find the value of x in the expressions if a=3x+51 and b=6x-15

Answer 1

To find the value of x in the expressions, we can equate the given values of a and b to the expressions given. Let's set up the equations:

a = 3x + 51
b = 6x - 15

Now, we can solve for x by setting these two equations equal to each other:

3x + 51 = 6x - 15

To solve for x, we need to simplify this equation:

Subtracting 3x from both sides:
3x - 3x + 51 = 6x - 3x - 15
51 = 3x - 15

Adding 15 to both sides:
51 + 15 = 3x - 15 + 15
66 = 3x

Now divide both sides by 3 to solve for x:
66/3 = 3x/3
22 = x

Therefore, the value of x in the given expressions is x = 22.

Answer 2

Find the value of B if C=106°

Answer 3

To find the value of B if C = 106°, we need to use the fact that the sum of the angles in a triangle is equal to 180°.

In a triangle, we have:
A + B + C = 180°

Substituting the given value C = 106°, we have:
A + B + 106° = 180°

Now, we can solve for B by rearranging the equation:

B = 180° - 106° - A

Therefore, the value of B is 180° - 106° - A.