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2 votes
Multiple choice can someone please answer please

Multiple choice can someone please answer please-example-1
User Alesko
by
8.2k points

2 Answers

4 votes

Answer:

x ≈ 6.67

Explanation:

Δ ACB and Δ AED are similar, thus ratios of corresponding sides are equal, that is


(CB)/(ED) =
(AB)/(AD) , substitute values


(6)/(10) =
(10)/(10+x) ( cross- multiply )

6(10 + x) = 100

60 + 6x = 100 ( subtract 60 from both sides )

6x = 40 ( divide both sides by 6 )

x =
(40)/(6) ≈ 6.67 ( to 2 dec. places )

User JayKandari
by
8.4k points
6 votes

Answer:

Explanation:

ΔADE & ΔABC are similar triangles


(AD)/(AB)=(DE)/(BC)\\\\(10+x)/(10)=(10)/(6)\\

Cross multiply,

6*(10+x) = 10*10

6*10 + 6*x = 100

60 + 6x = 100

6x = 100 - 60

6x = 40

x = 40/6

x = 6.67

User Oguzhan Ozel
by
8.2k points

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