Answer:
Step-by-step explanation:
By the definition of a square, all the sides are the same. Our figure is marked as such. Because of this characteristic, that congruency makes the top segment of the square parallel to the bottom segment. That makes x and the vertex (top) angle in the triangle on the right congruent (these are called alternate interior angles and they are congruent when they lie on opposite sides of a transversal that cuts a pair of parallel lines).
Also, due to the nature of this type of triangle which is an isosceles triangle, both the acute angles in each triangle are congruent and the other angle is a right angle. The Pythagorean Triple for the sides in this type of triangle, which is a 45-45-90, is, from shortest side to longest side, (x, x, x√2). That means that x is a 45 degree angle.
To find the value of y, we use the Pythagorean Triple. If the side is 10.9, then the hypotenuse is 10.9√2
Choice A is the one you want.
7(x - 3) = 4(x + 5)
7(x) - 7(3) = 4(x) + 4(5)
7x - 21 = 4x + 20
- 4x - 4x
3x - 21 = 20
+ 21 + 21
3x = 41
3 3
x = 13²/₃
9(x - 2) = 18
9(x) - 9(2) = 18
9x - 18 = 18
+ 18 + 18
9x = 36
9 9
x = 4
17x - 6 + 3x - 5 = x + 11 + 4x
17x + 3x - 6 - 5 = x + 4x + 11
21x - 11 = 5x + 11
- 5x - 5x
16x - 11 = 11
+ 11 + 11
16x = 22
16 16
x = 1³/₈
Note what i actually represents.
i is the very basis of a whole new level of counting. When finding discriminants, we often say that a quadratic has no
real roots if the discriminant is 0. Needless to say, there are roots, they are just imaginary.
, in real terms, is non-existent. That is, there are no numbers in the real number system that when multiplied by itself produces a result of -1. This is what i unit represents.
Let's tackle this problem in smaller steps.
Let's first expand our brackets.
(i - 7i)² = (-6i)² = 36i²
Now, let's distribute the xi.
xi(i - 7i)² = xi(36i²) = 36xi³ =
= -36xi
The population before the increase was 894.