What is the value of x?

x= ??

X=50

Step-by-step explanation:

Because the top and bottom angles are formed by 2 intersecting lines, we know that the angles are equivalent to each other via the vertical angle theorem. This allows us to set the following equation:

[2(x+10)]=(3x-30)

You would then distribute the 2 on the left side to get

2x+20=3x-30

Then, simply combine like terms.

20+30=3x-2x

Simplify.

50=x

The answer is therefore 50.

for the points! : )

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.