Answer: B) 65 degrees
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angle AEB = angle GEC
5x = 3x+10
5x-3x = 10
2x = 10
x = 5
angle GEC = 3x+10
angle GEC = 3*5+10
angle GEC = 25 degrees
Angle FEG = 90 - (angle GEC)
Angle FEG = 90 - 25
Angle FEG = 65 degrees
Let's see what the options look like when we multiply the expressions in brackets:
(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))
3x2 +6x -3x +6// this is not correct
(2) (3x + 3)(x - 2) </span>
3x2-6x+3x-6//this is not correct
(3)
3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!
Let H be the number hats and J the number of jackets. Then, we can write,

Now, since they want 250 items at least, we can write

Hence, the system of inequalities is
Answer:
Yes
Step-by-step explanation:
If the the trapezoid is Isosceles, meaning the legs, or the line segments connecting the bases are equal.
Answer:
C
Step-by-step explanation:
This is your current equation: y= 3x + b. Next, plug in one of your coordinates to the equation. It doesn't matter which one. I'm going to use the second ordered pair, so it should look like this: 5 = 3(0) + b. Multiply 3 and 0 to get 5 = b. So, your equation is y = 3x + 5. The correct answer is C. Hope this helped!