Step-by-step explanation: Ok. So, we know that segment DE is parallel to segment BC and segment EF is parallel to segment AB. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and also intersects the other two sides, the line divides the sides proportionally. To put it more simply; because segment EF is parallel to segment AB, triangles ADE and EFC are proportional and similar. From there we must find the scale factor by which these two triangles are proportional.

We can do this by dividing the corresponding segments by; each other.

24 ÷ 20 = 1.2

Scale Factor = 1.2

Then we divide segment AD (18) by the scale factor (1.2).

18 ÷ 1.2 = 15

Since segment EF is parallel to segment AB, segment EF corresponds and is congruent to segment DB.

So,

Segment BD = 15

7 0

2 years ago

Whats the greatest common factor of 32 and 69

DedPeter [7]

There is not a gcf because one is odd and the other even

4 0

3 years ago

Read 2 more answers

Which factorization is equivalent to 4y2 − 17y + 15? A) (y − 3)(4y + 5) B) (y + 3)(4y − 5) C) (y − 3)(4y − 5) D) (4y − 3)(y − 5)

Delicious77 [7]

The answer to this is (4y - 5)(y - 3)

6 0

3 years ago

in one week Joe worked 23 hours cutting grass. He was paid $9/h. From his money, Joe bought 5 tickets for football game, at $15

LuckyWell [14K]

Joe will have 90 dollars left

8 0

4 years ago