Answer:
c.) 4 x (2)^x
Step-by-step explanation:
Since it is stated that the machine he bought only predict about 80%. Thus, about 20% are still possible that there are oils in the land that he owned.
In a 100% value = 80% were the 0 possibillites detected by the machine and 20% are still the possibility that it has an oil.
=> 80% = 0.80
=> 20% = 0.20
In the given choices. letter B has the closest value to the 20% that we expected.
Thus, let's have B as an answer.
<span>54x^2y - 12x^2y^2
=6x^2y(9 - 2y)</span>
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
In a triangle, the three interior angles always add to 180°
m∠R + m∠S + m∠<span>T = 180
</span><span>(2x+10) + (2x+25) + (x-5) = 180
</span>2x+10 + 2x+25 + x-5 = 180
5x + 30 = 180
5x = 150
x = 30
