Question

Multiple choice can someone please answer please

Answer 1

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 )

Answer 2

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