105.91 is the answer for you
Answer:
4.5
Step-by-step explanation:
→ Set up the direct proportion equation
z = kx
→ Substitute in the values
12 = 3k
→ Divide both sides by 3 to isolate k
4 = k
→ Substitute the value of k back into the original direct proportion equation
z = 4x
→ Substitute the value of z in
18 = 4x
→ Divide both sides by 4 to isolate x
4.5 = x
Answer:
104 degrees
Step-by-step explanation:
First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.
Next we need to find GDC
Angles in a triangle add up to 180 degrees therefore...
Angle GDC + DCG + DGC = 180
Plug in the values we found into the equation
Angle GDC + 37 + 90 = 180
Angle GDC + 127 = 180
Angle GDC = 53
Therefore Angle ADC = 53 + 51 = 104 degrees
Since ABCD is a parallelogram, then opposite angles are equal therefore...
Angle B = 104 degrees