The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angle
s of the pentagon are equal, which expression represents the measure of two angles? 2x2(20 – 32x + 25x2)
2(8x2 – 13x +10)
5x2(8x2 – 13x + 10)
5(3x2 – 8x + 5)
There are 5 angle s in a pentagon and we are assuming are pentagon is a regular one so the angles are all congruent.
Let's let A represent the measurement of one of the those angles in our pentagon.
The sum of our angles in our pentagon would then be A+A+A+A+A or 5A.
But we are also given that this equals 40x^2-65x+50.
So that means 5A=40x^2-65x+50.
If we divide both sides by 5 we can find what one of our angles is in terms of x. So let's do that A=8x^2-13x+10.
So we want to know the sum of two our angles, we want to know what is A+A or 2A. 2A=2(8x^2-13x+10). To obtain that I just multiplied both sides of A=8x^2-13x+10 by 2.
Carbon-14 has a half-life of 5,730 years. Taking one atom of 14C, this will either have decayed after 5,730 years, or it will not. But if this experiment is repeated again and again, it will be seen that the atom decays within the half life 50% of the time.
EIA is a tool that ensures the protection and conservation of the environment and natural resources and ensures a sustainable economic development for any project under construction. ... EIA studies the effect of the surrounding environment on the project as well as the effect of the project on the surrounding environment.