To find m<3, we can use the angle sum of triangles, in which the addition all angles in a triangle must be equal to 180°.
In this case:
m<3 +52°+29° = 180°
m<3 + 81° = 180°
m<3 = 180°-81°
m<3 = 99°
To find m<4, we can use adjacent angles on a straight line, where the addition of angles on a straight line must be 180°.
In this case:
m<4 + 99° = 180°
m<4 = 180°-99°
m<4 = 81°
Therefore m<3 is 99° while m<4 is 81°.
Hope it helps!
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Answer:
1. (x -3)(x -1)
2. (x -4)(x +1)
Step-by-step explanation:
1. The long division is shown in the first attachment. The quotient is (x -3), so the factorization is ...
x^2 -4x +3 = (x -1)(x -3)
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2. The long division is shown in the second attachment. The quotient is (x -4), so the factorization is ...
x^2 -3x -4 = (x +1)(x -4)