Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. The area of one of the two small right triangles is m times the area of the square. The ratio of the area of the other small right triangle to the area of the square is:.
(A) 1/(2m + 1)
(B) m
(C) 1 - m
(D) 1/(4m)
(E) 1/(8m^2)

D 1/4m

Step-by-step explanation:

Similarly in Mathematics shows that two right triangles are similar. Thus the ratio of the sides of the triangles are the same. Since A = 1/2bh = h/2, according to the figure, the height of the triangle with area m is 2m. Therefore 2m/1 = 1/x  where x is the base of the other triangle. X = 1/ 2m,

The ratio of the area of the other small right triangle to the area of the square is the area of that triangle which is

 1/2 × 1 × 1/2m = 1/4m

please find the attached file for the figure.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!