First notice that the triangle with sides

and the triangle with sides

are similar. This is true because the angle between sides

in the smaller triangle is clearly

, while the angle between sides

in the larger triangle is clearly

. So the triangles are similar with sides

corresponding to

, respectively.
Now both triangles are

, which means there's a convenient ratio between its sides. If the length of the shortest leg is

, then the length of the longer leg is

and the hypotenuse has length

.
Since

is the shortest leg in the larger triangle, it follows that

, so
Answer:
144
Step-by-step explanation:
4 triangles = 1/2 x 6 x 9 x 4 = 108
1 sq base = 6 x 6 = 36
total surface area = 36 + 108 = 144
if 3 triangles the base wouldn't be a square thus not possible to solve
9514 1404 393
Answer:
$(4/3)X
Step-by-step explanation:
Working 12 hours, Samia gets paid for the first 8 hours ...
8 · ($X) = $8X
For the remaining 4 hours, she is paid ...
4 · ($2X) = $8X
Then for 12 hours, she is paid a total of ...
$8X +$8X = $16X
Her average hourly pay is then ...
total pay / total hours = $16X/12 = $(4/3)X . . . average hourly pay
From the diagram, we can conclude that 5x = 15, 4y = 8, and 2z - 1 = 24.From that, we solve and get x = 3, y = 2, and z = 12.5
Hope this helps!