Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
2 answers:
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I'm guessing that you know about 45-45-90 and 30-60-90 triangles.
In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is times the legs.
In 30-60-90 triangles, the legs are in a ratio of 1::2
In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9 because of the ratio of the sides of a 45-45-90 triangle.
The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is : 2
We can create an equation to solve for x using these ratios:
=
Cross multiply:
2x = 9
x =
Option C
Answer:
or
is a factor of the given polynomial.
Step-by-step explanation:
Let us learn the concept with an example first.
Let the polynomial be a quadratic function .
The roots of are 2 and 3.
Putting
Putting
Putting x = 2 or x = 3, g(x) = 0 The roots of equation g(x) are 2 and 3.
Now, let us try to factorize g(x):
so, the equation can be written as:
where 3 and 2 are the roots of equation.
The factors are (x-3) and (x-2).
for the polynomial f(x) which has roots
will have a factor:
or