Can you tell me the step-by-step way to do this problem please?

If we need to find measure of each acute angle (<90) then here u go:

so u have 2 acute angles and 1 right angle which equals 90°.

you also know that sum of 3 angles equals 180°.

sum of these two acute angles will be equal to 90° (subtract right angle from 180)

make equality:

first acute angle+second acute angle=90°

(7x+6)+(6x-7)=90

13x-1= 90. (Just open brackets)

13x=91. (add 1 to both sides)

x=91/13

x=7

now you just have to put x value inside

(7x+6)°=7×7+6=49+6=55°

and

(6x-7)°=6×7-7=35°

answer: 5

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