Answer:
![x=10](https://tex.z-dn.net/?f=x%3D10)
Step-by-step explanation:
we know that
When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.
When the line are parallel the corresponding angles are equal in measurement.
so
In this problem
-----> by corresponding angles
see the attached figure to better understand the problem
Solve for x
Subtract 50 both sides
![8x=130-50](https://tex.z-dn.net/?f=8x%3D130-50)
![8x=80](https://tex.z-dn.net/?f=8x%3D80)
Divide by 8 both sides
![x=80/8](https://tex.z-dn.net/?f=x%3D80%2F8)
![x=10](https://tex.z-dn.net/?f=x%3D10)
Answer:
1.5x = 6
Step-by-step explanation:
This represents 1.5 times the amounts a bucket holds. (I'm assuming you mean x when you typed z)
Answer:
Mrs. Etercsid
Step-by-step explanation:
One thing we can do is just multiply the averages by the percents in each class and compare from there.
To get from percentages to decimals, we can divide by 100.
For Mr. Tats:
Homework: 25 % -> 0.25
Participation: 10% -> 0.1
Test: 40% -> 0.4
Final: 0.25 -> 0.25
For Mrs. Etercsid:
Homework: 15% -> 0.15
Participation: 10% -> 0.1
Test: 60% -> 0.6
Final: 15% -> 0.15
We can then multiply the averages by the decimals for each teacher and add them up.
Mr. Tats:
0.25 * 81 + 0.1 * 57 + 0.4 * 93 + 0.25 * 87 = 84.9
Mrs. Etercsid:
0.15 * 81 + 0.1 * 57 + 0.6 * 93 + 0.15 * 87 = 86.7
You would get the higher grade with Mrs. Etercsid