The formulas:
Expand the expression:
Plug the values into the expression:
Answer:
<h2>x = 14, z = 65</h2>
Step-by-step explanation:
The angles (5x - 5)° and (6x + 31)° are supplementary angles.
Supplementary Angles add up to 180°.
Therefore we have the equation:
5x - 5 + 6x + 31 = 180 <em>combine like terms</em>
(5x + 6x) + (-5 + 31) = 180
11x + 26 = 180 <em>subtract 26 from both sides</em>
11x = 154 <em>divide both sides by 11</em>
x = 14
The angles (5x - 5)° and z° are vertical angles.
Vertical angles are congruent.
Therefore we have the equation:
z = 5x - 5 <em>put x = 14 to the equation</em>
z = 5(14) - 5
z = 70 - 5
z = 65
Equation: a^2 + b^2 = c^2
18^2 + 16^2 = c^2
324 + 256 = c^2
C^2 = square root 580
Square root 580 reduces to 2 square root 145.
As a decimal that is: 24.08
Rounded to the nearest tenth: 24 inches.
I hope this helps! If it does please offer me the brainiest!
45 + 30 = 15(3 + 2) = 15(5) = 75
I got 24 as the answer to ur question
