Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
Answer:
see explanation
Step-by-step explanation:
In a rectangle
• All angles are right angles
• the diagonals are congruent
In Δ WXV the sum of the 3 angles = 180°
∠ WXZ = ∠ XWY = 
= 
= 58°
∠ YXZ = 90° - 58° = 32°
∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )
∠ XWZ = 90° ( by definition of rectangle )
∠ XZY = ∠ WXZ = 58° ( corresponding angles )
Answer:
3 both ways x = 3
EXPLANATION:
plug in inputs and do a little simplifying we get
x = 6 ± √(36-36) all of that over 2
So we simplify and we get 6±sqrt(0) / 2
Then we get 6/2 = 3
x-0 = x+0
thats why there is only one answer
Answer:
it takes 11,600
Step-by-step explanation:
because a mile is 5,280 feet and both of you feet are moving the wheels and that should be multiplied by 2.
Answer: 2
Step-by-step explanation:
