Answer:
In a quadrilateral, the two pairs of opposite angles are congruent. One of the properties of any quadrilateral is that the opposite angles must be congruent.
Step-by-step explanation:
Answer:
Third option.
Step-by-step explanation:
You need to cube both sides of the equation. Remember the Power of a power property:

![\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%5C%5C%5C%5C%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%29%5E3%3D%283x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%29%5E3%5C%5C%5C%5C162x%5Ecy%5E5%3D27x%5E6y%5E36y%5Ed)
According to the Product of powers property:

Then. simplifying you get:

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

Answer:
x = 0.781 , y = -1.219
and
x = -1.281 , y = -3.281.
Step-by-step explanation:
Since both of the x terms are equal to y we can equate the x terms:-
-2x^2 = x - 2
2x^2 + x - 2 = 0
x = [-1 +/- √(1^2 - 4*2*-2) ] / 4
= ( - 1 +/- √(17)) / 4
= 0.781, -1.281.
When x = 0.781 y = 0.781 - 2 = -1.219.
when x = -1.281 , y = -1.281 - 2= -3.281.
The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.
a. Write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights.
I believe the answer is 21