Complementary angles = 90°
x= angle 1
(90-x)= angle 2
Subtract the two angles to get the difference between them (18°).
(90-x) - x= 18
combine like terms
90 - 2x= 18
subtract 90 from both sides
-2x= -72
divide both sides by -2
x= 36° angle 1
Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2
Hope this helps! :)
Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
The correct answer among the choices presented above is option C. The expression yz(xy2z + y + x) is the completely factored form of the given equation <span>xy3z2 + y2z + xyz. When you distribute yz in option c, you will see that the answer is equal to the given equation. </span>
Perimeter is a continuous line forming the boundary of a closed geometrical figure. perimeter of a pentagon = AB+BC+CD+DE+EA (that is 5 sided figure)
so my plan is easy but effective, calculate all those distances using those coordinates with the aid of distance formular. then you add those distances algebraically .
