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
The lengths of AC and AB are each 10.6 units.
<u>Step-by-step explanation</u>:
Perimeter of a triangle = Sum of all the three sides of a triangle
- Perimeter = 3a
- where, a is the length of the each sides of a triangle.
⇒ 32 = 3a
⇒ a = 32/3
⇒ a = 10.6
Answer- A-16
Because when doing completing the square, you divide the coefficient of x by 2, which is 4, and the square it which is 16
answer:
-4
Step-by-step explanation:
-3x+8= 20
-8 -8
-3x = 12
÷-3. = ÷-3
x = -4
