Answer:
Step-by-step explanation:
angle A = angle B (because they are alternate exterior angles)
8x+6=4x+38
8x-4x=38-6
4x=32
x=32/4
x=8
For angle A
8x+6
8*8+6
64+6
70
For angle B
4x+38
4*8+38
32+38
70
Calculating the cost of 4.25 kilogram(kg) is £2.38, by multiplying it by 4.25 kg by 1 kg.
<h3>Cost</h3>
Costs are the expenses incurred in the manufacture, marketing, or preparation of a good or asset for regular use. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.
Given,
2.5 kg cost £1.40 i.e,
2.5 kg = £1.40
For 1 kg= 
= £0.56
To find the cost of 4.25 kg:
Then,
1 kg = £0.56
4.25 kg = 0.56 x 4.25
= £2.38
£2.38 is the cost of 4.25kg after calculating it.
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Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,

m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?

Cross multiply:


Divide both sides by 0.68 to solve for XY


XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
A = area of the circle
A = pi*r^2
A = pi*11^2
A = 121pi
-----
B = area of the rectangle
B = length*width
B = 6*4
B = 24
-----
C = blue shaded area
C = A - B
C = 121pi - 24 which is the exact area in terms of pi
C = 356.1327 is what you'd get if you used a calculator
C = 356.13 is the result after rounding to the nearest hundredth
<h3>The final answer is 356.13</h3>