If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

Cross multiplying 4 & 3 gives :-

And solving this eqn. gives :-

Verification :-

(putting the value of x = -26 )

Reducing    by 7 gives   .

d

step-by-step explanation:

d

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°