Answer:
∡b = 53°
∡d = 127°
∡c = 127°
Step-by-step explanation:
in trapezoids, the two top angles are equal and the two bottom are equal
also, there are 360 degrees in any 4-sided polygon
53 + 53 + x + x = 360
2x + 106 = 360
2x = 254
x = 127
Answer: a = 3∛2
<u>Step-by-step explanation:</u>
ab⁴ = 384 --> a = 384/b⁴
Substitute a = 384/b⁴ into the second equation to solve for "b".
a²b⁵ = 4608
![\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b](https://tex.z-dn.net/?f=%5Cbigg%28%5Cdfrac%7B384%7D%7Bb%5E4%7D%5Cbigg%29%5E2%5Ccdot%20b%5E5%3D4608%5C%5C%5C%5C%5C%5C%5Cdfrac%7B147%2C456b%5E5%7D%7Bb%5E8%7D%3D4608%5C%5C%5C%5C%5C%5C%5Cdfrac%7B147%2C456%7D%7Bb%5E3%7D%3D4608%5C%5C%5C%5C%5C%5C%5Cdfrac%7B147%2C456%7D%7B4608%7D%3Db%5E3%5C%5C%5C%5C%5C%5C32%3Db%5E3%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7B32%7D%20%3Db%5C%5C%5C%5C%5C%5C2%5Csqrt%5B3%5D%7B4%7D%20%3Db)
Substitute b = 2∛4 into the first equation to solve for "a".
ab⁴ = 384
a(2∛4)⁴ = 384
a = 384/(2∛4)⁴
a = 24/4∛4
= 6/∛4
= 6(∛2)/2
= 3∛2
The variance for the data is 17,507. 5.
Given
The weekly salaries of a sample of employees at the local bank are given in the table below.
Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.
<h3>Variance</h3>
Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean value of the salaries of employees is;

The variance is given by;

Hence, the variance for the data is 17,507. 5.
To know more about variance click the link given below.
brainly.com/question/7635845
Answer:
Step-by-step explanation:
In terms of distance, a decreasing slope means a slowing speed, which leads to a shorter distance.
Answer:
The answers are C,F
Step-by-step explanation:
Those are the coordinates where the lines intercept the x-axis.