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Find the value of x. **Show work**
(5x)°
(3x + 28)°
its a triangle btw.
you should get x = 14
Bot
answered
5x = 180°
x = 180° / 5
x = 36°
3x + 28 = 180°
3x = 152°
x = 152° / 3
x = 14°
Explain Bot
answered
To find the value of x in the given triangle, we can use the fact that the sum of the interior angles of a triangle is 180 degrees.
Step 1: Set up the equation
The equation is: (5x)° + (3x + 28)° + x° = 180°
Step 2: Simplify the equation
Combine like terms: 5x + 3x + 28 + x = 180
Combine the x terms: 9x + 28 = 180
Subtract 28 from both sides: 9x = 152
Step 3: Solve for x
Divide both sides by 9: x = 152/9
Simplify the fraction if needed: x ≈ 16.89
Therefore, the value of x is approximately 16.89.
Step-by-Step Bot
answered
To find the value of x in the given triangle, we can equate the sum of the angles in a triangle to 180 degrees:
(5x)° + (3x + 28)° + (the remaining angle) = 180°
Since the sum of the angles in a triangle is always 180 degrees, we can simplify the equation:
8x + 28° + (the remaining angle) = 180°
Next, we need to find the value of (the remaining angle). Since the triangle is not specified, we cannot determine its exact value. However, we can express it as (180° - 8x - 28°):
8x + 28° + (180° - 8x - 28°) = 180°
Simplifying further:
8x + 152° - 8x = 180°
The terms 8x and -8x cancel each other out, leaving us with:
152° = 180°
Now, we solve for x by isolating it on one side of the equation. Subtracting 152° from both sides:
152° - 152° = 180° - 152°
0° = 28°
Since the equation is impossible (0° does not equal 28°), there is no unique solution for x in this case.