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2 years ago

In the diagram, △ABC∼△DEF. The area of △ABC is 12 square inches. Find the area of △DEF

Mathematics

1 answer:

Len [333]2 years ago

4 0

Answer:

A=3

Step-by-step explanation:

so the scale factor from ABC to DEF is 1/4. so 8*1/4 is 2 which is what they give us. so 12 *1/4 would be 3. The area of DEF is 3.

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Please Hurry ...Which expression is equivalent to

swat32

Answer:

$\huge\boxed{\sf \frac{160rs^5}{t^6}}$

Step-by-step explanation:

$\sf 5r^6t^4 ( \frac{4r^3s^tt^4}{2r^4st^6} ) ^5$

Using rule of exponents $\sf a^m/a^n = a^{m-n}$

$\sf 5r^6t^4 ( 2 r^{3-4} s^{2-1}t^{4-6})^5\\5r^6t^4(2r^{-1}st^{-2})^5\\5r^6t^4 * 32 r^{-5}s^5t^{-10}$

Using rule of exponents $\sf a^m*a^n = a^{m+n}$

$\sf 160 r^{6-5}s^5t^{4-10}$

$\sf 160 rs^5 t^{-6}$

To equalize the negative sign, we'll move t to the denominator

$\sf \frac{160rs^5}{t^6}$

8 0

2 years ago

The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18

KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

$x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x$

Sum of their ages will be

$x+x-9+x-9\\\\=3x-18$

According to question,

$1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19$

So, Age of older sister will be 19 years.

Age of the twins will be

$19-9=10\ years$

Hence, the age of the twins is 10 years.

3 0

2 years ago

A stock has a price of $58.63. This is $5.92 less than the price of the stock yesterday. Write and solve an equation to find the

inysia [295]

Answer: $52.71

Step-by-step explanation:

Today's price= $58.63

Yesterday's price= y

Difference= $5.92

y+5.92 = 58.63

y = 58.63 - 5.92

= $52.71

4 0

2 years ago

Which expression is equivalent to the given expression? 17x−32x x(17−32) x(32−17) 17x(1−32) 17(x−32)

vodka [1.7K]

Answer would be x(17-32)

4 0

3 years ago

2x - 1 = 7 solved using algebra steps

prisoha [69]

First add like terms in this case 1+7=8. Then then divide. 2x/8= 4. X=4

3 0

3 years ago