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
If Jeremy has 2 cups of sugar, and evenly distributes it onto 9 cakes, he would have put .222 (repeating 2) cups of cake on each cake.
Solve each equation separately:
(-1, 3) Has to be a point that fits both equations
y = 2x + ____
Plug in Values:
3 = 2(-1) + ____
3 = -2 + ____
___ = 5
First Blank: 5
y = ___x - 1
Plug in Values:
3 = ___(-1) - 1
4 = ___(-1)
___ = -4
Second Blank: -4
Answer:
Step-by-step explanation:
