Jamar has 18 nickels and 14 dimes in his piggy bank. select all the statements that are true about the relationship between the number of nickels and dimes in jamar’s piggy bank. a: for every 9 nickels in jamar's piggy bank, there are 7 dimes. b: for every 18 nickels in jamar's piggy bank, there are 32 dimes. c: the ratio of dimes to nickels is 14 to 32. d: the ratio of nickels to dimes is 18: 14.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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