Let us write the inverse variation in the given in an equation form,
a = k / b
where k is the constant of proportion.
If the value of b is double, there should be a corresponding change in a.
(x)(a) = k / 2b
(x)(a) = (1/2)(k/b)
The value of x is 1/2. Therefore, the value of a is halved.
The absolute value of 1 1/4 is -1 1/4
the absolute value of -11/6 is 11/6
if this helped please give brainly:)
For number 1:
10.2 miles. 1/5 is the same as 0.2 so that's how it would be referred to. So the first 0.2 is $0.75 leaving us with 10 miles left. To calculate how many times we add the addition 0.2 mile charge we do 10/ 0.2 = 50. Multiply this 50 by the fare of $0.55 to get $27.50.
Add that $27.50 to the first $0.75 to get $28.25, option A.
For number 2:
Same process. 9.5 miles, first 0.2 miles is $0.75. Leaving us with 9.3 miles left. Rounding to the nearest fifth, I'm guessing that want it to be 9.2 miles. Divide 9.2 by 0.2 to get the amount of times the additional 0.2 mile charge is added, 46. Multiply 46 by the fare charge of $0.55 to get $25.30. Add the first $0.75 charge to get 26.05.
This answer is not up there so I'm going to use the actual 9.3 miles. 9.3/ 0.2 = 46.5. 46.5 * $0.55 = $25.575, call it 25.58. Add the first $0.75 to get $26.32.
Both of these aren't there but they both have $26 in them so I'd go with option B.
the question does not present the options, but this does not interfere with the resolution
we know that
if a and b are parallel lines
so
1) m∠2=58°------> by corresponding angles
2) m∠1=4x-10------> by alternate exterior angles
3) [m∠2+m∠(3x-1)]+m ∠1=180°------> by supplementary angles
58+(3x-1)+4x-10=180
7x=180-47
7x=133
x=19°
4) angle (4x-10)=-4*19-10-------> 66°
5) angle 3x-1=3*19-1-------> 56°
