Enter T or F depending on whether the statement is a true proposition or not. (You must enter T or F -- True and False will not work.) F 1. 290 is divisible by 17 T2. 360 divides 20 F3. 16 divides 208 F4. 10∣181 F5. 17 divides 171 F6. 176∣16 F7. 33653 is divisible by 188 F8. 17878 is divisible by 177 F9. 13∣221

(1) F          (5) F            (9) T

(2) F          (6) F

(3) T          (7) F

(4) F          (8) F

Step-by-step explanation:

(1)

290 is divisible by 17.

On dividing 290 by 17 there is a remainder left, i.e. 1.

Thus, this statement is False, F.

(2)

360 divides 20.

On dividing 20 by 360 the result are in fractions.

Thus, this statement is False, F.

(3)

16 divides 208.

On dividing 208 by 16 there is no remainder left.

Thus, this statement is True, T.

(4)

10 | 181

On dividing 181 by 10 there is a remainder left, i.e. 1.

Thus, this statement is False, F.

(5)

17 divides 171

On dividing 171 by 17 there is a remainder left, i.e. 1.

Thus, this statement is False, F.

(6)

176 | 16

On dividing 16 by 176 the result are in fractions.

Thus, this statement is False, F.

(7)

33653 is divisible by 188

On dividing 33653 by 188 there is a remainder left, i.e. 1.

Thus, this statement is False, F.

(8)

17878 is divisible by 177

On dividing 17878 by 177 there is a remainder left, i.e. 1.

Thus, this statement is False, F.

(9)

13 | 221

On dividing 221 by 13 there is no remainder left.

Thus, this statement is True, T.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

(23*2)-12=x     x=34

step-by-step explanation: