A triangle has sides with lengths of 10, 15, and 6 feet. Find the perimeter of a similar triangle whose shortest side is 7​

P = 36 1/6 feet

Step-by-step explanation:

you can create the following proportion:

6 / 7 = 10 / x

cross-multiply:

6x = 70

x = 11 2/3

use the same ratio to write a second proportion to find the last side:

6 / 7 = 15 / x

cross-multiply:

6x = 105

x = 17 1/2

Perimeter = 7 + 11 2/3 + 17 1/2  =  28 7/6 + 7  =  29 1/6 + 7 = 36 1/6 feet

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Explanation:

The first step is to locate point M. It is at (-3, -5). Ignore the other points as your teacher is not asking to transform them.

Reflecting point M over the line y = -3 will have us move 2 units up to arrive at the line of reflection, and then we move 2 more additional units up to get to N = (-3, -1).

Now reflecting point N over the line y = 2 will have us move (-3,-1) three units up to get to the line of reflection, and then we move up another 3 units to get to P = (-3,2) which is the last stop. This is also the location of point M'.

See diagram below.

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Extra info: Overall, those two reflections combine to a translation of shifting 10 units up. Algebraically, we can write the translation rule . Two reflections only turn into a translation if and only if the lines of reflection are parallel.