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:
He gets $10 for his weekly allowance.
Step-by-step explanation:
Let x represent the amount that Fred gets for his allowance weekly.
Fred spent half his allowance on the movies. This means that the total amount that he spent on the movies is x/2. The amount that he is left with would be
x - x/2 = x/2
He washed the family car for six dollars. This means that the total amount that he is left with would be
x/2 + 6
if he now has eleven dollars, it means that
x/2 + 6 = 11
x/2 = 11 - 6 = 5
x = 2 × 5 = $10
Answer:
4 cats
18 dogs
18 x 4.5 = 81
4 x 1.0 = 4
81 + 4 = 85.00
22 ÷ 2 = 11
Start there and just numbers and cost till you find the right numbers
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
84 + (7x + 5) + (180 - (17x-1)) = 180
84 + 7x + 5 + (181 - 17x) = 180
270 + (-10x) = 180
90 = 10x
x = 9
Answer:
2.8 years or 33.6 months.
Step-by-step explanation:
I am not sure what your questions is, but I assume it is how long it will take to pay it off?
In a year (15*12,) you would have paid $180 of it.
x = 500/180
Therefore, it will take you approximately 2.8 years to pay off your loan, excluding interest, of course, since you did not provide that rate.
