View
The ratio of North American Butterflies to South American butterflies at a butterfly park is 7:4. The ratio of
South American butterflies to European butterflies is 4:2. There are 56 North American butterflies at the
butterfly park

How many European butterflies are there?

European butterflies = 16

Step-by-step explanation:

Let

North American butterflies = 7x

South American butterflies = 4x

European butterflies = 2x

Given that:

NA butterflies =56

∠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°