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Genrish500 [490]
3 years ago
15

What is b? − ( 3 − 6b ) = 6b + 5

Mathematics
1 answer:
zubka84 [21]3 years ago
3 0

Answer:

-1 1/2

Step-by-step explanation:

-(3-6b)=6b + 5 .remember to balance!!!!

-6b + 6b= 6b + 6b

-3=12b+5

-3+5=5-5

-8=12b   now divide since its the inverse operation

think 12/-8= -1 1/2

so B equals - 1 1/2

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Answer:

Step-by-step explanation:

First, you gotta work out the hypotenuse of ABC, which is AC.

To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.

12.5/5 = 2.5

The scale factor length between the two triangles is 2.5.

You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.

Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB

Pythagoras's theorem = a^2 + b^2 = c^2

a = BC = 12.5

b = AB = we need to work this out

c = AC (the hypotenuse we just worked out) = 32.5

12.5^2 + b^2 = 32.5^2 Let's both simplify and rearrange this at the same time so that we have our b on one side.

b^{2} = 1056.25 - 156.25

b = \sqrt{(1056.25 - 156.25)}

b = \sqrt{900}

b = AB = 30  We've found b or AB, now we can work out the perimeter of ABC.

Perimeter of ABC = AB + BC + AC

= 30 + 12.5 + 32.5

= 75  Here's the perimeter for ABC.

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