X is directly proportional to y. work out the missing values, p and q, in the table

p = 21, and q = 30

Step-by-step explanation:

If x is directly proportional to y, then we know:

y = 35x / 60

We can factor 5 out of that, giving us:

y = 7x / 12

We can also find the inverse of that relationship:

y = 7x / 12

12y = 7x

x = 12y / 7

So in the second row, where x = 36:

y = 7 × 36 / 12

y = 7 × 3

y = 21

And in the third row where y = 17.5:

x = 12 × 17.5 / 7

x = 210 / 7

x = 30

So p = 21, and q = 30

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh