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
Third choice is correct hope I helped:3
okey
you needed the sum or division?
Answer:
20°
Step-by-step explanation:
Rotating the figure through an angle equal to the central angle of one "sector" will do the required mapping. That is 360°/18 = 20°.
Hello!
First you have to find the surface area of what he is painting
Finding the areas of all the rectangles he is painting
14 * 8 = 112
14 * 8 = 112
12 * 8 = 96
12 * 8 = 96
12 * 14 = 168
Add all these up
112 + 112 + 96 + 96 + 168 = 584
Divide this by the amount of area a pint of paint covers
584 / 90 = 6.4888...
He needs 7 pints of paint because he needs more than 6
Multiply this by the cost of 1 pint of pint
7 * 7.98 = 55.86
The answer is $55.86
Hope this helps!