Answer:
See solution below
Step-by-step explanation:
Given the expression

Recall that
cos x = sin(90-x)
cos(x+30 ) = sin (90-(x+30)
= sin(90-x-30)
= sin(60-x)
Substitute

Answer:
Step-by-step explanation:
first has 3 equal sides: equilateral
second has 2 equal sides: isosceles
third has 3 different sides: scalene
4th has a right-angle: right
5th has all angles <90deg: acute
6th has an angle >90deg: obtuse
Answer: m<5 is 71 degrees, m<8 is 109 degrees
Step-by-step explanation: M<5 and m<1 are corresponding angles, so they have the same angle measurement.
M<5 and M<8 are angles on a line, meaning they must add up to 180 degrees, so you subtract m<5's angle measure from 180 to find that m<8 is 109 degrees.
Hope this helps.
The answer 850709 is
6
because
if there is $48 to spend on the event and it costs $8 for each attendee, divide 48 by 8 to get 6.
Answer:
x = -3
Step-by-step explanation:
You have the following equation:

you first you distribution property in order to eliminate the parenthesis:

next, you subtract 12 in both sides of the equation:

Finally, you divide the equation by 6 and simplify:

hence, the solution to the equation is x = -3