Answer:
EF = HG and EF || HG
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles.
A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:
- Opposite sides are equal and parallel.
- Opposite angles are equal to each other.
- Consecutive angles are supplementary
- The diagonals of a parallelogram bisect each other.
If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG
Answer:
x = 4 , y = -1
Step-by-step explanation:
x - 3y = 7 -- (1)
3x - 3y = 15 -- (2)
Rewriting (1), x = 3y + 7 -- (1)'
Substituting (1)' into (2),
3 ( 3y + 7 ) - 3y = 15
9y + 21 - 3y = 15
6y = -6
y = -1 -- (3)
Substituting (3) into (1),
x - 3 ( - 1 ) = 7
x + 3 = 7
x = 4 -- (4)
According to (3) and (4),
x = 4 , y = -1
In order to answer this question let's suppose,
Joe is x miles from the beginning and y miles from the end. These assumptions are necessary to answer further:
Now,
x=2y
x+y=30
plugging in x=2y in the above equation
2y+y=30
3y=30
y=10
Hence, according to our calculations, Joe has to hike 10 miles further
