Help me please!! I dont understand.

A) x = 7

B) mWX = 135

C) mYW =  214º

D) mYX = 79

E) mVXW = 304º

Step-by-step explanation:

A circle is 360º and a right angle is 90º. If we take 90º from 360º we know all of the missing sides add up to equal 270º.

So if we combine the terms of all the equations given, you should have an equation of 39x - 3 = 270.

To keep the equation balanced but also get x by itself you're going to add 3 to both sides to get 39x = 273.

Then you're going to divide both sides by 39 to get x = 7

Now all you do is plug in your new x (7) to all of the equations.

mVW (8(7)) = 56

mWX (21(7) - 12) = 135

mYX (10(7) + 9) = 79

To find mYW we're going to add 135º from mWX and 79º from mYX. This is going to give us 214º for mYW.

For mVXW all we're going to do is simply subtract mVW, which was 56º, from 360º to get 304º

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.