Mathematics: James concurs that since D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of CA, then the perimeter of triangle DEF will be half the perimeter of triangle ABC Determine if James is correct or incorrect. Justity, your answer

James concurs that since D is the midpoint of AB,

Ответ:

edog32

13.01.2021

Mathematics

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(( E )) is the midpoint of BC ,

Thus ;

BE = CE = 6

So :

BC = 12

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$\frac{AC}{2} = DE \\$

$\frac{AC}{2} = 7.5 \\$

Multiply sides by 2

$2 \times \frac{AC}{2} = 2 \times 7.5 \\$

AC = 15

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$\frac{AB}{2} = EF \\$

$\frac{AB}{2} = 8 \\$

Multiply sides by 2

$2 \times \frac{AB}{2} = 2 \times 8 \\$

AB = 16

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$∆ABC \: \: Perimeter = AB + BC + AC \\$

$∆ABC \: \: Perimeter = 16 + 12 + 15 \\$

$∆ABC \: \: Perimeter = 43$

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Done...

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Ответ:

cordobamariana07

17.02.2021

Mathematics

Step-by-step explanation:

Given : Nala can spend no more than $150 per month on gasoline.

She has already purchased $60 in gas this month.

The cost of each fill-up = $30

Let x be the number of fill-ups she can purchase during the rest of the month.

Then , the cost of fill-ups she can purchase during the rest of the month = 30x

Then , the inequality can be used to find the maximum number of fill-ups she can purchase during the rest of the month is given by :-

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James concurs that since D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of CA, then the perimeter of triangle DEF will be half the perimeter of triangle ABC Determine if James is correct or incorrect. Justity, your answer

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