Work out angle x please!!

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

7 0

Answer:

x = 80°

Step-by-step explanation:

The full angle of the straight line is 180°. We already have 100°, so we need to find out what is left over for x

180 - 100 = 80

So the angle of x is 80°

You might be interested in

Multiply the polynomials (a^2+3a-7) and (a+4)<br> simplify answer + show work

Anton [14]

= a^3 +3a^2-7a+4a^2+12a-28
=a^3 +7a^2+5a-28

3 0

4 years ago

Find the domain and range of the function f(x) = 3x^2 - 5.Also find f(-3) and the numbers which are associated with the number 4

Delicious77 [7]

Domain:

This function is a polynomial, i.e. a sum of powers of a variables, each with its coefficient. Polynomials are defined for every possible value of the variable, so the domain is the whole real number set: $D = \mathbb{R}$

Range:

A polynomial of degree 2 represents a parabola. Since the leading coefficients, i.e. the coefficient of the term with highest degree, is positive (in this case, it's 3), the parabola is concave up. It means that it has a minimum, and it's unbounded from above. So, the range is something like $[a,\infty)$ . To find the minimum, let's start with the "standard" parabola $y=x^2$ , and transform it to the one of this exercise. $y=x^2$ has minimum 0, and thus its range is $[0,\infty)$ . When you multiply it times three, its shape narrows, but the range wont change: $[0,\infty) \to [3\cdot 0,3\cdot \infty) = [0,\infty)$ . Finally, when you subtract 5, you shift everythin down 5 units. This transformation affects the range, since you have $[0,\infty) \to [0-5,\infty-5) = [-5,\infty)$