Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
Area of shaded area= area of large rectangle-area of small rectangle
=(2x+a)(2x)-x(x+b)
=4x^2+2xa-x^2-bx
=3x^2+2xa-bx
=3x^2+2x-4x
=3x^2-2x+0
The expression (5x + 4)^3 in expanded form is 125 x3 + 300
x2 + 240 x + 64. The expression will
have also a root of x = -4/5. This is the form of trinomial expansion and can
be solve by multiplying the the term 3
times.
Answer:
Compute the cost of driving for two different job options.
Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.
Job 1
Miles each way 5
What is the cost of driving?
Job 2
Miles each way 50
What is the cost of driving?