Answer: 2x + 4
Step-by-step explanation:
Answer:
Given: Line p is parallel to line r.
Alternate exterior angles states that two angles in the exterior of the parallel lines, and on opposite sides of the transversal.
Alternate exterior angles are non-adjacent and congruent.
[ Alternate exterior angles]
Since, Angles are congruent if they have the same angle measure in degrees
....[1] [by definition of congruent Angles]
Linear pair states that a pair of adjacent angles formed when two lines intersect.
therefore, by definition 
and 
forms a linear pair.
Since, linear pair are always supplementary.
is supplementary to
Supplementary angles states that two angles are supplementary that means they add up to measure 180 degree.
Substitute the equation [1] in above equation we get;
then, by the definition of supplementary angle ;
is supplementary to 
Answer:
0.25 cups
Step-by-step explanation:
you can do 0.125 times the number of fluid ounces to get the the number of cups.
Y = 5x -30
I believe this is what you needed
Complete question:
If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?
a) The discriminant is negative.
b) The discriminant is –3.
c) The discriminant is 0.
d) The discriminant is positive.
Answer:
c) The discriminant is 0.
Step-by-step explanation:
Here, x = -3 is the only x intercept of graph of a quadrant equation.
In this case the determinant of the quadrant equation will be 0.
i.e, x = 0
The determinant of the quadrant equation will be zero because, since x = -3 is the only x intercept of the graph, the quadrant equation will have equal roots. Also, when there are equal roots in a quadrant equation, the discriminant tends to zero.
Therefore the correct answer is (c) The discriminant is 0.
D = 0
