So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.
So you can use proportions here.
AB / AC = AD / AE
AB = AD + DB = 6 + 1 = 7
AC = AE + 3
AD = 6
So plug in these values:
AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE
Now do the cross multiply:
7 AE = 6 (AE + 3)
Now solve for AE:
7AE = 6AE + 18
AE = 18
It says that there was an error with my answer, but I don't know what, so I screenshotted what I typed and attached them as 4 images below:
Answer:
X= 10
Step-by-step explanation:
let the vertex of angle 17° named A
then the other two B and C
then by using trigonometry:
sin(A) = opposite side divided by hypotenuse
opposite side is. X
Wich makes Sin(A) = X/47
then by crossing X= sin(A) × 47 = 13.74147
rounding to the nearest tenth: X= 10
Answer:
£132
Step-by-step explanation:
15% of 520 is 78
15% of 360 is 54
78 + 54 = 132