We know that the area of a rectangle is equal to the width multiplied by the length. So in this case the algebraic expression is (x+5)*(3x+10). You get 3x^2 +10x +15x +50= 3x^2 +25x +50.
From the picture we can see that angles Z and X are the same because they are oposite angles of parallelogram and rule for it is that oposite angles are the same.
so we can write that equations for determining their size are the same
7x + 61 = 9x + 47
Now we just solve for x.
2x = 14
x = 7
If we implement this in formula for Z we find:
Z = 7*7 + 61 = 110
we implement value of x in the lenght of WY as well
WY = 84 - x = 84 - 7 = 77
Answer is C
Answer:
The answer is 1/4
Step-by-step explanation:
move all terms with variables to one side and you get this : 20n=5
divide the variable side by 20 so you are left with the variable by itself. then do the same to the other side. 5/20 is 1/4
5x+2=47 subtract 2 from both sides
5x=45 divide both sides by 5
x=9
Step-by-step explanation:
Before the industrial revolution, most of the moth population had white wings. During and after the industrial revolution, the moth population has evolved to have a majority black population. This happened due to changing natural selection pressures. The black moths were able to camouflage in the ‘dark environment’ caused by soot from the industrial revolution. The moths were less linly to be preyed on compared to white moths that stood out in the ‘black’ environment. Over a generation, the allele for white-color, because it offered a disadvantage, becomes ‘weeded out’ of the population.