The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Identify the consta
nt of proportionality and write an equation for the proportional relationship.
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
1 answer:
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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.
