Answer:
x = 60
m∠G = 114 degrees
Step-by-step explanation:
- In any parallelogram, every two opposite angles are equal in measures
In the given figure
∵ EFGH is a parallelogram
∵ ∠E and ∠G are opposite angles
→ By using the rule above
∴ m∠E = m∠G
∵ m∠E = (2x - 6)°
∵ m∠G = (x + 54)°
→ Equate them
∴ 2x - 6 = x + 54
→ Subtract x from both sides
∵ 2x - x - 6 = x - x + 54
∴ x - 6 = 54
→ Add 6 to both sides
∵ x - 6 + 6 = 54 + 6
∴ x = 60
→ Substitute the value of x in the expression of ∠G to find it
∵ m∠G = 60 + 54
∴ m∠G = 114 degrees
0.5 is 10 times as much as 0.05
9514 1404 393
Answer:
D. Eric is correct; slopes are opposite reciprocals
Step-by-step explanation:
If they were to actually graph the lines, they could see immediately that the lines are perpendicular. Perpendicular lines have opposite reciprocal slopes.
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Solving the first equation for y gives ...
2x +3y = 12
3y = -2x +12
y = -2/3x +4
The slope of -2/3 for this first line is the opposite reciprocal of the slope 3/2 that the second line has.
Eric is correct; slopes are opposite reciprocals (choice D)
X=Amount of games in each case.
He has 2 cases of videos games with the same number of games in each case:
2x+2x
He gives 4 away to his brother:
2x+2x-4
Now he has 10 games left:
2x+2x-4=10
4x-4+4=10+4
4x/4=14/4
X=3.5. round up to 4 because you can’t have .5 of a game.
Richordo had 4 video games in each case.
Answer:
-2
Step-by-step explanation:
Because thats the answer