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1. Okay. 1/2 as a decimal is 0.5 and 8/9 is about 0.89. Just by looking at the answer choices, A and B are both eliminated, because they are less than 1/2. 22/24 is about 0.92 as a decimal, which is more than 0.889. C is eliminated, which leaves us with D. 19/24 is about 0.79, which is greater than 0.5, but less than 0.89. 19/24 is between 1/2 and 8/9. The answer is D: 19/24.
2. Okay. Finding the answe to this will require converting the improper fraction into decimals, through dividing. Just by looking at the answers, we can eliminate C and D, because those denominators are odd. That will not get us to 9.5 evenly. 9.5 is also 9 ½. Let's try A. 46/5 is 9.2. 9.2 < 9.5. A is out. 19/2 is 9.5. 9.5 = 9.5. There. 9.5 is 19/2 expressed as a fraction in simplest form. The answer is B: 19/2.
Answer:
x=20
Step-by-step explanation:
We know a straight line is 180 degrees so the upper corner is 60 degrees
The other corner is 55 because we see that the mirror side is the exact same
Total angle in a triangle is 180 so 60+55=45
2x+5 = 45
subtract 5 from each side to get
2x=20
x=10
Given:
The composition of functions is G(F(y)).
To find:
The independent variable of G(F(y)).
Solution:
Independent variable is the variable whose value independent from other variable. It means the value of independent variables is not depend on the other variable.
We know that G(F(y)) can be written as

Here, the value of function G depends on F(y) and the value of F(y) depend on variable y. But value of y does not depend on any variable. So, y is the independent variable of G(F(y)).
Therefore, the correct option is C.