What are the values of m and n in the matrix addition below

The answer is B

m=45

n=12

Step-by-step explanation:

To solve for m and n we need to perform what we call matrix elements wise addition, which requires that we add elements off corresponding roll and columns

Step one

Let us start with m

To find m we will have trace it position,

it is in row 2 column 2

So we will add it to the Number in row 2 columns 2 of the second matrix and equate it to the row 2 columns 2 of the third matrix

Step two

Solving we have

m+3+(-8)=40

m+3-8=40

m-5=40

m=40+5

m=45

Step three

To solve for n we need to trace it position

n is in row one column one,

We add it to the in row one column one of the second matrix and equate it to the element in row one column one of the third matrix

Step four

Solving we have

n-1+(-1)=10

n-1-1=10

n-2=10

n=10+2

n=12

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.