If angles of a triangle are 3x , 2x-7 and 4x - 11 then find the value of x

Work Shown:

The three angles of any triangle always add up 180 degrees.

(angle1) + (angle2) + (angle3) = 180

(3x) + (2x-7) + (4x-11) = 180

(3x+2x+4x)+(-7-11) = 180

9x-18 = 180

9x-18+18 = 180+18 add 18 to both sides

9x = 198

9x/9 = 198/9 divide both sides by 9

x = 22

angle1 = 3x = 3*22 = 66 degrees

angle2 = 2x-7 = 2*22-7 = 37 degrees

angle3 = 4x-11 = 4*22-11 = 77 degrees

66+37+77 = 180, so the answer is confirmed

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!