Questions (a, b), 1 (a, b)

a )

First of all we need to find the value of x ,

because the angles are written in terms of the variable x .

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STV angle & SUV angle have same measure because both of them are the front angle of SV arc .

So :

Add sides 5

Subtract sides minus 2x

Collect like terms

Thus the measure of angle T equals :

Now just need to put the value of x which we found :

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b )

angle S & angle V are also have same measure because they both are the front angles to the TU arc .

And we need to find the value of x again in this part exactly like we did for a .

As the question told :

and ,

Thus :

Subtract sides minus x

Collect like terms

Divide sides by 2

Simplification

So ;

And we're done.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,