An illustration shows three rays from a common vertex with labeled angles. The first ray is inclined to the horizontal left of the common vertex with an arrow at the end. The second ray is inclined to the horizontal right of the common vertex with an arrow at the end. The third ray is to the top right of the common vertex with an arrow at the end. It is between the other two rays. The angle between the first and the third rays is labeled as left parenthesis 5 x minus 25 right parenthesis degrees. The angle between the second and third rays as labeled as 55 degrees.
Write an equation for the two adjacent angles.
(2 points)
Apologies for the confusion in my previous responses. Let's write the equation for the two adjacent angles using the given information.
Let's call the angle between the first and third rays as "x" degrees.
The angle between the second and third rays is given as 55 degrees.
Since the sum of angles around a vertex is 180 degrees, we can write the equation:
(5x - 25) + 55 = 180
Simplifying this equation, we get:
5x - 25 + 55 = 180
Combining like terms:
5x + 30 = 180
Subtracting 30 from both sides:
5x = 150
Dividing both sides by 5:
x = 30
Therefore, the value of x is 30. So, the equation for the two adjacent angles is:
(5(30) - 25) + 55 = 180
Yes, the full equation is (5x - 25) + 55 = 180.
Let's call the angle between the first and third rays x degrees. Since the angle between the second and third rays is 55 degrees, the angle between the first and second rays would be 180 degrees - (x + 55 degrees) because the sum of angles around a vertex is 180 degrees.
Therefore, the equation for the two adjacent angles would be:
x + (180 - (x + 55)) = 180 - (x + 55)
Simplifying this equation, we get:
x + 125 = 125 - x
Combining like terms, we get:
2x + 125 = 125
Subtracting 125 from both sides, we get:
2x = 0
Finally, dividing both sides by 2, we get:
x = 0.
So, the two adjacent angles are both 0 degrees.
The equation is as shown; (5x-25) + 55 = ___
The equation is (5x - 25) + 55 = ___.
To simplify this equation, we can combine like terms:
5x - 25 + 55 = ___
When we add -25 and 55, we get 30:
5x + 30 = ___
Thus, the simplified equation is 5x + 30 = ___.
Wrong.
Apologies for the mistake. Let's go through the equation again.
The equation is (5x - 25) + 55 = ___.
To simplify this equation, we can combine like terms:
5x - 25 + 55 = ___
When we add -25 and 55, we get 30:
5x + 30 = ___
Therefore, the simplified equation is 5x + 30 = ___.
solve for x
To solve for x, we'll continue simplifying the equation:
5x + 30 = ___
To find the value after the equals sign, we need additional information or the full equation. As the equation is currently written, we don't have enough information to determine the result.