Answer:
Proved with RHS congruency rule.
Step-by-step explanation:
Given ΔEAB and ΔDCB are two right triangles. The figure has ∠BED≅ ∠BDE. Point B is the midpoint of segment AC.
We have to prove that ΔEAB ≅ ΔDCB
In ΔEAB and ΔDCB
BE=BD (∵∠BED≅ ∠BDE)
AB=BC (given B mid-point)
By RHS congruency rule which states that two right triangles are congruent if the hypotenuse and one side of triangle are respectively equal to the hypotenuse and the corresponding side of the other triangle.
Hence, By RHS rule
ΔEAB ≅ ΔDCB
Hence Proved.
Answer:
x=3, y=15
Step-by-step explanation:
We substitute 5x for y, getting 5x = -3x + 24. We add 3 x to both sides, and have a equation like this: 8x = 24. Divide by 8 on both sides, and we know that x = 3. Since y is 5x, y is 5*3, which is 15.
I would say that There is no Solution
The correct answer is x = 6