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.
The height of the triangle is 48/b or 48 over b. That's all I can tell you with the information given.
Answer:
The midpoint is (2,0)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
(5+-1)/2 =4/2 =2
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(6+-6)/2 =0/2 =0
The midpoint is (2,0)
Answer:
192 yd³
Step-by-step explanation:
The volume of a rectangular pyramid is given by the formula:
In this case: