Answer:
The m∠ U is 72°.
Step-by-step explanation:
Given:
![\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\](https://tex.z-dn.net/?f=%5Cangle%20S%20%3D%2090%5C%5C%5Cangle%20T%20%3D%202x%5C%5C%5Cangle%20U%20%3D%20x%5C%5C%5Cangle%20V%20%3D%202x%5C%5C%5Cangle%20W%20%3D%2090%5C%5C)
To find :
![\angle U = x = ?](https://tex.z-dn.net/?f=%5Cangle%20U%20%3D%20x%20%3D%20%3F)
Solution:
The sum of the measures of the interior angles of a polygon with 'n' sides is given as
![\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180](https://tex.z-dn.net/?f=%5Ctextrm%7Bsum%20of%20the%20measures%20of%20angle%20of%20a%20polygon%20with%20%27n%27%20sides%7D%20%3D%20%28n%20-%201%29%5Ctimes%20180)
Here we have n = 5 on substituting the values we get
![\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72](https://tex.z-dn.net/?f=%5Cangle%20S%20%2B%5Cangle%20T%20%2B%20%5Cangle%20U%20%2B%5Cangle%20V%20%2B%20%5Cangle%20W%20%3D%20%285%20-2%29%5Ctimes%20180%5C%5C90%20%2B%202x%20%2B%20x%20%2B%202x%20%2B%2090%20%3D%203%5Ctimes%20180%5C%5C5x%20%2B%20180%20%3D%20540%5C%5C5x%20%3D%20540-180%5C%5C5x%20%3D%20360%5C%5Cx%20%3D%20%5Cfrac%7B360%7D%7B5%7D%5C%5Cx%20%3D%2072)
Therefore,
m∠ U is 72°.
Answer:
3m^4
Step-by-step explanation:
the third one
Answer:
36
Step-by-step explanation:
Think of the unknown sized side as a half of 12 and multiply them together when your triangle is obtuse like that. and split the answer from 6 times 12.
I hope this helped you!
If the ratio of red marbles to blue marbles in a jar is 3 to 8, the meaning is for every 3 red marbles there are 8 blue marbles.
3 red marbles------------------8 blue marbles.
ratio=3/8
we have 40 blue marbles; we have to compute the number of red marbles.
1) Method 1; by the rule three.
3 red marbles-----------------8 blue marbles
x----------------------------------40 blue marbles
x=(3 red marbles * 40 blue marbles) / 8 blue marbles=15 red marbles.
answer: B. 15
Method 2: the ratio of red marbles to blue marbles is
ratio=number of red marbles / number of blue marbles
ratio=3/8
if we want to compute the number of red marbles we have to multiply the number of blue marbles by this ratio.
number of red marbles=ratio (red/blue)* number of blue marbles
number of red marbles=(3/8)*40=15
Answer: B.15
The side length is 5 units, and the area is 25 square units
<h3>What are areas?</h3>
The area of a shape is the amount of space it occupies
<h3>What is the area of a square</h3>
The area of a square is the product of its dimensions
From the graph, the coordinates of the square can be assumed to be:
![A = (0,0)](https://tex.z-dn.net/?f=A%20%3D%20%280%2C0%29)
![B = (4,3)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C3%29)
The side length of the square is then calculated using the following distance formula
![d = \sqrt{(x_2- x_1)^2 + (y_2 -y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-%20x_1%29%5E2%20%2B%20%28y_2%20-y_1%29%5E2%7D)
So, we have:
![AB = \sqrt{(0 - 4)^2 + (0-3)^2}](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%280%20-%204%29%5E2%20%2B%20%280-3%29%5E2%7D)
![AB = \sqrt{25}](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B25%7D)
![AB = 5](https://tex.z-dn.net/?f=AB%20%3D%205)
The area of the square is the calculated as:
![Area = AB^2](https://tex.z-dn.net/?f=Area%20%3D%20AB%5E2)
This gives
![Area = 5^2](https://tex.z-dn.net/?f=Area%20%3D%205%5E2)
![Area = 25](https://tex.z-dn.net/?f=Area%20%3D%2025)
Hence, the side length is 5 units, and the area is 25 square units
See attachment for the diagram of the shape
Read more about areas at:
brainly.com/question/24487155