This is the problem Dan says 3/5 Is the same as 3.5. Is he correct? Explain
2 answers:
<u><em>Answer:</em></u>
He is not correct
<u><em>Explanation:</em></u>
The first number is
We can note that the numerator is less than the denominator. This means that the given fraction is less than 1
In decimal form, is equal to 0.6
The second number is 3.5
We can note that this number is greater than 1.
This means that the two numbers are not equal
Hope this helps :)
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Answer:
<u>Problem 1:</u>
x = 12 unit ; y = 120 ; z = 60 ; perimeter = 58 unit
<u>Problem 2:</u>
FG = 16 unit ; EG = 2√153 unit ; y = 5 unit
Step-by-step explanation:
<u>Problem 1</u>
Since ABCD is a parallelogram. so,
∠ABC = ∠ADC [Since opposite angles of a parallelogram are equal]
but, ∠ADC = 120° [given]------------(1)
So, ∠ ABC = y° = 120° ----------------(2)
Again, sum of two consecutive angles of a parallelogram is, 180°, so,
∠BCD + ∠ADC = 180°
So, ∠BCD =z° = 180° - 120° = 60° [Putting the value of ∠ADC from (1)]-----(3)
Again, since opposite sides of a parallelogram are equal,
so, BC = AD
⇒ (x + 5) = 17
⇒ x = 12------------------------(4)
So, AB = 12 unit , AD = 17 unit
So, the perimeter of the parallelogram is given by,
2(AB + AD)
= unit
= 58 unit --------------------------------------------------------------(5)
<u>Problem 2</u>
Perimeter of parallelogram EFGH = 52 unit
So, 2(EH + GH) = 52 unit
⇒ 2 ( x + x + 6) = 52
⇒ 4x = 40
⇒ x = 10
Now, FG = EH [since opposite sides of a parallelogram are equal]
= (x + 6) unit
= (10 + 6) unit = 16 unit ------------------------------(1)
Again for a parallelogram, the diagonals bisect each other.
so, EG =
= 2√153 unit -----------------------------------------(2)
and,
3y - 10 = y
⇒ y = 5 -----------------------------------------------(3)