Why is the slope of line segment AC the same as the slope of line segment DF in the figure below? A. because AB/EF=BC/DE? .
B. because AB/DE=BC/DF ?.
C. because AB=EF ?.
D. because BC=DE?.

Answer A because AB/EF=BC/DE?

Step-by-step explanation:

This is due to the properties of similar triangles ABD and FED where ratio of corresponding sides between similar triangles are constant.

50x5=$250

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places