A is the midpoint of RM. If RA = 4x+3 and RM = 10x, what is the length of RM?

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A is the midpoint of RM. If RA = 4x+3 and RM = 10x, what is the length of RM?

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Answer 1 · 2016-10-28T01:46:03

The length of RM is $30$ $30$ .

Explanation:

Since A is the midpoint of RM,

RA $≅$ $~=$ AM

and

RM = RA + AM

Putting all this together, we have

$10 x = 4 x + 3 + 4 x + 3$ $10x = 4x + 3 + 4x + 3$
$10 x = 8 x + 6$ $10x = 8x + 6$
$10 x - 8 x = 8 x - 8 x + 6$ $10x - 8x = 8x - 8x + 6$
$2 x = 6$ $2x = 6$
$\frac{2 x}{2} = \frac{6}{2}$ $(2x)/2 = 6/2$

$x = 3$ $x = 3$

Now that we know the value of $x$ $x$ , we can find the length of RM.

RM = $10 x$ $10x$
RM = $10 (3)$ $10(3)$
RM = $30$ $30$

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A is the midpoint of RM. If RA = 4x+3 and RM = 10x, what is the length of RM?

1 Answer

Explanation:

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