Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
If we consider the center of the habitat to be a point - then a circle with a radius of 1.5 km <u /><u />would satisfy the problem.
The path would go around the point (habitiat) and would always be 1.5 km from that point.
Answer:
The answer is -12
Step-by-step explanation:
2xy + 3x + 4x + 3 if x = 5 and y = -5
Now,
2xy + 3x + 4x + 3
2(5)(-5) + 3(5) + 4(5) + 3
-50 + 15 + 20 + 3
38 - 50 = -12
Thus, The answer is -12
<u>-</u><u>TheUnknownScientist</u>
Answer:
105+50=155 so 180 subtract 155 is 25
Answer: x>8
Subtract 8 from both sides -6x< -48 (40 is a negative so -8 will just add to it)
Divide -48 and -6
X< 8 (since they’re both negative it’ll turn into a positive because we divided)
Turn the <
X>8