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2 years ago

Given: ABC ~ DMV ; DM = ___

Mathematics

1 answer:

jeka57 [31]2 years ago

6 0

Answer:

DM should equal 20 inches

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exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

2 years ago

Find the product. Write your answer in scientific notation.<br><br> (7 x 10^-2) (8 x 10^5) =

lakkis [162]

Answer:

7×10^(-2)×8×10^5 = 56000

convert to scientific notation = 5.6 × 10^4

(scientific notation)

= 5.6e4

(scientific e notation)

= 56 × 10^3

(engineering notation)

(thousand; prefix kilo- (k))

= 56000

(real number)

Step-by-step explanation:

6 0

2 years ago

What is 200 divides buy 2/4th's

Tcecarenko [31]

Answer:

400

Hope this helps!

8 0

2 years ago

The quotient of six and one

Nastasia [14]

A quotient of a number and 6

Explanation: Quotient means that you divide something by another. Let's let n be the "number". Therefore, "a quotient of a number and 6" refers to n6 or n÷6 .

6 0

2 years ago

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Plz help asap<br> thanks xoxoxoxoxox

Leona [35]

I cannot see a pictureesss

7 0

2 years ago

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Given: *ABC ~ *DMV ; DM = ___

Given: ABC ~ DMV ; DM = ___