Answer:
The answer is 3
Step-by-step explanation:
Answer:
m∠1 = 24°
m∠3 = 66°
m∠6 = 66°
Step-by-step explanation:
They are all near the corners of the rectangle
The corners always equal 90°
But as you can see, they are split down the middle by the X in the rectangle and we have only one angle to go off of; 24°
Since m∠1 is in the same triangle as that angle, and it looks exactly the same, the angle is exactly the same.
m∠3 and m∠6, if you look closely, are also the same. And as I said before, the corners always are 90°. Since 24° is taken from the neighboring triangle, the amount left is 66°, and remember, 24° + x° HAS to equal EXACTLY 90°. So
90 - 24 = 66
So both m∠3 and m∠6 = 66°
151 * 5 = 755
23,000 - 755 = 22,245
It'll be worth $22,245 in 5 years.
Answer:
x = 1 + i, x = 1 - i
Step-by-step explanation:
Make the second equation y = 3x - 1
Substitute: 3x - 1 = 1/2x^2 + 2x
Simplify: 6x - 2 = x^2 + 4x
x^2 + 4x + 2 = 6x
x^2 - 2x + 2 = 0
Complete the square: x^2 - 2x + 1 = - 1
(x - 1)^2 = -1
x - 1 = ± √-1
Take out the negative: x - 1 = ± i
x = 1 + i, x = 1 - i
i is for imaginary number
