The ratio of wins to losses the steelers have over the bengals is 5: 1. if they have played each other 48 times in the past 15 years, how many times have the steelers won? how many games have they lost?

Number of games won by Steelers = 40

Number of games lost by steelers = 8

Step-by-step explanation:

Ratio of wins to losses the Steelers have over the Bengals = 5:1

Total number of games the have played each other in past 15 years = 48

Let number of games won by Steelers be =

Let number of games lost by Steelers be =

Total number of games played  =

So, we have

    [Total number of games played]

Dividing both sides by 6.

∴

Number of games won by Steelers =

Number of games lost by steelers = 8

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus