⦁ Provide reasons for the proof. ⦁ Given: < 4 supplementary < 2
⦁ Prove: x || y
⦁

Statement Reason
1. < 4 supplementary < 2 1. Given
2. m < 4 + m < 2 = 180º 2.
3. < 4 supplementary < 1 3.
4. m < 4 + m < 1 = 180º 4.
5. m < 4 + m < 2 = m < 4 + m < 1 5. Substitution property
6. m < 2 = m < 1 6. substraction property
7. 7.
8. x || y 8.

the graph on the bottom right

the answer is d on edge

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