Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,
180 = m<1 + m<2 + m<3
180 - m<3 = m<1 + m<2
But, we also know that m<4 + m<3 = 180 degrees.
180 = m<3 + m<4
180 - m<3 = m<4
Both m<4 and m<1 + m<2 equals 180 - m<3
m<4 = m<1 + m<2
Answer:
Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)
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A Twelve less than three times a number is greater than or equal to nine.
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B Twelve less than three times a number is at least nine.
C Twelve less three times a number is at least nine.
D Twelve minus the product of three and a number is no more than nine.
E Twelve less three times a number is at most nine.
F Twelve minus the product of three and a number is no smaller than nine.
G Twelve minus the product of three and a number is larger than nine.
Step-by-step explanation:
12 - 3x>=9
4-x=31
-4=-4
x=27
27 is the answer
Answer:
Corresponding Angles and Alternate Exterior
Step-by-step explanation:
The angles are corresponding if same side in a parallel.
This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.
For the other problems if they are opposite sides from one another.
They are called alternate exteriors.
Step-by-step explanation:
E
working ;
(3x+2)^2
*Apply Perfect Square Formula : (a+b) =a^2+2ab+b^2
a = 3x,b = 2
(3x)^2 + 3x.2+2^2
finally Answer is:
= 9x^2 + 12x +4