On an isosceles trapezoid, the two sides that are not parallel to each other will be exactly the same length. If this is true, than it would be create a symetric trapezoid. The diagonals would be the same length. The bases of any trapezoid are parallel, so this is true. The diagonals cannot possibly be perpendicular because the 2 nonparallel sides would be slanted. So, the answer is the 3rd choice.
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°
The answer for the first blank is 36 and the answer for the second blank is 97.
To complete the square, we first take half of the value of b. The value of b in this equation is -12; -12/2 = -6.
Next we square the value we just got: (-6)² = 36.
This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36
Combining like terms on the right, we have
x²-12x+36=97