The larger of two numbers is eight more than twice the smaller. the sum of the numbers is 10 less than three times the larger. find the numbers.

-2 and 4

Step-by-step explanation:

Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.

x = 2y + 8

x + y = 3x - 10

Now, we put the value of x into the second equation.

2y + 8 + y = 3(2y + 8) - 10

Now we can solve for y

3y + 8 = 6y + 24 - 10

3y + 8 = 6y + 14

8 = 3y + 14

-6 = 3y

-2 = y

Now that we have the smaller number, we can put it into the first equation and solve for the larger.

x = 2*-2 + 8

x = -4 + 8

x = 4

So your two numbers are -2 and 4.

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

7

step-by-step explanation: