Answer:
<em>x = -2</em>
<em>y = -5</em>
Step-by-step explanation:
<u>Properties of a Parallelogram</u>
- Two pairs of opposite sides are parallel.
- Two pairs of opposite sides are equal in length.
- Two pairs of opposite angles are equal in measure
- The diagonals bisect each other.
- Adjacent angles are supplementary.
- Each diagonal divides the quadrilateral into two congruent triangles.
Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:
y + 23 = -4y - 2. And
-2x + 6 = x + 12
Solve the first equation. Adding 4y:
5y + 23 = - 2
Subtracting 23:
5y = -25
Dividing by 5:
y = -5
Solve the second equation. Subtracting x and 6:
-3x = 6
Dividing by -3:
x = -2
Solution:
x = -2
y = -5
Answer:
4187 ft³
Step-by-step explanation:
πr³
π = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
Radius = 20 / 2 = 10 feet
(4/3) x 3.14 x 10³ = 4187 ft³
140 = (7/15)x
140/(7/15) = x/(7/15)
300 = x
The elevation change of the Wild Cave tour is 300ft.
No, as if you reduce 4/16 it is 1/4, not 3/5, therefore they are not equivalent.
