The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.
Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
Answer:
0.756
Step-by-step explanation:
It is given that a machine has four components, A, B, C, and D.

If these components set up in such a manner that all four parts must work for the machine to work properly.
We need to find the probability that the machine works properly. It means we have to find the value of
.
If two events X and Y are independent, then

Assume the probability of one part working does not depend on the functionality of any of the other parts.

Substitute the given values.



Therefore, the probability that the machine works properly is 0.756.
It's 11, 13, 17, 19, 23 and 29.
(x² - 1)^-2/3
∛(x² - 1)-²
∛(1/(x² - 1)(x² - 1))
∛(1/(x^4 - x² - x² + 1))
∛(1/(x^4 - 2x² + 1))
1/x^4/3 - 1.25992105x^2/3 + 1