Check the picture.
since the choices all have rotation about the origin, we must shift the original triangle in a suitable position. This is done by connecting any of the points of A'B'C' to the origin, and extend this line segment, as shown in the picture.
The most appropriate point is C', and we draw C" such that C'O=OC", and C', O and C" are collinear.
We see that the distance CC'' is 5.
So
Answer is:
"<span>A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin</span>"
Answer:
x=3
Step-by-step explanation:
0=x-3
-x=-3
x=3
558 gallons are used when the car has been driven 18 miles.
<u>Step-by-step explanation:</u>
<u>From the given data, it can be determined that :</u>
- The number of gallons for 2 miles = 62 gallons
- The number of gallons for 4 miles = 124 gallons
- The number of gallons for 10 miles = 310 gallons
Let, the number of gallons for 18 miles = 'x' gallons
<u>To find x :</u>
compare the given data with the unknown data,
62 gallons / 2 miles = x gallons / 18 miles
keep x alone on one side,
x = (62×18) / 2
x = 31×18
x = 558 gallons
Therefore, 558 gallons are used to drive 18 miles.
14.5% = 0.145
Step-by-step explanation:
The term 'percent' (%) actually means per 100. So when you say 14.5% it means 14.5 per 100. So when you put that into an equation it actually means:
So when you solve it, 14.5% is actually 0.145 and not 14.5.
Your friend is then incorrect because:
14.5% ≠ 14.5
The answer is that his average is 75.5 for the second nine weeks