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: 0
35X +14=3X +14
35X = 3X
35X-3X=0
32X = 0 divide both sides by 32
x=0
Answer:
The warehouse will need 40 solar panels
Step-by-step explanation:
3/5 kilowatts is generated by 1 solar panel
24 kilowatts will be generated by ?
24 ÷ 3/5 = (24×5)/3 = 120/3 = 40 solar panels.
Answer:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
Step-by-step explanation:
if Ruth is x, esmerelda is 5x,
four years ago,
Ruth is x+4, esmerelda is 5x+4, depend on the sum, we get:
x+4+5x+4=22, x=7/3
so:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
they are the same so set them equal
3x-10=2x+40 now combine like terms
3x-2x=40+10
x=50
