Answer:
1)PT = 21 units
2)Option D
3)Option A
4)∠EFG = 2(24) +15 = 63 degrees
∠GFH= 4(24) +21 = 117 degrees
5) circumference = 21.98 cm
Step-by-step explanation:
1) As the T is midpoint, PT is equal to TQ in magnitude.
Thus, [tex]4x+1=6x-9[/tex]
[tex]2x = 10[/tex]
x=5.
Thus, PT = 4(5) + 1 = 21
2) The planes XTS and VRS intersect in the line SW, and the intersection is perpendicular.
3)For a line to be defined, it must have 2 points, start and end.
The option A) is not defined properly, so incorrect
4)As the angles are linear pair, their sum is 180 degrees.
Thus, [tex]2n+15+4n+21 = 180[/tex]
[tex]6n = 144[/tex]
n = [tex]\frac{144}{6} = 24[/tex]
∠EFG = 2(24) +15 = 63 degrees
∠GFH= 4(24) +21 = 117 degrees
5) diameter = 7 cm
radius = 3.5 cm
circumference = [tex]2\pi R = 2\pi (3.5) = 2(3.14)(3.5) = 21.98 cm[/tex]
