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3 years ago

Do the ratios 21:28 and 6:8 form a proportion?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

they are both equal to 3:4

21:28 can be reduced by 7

21/7=3

28/7=4

and 6:8 can be reduced by 2

6/2=3

8/2=4

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△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt

Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

$Hypotenuse=2\sqrt{17}$

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

$Hypotenuse^2=Base^2+Perpendicualar^2$

△ABC is a right angle triangle and AC is hypotenuse, so

$(2\sqrt{17})^2=(x)^2+(x+6)^2$

$68=x^2+x^2+12x+36$ $[\because (a+b)^2=a^2+2ab+b^2]$

Subtract 68 from both sides.

$0=2x^2+12x+36-68$

$0=2x^2+12x-32$

$0=2(x^2+6x-16)$

Divide both sides by 2.

$x^2+6x-16=0$

Splitting the middle term, we get

$x^2+8x-2x-16=0$

$x(x+8)-2(x+8)=0$

$(x+8)(x-2)=0$

$x=-8,2$

Side cannot be negative, so x=2 only.

Now,

$AC=x+6$

$AC=2+6$

$AC=8$

Therefore, the length of AC is 8 units.

6 0

3 years ago

Write an equation in slope-intercept form for the line with slope 8 and y-intercept -8.

AVprozaik [17]

The answer is y = 8x+-8

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3 years ago

I will gib brainliest if u help me >:C

zzz [600]

Answer:

1,800

Step-by-step explanation:

Why is because 6 is over for and u estimate to the nearest hundredth and then again the six is still there so u estimate the with the 100 place with give u a 800 so its 1,800

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3 years ago

Common Core Sheets

kiruha [24]

144/145

Convert any mixed numbers to fractions
Then your initial equation becomes
48/5 divided by 29/3

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2 years ago

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3 lb 5 oz X 6 = __lb __ oz

hoa [83]

19lbs 14 ounces because 16 oz= 1lb

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3 years ago