Answer:
The length of the BC is 25 units .
Step-by-step explanation:
As shown in the diagram
In ΔABC
∠B = ∠C (As given)
(If the angles are equal than their opposite sides are also equal .)
Thus
AB = BC
As given
AB = 4x + 4
AC = 6x - 14
Thus
4x + 4 = 6x - 14
6x - 4x = 14 + 4
2x = 18
x = 9
Put in the
BC = 2x + 7
= 2 × 9 + 7
= 18 + 7
= 25 units
Therefore the length of the BC is 25 units .
Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = 
= 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Answer:
£ 114
Step-by-step explanation:
From the question given above, the following data were obtained:
Price of TV = £ 1200
VAT = 20%
Amount paid = £ 300
Amount paid monthly =.?
Next, we shall determine the VAT. This can be obtained as follow:
VAT = 20% of price of TV
VAT = 20/100 × 1200
VAT = £ 240
Next, we shall determine the total cost of the TV. This can be obtained as follow:
Price of TV = £ 1200
VAT = £ 240
Total cost of TV =?
Total cost = Price + VAT
Total cost = 1200 + 240
Total cost = £ 1440
Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:
Total cost = £ 1440
Amount paid = £ 300
Balance amount =?
Balance = Total cost – Amount paid
Balance = 1440 – 300
Balance = £ 1140
Finally, we shall determine the amount Harry will pay month.
Balance Amount = £ 1140
Number of months = 10
Amount paid monthly =.?
Amount paid monthly = Balance / number of month
Amount paid monthly = 1140 / 10
Amount paid monthly = £ 114
Therefore, Harry will pay £ 114 monthly.
No values of z make the equations true.
