X is each friend
3x + 28 > 200
3x > 172
x > $57.33
Answer: Part 1: 111.24
Part 2: 9.27
Part 3: 54 minutes
Step-by-step explanation:
Part 1: Since you already know that the total bill increases by 3%, you just have to find 103% of 180.
1.03*108= 111.24; your answer would be 111.24 pounds
Part 2: Since you already know yearly, 111.24 divided by 12= 9.27 per month
Part 3: First find 73% of 200 which is 146. Then subtract that from 200 which is 54. So you have 54 minutes left.
Answer:△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
A rigid motion of the plane is a motion which maintain distance.
Translation is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance.
A reflection is also a kind of rigid motion . It is mainly a 'toss' of a shape across the line of reflection.
So,△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) ( which is a translation.) followed by (x,y)→(x,−y)(which is reflection),therefore it is a sequence of rigid motions.
