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2 years ago

8

IF Triangle DEF JKL, find KL.

1 answer:

s344n2d4d5 [400]2 years ago

3 0

Answer:

b

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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Solve image below:

ludmilkaskok [199]

Answer: $x=\frac{6}{-3y+8}$

Step-by-Step Explanation:

Let's solve for $x$ .

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Step 1: Multiply both sides by $3y-5$ .

$x-2=\frac{3xy-5x}{3}$

Step 2: Multiply both sides by $3$ .

$3x-6=3xy-5x$

Step 3: Add $-3xy$ to both sides.

$3x-6+-3xy=3xy-5x+-3xy$

$-3xy+3x-6=-5x$

Step 4: Add $5x$ to both sides.

$-3xy+3x-6+5x=-5x+5x$

$-3xy+8x-6=0$

Step 5: Add $6$ to both sides.

$-3xy+8x-6+6=0+6$

$-3xy+8x=6$

Step 6: Factor out variable $x$ .

$x(-3y+8)=6$

Step 7: Divide both sides by $-3y+8$ .

$\frac{x(-3y+8)}{-3y+8}=\frac{6}{y-3y+8}$

$x=\frac{6}{-3y+8}$

Answer:

$x=\frac{6}{-3y+8}$

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2 years ago

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Maksim231197 [3]

The rate of change is 8/6.

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3 years ago

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Triss [41]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago