Answer:
6) 40°
7) 65°
8) 65°
Step-by-step explanation:
6) Total angle in a triangle is 180
180-70-70 = 40
7) y + 55 + 60 = 180
y = 65
8) 50 + n + n = 180
50 + 2n = 180
2n = 180 - 50
2n = 130
n = 130/2 = 65
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance.
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back
Answer:
84°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary:
∠A = 180° -96°
∠A = 84°
Find the mode from the given data a, c, b, b, a, c, a, b, c, a, c
anygoal [31]
Lets write the repeatations
- a=4times
- b=3times
- c=4times
a=c.
Hence this data has no mode.
Answer:
Johnny needs to score 98 on third test to raise average to 94
Step-by-step explanation:
Given that average of two tests is 92.
The score of next test has to be found that means there will be a total of 3 tests.
The average will be:
![Avg = \frac{test1+test2+test3}{3}](https://tex.z-dn.net/?f=Avg%20%3D%20%5Cfrac%7Btest1%2Btest2%2Btest3%7D%7B3%7D)
It is also given that he has to raise his average to 98
We have to use the average formula for finding the third value
So,
![94 = \frac{92+92+test3}{3}\\94*3 = 184+test3\\282 = 184+test3\\test3 = 282-184\\test3 = 98](https://tex.z-dn.net/?f=94%20%3D%20%5Cfrac%7B92%2B92%2Btest3%7D%7B3%7D%5C%5C94%2A3%20%3D%20184%2Btest3%5C%5C282%20%20%3D%20184%2Btest3%5C%5Ctest3%20%3D%20282-184%5C%5Ctest3%20%3D%2098)
Hence,
Johnny needs to score 98 on third test to raise average to 94