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Triss [41]
2 years ago
15

n="absmiddle" class="latex-formula"> and $\overline{CZ}$ are angle bisectors of triangle ABC that meet at I as shown below, with CY = 4, AY = 6, and AB = 8. Find BZ.

Mathematics
1 answer:
erica [24]2 years ago
6 0

Answer:

  BZ = 64/23 = 2 18/23

Step-by-step explanation:

The angle bisectors divide the triangle into proportional parts, so we have ...

  CB/CY = AB/AY

  CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate

and ...

  BZ/CB = AZ/AC

  BZ = AZ(CB/AC) . . . . multiply by CB

But we have ...

  AZ = 8 -BZ, so this becomes ...

  BZ = (8 -BZ)(16/3)/(10)

  BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides

  BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ

BZ = 64/23 = 2 18/23

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Step-by-step explanation:

Please mark as Brainliest! :)

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3 years ago
There are 2 pens for every 9 pencils. There is a total of 16 pens in the classroom. How many pencils are in the classroom? *
Serggg [28]
I would say that it is 81. I hoped this helped and the steps are first what is 16 divided by 2 is 9 then you do 9 times 9 witch is 81.
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3 years ago
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Please help I will brainlist
tamaranim1 [39]

Answer:

C is what i think would be the perimeters of the squares.

Step-by-step explanation:

4 0
2 years ago
7+4(r+3)=9r-6<br> show work pls AND HELP ASAP
ivanzaharov [21]

\:  \:  \:  \:  \:  \:

=  \:  \:  \:  \: r = 5

Step-by-step explanation:

7 + 4(r + 3) = 9r - 6

  • <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses

7 + 4r + 12 = 9r - 6

  • add numbers

19 + 4r = 9r - 6

  • move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign

19 + 9r =  - 6

  • move the <em><u>constant </u></em>to the right hand side and change its sign

4r - 9 =  - 6 - 19

  • collect<em><u> like</u></em><em><u> terms</u></em>

<em><u>- 5r =  - 6 - 19</u></em>

  • calculate the difference

- 5r =  - 25

  • divide both sides of the equation by <em>-</em><em>5</em>

<em>=  \:  \:  \:  \: r = 5</em>

<h2><em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>
7 0
2 years ago
If 3 times a number minus 2 equals 13, what is the number? <br> A. 5 <br> B. 2 <br> C. –6 <br> D. 4
Ivenika [448]
3x - 2 = 13

Add 2 on both sides

3x - 2 + 2 = 13 + 2
3x = 13 + 2
3x = 15

Divide both sides by 3.

3x/3 = 15/3

x = 15/3

x = 5

Your final answer is A. 5.
4 0
3 years ago
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