Step-by-step explanation:
y=6+4x, as equation (iii)
=> -5x-(6+4x)=21
=> -5x-6-4x=21
=> -5x-4x-6=21
=> -9x-6=21
=> -9x=21+6
=> -9x=27
x= -3, by dividing both sides by -9
So, by inserting x in the first equation,
=> -4(-3)+y=6
=> 12+y=6
=> y=6-12
=> y= -6.
Therefore, x= -3 and y= -6
Answer:
28
Step-by-step explanation:
Answer:
Draw an open circle on 3 and shade to the left.
Step-by-step explanation:
First, solve the inequality.
x - 6 < -3
x - 6 + 6 < -3 + 6
x < 3
The less than symbol (<) indicates that 3 is not part of the solution set. Therefore, the circle will be open.
Since the inequality indicates that x is less than 3, shade to the left of 3.
Hope that helps. :)
Answer:
m < 2 = 137°
m < 4 = 137°
Step-by-step explanation:
Given that m < 7 = 43°, we can say that it has the same measure as < 3 because they are corresponding angles. Thus, we can establish that m < 3 = 43°.
We can use m < 3 = 43° to find m < 4, as they are supplementary angles that have a sum of 180°.
Therefore:
m < 3 + m < 4 = 180°
Rearrange the formula to isolate m < 4:
m < 4 = 180° - m < 3
Substitute the value of m < 3 into the rearranged formula:
m < 4 = 180° - m < 3
m < 4 = 180° - 43°
m < 4 = 137°
Therefore, m < 4 = 137°.
< 2 and < 4 also have the same measure because they are vertical angles. Two angles are vertical angles if they are opposite angles formed by the intersection of two lines.
Hence, m < 2 = 137°
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