Triangle ABC is translated using the rule (x, y) → (x + 1, y − 4) to create triangle A′B′C′. If a line segment is drawn from point A to point A′ and from point B to point B′, which statement would best describe the line segments drawn? They share the same midpoints. They create diameters of concentric circles. They are parallel and congruent. They are perpendicular to each other.

$15 each

step-by-step explanation:

$45/3 children= $15 each

the answer is 8/21

hope this

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