Answer:
£2112
Step-by-step explanation:
To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts
Divide the win by 5 to find the value of one part of the ratio.
£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus
4 parts = 4 × £1760 = £7040 ← Gavin's share
Now repeat the process with the ratio for his family
1 + 6 + 3 = 10 parts
£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus
6 × £704 = £4224 ← wife's share
3 × £704 = £2112 ← son's share
Difference = £4224 - £2112 = £2112
Thus his wife gets £2112 more than the son
Number one : x^6 yz^8
number two : 64x^6 z^12 / y^9
number three : x^9 y^3
number four : y^7/x^7z^3
number five : x^3/5y^2
number six : x^12y^3/z^6
Sure. The function is a parabola. Because the coefficient of the x^2 term is positive, it opens upward. that means that it vertex is a minimum point.
You can verify that the vertex is (0,24). That means that at the point x=0, the height of the bridge is 24m. So if the level water rises below 24 m, the bridge is safe to use.
Answer:
= 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides 
, 
, and 
intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to , we have for ΔBGD and ΔCGD;
≅ by reflexive property
∠GDB = ∠GDC = 90° given that is the perpendicular bisector of
Similarly, 
≅ 
, also given that is the perpendicular bisector of
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
≅ 
by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
= = 9 by definition of congruency
∴ = 9.
