Step-by-step explanation:
Question 10 :
3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)
simplify and get x, thus x = 18
to find 3x + 6 or 4x - 12(which is both the same),
3(18) + 6 = 60° , 4(18) - 12 = 60°
Question 11:
2x + 24 + x = 180 ( reason: interior angles due to parallel lines)
simplify again to get x, you will get x = 52
then find the individual by subbing in the value of x into the equation.
so 2x + 24 = 2(52)+24 = 128° and x = 52°
Answer:
x = ± 2i
Step-by-step explanation:
The equation has no real roots, gut has complex roots
Given
x² = - 4 ( take the square root of both sides )
x = ± 
= ± 
[ Note that 
= i ]
= ± 
× = ± 2i
Answer: 22%, 0.22, 11/50
Step-by-step explanation:
As a percent, 44/200 × 100 =
0.22 × 100
= 22%
As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22
As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11
Divide 4 by denominator = 50
44/200 as a fraction = 11/50
Answer:
10
Step-by-step explanation:
The vertical scale gives us the frequency or the number of pets under each category . From the diagram;
The number of Dogs is 11 while there is only 1 horse
The difference between this numbers will be the solution to the question posed;
11 - 1 = 10
Therefore, 10 more dogs are pets than horses
Four Hundred Ninety two thousand Fifty Three.
