Assuming we have parallel lines, we can solve for x.
Since a = 3x - 10 (vertically opposite angles are equal),
3x - 10 = 2x + 15 (alternate angles are equal)
x = 25
Hence, angle a = 3(25) - 10 = 65°
Answer:
Function:
c = f(w) = 0.49, 0 < w ≤ 1
= 0.70, 1 < w ≤ 2
= 0.91, 2 < w ≤ 3
Step-by-step explanation:
Yes, the relation described can be interpreted as a function.
Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.
As described in the question, the relation can be expressed as a function.
c can be expressed as a function of w in the following manner:
c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable
c = f(w) = 0.49, 0 < w ≤ 1
= 0.70, 1 < w ≤ 2
= 0.91, 2 < w ≤ 3
where, c is in dollars and w is in ounces.
2/3 could equal 4/6 , 6/9, 8/12 , 10/15 , 12/18 ETC
The answer is neither.
Let's take an odd number and substitute.
- f(3) = 3³ - 4(3)
- f(3) = 27 - 12
- f(3) = 15 (odd)
Now, let's take an even number.
- f(4) = 4³ - 4(4)
- f(4) = 64 - 16
- f(4) = 48 (even)
Since both even and odd numbers are possible, it is neither.
- 1/3 -5/8
-8/24 - 15/24
-23/24
The first step is to find the least common denominator. The LCD of 3 and 8 is 24. Now, mulitply -1/3 by 8/8 and -5/8 by 3/3. This will give you fractions with equal denominators which you need to find before subtracting. Finally, you simplify the equation. Since this cannot be simplified, -23/24 is the answer
