Question

Can some one please help me with these five questions

Answer 1

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, $4x+1=6x-9$

 $2x = 10$

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, $2n+15+4n+21 = 180$

$6n = 144$

n = $\frac{144}{6} = 24$

∠EFG = 2(24) +15 = 63 degrees

∠GFH= 4(24) +21 = 117 degrees

5) diameter = 7 cm

radius = 3.5 cm

circumference = $2\pi R = 2\pi (3.5) = 2(3.14)(3.5) = 21.98 cm$