Question

If the measure of (ac) is 40 cm, the measure of (ab) is (2x + 4) cm, and point b is the midpoint of (ac), then x is select one:

a. 8 cm

b. 7 cm

c. 10 cm

d. 5 cm

Answer 1

Answer:

a) 8 cm

as b is the midpoint , AB = 1/2 AC

2x+4=1/2×40

2x+4=20

2x= 20-4

2x=16

X=16/2=8cm

Answer 2

a. The value of x is 8

Step-by-step explanation:

Given : AC = 40 cm

            AB = 2x+4 and B is the mid point of AC

To find: The value of x

As AC is a line segment and B is the mid point

therefore

$AB+BC = AC\\\\AB = BC$

So

$AB+AB= AC\\\\\Rightarrow2 AB =AC\\\\\Rightarrow 2 \times (2 x +4 )= 40 \\\\\Rightarrow 2x+4=20\\\\\Rightarrow 2x= 20-4\\\\\Rightarrow 2x=16 \\\\\Rightarrow x= 8$

Hence, the value of x is 8

#Learn more

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