You are able to bike 20 miles in the same time that your friend ran 3 miles. if your speed was 5 miles per hour faster on average than your friend's speed, what was the average speed of your friend?

Step-by-step explanation:

Givens

d = 20 for the bike

d1 = 3 for the person

rate of person = r

rate of bike = r + 5

Formula

d = r*t;  t = d/r

Solution

t is the same for both

20/(r + 5) = 3/r                  Cross multiply

20*r = 3*(r + 5)                  Remove the brackets.

20*r = 3r + 15                    Subtract 3r from both sides.

20r - 3r = 3r - 3r + 15        Combine

17r = 15                               Divide by 17

r = 15/17

r = 0.8824 miles per hour running

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes