Geometry-10th Grade-Paralellograms can you solve for x?(25 points)

x = 5 1/3

Step-by-step explanation:

AD // BK

∠DAk ≅ ∠BKA  ≅ ∠KAB     ∴ AB = 10 = BK = BC + CK = 6 + CK

∴ CK = 4

ΔKFC similar to ΔAFD   (AAA)

KC / KD = KF / (FE + EA)        4/6 = 2/3 = x / (3 + y)

3x = 6 + 2y --- (1)

ΔAED similar to ΔKEB   (AAA)

AE / EK = AD / BK        y / (3 + x) = 6 / 10 = 3 / 5

3x + 9 = 5y          3x = 5y - 9-------- (2)

6 + 2y = 5y - 9

3y = 15        y = 5

x = (5 x 5 - 9) /3 = 16/3 = 5 1/3

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.