Answer:
m∠TUV = 105
Step-by-step explanation:
From the question given above, the following data were obtained:
m∠TUN = 1 + 38x
m∠NUV = 66°
m∠TUV = 105x
m∠TUV =?
Next, we shall determine the value of x. This can be obtained as illustrated below:
m∠TUV = m∠TUN + m∠NUV
105x = (1 + 38x) + 66
105x = 1 + 38x + 66
Collect like terms
105x – 38x = 1 + 66
67x = 67
Divide both side by 67
x = 67 / 67
x = 1
Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:
m∠TUV = 105x
x = 1
m∠TUV = 105(1)
m∠TUV = 105
A=a+b/2·h=9+4/2·3.5=22.75
Hoped I helped!
Answer:

Step-by-step explanation:
Area of the Rectangular Carpet=12*5=60m²
Area of the Square rug=2*2=4m²
Expressing the area of the rug as a fraction of the total area of the carpet, we have:
.
The fraction of the carpet that is covered by the rug is
.