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:
I think B option is correct ..I m 95% sure
<span>49b^6 = 7b^5(7b)
</span><span>28b^5 = 7b^5(4)
so
</span><span>greatest common factors for 49b^6 and 28b^5 = 7b^5</span>
With the center and the point (-6,2) you can deduce the equation of the circle
(x-xo)^2 + (y-yo)^2 = r^2
(x+3)^2 + (y-4)^ = r^2
r^2 is otained from the center and the point (-6,2)
r^2 = (-6 -(-3))^2 + (2-4)^2 = (-6+3)^2 + (-2)^2 = (-3)^2 + 4 = 9 + 4 = 13.
Then the equation of the circle is
(x+3)^2 + (y-4)^ = 13
Now we subsitute the point (10,4) into that equation and see whether it belongs to it:
(10+3)^2 + (4-4)^2 = 13^2
13^2 ≠ 13, so the point does not belong to the equation.
In this problem, you have to formulate or illustrate the
ratio of proportion:
$234 : 36 hours = $288 : 40 hours
To check if the rates are proportional, you have to multiply
the inner numbers and the outer numbers. If the product is equal, then they are
proportional
234 x 40 ? 288 x 26
9,360 ? 7,488
9,360 is not equal to 7,488
Therefore, the pay rates of these two people are not
proportional.
