Answer:
X = 3°
Step-by-step explanation:
Since O and T are parallel you can use alternating lines
7x + 5° = 5x + 11° (alt. angles, O||T)
Move the 5x and the 5°
7x - 5x = 11° - 5°
2x = 6°
Divide both sides by 2
x = 3°
This is assuming 11 is an angle
From trigonometry we know that:
if 
then,
(where
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, 
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of
that match.
For n=2, (Equation 2) gives us:
.
Thus, 
Now, we know that: 
Let n=-1, then:

Thus, 
Likewise, 
Only the last option
will never match
because no integral value of
will ever give 
Thus the last option is the correct option.
Answer: A. UWV and UWZ are complementary angles.
B.They do not overlap, so UWV and VWX are supplementary angles
Step-by-step explanation:
Complementary angles add up to 90.
Supplementary angles do not overlap.
Answer:
£2.80
Step-by-step explanation:
7%= 7/100
(7/100)*40=2.8
let x represent granddaughter and x +2 for grandson and together they = 12
so then we have the equation of x+2+x = 12
combine like terms 2x +2 =12
-2 from both sides to isolate x
2x=10 divide both sides by 2 to get x by itself
so we get x = 5 then add 2 +5=7
so grandson is 7 and granddaughter is 5