Answer:
The values of x and y is given by the equation 
.
Step-by-step explanation:
Given : Five whole numbers are written in order 4 6 x y 10
, the mean and median of the five numbers are the same.
To find : The values of x and y ?
Solution :
Observations 4, 6, x, y, 10.
Mean is summation of observation divided by number of observation.
i.e. 
Median is middle term of observations.
Median of odd terms 
term
term
The mean and median of the five numbers are the same.
i.e. 
The values of x and y is given by the equation .
Answer:
m∠A = 91°
m∠B = 146°
m∠C = 89°
m∠D = 34°
Step-by-step explanation:
- If the four vertices of a quadrilateral lie on the edge of a circle, then this quadrilateral is called cyclic quadrilateral
- In the cyclic quadrilateral each two opposite angles are supplementary (means the sum of their measures is 180°)
- The sum of the measures of the interior angles of any quadrilateral is 360°
In quadrilateral ABCD
∵ A, B, C, And D lie on the circumference of the circle
∴ ABCD is a cyclic quadrilateral
∴ The sum of the measures of each opposite angles is 180°
∵ ∠A and ∠C are opposite angle in the cyclic quadrilateral ABCD
∴ m∠A + m∠C = 180°
∵ m∠A = (2x + 3)°
∵ m∠C = (2x + 1)°
- Add them and equate the answer by 180
∴ (2x + 3) + (2x + 1) = 180
- Add the like terms in the left hand side
∴ 4x + 4 = 180
- Subtract 4 from both sides
∴ 4x = 176
- Divide both sides by 4
∴ x = 44
Substitute the value of x in the expressions of angle A, C, D
∵ m∠A = 2(44) + 3 = 88 + 3
∴ m∠A = 91°
∵ m∠C = 2(44) + 1 = 88 + 1
∴ m∠C = 89°
∵ m∠D = x - 10
∴ m∠D = 44 - 10
∴ m∠D = 34°
- ∠B and ∠D are opposite angles in the cyclic quadrilateral ABCD
∴ m∠B + m∠D = 180°
∴ m∠B + 34 = 180
- Subtract 34 from both sides
∴ m∠B = 146°
Answer:
Here is what I did
Step-by-step explanation:
Let w be the number of weeks. He withdraws $25 per week, so in w weeks, he withdraws 25w. He starts with $500, so after w weeks he has 500 - 25w. He wants this amount to be at least $200. "At least" means "greater than or equal to."
500 - 25w >= 200
-25w >= -300
w <= 12
Answer: Keith can withdraw $25 per week for at most 12 weeks.
Alright, lets get started.
The answer Sandra got is correct that is zero but there are some mistakes she made while writing steps.
Incorrect step
Because as per even/odd identity,
Cot (-Θ) = - cot (Θ)
Hence
Now,
It could be written as
0
Hence the answer is 0. : Answer
Hope it will help :)
