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:
b
Step-by-step explanation:
I think the answer is 1.06666666667
Answer:
w = 12
Step-by-step explanation:
W=48/4
W=12 ANS. FOR THE WIDTH.
L=12+8=20 ANS. FOR THE LENGTH.
PROOF:
2*20+2*12=64
40+24=64
64=64
Answer:
What goes in the blank is 2
Step-by-step explanation:
In this question, we want to know what goes into the bracket when factorizing the expression above.
What we have a problem with is the terms x^2 - 4x + 4
We can rewrite this as;
x^2 -2x - 2x + 4
x(x-2) -2(x - 2)
That would thus be (x-2)^2
What goes into the bracket is thus the number 2
