Question

Please please answer me fast important for school homework
1)Factorise :a) x²+6x+8
b) a²+5a+6
c) x²-x-7²

2)State and prove interior angles theorem for triangle

3)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)+4
b) 2x8=8x2

please please answer me fast ​

Answer 1

Step-by-step explanation:

$1.a.) {x}^{2} + 6x + 8 \\ = > {x}^{2} + 4x + 2x + 8 \\ = > x(x + 4) + 2(x + 4) \\ = > (x + 4)(x + 2) \\ \\ b.) {a}^{2} + 5a + 6 \\ = > {a}^{2} + 3a + 2a + 6 \\ = > a(a + 3) + 2(a + 3) \\ = > (a + 3)(a + 2) \\ \\ c.) {x}^{2} - x - {7}^{2} \\ = > this \: queston \: is \: wrong. \: pleasecheck \: it$

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

<a=x=30°

<b=2x=2×30°=60°

<c=3x=3×30°=90°

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

$addition \: associative \: property$

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

Answer 2

Answer:

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