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: 1.7 miles
Step-by-step explanation:
dog is walked four times a week
6 2/3 miles in all
6 2/3 divided by 4 = 1.66666667
1.66666667 rounded to nearest tenth = 1.7
26 is a part of the whole. the proportion should be set up:
(26/x) = (5/100) It's the overall enrollment that is being asked.
If you also need to solve: Cross multiply, 26(100) = 5x, 2600 = 5x, divide both sides by 5, 520 is the enrollment
Answer:
y = (1/5)x - 8
Step-by-step explanation:
It's slope-intercept form y=mx+b and we just substitute m=1/5, b= -8.
Yes she will have enough. Here is why.
10 1/8 x 13 3/4 = 139
Therefore the room is 139 square feet. She has 150 square feet of carpet, so she has enough.
