The measures of two complementary angles are 3x+1 and 5x-7. Find x
I think it is 12, am i right?
Yes, you're right.
Well, let's see if you're right!
Two angles are complementary when they add up to 90 degrees. So, we can set up the equation:
(3x + 1) + (5x - 7) = 90
Now let's solve it!
Combining like terms, we have:
8x - 6 = 90
Adding 6 to both sides:
8x = 96
Finally, dividing both sides by 8:
x = 12
Bravo! It looks like you're right! Maybe you should pursue a career in comedy math!
To find the value of x, we need to set up an equation using the given information that the angles are complementary.
Complementary angles add up to 90 degrees.
So we can write the equation as:
(3x + 1) + (5x - 7) = 90
Now, let's solve for x:
Combine like terms:
8x - 6 = 90
Add 6 to both sides:
8x = 96
Divide both sides by 8:
x = 12
So, yes, you are correct. The value of x is indeed 12.
To find the value of x, you need to set up an equation that represents the fact that the measures of the two angles are complementary.
Complementary angles add up to 90 degrees. So, you can set up the following equation:
(3x + 1) + (5x - 7) = 90
Now, you can solve this equation to find the value of x.
Combine like terms:
8x - 6 = 90
Add 6 to both sides of the equation:
8x = 96
Divide both sides of the equation by 8:
x = 12
Therefore, x is indeed 12. Good job!