Question

1 upon 6x = 1upon4y + 3​

Answer 1

Step-by-step explanation:

$\rm\blue{QUESTION}$::

1 upon 6x = 1upon4y + 3

$\rm\green{ANSWER}$::

x + y =5

y=5-x

xy=6

x(5-x)=6

5x-x²=6

0=x²-5x+6

0=x²-2x-3x+6

0=x(x-2)—3(x-2)

0=(x-2)(x-3)

0=x-2, 0=x-3

2=x, 3=x

If x value is 2 then y value is 3

If x value is 3 then y value is 2

Answer 2

Step-by-step explanation:

Answer:

(i) Consider the quadrilateral ABED

We have , AB=DE and AB∥DE

One pair of opposite sides are equal and parallel. Therefore

ABED is a parallelogram.

(ii) In quadrilateral BEFC , we have

(iii) AD=BE and AD∥BE ∣ As ABED is a ||gm ... (1)

and CF=BE and CF∥BE ∣ As BEFC is a ||gm ... (2)

BC=EF and BC∥EF. One pair of opposite sides are equal and parallel.therefore ,BEFC is a parallelogram.

From (1) and (2), it can be inferred

AD=CF and AD∥CF

(iv) AD=CF and AD∥CF

One pair of opposite sides are equal and parallel

⇒ ACFD is a parallelogram.

(v) Since ACFD is parallelogram.

AC=DF ∣ As Opposite sides of a|| gm ACFD

(vi) In triangles ABC and DEF, we have

AB=DE ∣ (opposite sides of ABED

BC=EF ∣ (Opposite sides of BEFC

and CA=FD ∣ Opposite. sides of ACFD

Using SSS criterion of congruence,

△ABC≅△DEF