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.
You can get 18 dishes from 4 1/2 of a carton of Dan's ice cream.
Answer:
Mode: 5 and 8
Median: 6.5
Step-by-step explanation:
Mode - the number that appears the most in a set of data. There may be no mode ( when no number out numbers the others) or multiple modes ( multiple numbers appear the same number of times). Both 5 and 8 appear twice in this set.
Median - The middle number. To start, order your numbers from least to greatest.
1, 3, 5, 5, 8, 8, 10, 14
You have an even set of numbers (8 in total), which means there won't be one number left in the middle. In this situation, there are two: 5 and 8. So you just need to add them together and divide by 2
8 + 5 = 13
13/ 2 = 6.5
