Arlene makes a necklace using 14 purple beads for every 6 silver beads. the necklace contains 18 beads. how many of each color bead are in the necklace?

5.4 numbers of purple beads and 12.6 numbers of silver beads.

Step-by-step explanation:

Arlene makes a necklace using 14 purple beads for every 6 silver beads. So, she uses purple and silver beads in the ratio 14 : 6 = 7 : 3.

Now, the necklace contains 18 beads, then in the ratio 7 : 3, there will be numbers of purple beads and (18 - 5.4) = 12.6 numbers of silver beads. (Answer)

G. m∠ABD = 54°

H. m∠DBC = 126°

I. m∠XYW = 40°

J. m∠WYZ = 50°

Step-by-step explanation:

∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.

m∠ABD = 1/2(68) + 20 = 34 + 20 = 54

m∠DBC = 2(68) - 10 = 136 - 10 = 126

Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.

m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40

m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50