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2 years ago

Find the missing length. The triangles in each pair are similar?

Mathematics

1 answer:

larisa [96]2 years ago

7 0

Answer:

The length of the missing side is 117 :)

Step-by-step explanation:

I set up a proportion using sides NM, LD, LN, and DC :

182/28 = x/18

182(18) = 28x

3276 = 28x

3276/28 = 28x/28

x = 117

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Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3) explain and show all steps

spayn [35]

Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3

Solution:

Given that,

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)

Here "times" represent multiplication

The above sentence can be written mathematically as:

$\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}$

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

$\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}$

Cancelling the common terms in numerator and denominator,

$\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}$

Multiplying terms in numerator and denominator,

$\rightarrow \frac{-12}{-40}$

Negative sign in numerator and denominator cancels each other

$\rightarrow \frac{-12}{-40} = \frac{12}{40}$

Reducing to lowest terms we get,

$\rightarrow \frac{12}{40} = \frac{3}{10}$

In decimal form we get,

$\rightarrow \frac{3}{10} = 0.3$

Thus solution to given expression is 0.3

8 0

3 years ago

Please help with my last question.

Bas_tet [7]

Answer:

x = 8.3

y = 20.3

Step-by-step explanation:

$21-\frac{2}{3} = 20\frac{1}{3}$ or $20.3$

$9-\frac{2}{3} = 8\frac{1}{3}$ or $8.3$

6 0

3 years ago

Which pair of variables can’t be represented on a scatter plot?

nalin [4]

Answer:dotted variables cannot

Step-by-step explanation:

its right trust me

8 0

3 years ago

The price of a DVD is $19 . The price is 12% lower than last week.

grandymaker [24]

Here is the solution for the given problem above.
First we need to get the 12% of $19. So 19 x 0.12 and we get 2.28. So in order to get the price of the DVD last week, let us add the 2.28 to 19, and we get a total of 21.28. So the final answer would be: $21.28 is the price of the DVD last week. Hope this answers the question. Thanks for posting your question.

6 0

3 years ago

Read 2 more answers

a sneaker with a mark price of $1000 was offered at a discount of 8% for paying cash if someone paid cash for the sneakers how m

sergeinik [125]

Answer:

920

Step-by-step explanation:

8% of 1000 is 80

1000 - 80 = 920

8 0

3 years ago