Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore, 
⇒ 
⇒ 
⇒ 
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
Answer:
10*9*4=360
Step-by-step explanation:
Volume = Length * Width * Height
Answer:10x^2 -18
Step-by-step explanation:since f(x) is becoming the new x then youd subtitute the equation into the x of the g(x) equation. which would be 5(2x^2 -5) +7 which is 10x^2 -25 +7.and you'd simplify from there.
Answer:
wdym get rid of the "stupld"
Step-by-step explanation:
Answer:
0.6535
Step-by-step explanation:
Given that during a one-hour period twenty-five customers buy gasoline at this station.
Let X be the no of persons out of these 25 who pay by cash.
X has two outcomes and each trial is independent of other.
Hence X is binomial (n=25, p=0.40)
Required probability
= 
=0.6535