Answer:
The proof is explained step-wise below :
Step-by-step explanation :
For better understanding of the solution see the attached figure :
Given : ABCD is a Parallelogram ⇒ AB ║ DC and AD ║ BC
Now, F lies on the extension of DC. So, AB ║ DF
To Prove : ΔABE is similar to ΔFCE
Proof :
Now, in ΔABE and ΔFCE
∠ABE = ∠FCE ( alternate angles are equal )
∠AEB = ∠FEC ( Vertically opposite angles )
So, by using AA postulate of similarity of triangles
ΔABE is similar to ΔFCE
Hence Proved.
2x^2 - 2x - 40 = 2x^2 -10x + 8x - 40 = 2x(x - 5) + 8(x - 5)
= (x-5)(2x+8) = 2(x-5)(x+4)
Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
<em>Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.</em>
Answer: 96 inches of wood
Step-by-step explanation:
24 × 4 = 96
So he would need 96 inches of wood!
Hope this helps!!! Good luck!!! ;)
Answer: 105 meters
Step-by-step explanation:
Ostrich's running rate is 63 meters/3 seconds. This can be reduced to 21 meters/second (21 m/s).
(21 m/s)*(5 sec) = 105 meters
