Collect like terms
x + 4x - 4 = 9 - 2 x - 6
move the terms
5x - 4 = 3 - 2x
collect like terms calculate
5x + 2x = 3 + 4
7x = 7
answer is x = 1
The point D transformed into S
The point E transformed into R
The point F transformed into U
The lengths are angles didn't change as result of the transformations (rotation and translation do not change the shape nor dimensions). Then, the resulting triangle is congruent to the original triangle.
Using the same order for the letters, you might say that ΔDEF ≅ ΔSRU
Answer:
simple interest is $6.8
Miguel pay amount to Julio at the end of 6 months $206.8
Step-by-step explanation:
Given : Miguel Rodriguez borrowed $200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8%.
To Find : a) How much will the interest amount to?
b) What amount must Miguel pay Julio at the end of 6 months?
Solution :
Formula for simple interest :

Where rate is in decimal
Time is in years
So, rate of interest = 6.8 % = 0.068
Time = 6 months = 
Principal = $200
Thus 

Now To calculate amount must Miguel pay Julio at the end of 6 months
Amount = principal +Simple interest
Amount = 200+6.8 =206.8
Hence the simple interest is $6.8
And Miguel pay amount to Julio at the end of 6 months $206.8
What table? Maybe if you include the table and the question I could help you more
Answer:

Step-by-step explanation:
The triangle is a right triangle.
We can use trigonometric functions to solve the problem.
tan θ = opp/adj
tan 30 = y/(4√3)
y = 4√3 tan 30
y = 4