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Ainat [17]
1 year ago
15

State the place value(s) to which each decimal has been rounded.

Mathematics
1 answer:
Studentka2010 [4]1 year ago
4 0

Answer:

Step-by-step explanation:

1. tens place

2. tenth

3. hundredth

4.  thousandth

5. hundred

6. thousand

7. tenth

8. hundredths

9. unit.

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Given:

DE = (6x - 9) cm

EF = (4x + 4) cm

LM = 14 cm

MN = 16 cm

To find:

The value of x.

Solution:

<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>

$\Rightarrow \frac{DE}{EF} =\frac{LM}{MN}

$\Rightarrow \frac{6x-9}{4x+4} =\frac{14}{16}

Do cross multiplication.

$\Rightarrow 16( {6x-9})=14 ({4x+4} )

$\Rightarrow 96x-144=56 x+56

Add 144 on both sides.

$\Rightarrow 96x-144+144=56 x+56+144

$\Rightarrow 96x=56 x+200

Subtract 56x from both sides.

$\Rightarrow 96x-56x=56 x+200-56x

$\Rightarrow 40x=200

Divide by 40 on both sides, we get

$\Rightarrow x=5

The value of x is 5.

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