Answer:
m∠PRT = 114°
m∠T = 37°
m∠RPT = 29°
Step-by-step explanation:
This question is incomplete (without a picture) ; here is the picture attached.
In this picture, an airplane is at an altitude 12000 feet.
When the plane is at the point P, pilot can observe two towns at R and T in front of plane.
We have to find the measure of ∠PRT, ∠T and ∠RPT.
Form the figure attached segment PS is parallel to RT and PR is a transverse.
We know that internal angles formed on one side of the parallel lines by a transverse are supplementary.
Therefore, x + 66 = 180
x = 180 - 66 = 114°
∠PRT = x = 114°
m∠RPT = m∠SPR - m∠SPT
= 66 - 37
= 29°
Since m∠PRT + m∠T + m∠RPT = 180°
114 + ∠T + 29 = 180
143 + ∠T = 180
∠T = 180 - 143
∠T = 37°
Answer:
1 2/3 x 9/16
Step-by-step explanation:
1047.84ft² is not covered by the pool.
Find the area of the yard covered by pull using the area of a circle formula (the height is irrelevant in this case). If the diameter of the pool is 24 feet, its radius is 12 (half of the diameter)
A = 3.14r^2
A =3.14(144)
A = 452.16 ft²
Subtract the area of the pool from the area of the yard to get the area of the yard that is not covered by the pool. If the dimensions of the yard are 30ft by 50ft, you multiply them to get the area: 1500ft²
Total yard area: 1,500ft²
Area of yard without pool: 1,500ft² - 452.16ft² = 1047.84ft²
Answer:
14 and 17
Step-by-step explanation:
x+y=41
y=2x-1
x+(2x-1)=41
3x-1=41
3x=42
x=14
y=2(14)-1=27