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balandron [24]
3 years ago
11

I need help with these please :) I suck at math

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0
1)
you have similar triangles(ABC, ADE), so their side length ratios are equal

8/2=4/CE
CE*4=4
CE=1


2)
angle bisector theorem:
CD/DA=BC/BA

CD/DA=10/8
I:AD=10CD/8

we also know AC=AD+CD=6
II:CD=6-AD

insert II in I:

AD=10(6-AD)/8
=5(6-AD)/4
=(30-5AD)/4
4AD=30-5AD
9AD=30
3AD=10
AD=10/3
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2 years ago
A number increased by 4 is the same as 19 minus 2 times the number
ElenaW [278]

Hello from MrBillDoesMath!

Answer:

n = 5


Discussion:

Let the original number be "n"  Translating the problem  statement to mathematical symbolism:

n + 4 = 19 - 2n                   =>  add 2n to both sides

n + 2n + 4 = 19 - 2n + 2n  =>  combine like terms

3n + 4 = 19                        => subtract 4 from both sides

3n = 19 -4  = 15                 => divide both sides by 3

n = 15/3 =5


Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.


Thank you,

MrB

6 0
3 years ago
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3 0
3 years ago
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Eva8 [605]
The answer is D
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<span>add 2/9x to both sides, if you do that you get 2/9x+y=3. If you want to simplify it multiply everything by the denominator, in this case, 9 so then you would have 2x+9y=27 

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