M∠1=(3x+8)°, m∠2=(3x+18)°, and m∠3=(7x+9)°. What is m∠3?

87.4°

Step-by-step explanation:

(3x + 8) + (3x + 18) + (7x + 9) = 180

3x + 8 + 3x + 18 + 7x + 9 = 180

add the common numbers

13x + 35 = 180

subtract 35

13x = 145

divide 13

x = 11.2

then plug it back in to m<3

7(11.2) + 9

78.4 + 9

= 87.4°

a) 0

step-by-step explanation:

i^413 x i^0 = 0 as any number multiplied by a zero is

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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