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:
Step-by-step explanation:
Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is
f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49
g(- 4) = (- 4)² + 12 = 16 + 12 = 28
Then
= = 
The first number in the couplet is the distance along the x-axis (i.e. distance from the y-axis). We can read 0.8 from the graph.
The second number is the distance along the y-axis (i.e.distance from the x-axis). We can read 6.7 from the graph.
So approximately, we have the point as (0.8, 6.7).
Round the numbers to the nearest integer and you'll get the required answer choice.
Answer:
Calculating the Actual Distance using the Scale
If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.
Step-by-step explanation:
Answer:
$367.50 and y=0.3x+300
30% of 225 is 67.50 and her guaranteed salary is 300 so 300+67.50=$367.50.
