3 years ago

The triangles below are similar. 3x+3

Mathematics

2 answers:

Montano1993 [528]3 years ago

7 0

The answer would be 3(x+1)

Alex3 years ago

4 0

Answer:

x = 11

Step-by-step explanation:

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

$\frac{3x+3}{x+7}$ = $\frac{38}{19}$ = 2 ( multiply both sides by x + 7 )

3x + 3 = 2(x + 7)

3x + 3 = 2x + 14 ( subtract 2x from both sides )

x + 3 = 14 ( subtract 3 from both sides )

x = 11

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$\displaystyle \frac{2}{3} x - 3 = 11\\\\Adding \ 3 \ to \ both \ sides\\\\\frac{2x}{3} = 11 + 3\\\\\frac{2x}{3} = 14\\\\Multiply \ 3 \ to \ both \ sides\\\\2x = 14 \times 3\\\\2x = 42 \\\\Divide\ both\ sides\ by\ 2\\\\x = 42/2\\\\x = 21\\\\For \ x = 21\ the \ given \ equation \ is \ true.\\\\\rule[225]{225}{2}$