Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm

Answer:
The answer is 120 sq. ft.
Answer:
Step-by-step explanation:
a)
- 1.5x² + 6x + * =
- 1.5(x² + 4x + *) =
- 1.5(x² + 2*2x + 4) =
- 1.5(x + 2)²
- * = 1.5*2² = 6
b)
- 2x² - 5x + * =
- 2(x² - 2.5x + *) =
- 2(x² - 2*1.25x + 1.25²)=
- 2(x - 1.25)²
- * = 2*(1.25)² = 3.125 or 25/8
Answer:
-273
Step-by-step explanation:
find the common difference:
d = 7 - 11 = - 4
a_1 = 11
a_72 = (72 - 1)* (-4) + a_1
a_72 = (71)* (-4) + 11
a_72 = -273