Mathematics: Class ends at 3:35 it’s 3:30 please answer! I’ll mark BRAINLIEST if right

Class ends at 3:35 it’s 3:30 please answer! I’ll

jackkie10

16.03.2023

x = 4.8

AC = 16.8

Step-by-step explanation:

From the picture attached,

In ΔABE and ΔACD

BE║CD, and the AC and AD are the transversal lines.

∠ABE ≅ ∠ACD [Corresponding angles]

∠AEB ≅ ∠ADC [Corresponding angles]

ΔABE ~ ΔACD [By AA property of similarity of two triangles]

And by the property of similar triangles, corresponding sides of the similar triangles are always proportional.

$\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}$

$\frac{x+12}{12}=\frac{10+4}{10}$

$\frac{x+12}{12}=\frac{14}{10}$

10(x + 12) = 12 × 14

10x + 120 = 168

10x = 168 - 120

x = 4.8

AC = x + 4.8

= 12 + 4.8

= 16.8

0,0(0 оценок)