Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
Answer:
8 groups.
Step-by-step explanation:
We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.
To solve this problem we will find GCF of 24 and 8.
Factors of 24 are: 1,2,3,4,6,8,12 and 24.
Factors of 8 are 1,2,4 and 8.
We can see that greatest common factor of 24 and 8 is 8.
Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.
Let's say her speed was x miles/hour during the first 3 miles runThen, time = distance/speedt1 = 3/x eq1 In the next 4 miles run, her speed = x-1 miles/hourTime taken:t2 = 4/(x-1) eq2 Now, total time:t1 + t2 = 1 3/5 hourssubstitute t1 and t2 from eqs. 1 and 2 3/x + 4/(x-1) = 1 3/5=> 3/x + 4/(x-1) = 8/5
=> 3(x-1) + 4x = 8x(x-1)/5=> 35x - 15 = 8x2 - 8x=> 8x2 - 43x + 15 = 0=> (8x-3)*(x-5) = 0=> x = 3/8 or 5 miles/hourx can not be 3/8 miles/hour because in that case, the speed during 4 miles run would be 3/8-1 = negative numberi.e. speed during 3 miles segment = 5 miles/hourand speed during 4 miles segment = 5-1 = 4 miles/hour
For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.
40 ÷ 5 = 8
It makes 8 copies every minute.
Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13.
8 • 12 = 96
8 • 13 = 104
Since those answers match up with the chart, it must be correct.
The photocopier makes 8 copies every minute. Hope that helps!
