a quadrilateral has 2 right angles. the measure of the third angle is 73, what is the measure of the forth angle?
1 answer:
Answer: 107 degrees.
Step-by-step explanation:
A quadrilateral is defined as a 2-dimensional closed shape which has four sides and four vertices.
By definition the interior angles of a quadrilateral add up 360 degrees.
We know that this quadrilateral has 2 right angles (which are angles that measure 90 degrees) and we know that the measure of the third angle is 73 degrees.
Let be "x" the measure of the fourth angle.
Then you can write this expression:
And finally solve for "x":
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Answer:
<h3> ( - 1 , - 1 )</h3>Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
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5x = - 5
Divide both sides of the equation by 5
Calculate
Again, Putting the value of x in equation ( ii ) in order t get the value of y
plug the value of x
Any expression multiplied by ( - 1 ) equals it's opposite
Calculate
Therefore, The possible solution of the system is the ordered pair ( x , y )
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Check if the given ordered pair is the solution of the system of equation
Simplify the equation
Since all the equalities are true, the ordered pair is the solution of the system.
<h3>( x , y ) = ( - 1 , - 1 )</h3>Hope this helps..
Best regards!!
Refer to the image that I attached to my answer.
According to the graphing calculator, the two equations have two points of intersections (the points where the different colored lines cross).
Happy Studying~
