Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
= 
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
The number is 16 because it is divisible by 1, 2, 4, 8, and 16
Answer:
7/4 - 8/3 - |1/6 - 3/4|
criss cross both sides to find their respectively simplified forms.
let's do (7/4 - 8/3) first.
(4 × 8) - (7 × 3) / 3 × 4
= 32 - 21 / 12
= 11 / 12.
then simplify |1/6 - 3/4| by criss crossing the pure numbers inside the absolute value.
Remember, no number can get out of the absolute value while being negative.
= |6 × 3 - 4 / 24|
= |18 - 4 / 24|
= |14/24|
= | 7 × 2 / 12 × 2 |...cancel the 2's
= |7 / 12| --> 7/12
11 / 12 - 7 / 12
= 4 /12
= 4 × 1 / 4 × 3....cancel the 4's
= 1 / 3.
