How many degrees are in the measure of the smaller angle formed by the hour and minute hands of a clock when the time is 7 p. m.?

There are 12 hours on a clock, so each hour mark is 360/12 = 30 degrees from its neighbors. At 7:00, the minute hand points at the 12, while the hour hand points at hour 7. So, the hands are 5 "hours" apart, which means that the angle between the hands is 5 * 30 = 150 degrees.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40