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4 years ago

Point m is the midpoint of ab¯¯¯¯¯ . am=2x+9, and ab=8x−50. what is the length of am¯¯¯¯¯¯ ?

1 answer:

iogann1982 [59]4 years ago

7 0

Since m is the midpoint of ab, then the following relationship is fulfilled:
$am = \frac{ab}{2}$
Therefore, substituting values we have:
$2x+9 = \frac{8x-50}{2}$
From here, we clear the value of x.
We have then:
$2x+9 = 4x-25$
$9+25 = 4x-2x$
$34 = 2x$
$x = \frac{34}{2}$
$x = 17$
Then, the value of am, is given by substituting x in the expression:
$am=2x+9$
Substituting we have:
$am=2(17)+9$
$am=34+9$
$am=43$
Answer:
the length of am is:
$am=43$

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3 years ago

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3 years ago

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$= \tt4 \times side$

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$= \tt16 \: cm$

Thus, the perimeter of this square = 16 cm

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Perimeter of this square :

$= \tt 4 \times side$

$= \tt4 \times 6$

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Thus, the perimeter of this square = 24 cm

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Thus, the ratio of the perimeter of both the squares = 2:3

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$= \tt side \times side$

$= \tt 4 \times 4$

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Thus, the area of the first square = 16 cm²

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Area of this square :

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Thus, the area of the second square = 36 cm²

Ratio of the areas of the two squares :

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Thus, the ratio of the areas of the two squares = 4:9

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