These two angles add up to 180 degrees, so:
(5x) + (x + 24) = 180
6x + 24 = 180
6x = 156
x = 26
Answer: B
Step-by-step explanation: Since all triangles have angles that add to 180 degrees, add the two known angles and then subtract that from 180.
29 + 108 = 137
180 - 137 = 43
Answer: 3) k = 22.5; xy = 22.5
Step-by-step explanation:
If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.
Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes
y = k/x
If y = 2.5 when x = 9, then
2.5 = k/9
k = 9 × 2.5 = 22.5
Therefore, an equation for the inverse variation is
y = 22.5/x
xy = 22.5
Answer:
Option b(0.5) is the correct answer for the above question.
Step-by-step explanation:
- The above code is written in the C# language. The first three statements are used to declare the three decimal variable and initialize them by some value. But this has no use in the above code.
- Then there are the other three statemen which is used to declare the three variable of type integer which names are i,j and k and initialize them to a value 4,8 and 17.
- Then the expression "decimal x = (decimal)i / (decimal)j;", intialize the value 0.5 to the x variable.
- It is because the i and j value will be typecast in the decimal value and then i is divided by j. It means (4.0) is divided by (8.0) which gives the result 0.5.
- Hence option b is the correct answer while the other is not because the other option is not the value of the x variable.
