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2 years ago

The two polygons are similar. Find the values of x and y.

Mathematics

1 answer:

bazaltina [42]2 years ago

8 0

Answer: $x=11, y=9$

Step-by-step explanation:

Corresponding sides of similar figures are proportional, so:

$\frac{x-2}{6}=\frac{15}{10}\\\\\frac{x-2}{6}=\frac{3}{2}\\\\x-2=9\\\\x=11$

$\frac{y+3}{8}=\frac{15}{10}\\\\\frac{y+3}{8}=\frac{3}{2}\\\\y+3=12\\\\y=9$

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Helga [31]

Answer:

32.5%

Step-by-step explanation:

first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is

65*3=195

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195/30=6.5

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3 years ago

Find the exact value of cos 120° in simplest form with a rational<br> denominator.

IRINA_888 [86]

Given:

cos 120°

To find:

The exact value of cos 120° in simplest form with a rational denominator.

Solution:

We have,

$\cos 120^\circ$

It can be written as

$\cos 120^\circ=\cos (90^\circ+30^\circ)$

$\cos 120^\circ=-\sin 30^\circ$ $[\because \cos (90^\circ-\theta)=-\sin \theta]$

$\cos 120^\circ=-\left(\dfrac{1}{2}\right)$ $[\because \sin 30^\circ=\dfrac{1}{2}]$

$\cos 120^\circ=-\dfrac{1}{2}$

Therefore, the exact value of cos 120° is $-\dfrac{1}{2}$ .

7 0

3 years ago

Make a number that has a 6 that is 10 times the value of the digit 6 in 165,438 Comparing digits in whole numbers

Ipatiy [6.2K]

Answer:

An example of such number is 1,645,378 ( The value of 6 here is 600,000)

Step-by-step explanation:

Here, we want to compare digits in whole

numbers.

The value of 6 in 165,438 = 60,000

Now, we want a number that is 10 times the value of 6 here

10 times the value of 6 here will be 10 * 60,000 = 600,000

So we want a number which has the value of 6 in it as 600,000

The number in this case as an example can be ;

1,645,378

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3 years ago

The probability distribution histogram shows the number of days a book is checked out of a library.

iren [92.7K]

Answer:

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Step-by-step explanation:

0.20 + 0.15 + 0.30

= 0.65.

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2 years ago

Convert 5/-6 to decimal<br>

Paladinen [302]

-0.83 because that's the way to go

3 0

3 years ago