynomial by looking at the
exponents of the given polynomial. If an expression has two variables with
different exponents, you can add their exponent to determine their degree.
</span>
Answer:
A 56
C
Right triangle
No,No,No,Yes
Step-by-step explanation:
180-124=56
sin a=sideopposite/hypotnuse
8/17
cos a= side adjecent/hyptnuse
15/17
Answer:
f(x) = (3x - 7)/5
f^-1(x) = (5y + 7)/3
The DOMAIN is the set of all possible numbers that you can put in for the independent variable and get an answer. If you had g(x) = 1/x, you could NOT put in 0 for x and get an answer because 1/0 is undefined. So the domain is all numbers but 0.
The RANGE is the set of numbers you will get for the dependent variable. If you had g(x) = 1/x, you could NOT get 0 for g(x), no matter what you put in for x. So the range is all numbers but 0.
In both your functions the domain and the range equal all possible numbers. Or all real numbers.
Step-by-step explanation:
Another way to write the answers is:
D = {x | x = R} and R = {f(x) | f(x) = R} where
D = domain, R = range, { } means set, | is such that.
