Maggie is making a necklace using a 13-inch string and identical beads.
Maggie has a placed 12 beads next to each other starting at the left end of the string as shown in figure. The 12 beads fill 3 inches of the string.

Part A
How many total beads will completely fill the 13-inch string?

Enter your answer in the box.


Part B
After filling the string from end to end, Maggie decides to leave one inch at each end of the string with no beads. How many beads does she need to remove from the beads she used to completely fill the string?

Enter your answer in the box

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

6.(q^9)^2 a. 2q^18 b. q^18 c. q^81 d.q^11 7.(6q^6)^-4 a. 6q^1296 b. 1296q^2 c. 1/1296q^24 d. 6q^-24 8. what is the value of 12x^-3 y^-1 for x = -1 and y = 5? a. -12/5 b.-10 c.-0 d.5/12 9. (y^-5)^10y^10 a. y^-60 b. y^60 c. y^-150 d. y^150 find the simplified form of each expression. 10. (4/7^5)^2 a.8/14^10 b.16/49^25 c.16/49y^10 d.8/14y^25 11. determine if the number 3.43 times 10^-6 is written in scientific notation. if not, explain. a. yes; the number is written scientific notation. b. no; the first factor is not a number between 1 and 10. c. no; it is not written as a number times a power of 10

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2