The triangles ABC and MNP are similar AB=12cm BC=8cm MN+NP=10 cm. Find the lenght of MN and MP

MN=6cm

NP= 4 cm

Step-by-step explanation:

Step 1:

By the property of symmetry in triangle

By applying componendo and dividendo rule above equation is modified as

Step 2:

Applying the values in above equation

on simplification

MN-NP=

MN-NP=2

MN+NP=10

on solving above equations

2MN=12

MN=6 cm

NP=10-MN

    =10-6

    =4 cm

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.