1.

Please please answer me fast important for school homework1)Factorise :a) x²+6x+8 b) a²+5a+6 c) x²-x-7²2)State and prove interior angles theorem for triangle3)In triangle ABC if angle A=55°,angle B=40°,find angle C=?4)The angle of a triangle are in ratio 1:2:3 determine the angle 5)Indentity the property in the following statements a) 2+(3+4)=(2+3)+4b) 2x8=8x2please please answer me fast ​

Answer»

Step-by-step explanation:

1.a.) {x}^{2} + 6x + 8 \\ = > {x}^{2} + 4x + 2x + 8 \\ = > x(x + 4) + 2(x + 4) \\ = > (x + 4)(x + 2) \\ \\ <klux>B</klux>.) {a}^{2} + 5a + 6 \\ = > {a}^{2} + 3a + 2a + 6 \\ = > a(a + 3) + 2(a + 3) \\ = > (a + 3)(a + 2) \\ \\ <klux>C</klux>.) {x}^{2} - x - {7}^{2} \\ = > this \: queston \: is \: wrong. \: pleasecheck \: it

3. Given that

A=55°

B =40°

C=?

i \: let \: < c = x \\ we \: know \: that \: < a + < b + < c = 180 \\ we \: substute \: the \: value a, \: \: b , and \: c \\ \: \: \: \: \: we \: have \\ \: \: \: \: \: \: \: \: \: \: \: \: 55 + 40 + x = 180 \\ = > 95 + x = 180 \\ = > x = 180 - 95 \\ = > x = 85 \\ now \: < c = 85

4.). I LATE 1:2:3=x,2x,3x

we \: know \: that \: summation \: of \: angle \: of \: triangle \: is \: 180 \: degree \: \\ \: \: so \\ \: \: \: \: \: < a + < b + < c = 180 \\ = > \: x + 2x + 3x = 180 \\ = > 6x = 180 \\ = > x = \frac{180}{6} \\ = > x = 30

Now

5. a.) 2+(3+4)=(2+3)+4

addition \: <klux>ASSOCIATIVE</klux> \: property

b.)2x8=8x2= MULTIPLICATION associative property


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