Complementary and Supplementary Angles Instruction

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Proving the Congruent Supplements Theorem

Ty

Statements Reasons

Given: 21 and 22 are supplements, 23

and 24 are supplements, and

21 24

Prove. 22 23

m2 1 = m24

m2 = m23

m2 1 + m2 = 180

212 24

m2 1 + m2 2 = m_3+ m21

m 1 + m22 = 23+ m24

Reasons

/

1. given

Statements

✓ 1.21 and 22 are supp

✓ 2.23 and 24 are supp

✓ 3. m23 + m/ 4 = 180

MEA

2. given

3. def. of supplementary angles

Hint

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

answer:

a=9

step-by-step explanation: lmk if you need a 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