13. If you have ₹ (100 3 ‒ 5x + 3) in your wallet, you got a gift of ₹ (10 3 + 3x) and you spent ₹ (80 3 ‒ 2 2 +9) in buying food, how much money is left in your pocket?

10x³+2x²-8x-6

Step-by-step explanation:

Total amount = ₹ (100x³ ‒ 5x + 3)

Amont spent in gift = ₹ (10x³ + 3x)

Amount spent in buying food = ₹ (80x³ ‒ 2x² +9)

Left amount = Total amount - (Amount spent in gift+Amount spent in buying food)

= (100x³ ‒ 5x + 3)- [(10x³ + 3x)+(80x³ ‒ 2x² +9)]

= (100x³ ‒ 5x + 3)-(10x³ +3x+80x³ ‒ 2x² +9)

= 100x³ ‒ 5x + 3-10x³-3x-80x³ +2x²-9

= 10x³+2x²-8x-6

Hence, this is the required solution.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.