Answer:
AC = 8 cm,
AD = 3 cm and ∠ACB = ∠CDA
From figure,
∠CDA = 90°
∴ ∠ACB = ∠CDA = 90°
In right angled ∆ADC,
AC2 = AD2 + CD2
⇒ (8)2 = (3)2 + (CD)2
CD2 = 64 – 9 = 55
⇒ CD = √55 cm
In ∆CDB and ADC.
∠BDC = ∠AD [each 90°]
∠DBC = ∠DCA [each equal to 90°-∠A]
∴ ∠CDB ∼ ∆ADC
Then,
Solve the equation. Isolate the variable, x.
Note the equal sign, what you do to one side, you do to the other.
First, subtract 8 and 10x from both sides:
2x (-10x) + 8 (-8) = 12 (-8) + 10x (-10x)
2x - 10x = 12 - 8
Simplify. Combine like terms:
(2x - 10x) = (12 - 8)
-8x = 4
Isolate the variable, x. Divide -8 from both sides:
(-8x)/-8 = (4)/-8
x = -(4/8)
Simplify:
x = -1/2
-1/2 is your answer for x.
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To simply determine if the solution is true. Simply plug in and or substitute the values of w for the expression. Then see if the left hand side is equal to the right side of the equation.
360÷5= 72°
In short, the answer will be 72°
Hope this helps!
What is the unit of currency here? " # " does not represent any currency, but rather is a representation of "pound" (the unit of weight, not the British pound).
If you do mean "British pound," then
70 British pounds
------------------------ = 41.2 pence (like pennies) per kg.
1.7 kg