1. -2x + 8 = 2x + 4
2. 3x + 7 - 2x = 4x + 10
3. 4x + 8 = 3(x - 1) + 12
4. 7x - 2 = 9x + 10

4.

3.

2.

1.

Step-by-step explanation:

4. 7x - 2 = 9x + 10

- 9x + 2 - 9x + 2

_____________

3. 4x + 8 = 3(x - 1) + 12

4x + 8 = 3x - 3 + 12

4x + 8 = 3x + 9

- 4x - 9 - 4x - 9

____________

2. 3x + 7 - 2x = 4x + 10

x + 7 = 4x + 10

- 4x - 7 - 4x - 7

____________

1. −2x + 8 = 2x + 4

- 2x - 8 - 2x - 8

____________

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answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

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