I forgot I had the answer
Consider the parallelogram shown below.
The lengths of the sides are a and b.
The lengths of the diagonals are 2x and 2y.
Because the diagonals are both congruent and perpendicular, therefore there are two right triangles as shown.
Note that x = y.
Because x = y, each right triangle is isosceles and has the angles 90°, 45° and 45°.
From the Pythagorean theorem,
For one right triangle,
a² = x² + y² = x² + x² = 2x².
For the other right triangle,
b² = y² + x² = x² + x² = 2x²
Therefore
a² = b²
a = b
It follows that all sides of the parallelogram are equal and each angle is
45+45 = 90°
Therefore the parallelogram is a square.
Answer:
B measures 66°
C measures 66° .Sum of all angels is 180° .
Answer:
x=13
z=84
Step-by-step explanation:
The intersection of two of these lines actually have relationships. The two angles that have the variable x both add up to 180 degrees since we assume for them to be a straight line, and the angle with '11x-59' is equal to Z since they are vertical from each other.
Knowing this, we can add the two equations together and equal it to 180. This is to give us the variable x.
(11x-59)+(13x-73)=180 (always use parenthesis!)
24x-132=180 (combine like terms)
24x=312
x=13 (isolate x)
We now know that the x stands for 13, but we are not done. By plugging in the variable x in for the equation 11x-59, we can find the value of z since they are vertical angles.
11(13)-59=84
z=84
60 * 0.10 = 6
$6 price off
60 - 6 = $54
Solution: new price: $54