Question

direction:ln parallelogram HOPE, the value of each of the unknown variables and the indicated sides.


plss answer my question guysss!!​

Answer 1

Answer:

Step-by-step explanation:

According to the property of the parallelogram , The diagonals of a parallelogram bisect each other at the point of their intersection .

HS = SP and ES = SO.

According to the property

HS = SP

4x = 12

x = 12/4

x = 3

ES = SO

y +3 = 2y -8

y - 2y = -8 - 3

-y = -11

y = 11

3. EP

EP = HO

The opposite sides of a parallelogram are of equal length.

4. EO

EO = ES + SO

EO = y +3 + 2y -8

EO = 11 +3 + 2 × 11 -8

EO = 14 + 22 -8

EO = 14 + 14

EO = 28

5. HP

HP = HS + SP

HP = 4x + 12

HP = 12 +12

HP = 24