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3 years ago

IF Triangle DEF JKL, find KL.

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

3 0

Answer:

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{KL}{EF}$ = $\frac{JK}{DE}$ , substitute values

$\frac{6x+3}{x+11}$ = $\frac{25}{10}$ ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

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Thank you so much!!!

vova2212 [387]

Answer:

$\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}$

Step-by-step explanation:

(1) A typical form of equation of a line is:

$y = Mx + b$

with, $M$ is slope and $b$ is y-intercept.

(2) Another straight line has equation in form of:

$y = Nx + c$

with $N$ is slope and $c$ is y-intercept

(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:

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(4) Transform the given equation of original line into typical form:

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Hope this helps!

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3 years ago

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