M(7,5) is the midpoint of rs the coordinates of s are (8,7) what are the coordinates of r
a. (7.5, 6)
b. (6,3)
c. (14,10)
d. 9,9

Option B.

Step-by-step explanation:

M is the midpoint of RS.

Coordinates of M and S are (7, 5) and (8, 7).

We have to find the coordinates of point R.

Coordinates of the midpoint of a segment are represented by

X =

Y =

Here (X, Y) are the coordinates of the midpoint.

Now we plug in the values in the formula

7 =

x + 8 = 14

x = 14 - 8

x = 6

Similarly, 5 =

y + 7 = 10

y = 10 - 7

y = 3

Therefore, coordinates of the point R are (6, 3)

Option B. is the answer.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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