Mathematics, 24.09.2019 01:30 hazeleyes2006

The perimeter of the larger triangle is 150% of the perimeter of smaller triangle. find the dimensions of each triangle.

The perimeter of the larger triangle is 150% of the perimeter of smaller triangle. find the dimensio

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Answer from: alexis3060

The answer to your questions is:

Perimeter of the larger triangle = 36 units

Perimeter of the smaller triangle = 24 units

Step-by-step explanation:

Data

Perimeter of the larger triangle = 150% of the perimeter of the smaller triangle

x = ?

Formula

Perimeter of the larger triangle = a + b +c

Perimeter of the smaller triangle = a' + b' + c'

a + b + c = 1.5 (a' + b' + c')

15 + 9 + 2x = 1.5 (10 + 8 + x)

24 + 2x = 15 + 12 + 1.5x

24 + 2x = 27 + 1.5x

2x - 1.5x = 27 - 24

0.5x = 3

x = 3 / 0.5 = 6

Perimeter of the larger triangle = 15 + 9 + 2(6) = 36 units

Perimeter of the smaller triangle = a' + b' + c' = 10 + 8 + 6 = 24 units

Answer from: jalenclarke25

6 = x:

Large Triangle: 15, 12, 9

Petite Triangle: 10, 8, 6

Step-by-step explanation:

Take 15 and 10 and figure out the scale factor:

$\frac{15}{10} = 1\frac{1}{2}$

You take each large dimension and divide it by the scale factor:

$\frac{9}{1 \frac{1}{2}} = 6 \\ \\ 8(1 \frac{1}{2}) = 2x \\ \\ 12 = 2x \\ \\ 6 = x$

I am joyous to assist you anytime.

Answer from: Quest

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

$\text{simple interest} = \frac{principal\times rate\times time}{100} \\\\\text{simple interest} = \frac{1000\times 4\times 10}{100}=\$400\\\\amount = principal + interest\\amount = 1000 + 400 = \$1400$

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

Answer from: Quest

step-by-step explanation: 4 cause 2+2=4

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The perimeter of the larger triangle is 150% of the perimeter of smaller triangle. find the dimensio...