(4/9) divided by (2/3) is 2/3 because you do the reciprocal and mul. Then you mult it by the reciprocal of (5/6) which is (6/5) and get 4/5
13. Simple problem when you divide a fraction by another you multiply by its inverse not by the same.
So 3x-12/x^2-9x+20 divided by 9x+54/x^2+x-30
Should be: 3x-12/x^2-9x+20 * x^2+x-30/9x+54
Now you can simplify it.
3(x-4)/(x-4)(x-5) * (x+6)(x-5)/9(x+6)
Or 3/(x-5) * (x-5)/9
Or 3/1 * 1/9
Or 3/9 = 1/3
Answer:
x = 8 units.
Step-by-step explanation:
We'll begin by calculating the length of the two squares attached to the triangle.
From the question given above, the areas of the two square are the same i.e 32 units². Therefore, the length of the two square will be the same.
Now, we shall determine the length of the square as follow:
Area of square (A) = 32 units²
Length (L) =?
Area of square (A) = Length (L) × Length (L)
A = L × L
A = L²
32 = L²
Take the square root of both side
L = √32 units
Therefore, the length of the square is √32 units. This implies that the length of both side of the triangle is √32 units
Now, we shall determine the value of x using pythagoras theory.
From the diagram above we can see that x is the Hypothenus i.e the longest side. Thus, the value of x can be obtained as follow:
x² = (√32)² + (√32)²
x² = 32 + 32
x² = 64
Take the square root of both side
x = √64
x = 8 units.
Therefore, the value of x is 8 units.
Answer:
19 degrees
Step-by-step explanation:
Sum of 2 angles is complementary,
x + 71 = 90
x = 90 - 71
x = 19 degrees
