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 answer is 2/3
I hope this works for you :)
There should be 45 players that have played before
Answer:
8
Step-by-step explanation:
Since they intersect you can just solve for x and y
since y=-4x and y=x^2+2x+8, you can set -4x=x^2+2x+8
add 4x to both sides to make 0=x^2+6x+8
and factor out (x+4)(x+2)
so the solutions for x are -4 and -2
then insert the two values for x into the first equation
so y=-4(-4) and y=-4(-2)
so y=16 and y=8 when x=-4 and x=-2
so the smallest value for y in both equations is 8
Please give brainliest :)
