I think this is the Transitive postulate of equality.
Personally I can't see much point in giving labels to these equalities.
Answer: 4 is 110 degrees and 3 and 1 is 70 degrees.
Step-by-step explanation: 4 is equal to 2 so 4 is 110 degrees 4
110 x 2 = 220 360 - 220 = 140/2 = 70 so 3 and 1 = 70 degrees
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
3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2....slope of this line is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -2/3 (see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = -2/3
(-3,-2).....x = -3 and y = -2
now we sub and find b, the y int
-2 = -2/3(-3) = b
-2 = 2 + b
-2 - 2 = b
-4 = b
so ur perpendicular equation is : y = -2/3x - 4 <==
Answer:
(6x+3)(6x-3)
Step-by-step explanation:
I used FOIL
Multiply the first numbers 6x*6x=36x^2
The outer -18x
Inner 18x which the outer and the inner cross out
Last 3*-3=-9
36x^2 -9