Answer:
The angle Matt drew = 180°
Step-by-step explanation:
The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.
Let the equal angles drawn = x
x + x + x + x + x + x + x + x = 360°
8 × x = 360°
8x = 360
x = 45°
∴ each angle drawn = 45°
Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.
Finding the measure of this angle:
1 section in the circle = 45 (<em>shown above</em>)
∴ 4 sections = 45 × 4 = 180°
∴ The angle Matt drew = 180°
Answer:
(3,1) because x is 3 and y is 1.
Step-by-step explanation:
x+2y=5
3x+5y=14
Multiply first equation by 3:
3x+6y=15
3x+5y=14
Subtract 3x:
1y=1
Therefore, y = 1
Plug it back into 1st equation:
x+2(1)=5
x+2=5
Therefore, x = 3
Judging from your answers, it looks like (3,1) because x is 3 and y is 1.
I hope this helped!
The remaining factor of x^2y - 2xy - 24y is (x - 6)(x + 4)
<h3>How to determine the remaining factor?</h3>
The expression is given as:
x^2y - 2xy - 24y
Factor out y from the expression
y(x^2 - 2x - 24)
Expand the equation
y(x^2 + 4x - 6x - 24)
Factorize
y(x - 6)(x + 4)
Hence, the remaining factor of x^2y - 2xy - 24y is (x - 6)(x + 4)
Read more about factored expression at:
brainly.com/question/19386208
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Answer:
6 hours, 30 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
