The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister is 4 to 9. Lucas sent 72 text messages. How many text messages did his sister send?

The number of text messages sent by his sister=162

Step-by-step explanation:

Step 1

The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister =4 to 9= 4:9

Number of text messages sent by Lucas =72

Total ratio is given as 4+ 9= 13

Step 2

such that the total number of messages sent by Lucas and by his sister will be calculated as

Ratio of text messages sent by Lucas/  total ratio x Total messages  = Number of text messages sent by Lucas . Let X = Total number of messages  

4/13 x X = 72

X=72  x 13 / 4 =234

Therefore, The number of text messages sent by his sister= ratio of  text messages sent by his sister/ Total ratio x Total number of messages  =

9/13  X 234= 162 messages

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)

step-by-step explanation:

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