AB is equal to 2x + 5. BC is equal to 3x+14. AC equals to 44. What is the value of x?
Answer: x = 5 Explanation: First, by using the Segment Addition Postulate, you know that AB plus BC equals to AC. Next, you add AB(2x+5) and BC(3x+14), which equals to 5x+19. So, now you know 5x+19 equals to AC which then equals to 44. After, you solve the equation 5x+19=44. Subtract 19 from both sides and you will get 5x=25. Then divide 5 from both sides and you will get x=5. Therefore, x = 5. Submitted by Andy Liu |
This is practice for writing a two-column proof.
Explanation: After the given reason, the next statement would be m<1+m<3=XYZ, m<2+m<4=ZWX, and the reason is the angle addition postulate. After this, you can use the addition property to write the statement m<1+m<3=m<2+m<4. Then, all you have to do is use substitution and substitute m<1+m<3 for XYZ and m<2+m<4 for ZWX to get m<XYZ=m<ZWX. |