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Nataly [62]
2 years ago
9

Please help me find BD

Mathematics
1 answer:
Tanzania [10]2 years ago
8 0

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally, so you have ...

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . . multiply by 24

  3x +12 = 4x +2 . . . . . . . . eliminate parentheses

  10 = x . . . . . . . . . . . subtract (3x+2)

Then BD = x+4 = 10 +4.

The length of BD is 14 units.

_____

<em>Additional comment</em>

The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.

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3. \displaystyle 1\frac{1}{3} = x

2<em>C.</em> \displaystyle III.

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Step-by-step explanation:

3. <em>See</em><em> </em><em>above</em>.

2<em>C</em>. The keyword is ratio, which signifies division, so you would choose "III.".

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1. Base this off of the denominator. Knowing that the denominator CANNOT be zero, you will get this:

\displaystyle x^2 - 7x \\ x[x - 7] = 0; 7, 0 = x \\ \\ Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

I am joyous to assist you anytime.

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