130 degrees would be the correct answer
Explanation: it is an obtuse angle
Solve the following system:
{y = x - 1 | (equation 1)
{2 x - y = 0 | (equation 2)
Express the system in standard form:
{-x + y = -1 | (equation 1)
{2 x - y = 0 | (equation 2)
Swap equation 1 with equation 2:
{2 x - y = 0 | (equation 1)
{-x + y = -1 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x - y = 0 | (equation 1)
{0 x+y/2 = -1 | (equation 2)
Multiply equation 2 by 2:
{2 x - y = 0 | (equation 1)
{0 x+y = -2 | (equation 2)
Add equation 2 to equation 1:
{2 x+0 y = -2 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 2:
{x+0 y = -1 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = -1
{y = -2
The two consecutive integers are 21 and 22.
<h3>
How to find the two consecutive integers?</h3>
Two consecutive integer numbers can be written as x and x + 1.
The lesser of these two numbers is x, and we know that it is 10 more than one-half of the greater integer, then we can write:
x = 10 + (x + 1)/2
Now we can solve that equation for x:
x = 10 + (x + 1)/2
2x = 20 + (x + 1)
2x = 21 + x
x = 21
Then the lesser number is x = 21 and the larger number is x + 1 = 22
If you want to learn more about integer numbers:
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C.
You can simplify 12:21 to 4:7 by dividing 12 by 3 to get 4 and by dividing 21 by 3 to get 7. Because dividing both those numbers in the one ratio by 3 gives you the other ratio, they are a proportion.
Answer: 54 R 1 or 54/4 or 13 R2
Step-by-step explanation:
