Question

This is line segments

Answer 1

Explanation:

`here \: given \: that \: total \: lenth = bd = 67 \\ then \: bd = bc + cd \\ so \: we \: can \: write \: that \\ 67 = 3x - 2 + 4x + 13 \\67 = 3x + 4x - 2 + 13 \\ 67 = 7x + 11 \\ 7x = 67 - 11 \\ 7x = 56 \\ x = (56)/(7) \\ x = 8 \\ thankyou`

Answer 2

`\huge\boxed{\sf 22}`

Explanation:

By looking at the line segment, we get to know that:

BD = BC + CD

Given that:

BD = 67

BC = 3x - 2

CD = 4x + 13

Solution:

Put the givens in the above equation made.

67 = 3x - 2 + 4x + 13

67 = 3x + 4x - 2 + 13

67 = 7x + 11

7x = 67 - 11

7x = 56

Divide both sides by 7

x = 56 / 7

x = 8

Now, Finding BC:

= 3x - 2

Put x = 8

= 3(8) - 2

= 24 - 2

= 22

`\rule[225]{225}{2}`

Hope this helped!

~AH1807

Peace!