After resuming as the leader of the Ostrogoths, Theodoric in 493 killed his brother became Lord of the land, and refused to submit Italy to the Roman Emperor. According to history, it made no sense to him to continue to submit to an emperor in Rome that was far away and who didn't have any interest in Italy but to siphon it.
<h3>Who was Theodoric?</h3>
Also known as Theodoric the Great, or as Flavius Theodoricus, he was the King of the Ostrogoths.
Under the direction of the Roman Emperor - Zeno, he has invaded Italy and removed the incumbent King - Odoacer.
See the link below for more about Theodoric:
brainly.com/question/19569498
Answer:
After 6 months, Casey would pay $360 to join either gym.
Step-by-step explanation:
At the first gym, the cost is $35 per month in addition to a $150 joining fee. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 35x + 150
At the second gym, the cost is just $60 per month. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 60x
Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:
35x + 150 = 60x
Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x
Divide both sides by 25: 150/25 = 25x/25 or x = 6
So, after 6 months, the cost would be same. The find the cost, replace 'x' with 6 in one of the equations: c = 60(6) = $360.
Answer:
missing side = 50
Step-by-step explanation:
using Pythagoras theorem,
30² + 40² = (missing side)²
900 + 1600 = (missing side)²
(missing side)² = 2500
missing side = √2500
missing side = 50
