1.complete the column of proof given < b=< d, m< b=80 prove < c=100 2.complete the paragraph proof given< a  a=and < b are complementary and < b  and < c are complementary  proof < a =< c

The first question probably has a drawing that is not included. Can you please include whatever drawing cam with it?

The Qeustion 2:

starting with writing the complementary angles:

The angles <a and <b being complementary means that

<b = 180 - <a

The angles <b and <c are complementary - that means

<c = 180 - <b

now plug in the first equation for <b to get:

<c = 180 - (180 - <a) = 180-180+<a= <a

so

<c = <a

which was to be proved!

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