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Shkiper50 [21]
3 years ago
12

This is line segments

Mathematics
2 answers:
lianna [129]3 years ago
8 0

Step-by-step 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 =  \frac{56}{7}  \\ x = 8 \\ thankyou

arlik [135]3 years ago
6 0

Answer:

\huge\boxed{\sf 22}

Step-by-step explanation:

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

BD = BC + CD

<u>Given that:</u>

BD = 67

BC = 3x - 2

CD = 4x + 13

<u>Solution:</u>

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

<u>Now, Finding BC:</u>

= 3x - 2

Put x = 8

= 3(8) - 2

= 24 - 2

= 22

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>
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