Two parallel lines are cut by a transversal, as shown below. x + 40
3x
What is the solution when solved for x, and why?
=10, because alternate interior angles are equal Therefore, c +40 = 3.
= 20, because alternate interior angles are equal. Therefore 240 = 30
x= 35, because alternate interior angles are supplemental. Therefore, t.40 3.0 = 180.
I=80, because alternate interior angles are supplemental. Therefore, o+ 40 + 30 = 180.​

To prove that def ~ gfh by the sss similarity theorem using the information provided in the diagram, it would be enough additional information to know that

Which is a true statement comparing the graphs of x^2/6^2-y^2/8^2 = 1 and x^2/8^2-y^2/6^2 the foci of both graphs are the same points. the lengths of both transverse axes are the same. the directrices of = 1 are horizontal while the directrices of = 1 are vertical. the vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?