The opposite angles of an inscribe quadrilateral are supplementary.
angle P + angle R = 180
6x + 7 + 12x + 11 = 180
18x + 18 = 180
18x = 162
x = 9
Now we will substitute in the value of x to find angle P and R.
angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119
Now we will find the value of y.
angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 152
y = 8
Now substitute in the value of y to find angle Q and S.
angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93
Hope this helps :)
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Answer:
2/5y and -0.2y
-6 and -2
Step-by-step explanation:
Here, we want to select the pair of like terms
To do this, we finish the evaluation of the expression
2/5y + 1/5x - 0.2y -6+ (-2)
We have the two y’s together
2/5y and -0.2y
-6 and -2
Let . Then
and substituting these into the ODE gives
Let , so that . Then the ODE is linear in , with
Multiply both sides by , so that the left side can be condensed as the derivative of a product:
Integrating both sides and solving for gives
Integrate again to solve for :
and finally, solve for by multiplying both sides by :
already accounts for the term in this solution, so the other independent solution is .