Priya followed this set of instructions to make quadrilateral ACBD . Choose a description you can be sure is accurate for the shape she constructed. 1) Draw 2 points: A and B. 2) Draw a circle centered at A with radius AB. 3) Draw a circle centered at B with radius AB 4) Label the intersection points of the circles C and D. 5) Draw segments AC , BC, AD , and BD. Select the correct choice.

The shape is rhombus.

Step-by-step explanation:

Priya followed this set of instructions to make quadrilateral ACBD .

First she draw 2 points: A and B. which are end points of a diagonal of quadrilateral ACBD .

She draw a circle centered at A with radius AB, then she draw a circle centered at B with radius AB. After that she labels the intersection points of the circles C and D.

It means the point C and D are equidistant from A and B.

Them she draw segments AC , BC, AD , and BD.

Here,

AC = AD = BC = BD           (C and D are equidistant from A and B)

Here all the sides of quadrilateral ACBD are equal.

We know that, if all sides of a quadrilateral are equal then it is a rhombus.

Therefore, the shape is rhombus.

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