<h2>Given :-</h2>
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
<h2>To Find :-</h2>m∠Q and m∠S.
<h2>Solution :-</h2>According to angle sum property
P∠Q=180−∠P
∠Q=180−108
For angle S
∠S=180−∠R
∠S=180−53
Solve by the elimination method. Check your work.
2 answers:
Answer:
1: x = 19 y = 16 ; 2. x = 5 y = -4
Step-by-step explanation:
To check your work plug the numbers back into one of the equations and see if it's true.
For example:
10(19)-9(16)=46
46=46
1. I distributed 3 to all the numbers so that 9y and -9y would cancel then you add like terms.
2. I distributed -4 to all the numbers so that 4x and -4x would cancel. Then add all like terms.
Once you get x or y plug it back into one problem to get the other variable.
Hope this helps!
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A graph of the equation shows the appropriate choice to be
C. 2
_____
If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
d = b²-4ac
For your equation, this evaluates to
d = (-8)²-4(2)(5) = 64 -40 = 24
When the discriminant is positive, the function has two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).
C. 2
_____
If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
d = b²-4ac
For your equation, this evaluates to
d = (-8)²-4(2)(5) = 64 -40 = 24
When the discriminant is positive, the function has two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).