Question

Given the picture, what is the length of AC? A) 4.5 B) 5 C) 7.5 D) 8

Answer 1

the answer is 7.5

Explanation:

this is the answer and i hope this help and i want to give thanks the the guy who answered this question before me

Answer 2

we know that

triangles BCD and ACE are similar

so, their ratios of sides must be equal

Calculation of y:

`(BC)/(AC)=(CD)/(CE)`

we can see that

AC=AB+BC

AC=y+3

CE=CD+DE

CE=4+6

CE=10

now, we can plug values

`(3)/(y+3)=(4)/(10)`

now, we can solve for y

`3*10=4*(y+3)`

`30=4y+12`

`30-12=4y+12-12`

`18=4y`

`y=4.5`

Calculation of AC:

we know that

AC=y+3

we can plug y

and we get

`AC=4.5+3`

`AC=7.5`...................Answer