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.
Answer: 0.15.
Step-by-step explanation:This is the same as moving the decimal point two places to the left. For example, 15% is equivalent to the decimal 0.15. Notice that dividing by 100 moves the decimal point two places to the left.
Answer:
70%
Step-by-step explanation:
Total number of teenagers surveyed
12+20+38+20+10 = 100
Find the number of teenagers with 3 or fewer pairs of shoes
12+20+38 =70
P(3 or fewer) = teenagers with 3 or fewer/ total
= 70/100
= 70%
Answer: −6c−j−9
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
The question tells us that 2.54 cm is equivalent to 1 inch. The next part wants to know what 5.08 cm is in inches. We can just divide 5.08 by 2.54 to figure that out.
5.08/2.54 = 2
This means that 5.08 cm is 2 inches.
The next one wants to know how many centimeters 10 inches is. We can 2.54 and multiply it by 10.
2.54 · 10 = 25.4
This means that 25.4 cm is 10 inches.