The value of x is 8.
Solution:
Given
.
DG = 60, NQ = 48, DN = 15, NV = x + 4
<u>To find the value of x:</u>
<em>Property of similar triangle:</em>
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.


Do cross multiplication.


Subtract 240 from both side of the equation.


Divide by 60 on both sides of the equation.


Hence the value of x is 8.
Answer: a) 146 units used b) the cost of the number of units used is 3136 p.
Step-by-step explanation:
Since we have given that
First 100 units = 24 p per unit
Remaining units = 16 p per unit
New reading = 7143 units
Old reading = 6997 units
Difference between the readings would be

So, there are 146 units used.
(B) Calculate the cost of the number of units used
There are 146 units
For the first 100 units = 24 p per unit
For the remaining i.e. 146-1400 = 46 units , cost = 16 p per unit
Total cost of the number of units used is given by

Hence, a) 146 units used b) the cost of the number of units used is 3136 p.
Answer: -5.428
Step-by-step explanation:
33 + 5 + 7z = 0
38 + 7z = 0
7z = -38
z = -38/7