Question

Can someone help me with this!

Answer 1

Answer:

Please read the answers below.

Step-by-step explanation:

Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °

5. If LN = 46, then we have:

OM = 46 (Same length than LN)

PN = LN/2 = 46/2 = 23

ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = 32.53 (Rounding to two decimal places)

MN = ON = 32.53

6. m ∠EFG = 90°

m ∠GDH = ∠GDH/2 = 90/2 = 45°

m ∠FEG = ∠DEF/2 = 90/2 = 45°

m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = 90°

7. Solve for x

6x - 21 = ∠PQR/2

6x - 21 = 90/2

6x - 21 = 45

6x = 45 +21

6x = 66

x = 11