Can someone me with these questions? asap!

first question

B) 145

second question

AB = 24

Step-by-step explanation:

first question

<R = <STQ = 35 (corresponding angles)

<STR = 180 - 35  = 145

second question

Lets AB = x

10/8 =  30/x

10x = 240

   x=  24

So AB = 24

ddd

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