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:
1. No solution
2. Infinite solutions
Step-by-step explanation:
1. To solve the system, set the equations equal to each other and solve for x.
2x - 5 = 2x + 7
-5 = 7
This is a false statement. This means there is no solution.
2. To solve the system, graph each equation.
y = -3/4 x - 5/2 has a y-intercept -5/2 and slope -3/4.
3x + 4y = -10 converts to y = -3/4x -5/2.
This graphs as the exact same line. This system has infinite solutions.
Answer:
45 %
Step-by-step explanation:
1 lemon costs 20p and 1 orange costs 45p so an orange costs 25p more
C because I did the math on an app so it’s right
