Answer:
see explanation
Step-by-step explanation:
Multiplying or dividing each part of the ratio gives an equivalent ratio
Given
8 : 20 ← divide both parts by 2
= 4 : 10 ← divide both parts by 2
= 2 : 5 ← ratio in simplest form
Multiply both parts by 2
8 : 20 = 16 : 40
4 : 10, 2 : 5, 16: 40 ← are possible equivalent ratios
The original expression is given by:

The correct way to rewrite the expression is given by:

For this, we use two properties:
Associative property:
The way of grouping the factors does not change the result of the multiplication:
Commutative property:
The order of the factors does not vary the product:
By definition, the circumference is given by:
C = 2 * pi * R
Where,
R: Radio
Substituting values we have:
C = 2 * pi * (27/2)
C = 84.82300165 in
Round to the nearest whole number:
C = 85 in
Answer:
The circumference of the wheel is:
B. about 85 inches
The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>


<u>Point-slope formula:</u>

Substitute the given values in the formula, we get



Subtract 3 from both sides of the equation.


Hence the equation of the parallel line is y = –2x – 11.