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
35.6 minutes
S = v*t = 8 * 40/60 = 16/3 m
=> t = s/v = 16/(3*9) = 35.555555 minutes
Answer:
1400
Step-by-step explanation:
since it was a discount you add the new price to the discount and get the markerd price
Answer:
y = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.75y−1.5y+0.5=5
0.75y+−1.5y+0.5=5
(0.75y+−1.5y)+(0.5)=5(Combine Like Terms)
−0.75y+0.5=5
−0.75y+0.5=5
Step 2: Subtract 0.5 from both sides.
−0.75y+0.5−0.5=5−0.5
−0.75y=4.5
Step 3: Divide both sides by -0.75.
Hope this helps!
:)
:)
:)
-Josh
