27 is the answer I believe
Since complementary angles add to 90°, (4x - 1) and (5x + 19), also add to 90°.
Thus, lets form an equation:
90 = 5x + 19 + 4x - 1
72 = 9x
x = 9
Thus, the measure of angle B is 64°.
Your correct. It is what you put down
First, let's add all the x's.
x + x + x + x + x = 5x
5x - 1 + 1 + 1 + 1
Now, let's add together all the 1's that are being added (not the 1 that is being subtracted from 5x).
1 + 1 + 1 = 3
5x - 1 + 3
3 - 1 = 2
5x + 2
There's no way you can actually solve this unless you know the value of x; without x's value, this is as simplified as the expression is going to get.
Hope this helps!
Let :
T = Theresa age
H = her brother
We know :
T = H - 14
T + H = 35
Substitute T
H -14 + H = 35
2H - 14 = 35
2H = 49
H = 49/2 = 24.5
Since we know H = 24.5 we then can substitute it to either equation.
T = H - 14
T = 24.5 - 14
T = 10.5
Theresa is 10.5 years old
Her brother is 24.5 years old