ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ AD² + CD² = AC²
The value of AD is 54 and the value of AC is 90:
54² + CD² = 90²
Solve for CD:
54² + CD² = 90²
CD² = 90² - 54²
CD² = 5184
CD = √5184
CD = 72
ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ BD² + CD² = BC²
The value of CD is 72 and the value of BC is 97:
BD² + 72² = 97²
Solve for BD:
BD² = 97² - 72²
BD² = 4225
BD = √4225
BD = 65
Answer: The length of BD is 65 units.
To multiply mix numbers and a normal fractions you make the mix number into a improper fraction. To do that you multiply the bottom and add the top. Here are the answers:
1/2 x 5 1/2 = 2 3/4
3 3/4 x 1/2 = 1 7/8
1/2 x 3 1/3 = 1 1/6
3/4 x 3 1/6 = 3 1/8
2/1 x 1 1/7 = 2 2/3
79.2% is 0.792 as a decimal
- 6+ 5x = 6x - 3
move -6 to the other side
sign changes from -6 to +6
-6+6+5x= 6x-3+6
5x= 6x-3+6
5x= 6x+3
move -6x to the other side
sign changes from +6x to -6x
5x-6x= 6x-6x+3
5x-6x= 3
-x= 3
mutiply both sides by -1 to get +x
(-1)(-x)= x , (-1)(3)= -3
Answer: x= -3
