Remark
Supplementary angles add up to 180o.
Givens
<1 = 124
<2 = 2x + 4
I imagine you are looking for either x or <2.
Equation
<1 + <2 = 180 Substitute the givens
124 + 2x + 4 = 180 Collect like terms on the left.
128 + 2x = 180 Subtract 128 from both sides
2x = 180 - 128 Collect like terms on the right
2x = 52 divide by 2
x = 52/2
x = 26 <<<<<<<<< answer
<1 = 124
<2 = 2x + 4 = 2*26 + 4
<2 = 52 + 4
<2 = 56 <<<<<<<< answer
We need choices if you want an exact answer.
Answer:
b............ .......... which one is a b c d
For this case we must indicate the graph of the following inequality:
y≥1−3x
It is observed that inequality includes equality, so the boundary line of the graph will not be dotted, so we discard options D and C.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
It is not fulfilled
We test the last option B, we choose the point (3,1) that belongs to the graph:
1≥1−3(3)
\1≥1−9
1≥−8
it is fulfilled
