Question

Can someone plz help me with number 6 I’m not under stand this show work plzz

Answer 1

Check the picture below.

Answer 2

Answer:

Step-by-step explanation:

P = 9x + 6 + x + 18 + 2x + 23 + 7x - 2 = 19x + 45.

2x + 23 = 7x - 2

   5x = 25

   x = 5

Therefore P = (19)(5) + 45 = 140.

EF = 23, FG = 51, EG = 66.

1) It is a scalene triangle.

2) Angle FEH is acute.

Let a = angle FEH:

23^2 + 66^2 - 2*23*66*cos(a) = 51^2

cos(a) = (23^2 + 66^2 - 51^2)/(2*23*66), which is a positive value, thus a is an acute angle.

3) angle EFG is obtuse.

Let x = angle EFG:

23^2 + 51^2 - 2*23*51*cos(x) = 66^2

(23^2 + 51^2 - 66^2)/(2*23*51) = cos(x)

cos(x) = a negative value, thus x is obtuse.