The adjacent sides parellelogram are 10cm and 8cm . if the perpendicular distance between the smaller sides are 6 cm the distance between the greater side

The distance between the greater sides is 4.8 cm

Step-by-step explanation:

step 1

Find the area of parallelogram

we know that

the perpendicular distance between the smaller sides is also the height of parallelogram

The area of parallelogram is equal to multiply the length of the smaller side by the perpendicular distance between the smaller sides

so

step 2

Find out the distance between the greater sides

we know that

The area of parallelogram is equal to multiply the length of the greater side by the perpendicular distance between the greater sides

Let

x ----> the perpendicular distance between the greater sides

so

we have

substitute

solve for x

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18