Question

ZB is 3x-5 BA is x+3

B is the midpoint of ZA. Find the length of ZA

A. 7
B. 9
C. 11
D. 14

Answer 1

if b is the midpoint that means that 3x-5=x+3. now we have you find the value of x, so we have to get x by its self on one side of the equation. add 5 to the - 5 and what you do to one side of the equation you have to do to the other so also add 5 to x+3. now you have 3x=x+8. subtract x or 1x from x+8 and subracts 1x from 3x, now you have 2x=8. finally divide 2x by 2 and divide 8 by 2. x=4. now all you have to do is plug in the value of x, 4, into the original equations. zb=3(4)-5, zb=7 ba=4+3, ba=7 so ZA=14. the answer is D.

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Answer 2

the correct option is D) 14

Explanation:

Given ZB is 3x-5, BA is x+3 and B is the midpoint of ZA as shown in figure-1

If B is the midpoint so, we will equate both equation equal.

3x - 5 = x + 3

simplify, the above

subtract x from both the side of above equation,

3x - 5 - x = x + 3 - x

2x - 5 = 3

add 5 on both sides of above equation,

2x - 5 + 5 = 3 + 5

2x = 8

divide both the sides by 2, in above equation

x = 4

value of x is 4

To find the length of ZA, we need to add both equations of ZB and BA as:

⇒ 3x - 5 + x + 3

⇒ 4x - 2

now, put the value x=4 in above to get the length of ZA

4(4) - 2 = 16 - 2 = 14

Hence, the correct option is D) 14