Answer:
a. x = 5, AB = 14, BC = 8
Step-by-step explanation:
✔️Both triangles are similar, therefore their side lengths are proportional to each other.
Thus:
[tex] \frac{2x + 4}{x + 3} = \frac{7}{4} [/tex]
Cross multiply
[tex] 4(2x + 4) = 7(x + 3) [/tex]
[tex] 8x + 16= 7x + 21 [/tex]
Collect like terms
[tex] 8x - 7x = -16 + 21 [/tex]
[tex] x = 5 [/tex]
✔️AB = 2x + 4
Plug in the value of x
AB = 2(5) + 4
AB = 14
✔️BC = x + 3
Plug in the value of x
BC = 5 + 3
BC = 8
