I need help math work (geometry) :P​

x = 6

Step-by-step explanation:

For the triangles to be similar then the ratios of corresponding sides would be equal, that is

= , substitute values

= ( cross- multiply )

3(x - 1)² = 75 ( divide both sides by 3 )

(x - 1)² = 25 ( take the square root of both sides )

x - 1 = ± = ± 5 ( add 1 to both sides )

x = 1 ± 5 , then

x = 1 + 5 = 6 or x = 1 - 5 = - 4

But x > 0 then x = 6

For the triangle to be similar then x = 6

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.

step-by-step explanation:

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