At a local park, Sue can choose between two circular paths to ride her bicycle. One path has a diameter of 140 yards, and the other has a radius of 50 yards. Sue is curious about two things. She wants to know how much farther she can ride her bike on the longer path than the shorter path if she rides her bike around the path once? Sue also wants to know how big of an area each circle covers. Use 3.14 for π. Part A: Using the formula for circumference, find the circumference of both paths. (4 points) Part B: Use the formula for area and solve for the area of each circle. (4 points) Part C: How much farther can she ride his bike on the longer path if she goes around one time? (2 points)

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

yes. we do proportions in probabilities.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!