<u>Answer</u>
20
<u>Explanation</u>
USP is a triangle,
The angle at the center is double the angle at the circumference.
∴ <VSU at the circumference = 80/2 = 40°
< USP = 180 - 40 = 140. (angles in a straight line)
The angle SUT = 20
Angles in a triangle add up to 180.
180 - (140 + 20) = 180 - 160
= 20°
3x+15+11x-5/2=47
14x+10/2=47
7x+5=47
7x=42
x=6
Answer:
Step-by-step explanation:
Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)
This gives us the fraction: 
We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: 
Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:
which can be simplified in exponent form as: 
, now all we have to do is divide the 24 by the 3, to get 8
This gives us the answer:
3wx/6x * 3wx/9w = w/2 • x/3 = xw/6
Answer: xw/6
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
