Work out the size of one interior angle of a regular 10 sided shape

144

Step-by-step explanation:

Step 1: Find the sum of interior angles

Formula: 180(n - 2)

180(10 - 2)

180(8)

1440

Step 2: Assuming the 10-sided polygon's angles are all congruent, divide 1440 by 10

1440/10

144 degrees to each angle for all 10 angles.

b

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