A garden table and a bench cost $1000 combined. The cost of the garden is three times the cost of the bench what is the cost of the bench

The cost of the bench is $250

Step-by-step explanation:

let garden table be g

let bench be b

so we have: g+b = $1000 and g = three times of b, that is g = 3b. substitute the value of g = 3b into g+b = $1000, therefore 3b+b = $1000

4b = $1000

b = $1000\4

b = $250.

∠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°