Find the values of x and y

y=5

x=30

Explanation: since all 3 angles of triangles are marked equal we can see that it is equilateral which means 8y=40 so y=5. Then we can find that the other triangle is an 120 30 30 triangle thus x is 30. You can also do this if you can see straight away that the big triangle is a 30-60-90 triangle and just use 90-60.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6