<u>4.</u> Since angles 1 and 2 are supplementary, this means they add up to 180 degrees. Make them add up to 180 in an equation and solve for a. Substitute a back into m∠2 to find your answer.
(11a + 19) + (6a - 9) = 180
Combine like terms.
17a + 10 = 180
Subtract 10 from both sides.
17a = 170
Divide both sides by 17 to isolate and solve for the variable a.
a = 10
Substitute 10 for a into m∠2.
6(10) - 9 ==> 60 - 9 = 51
The measure of angle 2 is 51 degrees.
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<u>5.</u> Since Ray BD bisects ∠ABC that means that both the formed angles are equal to each other, so make them equal to each other in an equation.
5y - 3 = 2y + 12
Add 3 to both sides.
5y = 2y + 15
Subtract 2y from both sides.
3y = 15
Divide both sides by 3 to isolate and solve for the variable y.
y = 5
Use the identity
sin u cos v = 1/2(sin (u + v) + sin(u - v))
so its:-
1/2(sin(8x) + sin (-4x)) Answer
Step-by-step explanation:
Given that,
The length of a wire, L = 48 m
Current in the wire, I = 18 A (west to east)
The magnetic field in the wire, B = 
(towards south)
The magnetic force acting on the wire is given by :
Using right hand rule, the direction of magnetic force is upwards.
The answer is the first choice
Answer:
75 degrees.
Step-by-step explanation:
the line is directly in the middle of 70 and 80.
answer (C)
