Teresa says she washes 5 dishes by hand every 7 min

22.62°

Step-by-step explanation:

Looking at the attached diagram, it is a right angled triangle. If we are to solve for the measure of angle x , we would be using the Trigonometric function of cosine

The formula is given as

cos x = Adjacent/ Hypothenuse

Adjacent = 12

Hypothenuse = 13

Therefore,

cos x° = 12/13

x° = cos -¹ (12/13) or arccos (12/13)

x° = 22.619864948°

Therefore, the measure of x to the nearest hundredth = 22.62°