Answer:
Step-by-step explanation:
Hope this helps
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
Answer:
<u>Given triangle:</u>
- ΔXYZ
- X(-1,2), Y(2,1), Z(-1, -2)
<u>D₀.₅(ΔXYZ) results in:</u>
- (x, y) → (0.5x, 0.5y)
- X'(-0.5, 1), Y'(1, 0.5), Z(-0.5, -1)
Every triangle angles add up to 180.
So because one angle is 90 degrees you would subtract it from 180 to get 90 and then divide it by two which is 45 degrees.
Hope this helps, have a nice day! :)
