23 What is the measure of the smaller angle formed by the ha

23) What is the measure of the smaller angle formed by the hands of a clock when it shows the time is 5 p.m. a) 150 b) 210 c) 140 d) 180 e) 120 24) Tanner says that (j-k) sf k. Which of the following values of jand k show that this is false? 0 b) 3 0 c) -3 0 d) 0 e) -3 3 25) Which of the following tables satisfies the equation y 3x +5? b) 33 1 3 14 d) L x Ly e) X 2 14 48 -14 26) If 358.76 is divided by 10, what number will be in the 10th place? e) 6 a) 8 b) 5 c) 3 d) 7

Solution

23) Measure of angle made by smaller hand = (5/6)*180 = 150 deg

24) (j - k)^2 <= j^2 + k^2

j = -3 ; k = 3

So, ( -3 -3)^2 <= (-3)^2 + (3)^2

36 <= 9 + 9

For this value of j = -3 and k = 3the inequality fails

25) y = 3x + 5

Check which part has the slope =3 = (y2-y1)/(x2 -x1)

a) m = (-5 +1)/(0 +2) = -4/2 = -2 --- No

b) m = (2+1)/(-1+2) 3 --- Yes

c) m = (1-0)/(3-2) = 1 --- No

d) m = (14-8)/(2-1) = 6 --- No

e) No

Table b) satisfies y = 3x +5