The angles are supplementary so they add up to 180 degrees. The equation would be
x + 3x + 54 = 180
4x = 180-54
4x = 126
x = 31.5 degrees
1st angle is 31.5 degrees
2nd angle is 3x+54 = 148.5 degrees.
To check 148.5+31.5 = 180
The equation will look like this..
Y= -2/3x
There is no need to add a plus zero because the equation doesn't need it. The slope is always follow by the X.
Answer:
There are <u>2.22 grams</u> of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay = ![\frac{4}{10} \ kg.](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B10%7D%20%5C%20kg.)
So, by using conversion factor we convert it into grams:
![\frac{4}{10} \times 1000\\\\=\frac{4000}{10} \\\\=400\ grams.](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B10%7D%20%5Ctimes%201000%5C%5C%5C%5C%3D%5Cfrac%7B4000%7D%7B10%7D%20%5C%5C%5C%5C%3D400%5C%20grams.)
Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
![\frac{888}{400}](https://tex.z-dn.net/?f=%5Cfrac%7B888%7D%7B400%7D)
![=2.22\ grams.](https://tex.z-dn.net/?f=%3D2.22%5C%20grams.)
Therefore, there are 2.22 grams of clay are in each pot.
Answer:
Y=√2
Step-by-step explanation:
We can use the pathagorian theorum: A²+B²=C² now in this case it would be X²+Y²=2² we also know that X and Y are the same number in this problem because they have the same corresponding angle (triangle angles always add to 180 and since we know 2 of the angles are 45 and 90 the remaining angle will also be 45) Because of this we can change our equation to Z²+Z²=2² (I'm using Z so that we do not confuse it with another letter we've already used) from there we can go to Z∧4=2² and then we will solve the equation. Z=√2 Z also equals X and Y therefore Y=√2
I hope this helps and please let me know if there is anything you don't understand I would be happy to clarify!