Answer:
m∠5 = 67
m∠7 = 67
Step-by-step explanation:
m∠4 and m∠5 add up to 180 because they are same side interior angles.
180 - 113 = m∠5
m∠5 = 67
m∠5 = m∠7 because they are vertically opposite angles
hence, m∠7 = 67 degrees
(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
Louis traveled 7,144 miles
Answer:
3*( 8-2n)=5n
The number is 24/11
Step-by-step explanation:
three times
3*
the difference of eight and twice a number
3*( 8-2n)
is five times the number
3*( 8-2n)=5n
To solve
Distribute
3*8 -3*2n = 5n
24 -6n = 5n
Add 6n to each side
24 - 6n +6n = 5n +6n
24 = 11n
Divide each side by 11
24/11 = 11n/11
24/11 =n
The number is 24/11
