Answer:
The length of AE is 11.8 units.
Step-by-step explanation:
Given the triangle ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20. we have to find the length of side AE.
In ΔACE and ΔABC
∠A=∠A (Common)
∠ABC=∠ACE (Given)
∴ By AA similarity, ΔACE is similar to ΔABC
Hence by triangle proportionality theorem,
⇒ 
⇒ 
⇒ 
Question 1: To find volume the formula is Length× Width × height
So it would be 2 1/2× 6 × 3 1/2= 5 1/2
So the volume is 5 1/2
Question 2: You have to multiply 6 × 4 = 24
L x - 2 l = l 4 + x l
Remember : Absolute is just the distance from zero.
Ex : l -4 l turns into 4, as it is 4 spaces away from zero on a number line :)
l x - 2 l turns into x + 2
l 4 + x l stays the same.
So, our equation now looks like this :
x + 2 = 4 + x
So, we're basically just trying to get x by itself.
So, subtract 2 from both sides.
x = 4 + x - 2
Then, subtract x from both sides.
x - x = 4 -2
0 = 2
Therefore, there are no solutions to this equation :)
~Hope I helped!~
Answer: See below
Step-by-step explanation:
14) 26/52 of the cards are red, 1/2
15) All of the cards are red or black, 1/1
16) 4/52 of the cards are aces, 1/13
17) 12/52 of the cards are J/Q/K, 3/13
Convert the fractions to whatever unit is needed.
