Answer:
6 degrees
Step-by-step explanation:
In ΔTUV, m∠T = (10x+14) , m∠U = (x-7) , and m∠V = (2x+4). Find m∠U.
We know that the sum of all the angles is 180
Hence
m∠T + m∠U + m∠V = 180
(10x+14) + (x-7) +(2x+4) =180
10x+14+x-7+2x+4 =180
13x+11=180
13x=169
x=13
m∠U = (x-7)
=13-7=6
The sum of all of the exterior angles of any regular polygon is 360 (I'm assuming by decagon you mean a regular dodecagon).
Because the total has to be 360, and a decagon has 10 sides, you divide 360 by 10 to get each exterior angle.
360 ÷ 10 = 36, so each exterior angle of a decagon is 36 degrees.
The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?
Answer:
Length(L)=22 inches
Width(W) = 7 inches
Step-by-step explanation:
GIven:-
Perimeter (p)=58 inches,
Length(L)= one more than 3 times the width(W)
Let, W=x ---------------------------------(equation 1
-----------------------(equation 2)
Here x is unknown and to find the Width(W) we have to find the value of x.
Now,
Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)

----------------(from equation 1)
----------------(given p=58 inches)




----------------------(equation 3)
Now substituting the value of equation 3 in equation 2.





as,
-----------------------(from equation 1)
inches -------------------(equation 3)
Therefore, Length(L) = 22 inches and Width(W) = 7 inches.
I use the is/of=%/100 to solve this type of problem.you first have to find the original number and then find 115% of it to get 460.