Manuel noticed that his cellphone bill reflected a monthly fee of

Mathematics

1 answer:

Aneli [31]3 years ago

8 0

Answer:

He spent on 16 minutes

Step-by-step explanation:

Given

$Base\ Amount = \$40$

$Charge = \$0.5$ per minute

$Total = \$48$

Required

Determine the number of minutes

Let the number of minutes be n

If 1 minute costs $0.5

n minutes would cost $0.5n

The relationship between the given parameters is

$Total = Base\ Amount + Charges$

Substitute values for each of the above

$48 = 40 + 0.5n$

Solve for 0.5n

$0.5n = 48 - 40$

$0.5n = 8$

Solve for n

$n = 8/0.5$

$n = 16$

He spent on 16 minutes

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How do I prove that the figure is a rectangle ? I really need help I don’t know what to do.

goldenfox [79]

Answer:

If all angles in a quadrilateral are right angles, then it’s a rectangle (reverse of the rectangle definition). (Actually, you only need to show that three angles are right angles — if they are, the fourth one is automatically a right angle as well.)

If the diagonals of a parallelogram are congruent, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

If a parallelogram contains a right angle, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

Tip: Do the following to visualize why this method works: Take an empty cereal box and push in the top flaps. If you then look into the empty box, the top of the box makes a rectangular shape, right? Now, start to crush the top of the box — you know, like you want to make it flat before putting it in the trash. As you start to crush the top of the box, you see a parallelogram shape. Now, after you’ve crushed it a bit, if you take this parallelogram and make one of the angles a right angle, the whole top has to become a rectangle again. You can’t make one of the angles a right angle without the other three also becoming right angles.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The vertices of ΔGHI are G(-3,0), H(-5,-5), and I(1,-5). What are the coordinates of the image after being reflected over the y-

s2008m [1.1K]

After reflecting the points of triangle GHI over the y axis, the new points will be:
G' (3,0)
H' (5,-5)
I' (-1,-5)