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vovikov84 [41]
1 year ago
5

Triangle a b c is cut by line segment d e. line segment d e goes from side a c to line a b. the length of a e is 12, the length

of e b is 4, and the length of a d is 9. what is the length of line segment d c? 2 units 3 units 6 units 9 units
Mathematics
2 answers:
Kazeer [188]1 year ago
7 0

Answer:

3 Units

Step-by-step explanation:

postnew [5]1 year ago
4 0

Answer: 3 units

Step-by-step explanation:

By the triangle proportionality theorem,

\frac{12}{4}=\frac{9}{x} \\ \\ 3=\frac{9}{x} \\ \\ x=\boxed{3}

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2 years ago
Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*
dalvyx [7]

Answer:

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Step-by-step explanation:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\

5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\

\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3

7 0
3 years ago
Read 2 more answers
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