Answer:
Some relationships:
Angle FGH + Angle FHG = 90
sin(FGH) = cos(FHG)
cos(FGH) = sin(FHG)
x = 0
This is because 4 x 0 = 0 and 3 x 0 = 0. That leaves us with 5, and 5 = 5. Therefore x = 0
Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
This is a kite due to the adjacent congruent sides (shown by the tickmarks). With any kite, the diagonals are perpendicular. So angle 3 is 90 degrees.
<h3>Answer: 90 degrees</h3>
Answer:
r= -189
Step-by-step explanation:
