Answer:
AB = 21
Step-by-step explanation:
So we have two triangles (AEB and ADC), and they're similar by AA
Now, you can find the ratio of similitude by checking AE/AD which is 14/26 = 7/13
AB/AC = 7/13
Take AB as x aight
x/x+18 = 7/13
x=21
Justify means plug answer in and verify
so distribute 8(3-7x)=24-56x
143=7+24-56x
143=31-56x
minus 31 both sides
112=-56x
divide both sides by -56
-2=x
justify
plug it back
143=7+8(3-7x)
143=7+8(3-7(-2))
143=7+8(3-(-14))
143=7+8(3+14)
143=7+8(17)
143=7+136
143=143
true
x=-2
A - 2 1/2 = 1 1/2
Solve for A by adding 2 1/2 to both sides:
A = 1 1/2 + 2 1/2
A = 4
The answer is c. A = 4
Check: 4 - 2 1/2 = 1 1/2