Answer:
x is equal to 7
Step-by-step explanation:
Because the two horizontal lines are parallel, we know that the angles at which they intersect the diagonal line will be identical.
We also know that on either side of the diagonal line, the sum of the angles between that and either of the horizontal lines will be 180.
In short, we know that the two values given have a sum of 180. With that we can quickly solve for x:
(x + 67) + (x + 127) = 180
2x + 194 = 180
2x = -14
x = 7
Answer:
Given all right triangles
<u>Use Pythagorean to find the missing side:</u>
- a² + b² = c², where c- hypotenuse
=1=
- x² = 6² + 3² = 45
- x = √45
- x = 6.7
=2=
- x² = 12² + 5² = 169
- x = √169
- x = 13
=3=
- x² = 2² + 5² = 29
- x = √29
- x = 5.4
I don't think there's any answer. It says that the absolute value of x-7 is negative 2, but an absolute value is always positive. So there's no value for x that can make the equation a true statement.
Using the distribution method:
x^2 + 12x - 8x = 14 + x^2 - 4x
x^2 + 4x = x^2 - 4x + 14
Now, I'm isolating x by moving all the x's onto one side of the equation:
x^2 - x^2 + 4x + 4x = 14
Combine like terms (x^2 cancels out):
8x = 14
x = 14/8
Simplified: x = 7/4
