Question

Please Help! The value of m is:

Answer 1

Answer:

The value of m in the figure is 28.

Step-by-step explanation:

When we look at the figure, we see that 6 and 21, are connected with parallel lines to 8 and m. We can also see that 21 is dilated from 6. When dilating, we multiply or divide by a number, to get the extended or shortened length. (Just keep multiplication and division in mind)                

To get m, we can do the same that we did to get 21, from 6.

To get 21 from 6, you must divide 21 by 6. So when we do the same thing to 8, we should get m.

21 / 6 = 3.5

Now that we have the dilation of 3.5, we simply multiply that by 8.

3.5 * 8 = 28

The value of x in the figure is 28.

Answer 2

$\\ \rm\dashrightarrow \dfrac{m}{8}=\dfrac{21}{6}$

$\\ \rm\dashrightarrow \dfrac{m}{8}=\dfrac{7}{2}$

$\\ \rm\dashrightarrow 2m=56$

$\\ \rm\dashrightarrow m=28$