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ipn [44]
3 years ago
10

0.2x + (-0.9) + 1.7 = 9.6 0.2x + 0.8 = 9.6

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:44

Step-by-step explanation:

0.2x+(-0.9)+1.7==9.6

0.2x+0.8=9.6

Subtract 0.8 from both sides

0.2x+0.8-0.8=9.6-0.8

0.2x=8.8

Divide both sides by 0.2

0.2x ➗ 0.2=8.8 ➗ 0.2

x=44

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Please help!! MathsWatch, Surd Expressions, Clip 207c
dexar [7]

Answer:

A=(72+36\sqrt{3})\ mm^2

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

b=AB+BC+CD+DE ----> by segment addition postulate

substitute

b=3+3+3+3=12\ mm

step 2

Find the height of rectangle

a=FB+CG+GH ---> by segment addition postulate

substitute the given values

a=3+CG+3\\a=6+CG

Find the length sides CG

Applying the Pythagorean Theorem

BG^2=BC^2+CG^2

substitute the given values

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CG^2=6^2-3^2

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simplify

CG=3\sqrt{3}\ mm

therefore

a=(6+3\sqrt{3})\ mm

step 3

Find the area of rectangle

A=ab

we have

a=(6+3\sqrt{3})\ mm

b=12\ mm

substitute

A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2

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