Think i got it
E= 75
F= 90
G= 25
The sum of the angles of any triangle is 180 degrees, so we get the equation:
![(70)+(60)+(8x+2)=180\\8x+132=180\\8x=48\\x = 6](https://tex.z-dn.net/?f=%2870%29%2B%2860%29%2B%288x%2B2%29%3D180%5C%5C8x%2B132%3D180%5C%5C8x%3D48%5C%5Cx%20%3D%206)
x = 6
Hope that helps!
<span>n = 11<span>.
Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.
Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.
Together, they sold n-10+n-2=2n-12 boxes.
We know that they sold less than n boxes, so our inequality would be
2n-12<n.
To solve this, subtract n from both sides:
2n-12-n<n-n; n-12<0.
Add 12 to both sides:
n-12+12<0+12; n<12.
This means there were less than 12 boxes. The next number down is 11; this woks because Mark sold 10 less than n; 11-10=1. Mark sold at least 1 box.
If n=10, however, 10-10=0; this doesn't work, because Mark did sell at least 1 box. </span></span>
Answer: it will take Sebastian's mom 45 minutes to catch up with the bus.
Step-by-step explanation:
By the time Sebastian's mom catches up with the bus, she would have covered the same distance with the bus.
Let t represent the time it will take for Sebastian's mom to catch up with the bus.
Distance = speed × time
Sebastian's school bus averages 28 miles per hour.
Distance covered by Sebastian's school bus in t hours is
28 × t = 28t
Sebastian's mom travelled at an average speed of 42mph. Since she left home 0.25 hour after Sebastian, the time it would take her to cover the same distance is
(t - 0.25) hour. Distance covered in
(t - 0.25) hour is
42(t - 0.25)
Since the distance covered is the same, then
28t = 42(t - 0.25)
28t = 42t - 10.5
42t - 28t = 10.5
14t = 10.5
t = 10.5/14
t = 0.75
Converting to minutes, it becomes
0.75 × 60 = 45 minutes
11 and 1. 11 times 1 = 11. I double-dare ya to find a different pair with a smaller product.