The length of the segment AB = 16cm in the inside is taken point M. Find the length of the segment AM

The length of the segment AB = 16cm in the inside is taken point M. Find the length of the segment AM if: 1) the segment AM is 3 times less than the segment BM. 2) AM refers to BM as 3k5. 3) BM is 3cm less than AM

Given:

segment AB,

AB = 16 centimeters,

point M belongs to the segment AB,

a) ВM = 3 * AM;

b) AM: BM = 3: 5;

c) AM = BM + 3.

Find the lengths of the segments AM and BM -?

Decision:

Consider the segment AB.

a) Let the length of the segment AM early x centimeters, then the length of the segment BM is equal to 3 * x centimeters. We know that AB = AM + BM. Let’s make the equation:

3 * x + x = 16;

x * (3 + 1) = 16;

x * 4 = 16 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 16: 4;

x = 4 centimeters – the length of the segment AM;

3 * 4 = 12 centimeters – the length of the VM segment.

b) Let the length of the BM segment early be 3 * x centimeters, then the length of the AM segment is 5 * x centimeters. We know that AB = AM + BM. Let’s make the equation:

x + 5 * x = 16;

x * (3 + 5) = 16;

x * 8 = 16 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 16: 8;

x = 2 centimeters;

2 * 3 = 6 centimeters – the length of the segment AM;

2 * 5 = 10 centimeters – the length of the VM segment.

c) Let the length of the BM segment early be x centimeters, then the length of the AM segment is x + 3 centimeters. We know that AB = AM + BM. Let’s make the equation:

x + x + 3 = 16;

x + x = 13;

x * (1 + 1) = 13;

x * 2 = 13 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 13: 2;

x = 6.5 centimeters – length of the BM segment;

6.5 + 3 = 9.5 centimeters – the length of the segment AM.

Answer: a) 4 centimeters, 12 centimeters; b) 6 centimeters, 10 centimeters; c) 6.5 centimeters, 9.5 centimeters.