Answer:
45°
Step-by-step explanation:
A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).
For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).
Consecutive angles are supplementary that is ∠A + ∠B = 180°.
The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.
In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:
∠H = ∠J (opposite angles of a parallelogram are equal)
∠J = 45°
Answer:
D. (17,-1)
Step-by-step explanation:
We'll start by canceling out x. To do so, multiple the first equation by -1
-1( x - 2y)=( 19 )(-1)
This gives us:
-x +2y = -19
x + 3y = 14
Add the equations together:
→ 5y = -15
→ y = -1
Plug in y = -1 into an equation:
→ x + 3(-1) = 14
→ x - 3 = 14
→ x = 17
(17,-1)
Hope this helps!
Answer:
The length of the third side of the triangle is 30.
Step-by-step explanation:
Here is the formula for the Pythagorean Theorem:

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!
We need to multiply 40 times 40 and 50 times 50.
40 times 40, or 40 squared, equals to 1600.
50 times 50, or 50 squared, equals to 2500.

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.
Answer:
the answer is (C) 2(1-2x)=x-3
-2x=5 is the right answer