Answer:
120 degrees
Step-by-step explanation:
Since p is parallel to q, <6 and <8 are congruent because of corresponding angles.
m<8=m<6
120=m<6
Since m<8 is 120, and the two angles are congruent, the m<6 is also 120 degrees.
Your line is wrong from the start. But for the equation:
Answer:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
5
/4
Decimal Form:
x
=
1.25
Mixed Number Form:
x
=
1 1/4
Step-by-step explanation:
THE ANSWER IS C
Rule of trigonometric functions:-
sin a = cos(90 - a)
Here a = 90°.
sin 90 = cos (90 - 90)
1 = cos 0.
cos 0 = 1.
So the cos 0 = 1.
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.