True
<span>Vertical angles are opposite angles with the same vertex </span>
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:
x = 13
Step-by-step explanation:
First start with the blank equation

Plug in the legs and hypotenuse. Remember c squared is always the hypotenuse.

Then solve
25 + 144 = 
169 =

c = 13
Answer:
1/3 divided by 3= 1/9
9 divided by 1/3= 27
Step-by-step explanation: